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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Organ. Psychol.</journal-id>
<journal-title>Frontiers in Organizational Psychology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Organ. Psychol.</abbrev-journal-title>
<issn pub-type="epub">2813-771X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/forgp.2023.1200117</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Organizational Psychology</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Weekly reciprocal relationships between job crafting, work engagement, and performance&#x02014;a within-person approach</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>Lopper</surname> <given-names>Elisa</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x0002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/2268828/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Milius</surname> <given-names>Marvin</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Reis</surname> <given-names>Dorota</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Nitz</surname> <given-names>Sandra</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Hoppe</surname> <given-names>Annekatrin</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Department of Psychology, Humboldt-Universit&#x000E4;t zu Berlin</institution>, <addr-line>Berlin</addr-line>, <country>Germany</country></aff>
<aff id="aff2"><sup>2</sup><institution>Klinikum Landau-S&#x000FC;dliche Weinstra&#x000DF;e</institution>, <addr-line>Landau</addr-line>, <country>Germany</country></aff>
<aff id="aff3"><sup>3</sup><institution>Department of Psychology, Saarland University, Saarbr&#x000FC;cken</institution>, <addr-line>Saarland</addr-line>, <country>Germany</country></aff>
<aff id="aff4"><sup>4</sup><institution>Department of Natural and Environmental Science, University Kaiserslautern-Landau</institution>, <addr-line>Landau</addr-line>, <country>Germany</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Jessica M. Nicklin, University of Hartford, United States</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Delia Virga, West University of Timi&#x0015F;oara, Romania; Or Shkoler, Universit&#x000E9; de Montr&#x000E9;al, Canada</p></fn>
<corresp id="c001">&#x0002A;Correspondence: Elisa Lopper <email>elisa.lopper&#x00040;hu-berlin.de</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>20</day>
<month>07</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>1</volume>
<elocation-id>1200117</elocation-id>
<history>
<date date-type="received">
<day>04</day>
<month>04</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>07</day>
<month>07</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2023 Lopper, Milius, Reis, Nitz and Hoppe.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Lopper, Milius, Reis, Nitz and Hoppe</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/"><p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p></license> </permissions>
<abstract>
<sec>
<title>Introduction</title>
<p>Following the principles of the conservation of resources theory, this study explored whether job crafting, work engagement, and performance are reciprocally related from one week to the next.</p></sec>
<sec>
<title>Method</title>
<p>Data (<italic>N</italic> = 175) from a weekly diary study were analyzed using a random intercept cross-lagged panel model (RI-CLPM) to differentiate between stable trait-like between-unit and state-like within-person components.</p></sec>
<sec>
<title>Results</title>
<p>The results revealed that, within weeks, job crafting, work engagement, and performance are associated with each other. Across weeks, on average, job crafting levels predicted work engagement and performance at the within-person level the following week. Inversely, work engagement, on average, predicted job crafting the next week, providing evidence for a positive cycle between both variables. Finally, work engagement and performance were reciprocally related from one week to the next, although the effects varied significantly in magnitude and direction.</p></sec>
<sec>
<title>Discussion</title>
<p>Overall, the within-person relationships between job crafting, work engagement, and performance were more heterogeneous than anticipated.</p></sec></abstract>
<kwd-group>
<kwd>job crafting</kwd>
<kwd>gain cycles</kwd>
<kwd>reciprocal relationships</kwd>
<kwd>within-person level</kwd>
<kwd>conservation of resources theory</kwd>
</kwd-group>
<contract-sponsor id="cn001">Deutsche Forschungsgemeinschaft<named-content content-type="fundref-id">10.13039/501100001659</named-content></contract-sponsor>
<counts>
<fig-count count="3"/>
<table-count count="4"/>
<equation-count count="0"/>
<ref-count count="97"/>
<page-count count="16"/>
<word-count count="13104"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Work Motivation and Participation</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>Introduction</title>
<p>Job crafting, as a form of proactive behavior at work, describes self-initiated changes in one&#x02018;s job (Wrzesniewski and Dutton, <xref ref-type="bibr" rid="B93">2001</xref>; Tims and Bakker, <xref ref-type="bibr" rid="B78">2010</xref>). Meta-analytical research has highlighted the importance of job crafting and has shown that it leads to numerous desirable outcomes for employees and organizations, such as work engagement and performance (Rudolph et al., <xref ref-type="bibr" rid="B62">2017</xref>; Lee and Lee, <xref ref-type="bibr" rid="B47">2018</xref>; Lichtenthaler and Fischbach, <xref ref-type="bibr" rid="B48">2019</xref>; Boehnlein and Baum, <xref ref-type="bibr" rid="B13">2022</xref>). Both job crafting outcomes have been identified as important for organizations (e.g., Bakker and Albrecht, <xref ref-type="bibr" rid="B3">2018</xref>) and are the most studied variables related to job crafting (Gemmano et al., <xref ref-type="bibr" rid="B29">2020</xref>). According to the conservation of resources theory (COR; Hobfoll, <xref ref-type="bibr" rid="B36">1989</xref>), job crafting enables employees to create a resourceful work environment (i.e., resource investment behavior), which enhances work engagement and offers them the opportunity to do their job well. Given its positive effects, understanding job crafting antecedents is crucial for fostering self-initiated changes to the job. Following another principle of COR theory, an initial resource reservoir enables employees to increase further resources that ultimately tend to form resource caravans (Hobfoll, <xref ref-type="bibr" rid="B38">2002</xref>). Thus, an increase in work engagement and performance through job crafting may further facilitate the mobilization of resources, whereby job crafting can be used again for this purpose.</p>
<p>Combining these two directions, job crafting, work engagement, and performance cannot be labeled solely as antecedents or outcomes. Rather, job crafting, work engagement, and performance can be reciprocally related to one another over time, indicating the cyclical nature of the relationships (i.e., gain cycles; Hobfoll, <xref ref-type="bibr" rid="B38">2002</xref>) between these constructs. Some studies have investigated the reciprocal relationship between job crafting and work engagement (Harju et al., <xref ref-type="bibr" rid="B35">2016</xref>; Vogt et al., <xref ref-type="bibr" rid="B88">2016</xref>; Lichtenthaler and Fischbach, <xref ref-type="bibr" rid="B48">2019</xref>). However, the results are inconsistent, do not include performance, consider long time intervals (e.g., 3 years), and mix between-unit (i.e., stable differences between employees; also known as between-person) and within-person (i.e., intraindividual dynamics within employees) effects. Since employees work in a dynamic work environment, they have to respond to changing situations. As a result, job crafting fluctuates <italic>within</italic> an employee over short periods (e.g., weekly; Petrou et al., <xref ref-type="bibr" rid="B56">2017</xref>). Given these fluctuations, it is important to know whether job crafting induces short-term reciprocal effects on work engagement and performance among employees. This provides more clarity as to whether (a) employees-initiated changes contribute to employees&#x00027; work engagement and performance within short periods of time, (b) employees need to be engaged at work and perform well to initiate changes to their job, or whether (c) both directions are possible. Moreover, this expands the research conducted at the between-units level.</p>
<p>Taken together, our study extends the literature in several ways. First, we extend the COR theory by examining the role of resource investment behavior (i.e., job crafting) and how it can be predicted by its own outcomes, work engagement and performance. Revealing the reciprocal relationships between the study variables would suggest that positive job crafting outcomes influence future resource investment behavior, indicating gain cycles. Thus, not only resources are able to induce such cycles (Xanthopoulou et al., <xref ref-type="bibr" rid="B94">2009</xref>) but also actions to create resources (i.e., job crafting). Second, as COR theory is a dynamic approach, the present study provides a better understanding of how job crafting, work engagement, and performance are related to each other at the within-person level from one week to the next. In contrast to many studies that examined gain cycles within the framework of COR theory at the between-unit level, our study provides insights into within-person gain cycles over a relatively short period of time (across weeks) to address the fluctuating nature of resources (Hobfoll, <xref ref-type="bibr" rid="B37">2001</xref>). Furthermore, short-term resource gain cycles are important for understanding weekly work experiences, behaviors, and their effects (Halbesleben and Wheeler, <xref ref-type="bibr" rid="B33">2015</xref>). Nevertheless, to maintain a holistic view of the relationships between the variables and to better understand the effects of within-person fluctuations, we also considered between-unit differences.</p>
<p>Third, to achieve our research aim, we used a homogenous professional group of teachers. We chose teachers because they experience similar working weeks throughout their weekly teaching rhythm, which, for example, involves teaching the same classes every week. Hence, confounding variables, which may influence our study variables, can be kept constant and controllable. Further, on the one hand, teachers&#x00027; work provides opportunities (e.g., freedom in the organization of lessons) for job crafting (Ghitulescu, <xref ref-type="bibr" rid="B30">2007</xref>). On the other hand, teachers are required to make ongoing adjustments to create good classes (Leana et al., <xref ref-type="bibr" rid="B46">2009</xref>), which are ensured through crafting. Additionally, owing their influence on pupils&#x00027; motivation and behaviors (e.g., Xie and Derakhshan, <xref ref-type="bibr" rid="B95">2021</xref>), it is crucial to have a deeper understanding of teachers&#x00027; weekly experiences and behaviors at work.</p>
<p>Finally, this study offers an innovative methodological approach for testing the hypotheses. In the past, reciprocal relationships were calculated using cross-lagged panel models (CLPM), which consider temporal stability at the within-person level between different measurement occasions (Hamaker et al., <xref ref-type="bibr" rid="B34">2015</xref>). However, CLPMs do not generally represent actual within-person-relationships over time because autoregressive relationships between study variables fail to account for the trait-like and time-invariant stabilities of constructs and mix within-person and between-unit variances (Hamaker et al., <xref ref-type="bibr" rid="B34">2015</xref>). To avoid these statistical limitations, we used a random intercept cross-lagged panel model (RI-CLPM; Hamaker et al., <xref ref-type="bibr" rid="B34">2015</xref>), which additionally modeled traits for each construct and partialed out between-unit variances. Thus, the specified cross-lagged effects reflect the pure within-person effects across the survey period.</p>
</sec>
<sec id="s2">
<title>Theory and hypotheses</title>
<sec>
<title>Between-unit effects of job crafting on work engagement and performance</title>
<p>Job crafting describes a process in which employees initiate changes in their jobs to adapt to their own needs and preferences (Wrzesniewski and Dutton, <xref ref-type="bibr" rid="B93">2001</xref>). To this end, three strategies can be employed: task, relational, and cognitive crafting. Employees craft their tasks by changing the scope, extent, number, or type of job tasks (e.g., teachers introduce new teaching methods that align with their interests). Relational crafting involves changes in the quality or quantity of relationships at work (e.g., teachers spend more time working with colleagues who teach the same subject). Finally, cognitive crafting refers to alterations in the cognitive representations of one&#x00027;s job (e.g., teachers perceive their job as preparing pupils for life, rather than simply teaching a subject).</p>
<p>Many meta-analytical studies have confirmed the positive impact of job crafting on various positive work-related outcomes (Rudolph et al., <xref ref-type="bibr" rid="B62">2017</xref>; Lichtenthaler and Fischbach, <xref ref-type="bibr" rid="B48">2019</xref>; Boehnlein and Baum, <xref ref-type="bibr" rid="B13">2022</xref>). In this study, we focused on work engagement and performance as the most studied constructs related to job crafting (Gemmano et al., <xref ref-type="bibr" rid="B29">2020</xref>). Engaged and high-performing employees are associated with better work-related well-being and employability (e.g., Bakker and Demerouti, <xref ref-type="bibr" rid="B5">2007</xref>; Neuber et al., <xref ref-type="bibr" rid="B53">2022</xref>). First, work engagement is conceptualized as an affective, fulfilling, work-related state of mind characterized by vigor, dedication, and absorption (Schaufeli et al., <xref ref-type="bibr" rid="B68">2002</xref>). Engaged employees put more energy into their jobs, are more enthusiastic about their work, and are more fully concentrated when doing their job tasks compared to non-engaged employees. Second, we turn to performance. Performance is defined as &#x0201C;actions, behavior, and outcomes that employees engage in or bring about that are linked with and contribute to organizational goals&#x0201D; (Viswesvaran and Ones, <xref ref-type="bibr" rid="B87">2000</xref>, p. 216).</p>
<p>According to COR theory (Hobfoll, <xref ref-type="bibr" rid="B36">1989</xref>), people strive to obtain, protect, invest, and accumulate resources at work to avoid loss of resources. While the latter has negative effects on employees, a gain in resources can stimulate further resources (i.e., gain cycles; Hobfoll, <xref ref-type="bibr" rid="B38">2002</xref>). Resources at work play an important role, as they are drivers of many work-related outcomes, such as work engagement and performance (e.g., Schaufeli and Taris, <xref ref-type="bibr" rid="B69">2014</xref>). Job crafting includes important actions (e.g., intensifying relationships at work) that enable employees to shape their jobs to make them more resourceful by creating a work environment that better fits their abilities, skills, or preferences (Wrzesniewski and Dutton, <xref ref-type="bibr" rid="B93">2001</xref>; Tims et al., <xref ref-type="bibr" rid="B79">2012</xref>). Thus, through job crafting, employees expand their pool of resources at work (Dubbelt et al., <xref ref-type="bibr" rid="B22">2019</xref>), allowing them to experience personal growth and achieve their work goals (Demerouti et al., <xref ref-type="bibr" rid="B20">2001</xref>). Ultimately, it has a motivating effect, for instance, on work engagement.</p>
<p>Furthermore, by engaging in job crafting, employees create a resourceful work environment with favorable working conditions (Lee and Lee, <xref ref-type="bibr" rid="B47">2018</xref>), which facilitates more effective use of resources (Tims et al., <xref ref-type="bibr" rid="B81">2013</xref>; Guan and Frenkel, <xref ref-type="bibr" rid="B31">2018</xref>). Consequently, employees have more opportunities to perform well (S&#x000F8;rlie et al., <xref ref-type="bibr" rid="B76">2022</xref>; Tisu et al., <xref ref-type="bibr" rid="B82">2022</xref>). For instance, intensifying relationships at work (i.e., relational crafting) employees may receive more relevant work-related information (Weseler and Niessen, <xref ref-type="bibr" rid="B92">2016</xref>), which, in turn, may help increase their performance. Meta-analytical findings have confirmed positive associations between job crafting, work engagement, and performance at the between-unit level (i.e., correlations between stable differences in the constructs between employees) (Rudolph et al., <xref ref-type="bibr" rid="B62">2017</xref>; Lee and Lee, <xref ref-type="bibr" rid="B47">2018</xref>; Boehnlein and Baum, <xref ref-type="bibr" rid="B13">2022</xref>). Although the present study focuses on within-person relationships, we aim to replicate previous research at the between-unit level and propose the following hypothesis:</p>
<list list-type="simple">
<list-item><p><italic>Hypothesis 1:</italic> Job crafting is positively associated with (a) work engagement and (b) performance at the between-units level.</p></list-item>
</list>
</sec>
<sec>
<title>Between-unit effects of work engagement and performance on job crafting</title>
<p>A unidirectional view of the effect of job crafting on work engagement and performance does not fully address the complex nature of these relationships. Specifically, engaged and high-performing employees are likely to engage in job crafting. These employees can be motivated to fulfill (further) work goals (Xanthopoulou et al., <xref ref-type="bibr" rid="B94">2009</xref>), for which they need resources. These were provided through job crafting. To explain the reverse effects of work engagement and performance on job crafting, we build on broaden-and-build (B&#x00026;B) theory. According to this theory, experiencing positive affective states (e.g., positive emotions) <italic>broadens</italic> an individual&#x00027;s mindset (Fredrickson, <xref ref-type="bibr" rid="B25">1998</xref>, <xref ref-type="bibr" rid="B26">2001</xref>), which means that their thought-action repertoires are prompted to use a wider range of thoughts and actions than usual. In this way, people can <italic>build</italic> various resources (e.g., psychological and social resources; Fredrickson, <xref ref-type="bibr" rid="B26">2001</xref>). For instance, employees who experience positive emotions are more likely to be creative, explore new information, or integrate different aspects of their jobs (Fredrickson, <xref ref-type="bibr" rid="B26">2001</xref>). These new thoughts and actions may help employees craft their jobs by changing their tasks or relationships at work or the cognitive representation of their job.</p>
<p>Work engagement and performance are sources of positive emotions at work. First, by definition, work engagement includes positive affective components (Schaufeli et al., <xref ref-type="bibr" rid="B68">2002</xref>). This means that if employees who are involved in their work are also enthusiastic and inspired by their work (dedication), they can experience positive arousal together with positive emotions (Bakker and Oerlemans, <xref ref-type="bibr" rid="B6">2011</xref>). Second, well-performing employees receive positive feedback on their actions and behavior at work, which in turn leads them to experience positive emotions at work (Fisher and Ashkanasy, <xref ref-type="bibr" rid="B24">2000</xref>; Hu and Kaplan, <xref ref-type="bibr" rid="B40">2015</xref>). Furthermore, well-performing employees receive information about the effectiveness of their work (i.e., job-based feedback) and perceive their personal achievements to which they can react with positive emotions (e.g., pride; Belschak and Den Hartog, <xref ref-type="bibr" rid="B10">2009</xref>). Thus, positive emotions created by work engagement and performance can, according to the B&#x00026;B theory, encourage employees to think in a creative way and change their task or relational or cognitive boundaries at work proactively through job crafting. Meta-analytical support indicates that work engagement and performance are positively related to job crafting at the between-units level (Rudolph et al., <xref ref-type="bibr" rid="B62">2017</xref>; Lee and Lee, <xref ref-type="bibr" rid="B47">2018</xref>; Lichtenthaler and Fischbach, <xref ref-type="bibr" rid="B48">2019</xref>). Hence, we hypothesize:</p>
<list list-type="simple">
<list-item><p><italic>Hypothesis 2:</italic> (a) Work engagement and (b) performance are positively associated with job crafting at the between-units level.</p></list-item>
</list>
</sec>
<sec>
<title>Within-person effects of job crafting on work engagement and performance</title>
<p>Although the literature confirms positive between-unit associations between job crafting and work engagement and performance, we are also interested in within-person relationships between these variables, as employees use job crafting to satisfy short-term needs (Petrou et al., <xref ref-type="bibr" rid="B57">2012</xref>) in response to dynamic, demanding situations (e.g., when reframing a task-related problem). Accordingly, job crafting has been shown to fluctuate within employees (i.e., at the within-person level) between days and weeks (Petrou et al., <xref ref-type="bibr" rid="B57">2012</xref>, <xref ref-type="bibr" rid="B56">2017</xref>; Geldenhuys et al., <xref ref-type="bibr" rid="B28">2021</xref>). As a result of short-term (i.e., daily or weekly) fluctuations in job crafting, in line with COR theory, short-term variations in employees&#x00027; resourceful work environments can affect work engagement and performance. Indeed, there is initial evidence that at the within-person level, job crafting is positively related to work engagement and performance (e.g., Bakker and Oerlemans, <xref ref-type="bibr" rid="B7">2019</xref>; Kooij et al., <xref ref-type="bibr" rid="B43">2020</xref>; Zampetakis, <xref ref-type="bibr" rid="B96">2023</xref>). Most studies have investigated the effects of <italic>daily</italic> job crafting on work engagement or performance. However, the results have been inconsistent. Often, they do not reveal that daily (general) job crafting is clearly related to daily work engagement or performance (Petrou et al., <xref ref-type="bibr" rid="B56">2017</xref>; e.g., Bindl et al., <xref ref-type="bibr" rid="B11">2019</xref>; Vakola et al., <xref ref-type="bibr" rid="B83">2020</xref>). As job crafting involves changes and efforts that require time to unfold (Tims and Bakker, <xref ref-type="bibr" rid="B78">2010</xref>), the benefits of job crafting may not materialize immediately. Perhaps, more time is needed for job crafting to affect work engagement and performance. Therefore, we propose that the consideration of <italic>weekly</italic> fluctuations is a more appropriate timeframe for examining within-person associations between job crafting, work engagement, and performance. Two studies examining such weekly relationships mainly supported the assumption of a temporal component (Petrou et al., <xref ref-type="bibr" rid="B56">2017</xref>; Geldenhuys et al., <xref ref-type="bibr" rid="B28">2021</xref>). Nevertheless, these results were obtained with single job crafting strategies (e.g., task crafting) and not with job crafting in general. Therefore, further research is required in this regard.</p>
<p>Our sample of teachers is well suited for obtaining deeper insight into the weekly associations between job crafting, work engagement, and performance, as a teacher&#x00027;s everyday work is similarly structured from one week to the next. For example, in 1 week, teachers craft their jobs (e.g., using new teaching practices to improve lessons; task crafting), which allows them to build a resourceful work environment. This, in turn, can affect their work engagement and performance the following week. Therefore, we propose:</p>
<list list-type="simple">
<list-item><p><italic>Hypothesis 3:</italic> Weekly job crafting levels affect (a) weekly work engagement and (b) weekly performance from one week to the next.</p></list-item>
</list>
</sec>
<sec>
<title>Within-person effects of work engagement and performance on job crafting</title>
<p>Research has revealed that work engagement and performance fluctuate within employees between days and weeks (e.g., Binnewies et al., <xref ref-type="bibr" rid="B12">2010</xref>; Sonnentag et al., <xref ref-type="bibr" rid="B74">2010a</xref>). In other words, employees are not equally engaged in work or do not perform their jobs equally well on all days or weeks. Moreover, fluctuations in work engagement and performance can result in fluctuating positive emotions. Employees experiencing positive emotions can broaden their thoughts and actions in the short term (e.g., weekly), which in turn may help them proactively change their work through job crafting in a short period of time.</p>
<p>To date, no study has investigated the within-person effects of work engagement or performance on job crafting. While longitudinal studies have examined the effect of work engagement on job crafting (e.g., Lu et al., <xref ref-type="bibr" rid="B50">2014</xref>; Harju et al., <xref ref-type="bibr" rid="B35">2016</xref>; Hakanen et al., <xref ref-type="bibr" rid="B32">2018</xref>), these studies did not clearly separate between-unit and within-person effects. This means that previous positive associations between work engagement and job crafting are a merging of stable between-unit associations and within-person relationships. Nevertheless, one study with teachers revealed weekly fluctuations in their work engagement and performance (Bakker and Bal, <xref ref-type="bibr" rid="B4">2010</xref>). Interestingly, at the within-person level, engaged teachers reported more job resources the following week (Bakker and Bal, <xref ref-type="bibr" rid="B4">2010</xref>). These teachers may have created their own resourceful work environments through weekly job crafting. However, this mechanism was not investigated in this study. The weekly structure of a teacher&#x00027;s job helps us to explore these reverse relationships within teachers. For example, in one week, classes go very well and teachers are engaged and receive positive feedback on their performance (e.g., through pupils&#x00027; behavior), thus stimulating positive emotions. These positive emotions may, in turn, enable teachers to broaden their repertoire of actions through job crafting the following week. Therefore, we propose:</p>
<list list-type="simple">
<list-item><p><italic>Hypothesis 4:</italic> (a) Weekly work engagement and (b) weekly performance affect weekly job crafting levels from one week to the next.</p></list-item>
</list>
</sec>
<sec>
<title>Reciprocal within-person relationships between job crafting, work engagement, and performance</title>
<p>Combining the unidirectional and reverse effects described above, we expect that job crafting, work engagement, and performance are reciprocally related at the within-person level. According to the COR theory, resources evolve in caravans (Hobfoll, <xref ref-type="bibr" rid="B38">2002</xref>), which means that resources may occur with further resources over time. Based on this proposition, we assume that a resourceful work environment, shaped by job crafting, is not only related to work engagement and performance but also stimulates gain cycles, in which work engagement and performance are also related to job crafting. Gain <italic>cycles</italic> can be viewed as reciprocal relationships between constructs that relate to each other over time (Salanova et al., <xref ref-type="bibr" rid="B63">2011</xref>). We explicitly do not assume gain <italic>spirals</italic>, which include extending loops in cyclic relationships between constructs (Lindsley et al., <xref ref-type="bibr" rid="B49">1995</xref>; Salanova et al., <xref ref-type="bibr" rid="B63">2011</xref>), because we are not interested in an increase in the levels of job crafting, work engagement, and performance across weeks.</p>
<p>Investigations have been conducted on the reciprocal relationship between job crafting and work engagement (Harju et al., <xref ref-type="bibr" rid="B35">2016</xref>; Vogt et al., <xref ref-type="bibr" rid="B88">2016</xref>; Lichtenthaler and Fischbach, <xref ref-type="bibr" rid="B48">2019</xref>; Watson and Sinclair, <xref ref-type="bibr" rid="B90">2022</xref>). Surprisingly, three of them did not show reciprocal relationships between the variables but revealed unidirectional effects of work engagement on job crafting (Harju et al., <xref ref-type="bibr" rid="B35">2016</xref>) and job crafting on work engagement (Vogt et al., <xref ref-type="bibr" rid="B88">2016</xref>; Watson and Sinclair, <xref ref-type="bibr" rid="B90">2022</xref>). Vogt et al. (<xref ref-type="bibr" rid="B88">2016</xref>) assumed that the relationship between the variables is more complex and that a within-person approach should be considered. A longitudinal meta-analytical investigation confirmed that promotion-focused job crafting&#x02013;a specific orientation of job crafting that includes changes to realize gains at work&#x02013;was reciprocally related to work engagement (Lichtenthaler and Fischbach, <xref ref-type="bibr" rid="B48">2019</xref>). However, this research considered the reciprocal relationship between job crafting and work engagement for long time intervals (e.g., 3 years) and did not distinguish between-unit and within-person effects, such that the results lumped both together. Similar investigations have not been conducted on performance.</p>
<p>As noted by Vogt et al. (<xref ref-type="bibr" rid="B88">2016</xref>), reciprocal relationships must consider the within-person level. This allows for better insights into the gain cycles between job crafting, work engagement, and performance within employees. Although teachers&#x00027; schedules are mainly divided into weeks, they experience various changes within a week to which they must adapt continuously. These include a switch in teaching topics, changing dynamics in classes, or various forms of lesson preparation. Through job crafting, teachers are able to adjust their work (e.g., adapt their teaching methods) within a week, which allows them to create a resourceful work environment. According to COR theory this affects their work engagement and performance in the following week. Simultaneously, teachers who are engaged and perform their job well (e.g., successful lessons), experience positive emotions which, following B&#x00026;B theory, stimulate them to explore new things by crafting their job in the subsequent week. Furthermore, considering that a high level of work engagement and performance in one week has been achieved through a resourceful work environment, these existing resources enable employees to activate further resources through job crafting. This is consistent with COR theory (Hobfoll, <xref ref-type="bibr" rid="B36">1989</xref>), which states that employees with greater resources are more capable of activating resource. Thus, weekly gain cycles can be triggered by job crafting.</p>
<p>Over and above reciprocal relationships between job crafting, work engagement, and performance, we postulate that work engagement and performance mutually affect each other. Many studies have intensively investigated the link between work engagement and performance (Christian et al., <xref ref-type="bibr" rid="B15">2011</xref>). Based on the assumption that work engagement induces positive emotions, this positive affective state can broaden people&#x00027;s thought-action repertoire and build enduring resources (Fredrickson, <xref ref-type="bibr" rid="B26">2001</xref>). Being engaged implies engaging in tasks with more energy (vigor), experiencing enthusiasm and pride (dedication), and working intensively on tasks (absorption), which enables an individual to perform his or her job well. Studies examining the within-person level confirm this assumption. For example, weekly work engagement was positively associated with weekly performance in teachers (Bakker and Bal, <xref ref-type="bibr" rid="B4">2010</xref>).</p>
<p>By contrast, performing well at work leads to acknowledgment and positive feedback about one&#x00027;s work, which strengthens work engagement (Laguna and Razmus, <xref ref-type="bibr" rid="B45">2019</xref>). More specifically, performance feedback, a well-known job resource, provides employees with information about the achievement of their goals, which has external motivational potential (Schaufeli and Bakker, <xref ref-type="bibr" rid="B65">2004</xref>) and can increase work engagement. Consequently, we assumed that teachers who report a higher level of performance perceive that their pupils are learning more, and, therefore, are energized and enthusiastic about their work. Due to the weekly teaching rhythm, we also expected weekly effects between performance and work engagement among teachers.</p>
<p>Following the proposition of gain cycles between job crafting, work engagement, and performance, we propose the following hypothesis:</p>
<list list-type="simple">
<list-item><p><italic>Hypothesis 5:</italic> Weekly job crafting levels, weekly work engagement, and weekly performance are reciprocally related from one week to the next.</p></list-item>
</list>
</sec>
<sec>
<title>Goals and contributions of the current study</title>
<p>Taken together, the goal of the current study was to investigate pure within-person reciprocal relationships between job crafting, work engagement, and performance. More specifically, we suggest the weekly influences of each study variable on the others (<xref ref-type="fig" rid="F1">Figure 1</xref>). Therefore, we test whether job crafting acts as a resource investment behavior that, in turn, triggers gain cycles, as proposed in COR theory (Hobfoll, <xref ref-type="bibr" rid="B38">2002</xref>), with work engagement and performance. This would help to better understand how employees&#x00027; job crafting not only increases their work engagement and performance but also encourages them to further use job crafting. In addition to these within-person relationships, which are intraindividual dynamic processes, we aimed to replicate findings of between-unit effects between job crafting, work engagement, and performance over a period of 6 weeks.</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p>Proposed model of reciprocal relationships between job crafting, work engagement, and performance over six weeks.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="forgp-01-1200117-g0001.tif"/>
</fig>
</sec>
</sec>
<sec id="s3">
<title>Method</title>
<sec>
<title>Sample and procedure</title>
<p>The data for this study were collected from teachers in Germany between August 2018 and July 2019 using online surveys. The study was approved by the education authorities of the federal states in Germany. After receiving approval, we recruited the teachers via personal contacts as well as letters or calls to school principals and school authorities and calls using information obtained from newsletters and websites. Therefore, participants were informed about the procedure. At the beginning of the first survey, the participants had to consent to participate. After this initial survey (to assess stable baseline measures), the participants received a short questionnaire once a week in the morning (before classes started) on their chosen day for a period of 6 weeks. We used this time lag, assuming that teachers&#x00027; work lives were structured according to their weekly teaching schedules. Thus, the weekly study design aimed to minimize confounding effects, such as the teaching subject and size of classes that were likely to highly influence the study variables. Participation in the study was voluntary. If desired, participants received written feedback on their responses to the study variables at the end of the study.</p>
<p>Based on experiences from previous projects with teachers, we aimed to recruit approximately 200 teachers. In total, 181 teachers started the initial survey, six of whom did not complete the survey. Due to the small number of dropouts, we could not conduct a dropout analysis. Because participation in the surveys on top of their daily work constituted an additional workload for teachers, we wanted to detect inattentive responses and, therefore, conducted specific long-string analyses. No participant at any given measurement occasion fulfilled the applied criterion of (a) having a string of consistent responses equal to or greater than half the length of the total scale (Curran, <xref ref-type="bibr" rid="B16">2016</xref>), which (b) included an inverted item. The final sample of the study (<italic>N</italic> = 175) consisted of 66.5% female and 33.5% male teachers with a mean age of <italic>M</italic> = 43.68 (<italic>SD</italic> = 10.75) years. Most of the participants (76.0 %) taught at high schools, 20.4% at secondary schools, and 3.6% at primary schools. The average job tenure was 15.91 years (<italic>SD</italic> = 11.28), and the average teaching time per week was 21.90 hours (<italic>SD</italic> = 4.95). Additionally, the participants spent an average of 16.52 hours (<italic>SD</italic> = 8.39) per week on preparatory and follow-up work for their classes.</p>
</sec>
<sec>
<title>Measures</title>
<p>As the present article focuses on the within-person approach, we only utilized data from weekly measurements. More specifically, we used job crafting, work engagement, and performance data collected in the morning, referring to the previous working week.</p>
<sec>
<title>Job crafting</title>
<p>Job crafting was assessed using the German version (Schachler et al., <xref ref-type="bibr" rid="B64">2019</xref>) of the Job Crafting Questionnaire (JCQ; Slemp and Vella-Brodrick, <xref ref-type="bibr" rid="B70">2013</xref>), adapted for teachers. The scale captures the three job crafting strategies, according to Wrzesniewski and Dutton (<xref ref-type="bibr" rid="B93">2001</xref>). We assessed two items per subscale [e.g., &#x0201C;Last week I introduced new approaches to improve my teaching&#x0201D; (task crafting); &#x0201C;Last week I made an effort to get to know my colleagues at work better&#x0201D; (relational crafting); &#x0201C;Last week I remembered how important my work is to society&#x0201D; (cognitive crafting)]. Participants were asked to rate all items on a 5-point scale ranging from 1 (<italic>I fully disagree</italic>) to 5 (<italic>I fully agree</italic>).</p>
</sec>
<sec>
<title>Work engagement</title>
<p>Work engagement was measured using the German version of the Utrecht Work Engagement Scale (UWES-9; Schaufeli et al., <xref ref-type="bibr" rid="B66">2006</xref>), adapted for teachers and shortened by three items. We measured work engagement using six items, two items per aspect of work engagement: vigor (e.g., &#x0201C;Last week I felt bursting with energy in my classes.&#x0201D;), dedication (e.g., &#x0201C;Last week I was enthusiastic about my classes.&#x0201D;) and absorption (e.g., &#x0201C;Last week I felt happy when I was working intensively.&#x0201D;). Responses were given on a 7-point scale (1 = <italic>never</italic>; 7 = <italic>always</italic>).</p>
</sec>
<sec>
<title>Performance</title>
<p>Performance was operationalized with teachers&#x00027; self-reports on the quality of their instruction. It is a key variable in educational research that describes the pattern of instructional behavior in classes and can predict the achievement of educational goals (Weinert et al., <xref ref-type="bibr" rid="B91">1989</xref>). One dimension of teachers&#x00027; instructional quality is individual learning support &#x02013; the extent to which pupils receive personal support from teachers, stimulating their individual learning processes, and offering help when difficulties occur (Kunter and Baumert, <xref ref-type="bibr" rid="B44">2006</xref>). The scale (Baumert et al., <xref ref-type="bibr" rid="B8">2009</xref>) consists of seven items (e.g., &#x0201C;I take care of my pupils when they have problems&#x0201D;); responses were given on a 6-point scale (1 = <italic>I fully disagree</italic>; 6 = <italic>I fully agree</italic>).</p>
</sec>
</sec>
<sec>
<title>Data analysis</title>
<p>All analyses were performed in R Studio (RStudio Team, <xref ref-type="bibr" rid="B61">2021</xref>) using the lavaan package (Rosseel, <xref ref-type="bibr" rid="B60">2015</xref>). First, we conducted confirmatory factor analyses to examine the measurement invariance of job crafting, work engagement, and performance over time. <xref ref-type="table" rid="T1">Table 1</xref> summarizes the model fits. We fit four CFA models with increasing restrictions imposed on the model parameters. Beyond the chi-square difference tests, we considered changes in different fit indices (e.g., CFI and RMSEA). Following Chen&#x00027;s (<xref ref-type="bibr" rid="B14">2007</xref>) recommendations for small sample sizes (i.e., &#x0003C; 300), &#x00394;CFI, &#x00394;RMSEA, and &#x00394;SRMR were no &#x0003E;0.005, 0.10, or 0.025, respectively. Thus, we assumed that these measures remain invariant over time.</p>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p>Summary of measurement invariance models.</p></caption> 
<table frame="box" rules="all">
<thead>
<tr style="background-color:&#x00023;919498;color:&#x00023;ffffff">
<th valign="top" align="left"><bold>Model</bold></th>
<th valign="top" align="center"><bold>&#x003C7;<sup>2</sup></bold></th>
<th valign="top" align="center"><bold>df</bold></th>
<th valign="top" align="center"><bold><italic>p</italic>-value</bold></th>
<th valign="top" align="center"><bold><italic>&#x00394;&#x003C7;</italic><sup>2</sup></bold></th>
<th valign="top" align="center"><bold>&#x00394;df</bold></th>
<th valign="top" align="center"><bold><italic>p</italic>-value</bold></th>
<th valign="top" align="center"><bold>CFI</bold></th>
<th valign="top" align="left"><bold>RMSEA (CI 90%)</bold></th>
<th valign="top" align="center"><bold>SRMR</bold></th>
<th valign="top" align="center"><bold>AIC</bold></th>
<th valign="top" align="center"><bold>BIC</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Configural</td>
<td valign="top" align="center">1,650.7</td>
<td valign="top" align="center">522</td>
<td valign="top" align="center">&#x0003C; 0.001</td>
<td/>
<td/>
<td/>
<td valign="top" align="center">0.804</td>
<td valign="top" align="left">0.138 (0.131; 0.146)</td>
<td valign="top" align="center">0.095</td>
<td valign="top" align="center">25,499.107</td>
<td valign="top" align="center">26,801.470</td>
</tr> <tr>
<td valign="top" align="left">Metric</td>
<td valign="top" align="center">1,727.4</td>
<td valign="top" align="center">582</td>
<td valign="top" align="center">&#x0003C; 0.001</td>
<td valign="top" align="center">76.637</td>
<td valign="top" align="center">60</td>
<td valign="top" align="center">0.073</td>
<td valign="top" align="center">0.801</td>
<td valign="top" align="left">0.132 (0.125; 0.139)</td>
<td valign="top" align="center">0.099</td>
<td valign="top" align="center">25,455.744</td>
<td valign="top" align="center">26,486.781</td>
</tr> <tr>
<td valign="top" align="left">Scalar</td>
<td valign="top" align="center">1,796.2</td>
<td valign="top" align="center">642</td>
<td valign="top" align="center">&#x0003C; 0.001</td>
<td valign="top" align="center">68.871</td>
<td valign="top" align="center">60</td>
<td valign="top" align="center">0.202</td>
<td valign="top" align="center">0.800</td>
<td valign="top" align="left">0.126 (0.119; 0.133)</td>
<td valign="top" align="center">0.103</td>
<td valign="top" align="center">25,404.615</td>
<td valign="top" align="center">26,164.327</td>
</tr>
<tr>
<td valign="top" align="left">Strict</td>
<td valign="top" align="center">1,809.9</td>
<td valign="top" align="center">657</td>
<td valign="top" align="center">&#x0003C; 0.001</td>
<td valign="top" align="center">13.684</td>
<td valign="top" align="center">15</td>
<td valign="top" align="center">0.550</td>
<td valign="top" align="center">0.800</td>
<td valign="top" align="left">0.124 (0.118; 0.131)</td>
<td valign="top" align="center">0.104</td>
<td valign="top" align="center">25,388.299</td>
<td valign="top" align="center">26,080.179</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic>Note</italic>. Configural = no restrictions. Metric = factor loadings are constrained to be equal. Scalar = factor loadings and intercepts are constrained to be equal. Strict = factor loadings, intercepts and means constrained to be equal.</p>
</table-wrap-foot>
</table-wrap>
<p>To test our hypotheses, we used random intercept cross-lagged panel models (RI-CLPM; <xref ref-type="fig" rid="F2">Figure 2</xref>). These models are an extension of traditional cross-lagged panel models (CLPM) and account for stable, trait-like differences between individuals (Hamaker et al., <xref ref-type="bibr" rid="B34">2015</xref>). This means that stable differences between teachers&#x00027; job crafting, work engagement, and performance can be distinguished from the fluctuating states of job crafting, work engagement, and performance. To estimate the average, stable between-unit differences, we specified latent intercept factors for each variable, with factor loadings constrained to one. That is, between-unit scores represent individuals&#x00027; deviations from the grand means over six weeks. The within-person components of job crafting, work engagement, and performance were specified as latent variables referring to intrapersonal deviations from the expected person-specific scores (Mulder and Hamaker, <xref ref-type="bibr" rid="B52">2021</xref>).</p>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p>Proposed Random intercept cross-lagged panel model (RI-CLPM).</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="forgp-01-1200117-g0002.tif"/>
</fig>
<p>Autoregressive effects reflect the extent to which within-person deviations in one variable (e.g., job crafting) can be predicted by preceding deviations from one&#x00027;s expected score for that variable. Thus, autoregressive parameters can be viewed as within-person carry-over effects (Hamaker et al., <xref ref-type="bibr" rid="B34">2015</xref>). Cross-lagged effects indicate the extent to which deviations from one&#x00027;s expected score for a variable (e.g., work engagement) can be predicted by preceding deviations from one&#x00027;s expected score for another variable (e.g., job crafting level).</p>
<p>The structural part of RI-CLPM was gradually extended and tested. In the first model (M1, the stability model), we estimated autoregressive effects only. Second, we include the cross-lagged effects of job crafting on work engagement and performance (M2). Third, we added the reverse effects of work engagement and performance on job crafting (M3). Fourth, we tested the full RI-CLPM, including the reciprocal relationships between job crafting, work engagement, and performance (M4). Finally, we extended Model 4 by constraining the autoregressive loadings of each construct to be equal over time (M5) to address the given measurement invariances. We consider sex, age, working hours, and tenure as possible control variables. The results showed that these variables did not influence the effects of job crafting, work engagement, or performance. Because the chi-square difference test indicated no significant difference between the models with and without control variables [&#x00394;&#x003C7;<sup>2</sup> (60) = 0.76.824, <italic>p</italic> = 0.071], we did not include the control variables further because of parsimony.</p>
<p>For the model estimation, we used the maximum likelihood estimator with robust standard errors, which is robust against violations of normality, and full-information maximum likelihood estimation to account for missing data on single occasions. All models (M1 &#x02013; M5) were assessed based on the criteria for model fit (Marsh et al., <xref ref-type="bibr" rid="B51">2005</xref>) and compared using AIC, BIC, and chi-square difference tests. Cross-lagged effects (i.e., standardized effect sizes) were interpreted based on benchmark values (Orth et al., <xref ref-type="bibr" rid="B55">2022</xref>).</p>
</sec>
</sec>
<sec sec-type="results" id="s4">
<title>Results</title>
<p><xref ref-type="table" rid="T2">Table 2</xref> presents means, standard deviations, and intercorrelations of the study variables for each week. Intraclass correlations (ICCs) for the study variables (ICC<sub>jc</sub> = 0.65, ICC<sub>we</sub> = 0.59, ICC<sub>pe</sub> = 0.52) implied sufficient within-person variability in job crafting, work engagement, and performance. The fit indices of the models are listed in <xref ref-type="table" rid="T3">Table 3</xref>. The full RI-CLPM (M4) showed good model fit. Although the model fit of Model 5 was not statistically distinguishable from that of Model 4, because of the sake of parsimony, we report and interpret the parameter estimates for Model 5. <xref ref-type="table" rid="T4">Table 4</xref> and <xref ref-type="fig" rid="F3">Figure 3</xref> present the parameter estimates for this model.</p>
<table-wrap position="float" id="T2">
<label>Table 2</label>
<caption><p>Means, standard deviations, reliability estimators, and zero-order correlations of job crafting, work engagement, and performance over six weeks.</p></caption> 
<table frame="box" rules="all">
<thead>
<tr style="background-color:&#x00023;919498;color:&#x00023;ffffff">
<th/>
<th valign="top" align="center"><bold><italic>M</italic></bold></th>
<th valign="top" align="center"><bold><italic>SD</italic></bold></th>
<th valign="top" align="center"><bold>1</bold></th>
<th valign="top" align="center"><bold>2</bold></th>
<th valign="top" align="center"><bold>3</bold></th>
<th valign="top" align="center"><bold>4</bold></th>
<th valign="top" align="center"><bold>5</bold></th>
<th valign="top" align="center"><bold>6</bold></th>
<th valign="top" align="center"><bold>7</bold></th>
<th valign="top" align="center"><bold>8</bold></th>
<th valign="top" align="center"><bold>9</bold></th>
<th valign="top" align="center"><bold>10</bold></th>
<th valign="top" align="center"><bold>11</bold></th>
<th valign="top" align="center"><bold>12</bold></th>
<th valign="top" align="center"><bold>13</bold></th>
<th valign="top" align="center"><bold>14</bold></th>
<th valign="top" align="center"><bold>15</bold></th>
<th valign="top" align="center"><bold>16</bold></th>
<th valign="top" align="center"><bold>17</bold></th>
<th valign="top" align="center"><bold>18</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">1. Job crafting T1</td>
<td valign="top" align="center">2.48</td>
<td valign="top" align="center">0.66</td>
<td valign="top" align="center">(0.67/0.59)</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">2. Job crafting T2</td>
<td valign="top" align="center">2.50</td>
<td valign="top" align="center">0.68</td>
<td valign="top" align="center"><bold>0.73</bold></td>
<td valign="top" align="center">(0.71/0.65)</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">3. Job crafting T3</td>
<td valign="top" align="center">2.51</td>
<td valign="top" align="center">0.67</td>
<td valign="top" align="center"><bold>0.63</bold></td>
<td valign="top" align="center"><bold>0.69</bold></td>
<td valign="top" align="center">(0.71/0.65)</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">4. Job crafting T4</td>
<td valign="top" align="center">2.45</td>
<td valign="top" align="center">0.74</td>
<td valign="top" align="center"><bold>0.66</bold></td>
<td valign="top" align="center"><bold>0.66</bold></td>
<td valign="top" align="center"><bold>0.71</bold></td>
<td valign="top" align="center">(0.76/0.68)</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">5. Job crafting T5</td>
<td valign="top" align="center">2.49</td>
<td valign="top" align="center">0.76</td>
<td valign="top" align="center"><bold>0.58</bold></td>
<td valign="top" align="center"><bold>0.60</bold></td>
<td valign="top" align="center"><bold>0.72</bold></td>
<td valign="top" align="center"><bold>0.82</bold></td>
<td valign="top" align="center">(0.76/0.61)</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">6. Job crafting T6</td>
<td valign="top" align="center">2.37</td>
<td valign="top" align="center">0.75</td>
<td valign="top" align="center"><bold>0.62</bold></td>
<td valign="top" align="center"><bold>0.64</bold></td>
<td valign="top" align="center"><bold>0.65</bold></td>
<td valign="top" align="center"><bold>0.75</bold></td>
<td valign="top" align="center"><bold>0.78</bold></td>
<td valign="top" align="center">(0.79/0.79)</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">7. Work engagement T1</td>
<td valign="top" align="center">4.66</td>
<td valign="top" align="center">0.71</td>
<td valign="top" align="center"><bold>0.24</bold></td>
<td valign="top" align="center"><bold>0.25</bold></td>
<td valign="top" align="center">0.09</td>
<td valign="top" align="center"><bold>0.21</bold></td>
<td valign="top" align="center"><bold>0.20</bold></td>
<td valign="top" align="center">0.12</td>
<td valign="top" align="center">(0.85/0.85)</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">8. Work engagement T2</td>
<td valign="top" align="center">4.53</td>
<td valign="top" align="center">0.78</td>
<td valign="top" align="center"><bold>0.23</bold></td>
<td valign="top" align="center"><bold>0.34</bold></td>
<td valign="top" align="center"><bold>0.23</bold></td>
<td valign="top" align="center"><bold>0.31</bold></td>
<td valign="top" align="center"><bold>0.25</bold></td>
<td valign="top" align="center"><bold>0.20</bold></td>
<td valign="top" align="center"><bold>0.64</bold></td>
<td valign="top" align="center">(0.91/0.91)</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">9. Work engagement T3</td>
<td valign="top" align="center">4.51</td>
<td valign="top" align="center">0.86</td>
<td valign="top" align="center"><bold>0.22</bold></td>
<td valign="top" align="center"><bold>0.30</bold></td>
<td valign="top" align="center"><bold>0.37</bold></td>
<td valign="top" align="center"><bold>0.36</bold></td>
<td valign="top" align="center"><bold>0.34</bold></td>
<td valign="top" align="center"><bold>0.28</bold></td>
<td valign="top" align="center"><bold>0.63</bold></td>
<td valign="top" align="center"><bold>0.67</bold></td>
<td valign="top" align="center">(0.89/0.89)</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">10. Work engagement T4</td>
<td valign="top" align="center">4.56</td>
<td valign="top" align="center">1.03</td>
<td valign="top" align="center"><bold>0.32</bold></td>
<td valign="top" align="center"><bold>0.37</bold></td>
<td valign="top" align="center"><bold>0.33</bold></td>
<td valign="top" align="center"><bold>0.52</bold></td>
<td valign="top" align="center"><bold>0.31</bold></td>
<td valign="top" align="center"><bold>0.27</bold></td>
<td valign="top" align="center"><bold>0.59</bold></td>
<td valign="top" align="center"><bold>0.64</bold></td>
<td valign="top" align="center"><bold>0.68</bold></td>
<td valign="top" align="center">(0.94/0.94)</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">11. Work engagement T5</td>
<td valign="top" align="center">4.66</td>
<td valign="top" align="center">0.84</td>
<td valign="top" align="center">0.18</td>
<td valign="top" align="center">0.22</td>
<td valign="top" align="center">0.19</td>
<td valign="top" align="center"><bold>0.40</bold></td>
<td valign="top" align="center"><bold>0.37</bold></td>
<td valign="top" align="center"><bold>0.33</bold></td>
<td valign="top" align="center"><bold>0.60</bold></td>
<td valign="top" align="center"><bold>0.72</bold></td>
<td valign="top" align="center"><bold>0.66</bold></td>
<td valign="top" align="center"><bold>0.64</bold></td>
<td valign="top" align="center">(0.91/0.90)</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">12. Work engagement T6</td>
<td valign="top" align="center">4.53</td>
<td valign="top" align="center">0.89</td>
<td valign="top" align="center"><bold>0.23</bold></td>
<td valign="top" align="center"><bold>0.25</bold></td>
<td valign="top" align="center"><bold>0.24</bold></td>
<td valign="top" align="center"><bold>0.32</bold></td>
<td valign="top" align="center"><bold>0.28</bold></td>
<td valign="top" align="center"><bold>0.40</bold></td>
<td valign="top" align="center"><bold>0.49</bold></td>
<td valign="top" align="center"><bold>0.58</bold></td>
<td valign="top" align="center"><bold>0.68</bold></td>
<td valign="top" align="center"><bold>0.53</bold></td>
<td valign="top" align="center"><bold>0.66</bold></td>
<td valign="top" align="center">(0.92/0.91)</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">13. Performance T1</td>
<td valign="top" align="center">4.58</td>
<td valign="top" align="center">0.85</td>
<td valign="top" align="center"><bold>0.31</bold></td>
<td valign="top" align="center"><bold>0.33</bold></td>
<td valign="top" align="center"><bold>0.21</bold></td>
<td valign="top" align="center"><bold>0.32</bold></td>
<td valign="top" align="center"><bold>0.33</bold></td>
<td valign="top" align="center"><bold>0.32</bold></td>
<td valign="top" align="center"><bold>0.42</bold></td>
<td valign="top" align="center"><bold>0.24</bold></td>
<td valign="top" align="center"><bold>0.30</bold></td>
<td valign="top" align="center"><bold>0.33</bold></td>
<td valign="top" align="center"><bold>0.28</bold></td>
<td valign="top" align="center"><bold>0.36</bold></td>
<td valign="top" align="center">(0.80/0.82)</td>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">14. Performance T2</td>
<td valign="top" align="center">4.55</td>
<td valign="top" align="center">0.88</td>
<td valign="top" align="center">0.07</td>
<td valign="top" align="center"><bold>0.24</bold></td>
<td valign="top" align="center">0.14</td>
<td valign="top" align="center"><bold>0.23</bold></td>
<td valign="top" align="center">0.17</td>
<td valign="top" align="center">0.18</td>
<td valign="top" align="center">0.11</td>
<td valign="top" align="center"><bold>0.29</bold></td>
<td valign="top" align="center"><bold>0.39</bold></td>
<td valign="top" align="center"><bold>0.24</bold></td>
<td valign="top" align="center"><bold>0.25</bold></td>
<td valign="top" align="center"><bold>0.37</bold></td>
<td valign="top" align="center"><bold>0.42</bold></td>
<td valign="top" align="center">(0.86/0.87)</td>
<td/>
<td/>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">15. Performance T3</td>
<td valign="top" align="center">4.70</td>
<td valign="top" align="center">0.94</td>
<td valign="top" align="center">0.11</td>
<td valign="top" align="center">0.11</td>
<td valign="top" align="center"><bold>0.23</bold></td>
<td valign="top" align="center"><bold>0.23</bold></td>
<td valign="top" align="center"><bold>0.28</bold></td>
<td valign="top" align="center"><bold>0.21</bold></td>
<td valign="top" align="center">0.14</td>
<td valign="top" align="center"><bold>0.23</bold></td>
<td valign="top" align="center"><bold>0.41</bold></td>
<td valign="top" align="center"><bold>0.36</bold></td>
<td valign="top" align="center"><bold>0.25</bold></td>
<td valign="top" align="center"><bold>0.44</bold></td>
<td valign="top" align="center"><bold>0.47</bold></td>
<td valign="top" align="center"><bold>0.56</bold></td>
<td valign="top" align="center">(0.87/0.87)</td>
<td/>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">16. Performance T4</td>
<td valign="top" align="center">4.47</td>
<td valign="top" align="center">1.15</td>
<td valign="top" align="center"><bold>0.33</bold></td>
<td valign="top" align="center"><bold>0.36</bold></td>
<td valign="top" align="center"><bold>0.26</bold></td>
<td valign="top" align="center"><bold>0.36</bold></td>
<td valign="top" align="center"><bold>0.37</bold></td>
<td valign="top" align="center"><bold>0.22</bold></td>
<td valign="top" align="center"><bold>0.27</bold></td>
<td valign="top" align="center"><bold>0.39</bold></td>
<td valign="top" align="center"><bold>0.33</bold></td>
<td valign="top" align="center"><bold>0.47</bold></td>
<td valign="top" align="center">0.20</td>
<td valign="top" align="center"><bold>0.32</bold></td>
<td valign="top" align="center"><bold>0.59</bold></td>
<td valign="top" align="center"><bold>0.54</bold></td>
<td valign="top" align="center"><bold>0.56</bold></td>
<td valign="top" align="center">(0.90/0.92)</td>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">17. Performance T5</td>
<td valign="top" align="center">4.68</td>
<td valign="top" align="center">1.02</td>
<td valign="top" align="center">0.14</td>
<td valign="top" align="center"><bold>0.23</bold></td>
<td valign="top" align="center">0.18</td>
<td valign="top" align="center"><bold>0.21</bold></td>
<td valign="top" align="center"><bold>0.26</bold></td>
<td valign="top" align="center"><bold>0.21</bold></td>
<td valign="top" align="center">0.18</td>
<td valign="top" align="center"><bold>0.36</bold></td>
<td valign="top" align="center"><bold>0.33</bold></td>
<td valign="top" align="center">0.13</td>
<td valign="top" align="center"><bold>0.22</bold></td>
<td valign="top" align="center"><bold>0.35</bold></td>
<td valign="top" align="center"><bold>0.44</bold></td>
<td valign="top" align="center"><bold>0.49</bold></td>
<td valign="top" align="center"><bold>0.58</bold></td>
<td valign="top" align="center"><bold>0.62</bold></td>
<td valign="top" align="center">(0.92/0.92)</td>
<td/>
</tr>
<tr>
<td valign="top" align="left">18. Performance T6</td>
<td valign="top" align="center">4.64</td>
<td valign="top" align="center">0.96</td>
<td valign="top" align="center"><bold>0.22</bold></td>
<td valign="top" align="center"><bold>0.24</bold></td>
<td valign="top" align="center"><bold>0.27</bold></td>
<td valign="top" align="center"><bold>0.28</bold></td>
<td valign="top" align="center"><bold>0.33</bold></td>
<td valign="top" align="center"><bold>0.32</bold></td>
<td valign="top" align="center"><bold>0.32</bold></td>
<td valign="top" align="center"><bold>0.40</bold></td>
<td valign="top" align="center"><bold>0.52</bold></td>
<td valign="top" align="center"><bold>0.35</bold></td>
<td valign="top" align="center"><bold>0.48</bold></td>
<td valign="top" align="center"><bold>0.53</bold></td>
<td valign="top" align="center"><bold>0.64</bold></td>
<td valign="top" align="center"><bold>0.55</bold></td>
<td valign="top" align="center"><bold>0.77</bold></td>
<td valign="top" align="center"><bold>0.53</bold></td>
<td valign="top" align="center"><bold>0.68</bold></td>
<td valign="top" align="center">(0.85/0.85)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic>Note. N</italic> = 175. T1 = Time 1; T2 = Time 2; T3 = Time 3, T4 = Time 4; T5 = Time 6; T6 = Time 6. Alpha/Mc Donald&#x00027;s omega coefficients are presented in parenthesis.</p>
<p>Bold correlation parameters indicate significant results with at least <italic>p</italic> &#x0003C; 0.05.</p>
</table-wrap-foot>
</table-wrap>
<table-wrap position="float" id="T3">
<label>Table 3</label>
<caption><p>Goodness-of-fit indices and comparison of the competing models.</p></caption> 
<table frame="box" rules="all">
<thead>
<tr style="background-color:&#x00023;919498;color:&#x00023;ffffff">
<th valign="top" align="left"><bold>Model</bold></th>
<th valign="top" align="center"><bold>&#x003C7;<sup>2</sup></bold></th>
<th valign="top" align="center"><bold>df</bold></th>
<th valign="top" align="center"><bold><italic>p</italic>-value</bold></th>
<th valign="top" align="center"><bold><italic>&#x00394;&#x003C7;</italic><sup>2</sup></bold></th>
<th valign="top" align="center"><bold>&#x00394;df</bold></th>
<th valign="top" align="center"><bold><italic>p</italic>-value</bold></th>
<th valign="top" align="center"><bold>CFI</bold></th>
<th valign="top" align="left"><bold>RMSEA (CI 90%)</bold></th>
<th valign="top" align="center"><bold>SRMR</bold></th>
<th valign="top" align="center"><bold>AIC</bold></th>
<th valign="top" align="center"><bold>BIC</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">M1</td>
<td valign="top" align="center">182.725</td>
<td valign="top" align="center">114</td>
<td valign="top" align="center">&#x0003C; 0.001</td>
<td/>
<td/>
<td/>
<td valign="top" align="center">0.950</td>
<td valign="top" align="left">0.061 (0.044; 0.078)</td>
<td valign="top" align="center">0.085</td>
<td valign="top" align="center">4,126.042</td>
<td valign="top" align="center">4,356.210</td>
</tr> <tr>
<td valign="top" align="left">M2</td>
<td valign="top" align="center">176.551</td>
<td valign="top" align="center">104</td>
<td valign="top" align="center">&#x0003C; 0.001</td>
<td valign="top" align="center">8.173</td>
<td valign="top" align="center">10</td>
<td valign="top" align="center">0.612</td>
<td valign="top" align="center">0.948</td>
<td valign="top" align="left">0.066 (0.049; 0.083)</td>
<td valign="top" align="center">0.083</td>
<td valign="top" align="center">4,136.059</td>
<td valign="top" align="center">4,396.916</td>
</tr> <tr>
<td valign="top" align="left">M3</td>
<td valign="top" align="center">173.309</td>
<td valign="top" align="center">104</td>
<td valign="top" align="center">&#x0003C; 0.001</td>
<td valign="top" align="center">0.074</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0.999</td>
<td valign="top" align="center">0.949</td>
<td valign="top" align="left">0.065 (0.047; 0.081)</td>
<td valign="top" align="center">0.084</td>
<td valign="top" align="center">4,135.985</td>
<td valign="top" align="center">4,396.842</td>
</tr> <tr>
<td valign="top" align="left">M4</td>
<td valign="top" align="center">121.942</td>
<td valign="top" align="center">84</td>
<td valign="top" align="center">0.004</td>
<td valign="top" align="center">49.1 87</td>
<td valign="top" align="center">20</td>
<td valign="top" align="center">&#x0003C; 0.001</td>
<td valign="top" align="center">0.973</td>
<td valign="top" align="left">0.052 (0.030; 0.072)</td>
<td valign="top" align="center">0.080</td>
<td valign="top" align="center">4,121.941</td>
<td valign="top" align="center">4,444.176</td>
</tr>
<tr>
<td valign="top" align="left">M5</td>
<td valign="top" align="center">128.293</td>
<td valign="top" align="center">96</td>
<td valign="top" align="center">0.015</td>
<td valign="top" align="center">10.722</td>
<td valign="top" align="center">12</td>
<td valign="top" align="center">0.553</td>
<td valign="top" align="center">0.975</td>
<td valign="top" align="left">0.046 (0.022; 0.068)</td>
<td valign="top" align="center">0.077</td>
<td valign="top" align="center">4,116.812</td>
<td valign="top" align="center">4,402.221</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic>Note</italic>. &#x003C7;<sup>2</sup> Chi-square goodness of fit statistics; CFI comparative fit indices; RMSEA root mean square error approximation; CI 90% confidence interval; SRMR standardized root mean square residual; AIC Akaike information criterion; BIC Bayesian information criterion; the &#x003C7;<sup>2</sup>-difference test was used to compare the different structural models. M1 stability model. M2 unidirectional effects: job crafting as predictor of work engagement and performance in the next week. M3 reverse effects: work engagement and performance as predictors of job crafting in the next week. M4 full random intercept cross-lagged panel model (RI-CLPM). M5 RI-CLPM with fixed autoregressive loadings to be equal over time.</p>
</table-wrap-foot>
</table-wrap>
<table-wrap position="float" id="T4">
<label>Table 4</label>
<caption><p>Summary of the relevant RI-CLPM parameter estimates of Model 5.</p></caption> 
<table frame="box" rules="all">
<thead>
<tr style="background-color:&#x00023;919498;color:&#x00023;ffffff">
<th/>
<th/>
<th/>
<th valign="top" align="center" colspan="2"><bold>Range</bold></th>
</tr>
</thead>
<tbody>
<tr style="background-color:&#x00023;919498;color:&#x00023;ffffff">
<td valign="top" align="left"><bold>Parameters</bold></td>
<td valign="top" align="center"><bold>Standardized mean effect size</bold><sup>a</sup> <bold>[95 % confidence intervals]</bold></td>
<td valign="top" align="center"><italic><bold>p</bold></italic><bold>-value</bold></td>
<td valign="top" align="center"><bold>Lowest standardized effect size</bold></td>
<td valign="top" align="center"><bold>Highest standardized effect size</bold></td>
</tr> <tr style="background-color:#dee1e1">
<td valign="top" align="left" colspan="5"><bold>Between-unit level</bold></td>
</tr> <tr>
<td valign="top" align="left">Correlations</td>
<td/>
<td/>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">JC &#x02013; WE</td>
<td valign="top" align="center">0.266 [0.112; 0.404]</td>
<td valign="top" align="center">0.030</td>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">JC &#x02013; PE</td>
<td valign="top" align="center">0.338 [0.193; 0.469]</td>
<td valign="top" align="center">0.005</td>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">WE &#x02013; PE</td>
<td valign="top" align="center">0.527 [0.405; 0.631]</td>
<td valign="top" align="center">&#x0003C; 0.001</td>
<td/>
<td/>
</tr> <tr style="background-color:#dee1e1">
<td valign="top" align="left" colspan="5"><bold>Within-person level</bold></td>
</tr> <tr>
<td valign="top" align="left">Autoregressive effects</td>
<td/>
<td/>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">JC T<sub>k</sub> &#x02013; JC T<sub>k&#x0002B;1</sub></td>
<td valign="top" align="center">0.333 [0.178; 0.493]</td>
<td valign="top" align="center">&#x0003C; 0.001</td>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">WE T<sub>k</sub> &#x02013; WE T<sub>k&#x0002B;1</sub></td>
<td valign="top" align="center">0.081 [&#x02212;0.101; 0.267]</td>
<td valign="top" align="center">0.378</td>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">PE T<sub>k</sub> &#x02013; PE T<sub>k&#x0002B;1</sub></td>
<td valign="top" align="center">0.147 [0.010; 0.258]</td>
<td valign="top" align="center">0.035</td>
<td/>
<td/>
</tr> <tr>
<td/>
<td valign="top" align="center">Standardized mean effect size<sup>b</sup></td>
<td valign="top" align="center">surrounding anchor<sup>c</sup> of the mean effect size</td>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">Cross-lagged effects</td>
<td/>
<td/>
<td/>
<td/>
</tr> <tr>
<td valign="top" align="left">JC T<sub>k</sub> &#x02013; WE T<sub>k&#x0002B;1</sub></td>
<td valign="top" align="center">0.205</td>
<td valign="top" align="center">Large effect</td>
<td valign="top" align="center">0.043</td>
<td valign="top" align="center">0.451</td>
</tr> <tr>
<td valign="top" align="left">WE T<sub>k</sub> &#x02013; JC T<sub>k&#x0002B;1</sub></td>
<td valign="top" align="center">0.090</td>
<td valign="top" align="center">Medium to large effect</td>
<td valign="top" align="center">0.013</td>
<td valign="top" align="center">0.264</td>
</tr> <tr>
<td valign="top" align="left">JC T<sub>k</sub> &#x02013; PE T<sub>k&#x0002B;1</sub></td>
<td valign="top" align="center">0.040</td>
<td valign="top" align="center">Small to medium effect</td>
<td valign="top" align="center">&#x02212;0.191</td>
<td valign="top" align="center">0.281</td>
</tr> <tr>
<td valign="top" align="left">PE T<sub>k</sub> &#x02013; JC T<sub>k&#x0002B;1</sub></td>
<td valign="top" align="center">0.037</td>
<td valign="top" align="center">Small to medium effect</td>
<td valign="top" align="center">&#x02212;0.046</td>
<td valign="top" align="center">0.083</td>
</tr> <tr>
<td valign="top" align="left">WE T<sub>k</sub> &#x02013; PE T<sub>k&#x0002B;1</sub></td>
<td valign="top" align="center">&#x02212;0.110</td>
<td valign="top" align="center">Medium to large effect</td>
<td valign="top" align="center">&#x02212;0.355</td>
<td valign="top" align="center">0.283</td>
</tr>
<tr>
<td valign="top" align="left">PE T<sub>k</sub> &#x02013; WE T<sub>k&#x0002B;1</sub></td>
<td valign="top" align="center">&#x02212;0.030</td>
<td valign="top" align="center">Small effect</td>
<td valign="top" align="center">&#x02212;0.392</td>
<td valign="top" align="center">0.156</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic>Note. N</italic> = 159. JC = Job crafting. WE = Work engagement. PE = Performance. <sup>a</sup>at the between-unit level, these estimates are correlations. <sup>b</sup>mean effect sizes were calculated manually. <sup>c</sup>according to (Orth et al., <xref ref-type="bibr" rid="B55">2022</xref>). T = Time.</p>
</table-wrap-foot>
</table-wrap>
<fig id="F3" position="float">
<label>Figure 3</label>
<caption><p>Simplified RI-CLPM of Model 5.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="forgp-01-1200117-g0003.tif"/>
</fig>
<p>At the between-unit level, there were positive correlations between job crafting and work engagement (<italic>r</italic> = 0.266; <italic>p</italic> = 0.030) and between job crafting and performance (<italic>r</italic> = 0.338; <italic>p</italic> = 0.005), supporting Hypotheses 1 and 2. At the within-person level, job crafting levels, work engagement, and performance correlated within weeks (i.e., cross-sectional associations). Furthermore, the autoregressive effects of job crafting (mean &#x003B2; = 0.333, range: 0.306&#x02013;0.347) and performance (mean &#x003B2; = 0.147, range: 0.092&#x02013;0.200) indicated positive carry-over effects (i.e., within-person deviations from the individual mean predicted deviations from the individual mean in the next week) of job crafting and performance between the weeks within teachers. By contrast, the autoregressive effects of work engagement (mean &#x003B2; = 0.081, range: 0.058&#x02013;0.127) varied across the six weeks.</p>
<p>Regarding the effects of job crafting (i.e., Hypothesis 3), at the within-person level, on average, job crafting level predicted work engagement (mean &#x003B2; = 0.205, large effect size; range:0.043&#x02013;0.451) and performance (mean &#x003B2; = 0.040, small to medium effect size; range: &#x02212;0.191&#x02013;0.281) in the following week. Thus, Hypothesis 3a is supported. However, unexpectedly, we also found a negative association between job crafting (T1) and performance (T2) (i.e., a large effect size; &#x003B2; = &#x02212;0.191). That means that teachers who reported job crafting above their expected score in Week 1, were likely to report performance below their expected score in Week 2. Accordingly, Hypothesis 3b was not supported.</p>
<p>Regarding the reverse effects of work engagement and performance (i.e., Hypothesis 4), at the within-person level, work engagement partially predicted job crafting levels the next week (mean &#x003B2; = 0.090, medium to large effect size; range: 0.013&#x02013;0.264), thus partially supporting Hypothesis 4a. However, performance did not predict job crafting levels (mean &#x003B2; = 0.037, small to medium effect size; range: &#x02212;0.046&#x02013;0.083) across weeks. Thus, Hypothesis 4b is not supported.</p>
<p>Regarding reciprocal relationships (i.e., Hypothesis 5, <xref ref-type="fig" rid="F3">Figure 3</xref>), although job crafting levels predicted work engagement and vice versa, these cross-lagged effects were time shifted (Weeks 3 and 4; Week 5), and no reciprocal relationship was found. In addition, we found no evidence of a reciprocal relationship between job crafting levels and performance across weeks. However, our results suggest a reciprocal relationship between work engagement and performance from one week to another. Interestingly, the cross-lagged effects varied greatly and were both positive and negative (work engagement on performance: mean &#x003B2; = &#x02212;0.110, medium to large effect size; range: &#x02212;0.355&#x02013;0.283; performance on work engagement: mean &#x003B2; = &#x02212;0.030, small effect size; range: &#x02212;0.392&#x02013;0.156). For example, teachers who reported work engagement above their expected score in Week 2 were likely to report performance below their expected score in Week 3. In sum, these results do not support Hypothesis 5.</p>
<sec>
<title>Sensitivity analyses</title>
<p>To check whether results would change considering the different job crafting strategies (i.e., task, cognitive, and relational crafting), we conducted three separate RI-CLPM. Overall, there was no reciprocal relationship between task, cognitive, or relational crafting levels and work engagement and performance. Only cognitive crafting levels and work engagement had cross-lagged effects, but these were also time shifted. The different effect sizes changed substantially across weeks. For task crafting levels, neither work engagement (mean &#x003B2; = 0.033, small to medium effect size; range: &#x02212;0.203&#x02013;0.160) nor performance (mean &#x003B2; = &#x02212;0.040, small to medium effect size; range: &#x02212;0.123&#x02013;0.026) predicted task crafting levels. Task crafting levels did not predict work engagement (mean &#x003B2; = 0.031, small to medium effect size; range: &#x02212;0.073&#x02013;0.178) or performance (mean &#x003B2; = &#x02212;0.019, small effect size; range: &#x02212;0.233&#x02013;0.152) in the following week. For cognitive crafting levels, only work engagement predicted cognitive crafting levels (mean &#x003B2; = 0.179, large effect size; range: &#x02212;0.094&#x02013;0.341) in the following week; performance did not (mean &#x003B2; = 0.012, small effect size; range: &#x02212;0.156&#x02013;0.223). On average, cognitive crafting levels predicted work engagement in the following week (mean &#x003B2; = 0.151, large effect size; range: &#x02212;0.215&#x02013;0.325) but not performance (mean &#x003B2; = 0.021, small effect size; range: &#x02212;0.248&#x02013;0.442). For relational crafting, neither work engagement (mean &#x003B2; = 0.043, small to medium effect size; range: &#x02212;0.179&#x02013;0.235) nor performance (mean &#x003B2; = 0.095, medium to large effect size; range: &#x02212;0.106&#x02013;0.242) predicted relational crafting levels. In contrast, relational crafting levels, on average, predicted work engagement (mean &#x003B2; = 0.152, large effect size; range: &#x02212;0.117&#x02013;0.410) the next week, but not performance (mean &#x003B2; = 0.041, small to medium effect size; range: &#x02212;0.072&#x02013;0.113).</p>
</sec>
</sec>
<sec sec-type="discussion" id="s5">
<title>Discussion</title>
<p>The present paper aimed to investigate whether job crafting levels, work engagement, and performance relate reciprocally at the within-person level on a weekly basis. Our results reveal that job crafting levels, work engagement, and performance are moderately to highly related within weeks. Second, across weeks, job crafting levels affect work engagement from one week to the next and vice versa, but these effects are not simultaneous. Instead, our evidence indicates time-shifted cross-lagged effects between job crafting and work engagement. Furthermore, job crafting levels were related to performance from one week to the next, but there was no reverse effect of performance on job crafting levels at the within-person level. Finally, work engagement and performance had a reciprocal relationship across weeks, with the magnitude and direction of the relationship varying substantially. These effects were not influenced by age, sex, tenure, or working hours.</p>
<sec>
<title>Between-unit relationships between job crafting, work engagement, and performance</title>
<p>Although the results at the within-person level were heterogeneous, at the between-unit level, we found support for positive relationships between job crafting, work engagement, and performance. The between-unit relationships indicate that in general, teachers who report higher levels of job crafting are more engaged and report higher levels of performance. By separating the between-unit from the within-person part, we can interpret these correlations independently of their fluctuations within the teachers over time. These findings are consistent with those of previous studies (see meta-analyses and reviews; Rudolph et al., <xref ref-type="bibr" rid="B62">2017</xref>; Lee and Lee, <xref ref-type="bibr" rid="B47">2018</xref>). Regardless of fluctuations within teachers across weeks, it seems that by adopting one&#x00027;s job according to their preferences and needs, teachers create a resourceful work environment (Dubbelt et al., <xref ref-type="bibr" rid="B22">2019</xref>) in which they experience a positive state of mind and can perform their job well. In the following, we discuss the within-person relationships between the study variables, some of which are heterogeneous.</p>
</sec>
<sec>
<title>Within-person relationships between job crafting, work engagement, and performance</title>
<p>Prior research has examined the within-person relationships between job crafting and work engagement or performance. However, this is the first study that considered (a) unique within-person effects by applying an RI-CLPM (<xref ref-type="fig" rid="F2">Figure 2</xref>) and (b) investigated the reciprocal relationships between study variables from one week to the next. First, previous research shows that job crafting and work engagement are related at the within-person level (e.g., Petrou et al., <xref ref-type="bibr" rid="B56">2017</xref>; Bakker and Oerlemans, <xref ref-type="bibr" rid="B7">2019</xref>), thus indicating that, for instance, weekly fluctuations in job crafting affect weekly work engagement. These results are important because they allow us to show that in weeks in which employees reported a high level of job crafting, they also reported a high level of work engagement. We can support these results in our study as there were moderate to high correlations between job crafting levels and work engagement within weeks. However, our within-person effects provide further information about cross-lagged effects, such as the effect of job crafting levels on work engagement in the following week. On average, job crafting levels in one week predicted work engagement in the following week. Inversely, the cross-lagged effects of work engagement in one week on job crafting levels in the next week were inconsistent and differed in magnitude. Similar weak reverse effects (particularly at the between-unit level) have also been found in recent research (Watson and Sinclair, <xref ref-type="bibr" rid="B90">2022</xref>; Zampetakis, <xref ref-type="bibr" rid="B96">2023</xref>). Watson and Sinclair (<xref ref-type="bibr" rid="B90">2022</xref>) argued that, for instance, job crafting seems to be more needs-driven and fulfills psychological needs (e.g., autonomy; Deci and Ryan, <xref ref-type="bibr" rid="B19">2000</xref>), such that employees improve their work engagement in this way. Maybe there is no more need that could be fulfilled with job crafting, which could explain the reverse effects.</p>
<p>Nevertheless, the potential for dual-pathways between job crafting and work engagement exists (Watson and Sinclair, <xref ref-type="bibr" rid="B90">2022</xref>), and their within-person relationship is dynamic and bidirectional. Although we did not find simultaneous cross-lagged effects between job crafting and work engagement (i.e., a reciprocal relationship) across weeks, both variables predicted each other. Thus, creating a resourceful work environment through job crafting increases employees&#x00027; level of work engagement the next week. This positive motivational state enables employees to widen their thoughts and ideas and see opportunities to enhance positive aspects at work (Vogt et al., <xref ref-type="bibr" rid="B88">2016</xref>) and, again, engage in job crafting in the subsequent week. This would fit the assumptions of the B&#x00026;B theory (Fredrickson, <xref ref-type="bibr" rid="B25">1998</xref>), such that positive emotions triggered through work engagement facilitate employees&#x00027; use of job crafting. However, we were unable to test this assumption. Furthermore, research has revealed that positive emotions are not clear predictors of job crafting (Rogala and Cieslak, <xref ref-type="bibr" rid="B59">2019</xref>). Instead, work engagement can be considered an excess resource (e.g., Hakanen et al., <xref ref-type="bibr" rid="B32">2018</xref>). Thus, our results are in line with COR theory, as employees who perceive resources are motivated to increase their resource pool (Hobfoll, <xref ref-type="bibr" rid="B36">1989</xref>). Further, our results extend COR theory by showing that not only resources themselves but also <italic>actions</italic> creating resources (i.e., job crafting) act in cycles with work engagement within employees. As job crafting represents resource investment behavior (i.e., an increase in resources requires investing resources; Hobfoll, <xref ref-type="bibr" rid="B36">1989</xref>), it creates resources in the form of work engagement (Hakanen et al., <xref ref-type="bibr" rid="B32">2018</xref>) among employees. This positive state, full of resources, enables employees to use resource investment behavior by adjusting their work. In summary, this study offers indications of the role of resource investment behavior (i.e., job crafting) in the resource gain cycle process.</p>
<p>Second, our results show that job crafting levels and performance are related within weeks. However, they did not reciprocally relate from one week to the next. On average, job crafting levels in one week positively predicted performance the next week, which is in line with our expectations. That is, job crafting in one week builds resources that enable teachers to perform their jobs well the next week. Surprisingly, we also found an exception to this: Job crafting levels in Week 1 were negatively related to performance one week later (Week 2). In other words, teachers who reported job crafting above their expected score in Week 1 reported performance below their expected score in Week 2. This exception can be explained as follows: Although engaging in job crafting means building a resourceful work environment, doing so requires resources and energy (Wang and Lau, <xref ref-type="bibr" rid="B89">2021</xref>). Consequently, teachers may consume resources on job crafting in one week and therefore have fewer resources available to provide support to their pupils &#x02013; our performance indicator &#x02013; in the following week. We may also observe a measurement effect. By asking teachers about job crafting in Week 1, we may have encouraged them to think more critically about their performance in Week 2. Given that we found only one negative association between job crafting and performance, care should be taken not to overinterpret this effect. Contrary to our assumption, performance did not predict job crafting levels in the following week. We again refer to the needs-perspective of job crafting by assuming that job crafting can satisfy human needs, which, in turn, enhances performance (Slemp and Vella-Brodrick, <xref ref-type="bibr" rid="B71">2014</xref>; de Bloom et al., <xref ref-type="bibr" rid="B17">2020</xref>). However, this satisfaction may reduce engagement in job crafting the following week. According to de Bloom et al. (<xref ref-type="bibr" rid="B17">2020</xref>), needs satisfaction through job crafting in one week provided optimal functioning in the next week, which was operationalized with high performance. As psychological needs were satisfied, employees could complete the &#x0201C;ongoing process&#x0201D; and did not engage in further crafting actions predicted by their performance. However, we did not test for psychological needs and their possible satisfaction, which should be addressed in job crafting-performance pathways in future research.</p>
<p>Third, work engagement and performance were moderately to highly correlated within weeks. In other words, when teachers were more engaged in one week, they reported a high level of performance in the same week. This is in line with previous research (Bakker and Bal, <xref ref-type="bibr" rid="B4">2010</xref>). In addition, at the between-unit level, the association between work engagement and performance was positive (<italic>r</italic> = 0.58, <italic>p</italic> &#x0003C; 0.001), indicating that engaged teachers generally perform better. Furthermore, across weeks, work engagement and performance are reciprocally related at the within-person level, with the effects varying greatly in magnitude and direction. Contrary to the findings at the between-unit level and within weeks, most of the cross-lagged effects (i.e., across weeks) were negative at the within-person level. That means that teachers who were more engaged than usual in a week reported a lower level of performance than expected in the next week, and vice versa. Despite the widely confirmed positive impact of work engagement on performance, there is also a potential &#x0201C;dark side&#x0201D; of work engagement (Sonnentag, <xref ref-type="bibr" rid="B73">2011</xref>), which could perhaps explain this relationship across weeks. We argue that engaged employees are willing to &#x0201C;go the extra mile&#x0201D; (Schaufeli and Salanova, <xref ref-type="bibr" rid="B67">2008</xref>, p. 152) by investing effort and resources. In general, employees&#x00027; performance over short periods (e.g., a week) benefits from resource allocation (Beal et al., <xref ref-type="bibr" rid="B9">2005</xref>) to tasks. In this study, resource allocation was measured using individual learning support. It is possible that a high level of work engagement may result in teachers consuming so many resources in one week that they allocate fewer resources to support their pupils (i.e., performance) in the next week. Indeed, Baethge et al. (<xref ref-type="bibr" rid="B2">2021</xref>) corroborated that work engagement over a workweek is a physiologically depleted resource. Furthermore, a longitudinal study on work engagement, job demands, and detachment revealed the finding that work engagement actually increased job demands 12 months later (Sonnentag et al., <xref ref-type="bibr" rid="B75">2010b</xref>). Conceivably, similar effects may occur within shorter periods (Reis et al., <xref ref-type="bibr" rid="B58">2016</xref>), for example, from one week to the next. This could lead to the finding that engaged teachers in one week also perceive an increase in job demands in the same week. Consequently, the concurrence of depleted resources and high job demands may affect teachers&#x00027; performance the following week.</p>
<p>When considering the reverse effect of performance on work engagement, the behavior of pupils could be a reason why performance has negative cross-lagged effects on work engagement the next week. Following the concept of reciprocity (Adams, <xref ref-type="bibr" rid="B1">1965</xref>), teachers who report a high level of performance (i.e., high individual learning support) are likely to expect a reward for the support they provide (e.g., positive results and feedback; Van Horn et al., <xref ref-type="bibr" rid="B84">2001</xref>). However, pupils may not always appreciate this support, and may not respond to teachers in the desired manner. This lack of reciprocity has been shown to be negatively associated with teachers&#x00027; work-related well-being (Van Horn et al., <xref ref-type="bibr" rid="B84">2001</xref>), and can be demotivating. On the other hand, supporting pupils (i.e., performance) is demanding and consumes resources, and teachers may have problems separating themselves from pupils&#x00027; concerns. Consequently, such teachers may experience high demands and lack of resources, thereby decreasing their level of work engagement (Demerouti et al., <xref ref-type="bibr" rid="B20">2001</xref>). To complicate things, our results also revealed positive cross-lagged effects between work engagement and performance from 1 week to the next, as hypothesized. It is highly likely that the boundary conditions investigated in this study lead to either positive or negative associations. Therefore, at the within-person level, solid conclusions cannot be drawn regarding the relationship between work engagement and performance across weeks. Thus, further investigations that consider the boundary conditions are required.</p>
</sec>
<sec>
<title>Strengths, limitations, and future research</title>
<p>To our knowledge, this is the first study to examine the reciprocal relationships among job crafting levels, work engagement, and performance over six weeks at the within-person level. To this end, we used the RI-CLPM (Hamaker et al., <xref ref-type="bibr" rid="B34">2015</xref>), which allows the decomposition of variance into stable between-unit associations and temporal within-person fluctuations. Thus, our results indicate pure within-person effects from one week to another. Despite these advantages, this study has some limitations.</p>
<p>First, when interpreting the effects of the RI-CLPM (Model 5), we did not report only significant effects, but also medium to large and large effect sizes (i.e., standardized cross-lagged estimates above.10; Orth et al., <xref ref-type="bibr" rid="B55">2022</xref>), which were not always statistically significant. Although reporting significant results based on <italic>p</italic>-values has been the dominant procedure in applied psychology, it has several disadvantages (Dunleavy et al., <xref ref-type="bibr" rid="B23">2006</xref>). For instance, the significance of the effect size depends on the sample size. Thus, a statistical test is more likely to be significant for a large sample (Sullivan and Feinn, <xref ref-type="bibr" rid="B77">2012</xref>; Funder and Ozer, <xref ref-type="bibr" rid="B27">2019</xref>). Our study had a satisfactory sample size (<italic>N</italic> = 175). However, it was too small to render medium to large cross-lagged effects statistically significant. Statistical significance is defined as the examination of whether the results occur by chance. By contrast, effect size reflects the magnitude of an effect (Sullivan and Feinn, <xref ref-type="bibr" rid="B77">2012</xref>). Therefore, we followed the recommendation of Funder and Ozer (<xref ref-type="bibr" rid="B27">2019</xref>) of reporting and interpreting effect sizes regardless of the significance of the effects.</p>
<p>Second, the reliability estimators of the job crafting scale were low in some cases compared with the reliabilities of the other constructs. However, the estimators were similar to the results of a German validation study of the JCQ (Schachler et al., <xref ref-type="bibr" rid="B64">2019</xref>). Furthermore, other studies have reported low reliability when job crafting is assessed at the within-person level (e.g., Tims et al., <xref ref-type="bibr" rid="B80">2014</xref>). The reasons for this are twofold: First, due to parsimony, each subdimension was only assessed with two items instead of five, such that the reliability may decrease. Second, job crafting actions assessed in the weekly diaries were possibly used less during the weeks, which may decrease inter-item correlations that affect reliability estimators (Tims et al., <xref ref-type="bibr" rid="B80">2014</xref>).</p>
<p>Third, the generalizability of our study&#x00027;s results is limited because the investigated sample consisted only of teachers. Although we found evidence for a cyclic relationship between job crafting levels and work engagement, and for a reciprocal relationship between work engagement and performance from one week to the next, we do not know the extent to which we can generalize these findings. Future studies should investigate the reciprocal relationships between the study variables among employees of other occupational groups. In addition, other time intervals (e.g., from one day to the next) can be considered to examine these relationships. Despite this limitation, we want to emphasize that our sample was well suited for examining reciprocal relationships on a weekly basis, as we were able to minimize possible confounding effects through teachers&#x00027; weekly teaching schedules. However, looking at the weekly mean scores of job crafting (below the mid-point of the scale), it seems that our sample was limited using job crafting in a week. Although teachers are associated with high levels of job control, they must consider curricula such that weekly adjustments to their work are impossible. Furthermore, they must be tailored to the needs and preferences of pupils. It is often confirmed that teachers experience a high level of job demands, and are therefore exhausted (e.g., Dicke et al., <xref ref-type="bibr" rid="B21">2018</xref>). Both can reduce the use of job crafting (e.g., Solberg and Wong, <xref ref-type="bibr" rid="B72">2016</xref>) or influence the effects of work engagement and performance. All of these points could be conditions that weakened the effects. As we did not assess them, future studies should investigate whether teachers are able to craft their job within a week and, if not, why this is the case and whether there are boundary conditions that weaken the effects of job crafting.</p>
<p>Fourth, to assess performance, we used the concept of individual learning support as a specific form of teachers performance (Baumert et al., <xref ref-type="bibr" rid="B8">2009</xref>). Using this scale, performance was assessed based on teachers&#x00027; support of their pupils. This is a highly relevant measure of instructional quality among teachers. However, their work includes other components of performance, such as the quality of teaching or consultations with parents. Given this specific measure of performance, it is difficult to compare the findings with those of other studies that have investigated the relationships between job crafting, work engagement, and performance. In addition, we acknowledge that there was a misfit between the study variables regarding their level of specificity. While job crafting and work engagement were measured at a more general level, performance referred to a specific task of teachers and a specific class. With their matching hypothesis, de Jonge and Dormann&#x00027;s (<xref ref-type="bibr" rid="B18">2006</xref>) argue that associations are stronger and more consistent when variables refer to the same level of specificity. Therefore, we recommend that future studies assess all the three constructs at a general level. For example, Bakker and Bal (<xref ref-type="bibr" rid="B4">2010</xref>) found a positive effect of weekly work engagement on weekly performance, assessed as overall in-role and extra-role performance, among teachers, which we could not replicate. Furthermore, there is evidence that teachers&#x00027; and pupils&#x00027; perspectives differ regarding their performance indicators (Holzberger et al., <xref ref-type="bibr" rid="B39">2013</xref>). Thus, including pupil-rated instructional quality could provide a more objective view of teacher performance.</p>
</sec>
<sec>
<title>Practical implications</title>
<p>As our findings indicate predominantly positive effects of job crafting and work engagement, interventions for teachers should aim to stimulate both behaviors. Indeed, there is much evidence of the effectiveness of both job crafting and work engagement interventions. A meta-analysis emphasized that job crafting interventions are successful in promoting job crafting and, in addition, in fostering work engagement (Oprea et al., <xref ref-type="bibr" rid="B54">2019</xref>). As job crafting intervention studies have already been conducted with teachers and have shown positive effects (e.g., van Wingerden et al., <xref ref-type="bibr" rid="B85">2017</xref>), schools should offer such interventions to their teachers. Next, work engagement interventions aim to promote various drivers of work engagement and therefore differ substantially in their approaches. These include building personal and/or job resources, leadership training, and health promotion (Knight et al., <xref ref-type="bibr" rid="B41">2017</xref>). Meta-analytical evidence has revealed a small but reliable effect of work engagement interventions in enhancing work engagement (e.g., Knight et al., <xref ref-type="bibr" rid="B41">2017</xref>). In addition, previous findings have indicated that short interventions using soft skill trainings and positive psychology methods, including refreshing sessions after the intervention (V&#x000EE;rga et al., <xref ref-type="bibr" rid="B86">2021</xref>), as well as support by the leader, are essential for the success of these interventions (Knight et al., <xref ref-type="bibr" rid="B42">2019</xref>). For example, principals should support teachers&#x00027; participation in these interventions. Overall, teachers should be encouraged to adjust their job proactively. Although job crafting is a more self-initiated behavior, empirical evidence emphasizes its drivers of job crafting (see for a review; Zhang and Parker, <xref ref-type="bibr" rid="B97">2019</xref>). This should also be applied to teachers&#x00027; contexts.</p>
</sec>
<sec>
<title>Conclusion</title>
<p>To conclude, the present study confirms the positive between-unit relationship between job crafting, work engagement, and performance among teachers. The relationships at the within-person level were more heterogeneous than expected. Although within weeks job crafting levels, work engagement, and performance were related to each other, the results across weeks showed inconsistent patterns. Despite the reciprocal relationship between work engagement and performance from one week to the next, the magnitude and direction of the relationship varied substantially. More consistently, our results indicate that teachers&#x00027; weekly job crafting plays an important role as it predicts both work engagement and performance in the following week. We also demonstrate that job crafting levels in one week enhance work engagement in the following week, which further increases job crafting levels in the subsequent week, indicating that a cyclic relationship between both variables is triggered by job crafting among teachers.</p>
</sec>
</sec>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec sec-type="ethics-statement" id="s7">
<title>Ethics statement</title>
<p>The studies involving human participants were reviewed and approved by Education Authorities of the Federal States in Germany. The participants provided their written informed consent to participate in this study.</p>
</sec>
<sec sec-type="author-contributions" id="s8">
<title>Author contributions</title>
<p>EL: conceptualization, methodology, formal analysis, investigations, writing&#x02014;original draft, writing&#x02014;review and editing, data curation, visualization, and software. MM: data curation, investigations, and writing&#x02014;review and editing. DR: methodology, resources, and writing&#x02014;review and editing. SN: conceptualization, resources, funding acquisition, and writing&#x02014;review and editing. AH: conceptualization, resources, writing&#x02014;review and editing, supervision, and funding acquisition. All authors contributed to the article and approved the submitted version.</p>
</sec>
</body>
<back>
<sec sec-type="funding-information" id="s9">
<title>Funding</title>
<p>This study was developed in a project which was supported by the German Research Foundation (DFG), grant number: 385984253.</p>
</sec>
<sec sec-type="COI-statement" id="conf1">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s10">
<title>Publisher&#x00027;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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