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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Commun.</journal-id>
<journal-title-group>
<journal-title>Frontiers in Communication</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Commun.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">2297-900X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fcomm.2026.1780347</article-id>
<article-version article-version-type="Version of Record" vocab="NISO-RP-8-2008"/>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Original Research</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Does social media engagement really build brand loyalty? Evidence of short-term null effects in emerging markets</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Tian</surname>
<given-names>Shasha</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/3337177"/>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="conceptualization" vocab-term-identifier="https://credit.niso.org/contributor-roles/conceptualization/">Conceptualization</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; original draft" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-original-draft/">Writing &#x2013; original draft</role>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Liu</surname>
<given-names>Jingyang</given-names>
</name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &#x0026; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing &#x2013; review &#x0026; editing</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="methodology" vocab-term-identifier="https://credit.niso.org/contributor-roles/methodology/">Methodology</role>
</contrib>
</contrib-group>
<aff id="aff1"><label>1</label><institution>Department of Media and Communication, Hanyang University</institution>, <city>Seoul</city>, <country country="kr">Republic of Korea</country></aff>
<aff id="aff2"><label>2</label><institution>Department of Media and Communication, Shanxi Normal University</institution>, <city>Taiyuan</city>, <country country="cn">China</country></aff>
<author-notes>
<corresp id="c001"><label>&#x002A;</label>Correspondence: Shasha Tian, <email xlink:href="mailto:FromEngagement@163.com">jiamu2022@hanyang.ac.kr</email></corresp>
</author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2026-02-25">
<day>25</day>
<month>02</month>
<year>2026</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2026</year>
</pub-date>
<volume>11</volume>
<elocation-id>1780347</elocation-id>
<history>
<date date-type="received">
<day>07</day>
<month>01</month>
<year>2026</year>
</date>
<date date-type="rev-recd">
<day>04</day>
<month>02</month>
<year>2026</year>
</date>
<date date-type="accepted">
<day>09</day>
<month>02</month>
<year>2026</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2026 Tian and Liu.</copyright-statement>
<copyright-year>2026</copyright-year>
<copyright-holder>Tian and Liu</copyright-holder>
<license>
<ali:license_ref start_date="2026-02-25">https://creativecommons.org/licenses/by/4.0/</ali:license_ref>
<license-p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. 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.</license-p>
</license>
</permissions>
<abstract>
<sec>
<title>Introduction</title>
<p>This study investigates the relationship between social media engagement and brand loyalty in emerging markets, with particular attention to the potential mediating role of brand trust. Although prior research generally assumes a positive link between engagement and loyalty, empirical evidence based on high-frequency panel data remains limited, especially in emerging market contexts.</p>
</sec>
<sec>
<title>Methods</title>
<p>Grounded in the Stimulus&#x2013;Organism&#x2013;Response framework and Social Exchange Theory, we develop and empirically test a conceptual model using panel data from five global brands operating in five emerging market countries over a 24-week period. The dataset comprises 575 brand&#x2013;country&#x2013;week observations. Fixed effects regression models with clustered standard errors are employed to account for unobserved heterogeneity and within-unit dependence.</p>
</sec>
<sec>
<title>Results</title>
<p>The empirical results reveal no statistically significant relationships among social media engagement, brand trust, and brand loyalty across all hypothesized paths. These findings indicate that short-term weekly fluctuations in social media engagement do not generate immediate effects on brand trust or loyalty in emerging market settings.</p>
</sec>
<sec>
<title>Discussion</title>
<p>Rather than reinforcing conventional assumptions regarding engagement effectiveness, this study highlights a potential disconnect between commonly used engagement metrics and relationship-building outcomes when examined through high-frequency data. The null findings contribute to the literature by questioning linear and short-term functional form assumptions in engagement&#x2013;loyalty relationships. Methodologically, the study demonstrates the value of rigorous panel data approaches in addressing unobserved heterogeneity in social media marketing research.</p>
</sec>
</abstract>
<kwd-group>
<kwd>brand loyalty</kwd>
<kwd>brand trust</kwd>
<kwd>emerging markets</kwd>
<kwd>non-significant effects</kwd>
<kwd>panel data analysis</kwd>
<kwd>social media engagement</kwd>
<kwd>S-O-R framework</kwd>
</kwd-group>
<funding-group>
<funding-statement>The author(s) declared that financial support was not received for this work and/or its publication.</funding-statement>
</funding-group>
<counts>
<fig-count count="4"/>
<table-count count="8"/>
<equation-count count="1"/>
<ref-count count="29"/>
<page-count count="13"/>
<word-count count="8338"/>
</counts>
<custom-meta-group>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Advertising and Marketing Communication</meta-value>
</custom-meta>
</custom-meta-group>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="sec1">
<label>1</label>
<title>Introduction</title>
<p>The growth of social media outlets has essentially changed the manner in which brands engage with consumers in the various markets across the world. Having more than two billion monthly active users, Instagram has become an essential platform to communicate with the brand and engage with consumers (<xref ref-type="bibr" rid="ref7">Deng and Jiang, 2023</xref>). This change is especially acute in emerging markets, where the rapid digitalization and increased consumer buying capacity have introduced the great opportunities in the brand development (<xref ref-type="bibr" rid="ref29">Zeqiri et al., 2024</xref>). Nonetheless, even with all the studies done on the effectiveness of social media marketing, there are still significant gaps in the information on how exactly the social media interaction may be converted into the consumer loyalty outcomes, particularly in short-term timeframes.</p>
<p>The traditional premise of the marketing practice is that the higher the level of social media interaction, the higher the brand loyalty. This intuitive account although easy to grasp., may oversimplify the complicated psychological interactions that exist between consumers and brands (<xref ref-type="bibr" rid="ref14">Kim and Ko, 2012</xref>). A number of researchers have urged closer studies of the effects of engagement, especially on the possibilities of nonlinear trends that could potentially describe the specifications of relationship between marketing inputs and consumer outcomes (<xref ref-type="bibr" rid="ref22">Sahin et al., 2011</xref>). Whether diminishing returns, saturation effects, or other functional forms characterize the engagement-loyalty relationship remains an empirical question that warrants careful investigation.</p>
<p>Moreover, the underlying processes of the effect of social media engagement on brand loyalty deserve further examination. The brand trust has been recognized to be a significant intermediary construct in consumer-brand relations that may serve as a psychological connection between marketing stimuli and the behavioral responses (<xref ref-type="bibr" rid="ref4">Chaudhuri and Holbrook, 2001</xref>). Trust is the belief that consumers use in the reliability, integrity, and benevolence of a brand, which has been demonstrated to be a strong predictor of loyalty behavior in a wide range of settings (<xref ref-type="bibr" rid="ref26">Villagra et al., 2021</xref>). Understanding whether trust mediates the engagement-loyalty relationship is critical in order to formulate a broad theoretical model and practical marketing strategies.</p>
<p>The new market environment has its own distinctive features that may shape the impact of the social media involvement on the brand performance. The characteristics of these markets are the rapidly growing middle classes, the growing use of smartphones, and the shifting sophistication in consumers that opens opportunities to brand building and provides challenges at the same time (<xref ref-type="bibr" rid="ref23">Sheth, 2011</xref>). Emerging markets consumers might have varying tendencies of social media use, formation of trust, and brand loyalty to those in the developed economies. Of particular importance is the question of whether engagement behaviors in these markets&#x2014;which may be more entertainment-oriented or symbolic in nature&#x2014;translate into genuine relationship capital in the same manner observed in developed economies.</p>
<p>This study addresses these research gaps by examining the potential effect of the engagement with social media on brand loyalty in new markets, and explores whether brand trust serves as a mediating mechanism. To be more precise, we are aiming at achieving the following research objectives: first, we examine whether there exists a relationship between social media engagement and brand loyalty and what functional form it may take; secondly, we investigate the potential intermediary role of brand trust between social media engagement and brand loyalty; and finally, we provide empirical evidence in an emerging market context on how such relationships may differ from patterns observed in developed economies.</p>
<sec id="sec2">
<label>1.1</label>
<title>Null findings as contribution</title>
<p>An important aspect of this research is its contribution through non-significant findings. While much of the extant literature assumes and reports positive engagement-loyalty relationships, the absence of such effects in our rigorous panel data analysis carries substantial theoretical value. Our study is positioned not to validate the mainstream assumption that social media engagement drives brand loyalty, but rather to investigate why engagement may fail to convert into loyalty in emerging market contexts within short-term observation windows. The pattern of null results across all hypotheses challenges the prevailing narrative in digital marketing research and invites a more nuanced understanding of the boundary conditions under which engagement-loyalty relationships operate. By documenting what does not work in a specific empirical context, this research contributes to theory building by highlighting the gap between engagement metrics and relationship outcomes, and by suggesting that the translation of digital interactions into consumer loyalty may require longer time horizons or different mechanisms than commonly assumed.</p>
<p>The rest of this paper is structured in the following way. Section 2 is a theoretical framework and elaborates the research hypotheses. Section 3 is the description of the research methodology, i.e., data collection, the variable operation and the analytical approach. Section 4 includes the empirical findings. The findings and their implications are discussed in section 5. Section 6 ends with findings restriction and future studies.</p>
</sec>
</sec>
<sec id="sec3">
<label>2</label>
<title>Theoretical framework and hypotheses development</title>
<sec id="sec4">
<label>2.1</label>
<title>The stimulus-organism-response framework</title>
<p>This study uses the Stimulus-Organism-Response (S-O-R) model to identify the working mechanism under which the engagement with social media may affect brand loyalty. The S-O-R framework was originally suggested by <xref ref-type="bibr" rid="ref18">Mehrabian and Russell (1974)</xref>, but since that time, there are numerous studies that used the S-O-R model to explore the connection between consumer behavior and environmental stimuli (<xref ref-type="bibr" rid="ref15">Kim et al., 2020</xref>). It assumes that the stimuli in the external environment cause cognitive and affective processing in the organism, and it then results in approach or avoidance behaviors.</p>
<p>The brand-consumer interactions on social media platforms such as Instagram form a part of environmental stimuli that may shape the consumers in terms of their internal appraisals of the brand in the situation of the social media marketing. Such stimuli will be content exposure, likes, comments, shares, and other interactive elements involved in social media communication (<xref ref-type="bibr" rid="ref19">Ming et al., 2021</xref>). The organism component relates to the cognitive and affective reaction of the consumers to the stimuli such as perceptions about brand trust, satisfaction and emotional attachment. The response component gives behavioral consequences like brand loyalty, re purchase intentions and recommendation behavior.</p>
<p>The S-O-R framework offers a valuable theoretical perspective on social media marketing impacts since it clearly takes into consideration the mediation of the effects of internal psychological states. The framework does not presuppose direct influence of marketing stimuli on consumer behaviors but recognizes that they occur via cognitive and emotional processing (<xref ref-type="bibr" rid="ref17">Liu et al., 2023</xref>). This view is in line with the current view of consumer decision-making as complex and entailing rational and affective involvement in decision-making. The framework has seen effective implementation in different online marketing settings such as online shopping behavior, the adoption of mobile commerce and the use of virtual reality tourism online.</p>
<p>However, it is important to note that the S-O-R framework was originally developed in the context of physical environmental stimuli and immediate behavioral responses. Its application to high-frequency social media data, where stimuli occur continuously and responses may develop over extended time periods, represents an extension that warrants empirical scrutiny. The framework&#x2019;s assumption of relatively immediate stimulus&#x2013;response linkages may not fully capture the slow-moving nature of trust and loyalty formation in digital brand relationships.</p>
</sec>
<sec id="sec5">
<label>2.2</label>
<title>Social exchange theory and brand-consumer relationships</title>
<p>Complementary theoretical background to the relationship-building process between the brands and the consumers is provided by the Social Exchange Theory (SET). SET was developed by <xref ref-type="bibr" rid="ref11">Homans (1958)</xref> and <xref ref-type="bibr" rid="ref3">Blau (1964)</xref> as an explanation of social behavior as a sequence of interdependent transactions with parties aiming to increase the benefits and reduce cost. The theory brings the concept of reciprocity as a central theme when it comes to the formation and continuation of relationships (<xref ref-type="bibr" rid="ref5">Cropanzano and Mitchell, 2005</xref>).</p>
<p>Applied to brand-consumer relationships, SET suggests that when social media engagement creates value on the brands, consumers may develop a sense of obligation and reciprocate it by displaying trust and loyalty behaviors (<xref ref-type="bibr" rid="ref25">Teichmann, 2021</xref>). This exchange process could potentially be facilitated through social media whereby brands and consumers can communicate directly, deliver content personally, and provide feedback through the use of social media. As a result of the consumer being made to believe that brands are always willing to provide value by way of engaging content, timely responses, and meaningful interactions, the consumers may end up trusting the reliability and benevolence of the brand (<xref ref-type="bibr" rid="ref1">Aggarwal, 2004</xref>).</p>
<p>The social media interaction mechanism behind the SET provides a theoretical basis for understanding how brand loyalty might be increased through the use of social media. Brands that provide valuable content and interactions to consumers may create a sense of psychological indebtedness that could drive reciprocal actions like further engagement, a positive-word of-mouth, and brand preference (<xref ref-type="bibr" rid="ref16">Kumar and Kumar, 2020</xref>). Nevertheless, SET also implies that this reciprocity has its limits, too much or too invasive interaction can be seen as a transgression of exchange rules, which might reduce, instead of enriching, the quality of relationships. This theoretical consideration provides a basis for investigating potential nonlinear patterns in the engagement-loyalty relationship, though the specific functional form remains an empirical question.</p>
</sec>
<sec id="sec6">
<label>2.3</label>
<title>Hypothesis development</title>
<p>Based on the theoretical discussions presented in the section above, we formulate exploratory hypotheses on the potential relationship between social media engagement and brand trust and brand loyalty. These hypotheses are based on synthesis of the principles of S-O-R framework, the insights of the Social Exchange Theory, and the findings of the previous studies in the area of digital marketing and consumer behavior. Given the limited prior research in emerging market contexts and the potential for boundary conditions to operate differently across settings, we approach these hypotheses with appropriate caution regarding their expected support.</p>
<sec id="sec7">
<label>2.3.1</label>
<title>Potential direct effect of social media engagement on brand loyalty</title>
<p>The messages involved in the interaction between the brand and the consumer on social media platforms are the elements of the level of engagement and quality of interaction. Previous studies have generally reported positive correlations between the social media marketing efforts of a brand and the brand loyalty results (<xref ref-type="bibr" rid="ref9">Ebrahim, 2020</xref>; <xref ref-type="bibr" rid="ref13">Ibrahim and Aljarah, 2023</xref>). It has been suggested that brands could initiate relationships with consumers via social media, this would open chances of value co-creation, emotional attachment, and relationship development, which may enhance consumer commitment (<xref ref-type="bibr" rid="ref20">Munnukka et al., 2015</xref>).</p>
<p>The role of social media participation in emerging markets, in particular, may be especially relevant because of a somewhat lesser brand penetration, a greater willingness of the target customer to digital marketing, and the originality of brand engagement via social media (<xref ref-type="bibr" rid="ref8">Dwivedi et al., 2021</xref>). In such markets, consumers may put more emphasis on the presence of social media as an indicator of brand authenticity and consumer orientation. New avenues in the interaction of the brand and consumer have been formed by the digital infrastructure development in emerging markets and could potentially be effective due to little past experience with refined marketing communications. Therefore, we hypothesize:</p>
<disp-quote>
<p><italic>H1</italic>: Social media engagement is expected to relate to brand loyalty in emerging markets.</p>
</disp-quote>
</sec>
<sec id="sec8">
<label>2.3.2</label>
<title>Potential nonlinear effect of social media engagement</title>
<p>Although a direct positive impact of engagement on loyalty has been documented in prior research, the functional form of this relationship is worth empirical investigation. According to the marketing theory and practice, the returns of the marketing investments usually respond in a downward marginal fashion in higher intensity of marketing returns (<xref ref-type="bibr" rid="ref21">Naik and Raman, 2003</xref>). This trend is a psychological saturation behavior, which suggests that the higher the level of exposure to marketing stimuli, the further the marginal impact on consumer attitudes and behaviors.</p>
<p>This reasoning could be applied to social media interaction since, at the beginning of the activity, significant increases in the levels of interaction may have high amounts of benefits in the form of loyalty, but at the point of engagement reaching the levels of saturation of the interaction, the benefits might decrease. When the level of engagement is very high, consumers could feel overwhelmed with information, feel that the brand has been over commercialized, or become skeptical about the authenticity of the brand (<xref ref-type="bibr" rid="ref27">Voorveld et al., 2018</xref>). Such patterns could manifest as curvilinear relationships, though the specific functional form&#x2014;whether reflecting diminishing returns, saturation effects, or other patterns&#x2014;remains to be determined empirically.</p>
<p>This potential curvilinear pattern is consistent with theories of optimal stimulation, which are that consumers desire moderate degrees of environmental complexity and consumer stimulation (<xref ref-type="bibr" rid="ref24">Steenkamp and Baumgartner, 1992</xref>). Too little engagement may not attract attention and establish relationships, whereas too much engagement could drown or frustrate consumers. The importance of wear-out effects documented in advertising research provides some basis for investigating whether returns to engagement diminish at higher levels. Therefore, we hypothesize:</p>
<disp-quote>
<p><italic>H2</italic>: The relationship between social media engagement and brand loyalty may exhibit a curvilinear pattern.</p>
</disp-quote>
</sec>
<sec id="sec9">
<label>2.3.3</label>
<title>Potential effects involving brand trust</title>
<p>Brand trust is one of the critical psychological constructs in brand relationships. Trust is defined as consumer trust in reliability of the brand, sincerity and promise keeping as a basis of long-term relationship commitment (<xref ref-type="bibr" rid="ref6">Delgado-Ballester and Munuera-Alem&#x00E1;n, 2005</xref>). Reliability is gained with the help of constant positive experience, which evidences brand competence and goodwill.</p>
<p>The engagement on social media may help develop the trust since it offers several touchpoints to show the reliability and authenticity of the brand. The confidence of brand integrity could be developed when brands provide valuable content regularly, address the questions of the consumers and communicate with them openly (<xref ref-type="bibr" rid="ref10">Habibi et al., 2014</xref>). Moreover, social media interactions are more public and thus allow the consumers to view brand behavior toward other consumers, which may serve as another source of evidence when it comes to trust formation. Interactive and dialogic attributes of social media communication provide avenues for potentially establishing responsiveness and customer orientation, which could be indicative of trustworthiness by the brands that brands exhibit.</p>
<disp-quote>
<p><italic>H3a</italic>: Social media engagement may influence brand trust.</p>
</disp-quote>
<p>Marketing literature has widely discussed the association between brand trust and brand loyalty. Trust minimizes the perceived risk in purchasing behavior, increases brand experience satisfaction, and emotional attachment (<xref ref-type="bibr" rid="ref4">Chaudhuri and Holbrook, 2001</xref>). Customers who have confidence in a brand tend to be loyal even when they are faced with the competition or failure to receive the services sometimes. Trust may serve as a psychological commitment mechanism which cushions relationships against competitive forces and adverse experiences.</p>
<disp-quote>
<p><italic>H3b</italic>: Brand trust is expected to relate to brand loyalty.</p>
</disp-quote>
</sec>
<sec id="sec10">
<label>2.3.4</label>
<title>Potential mediating role of brand trust</title>
<p>Based on the hypothesized relationships between the engagement and trust (H3a), as well as trust and loyalty (H3b), we explore whether trust serves as an intervening variable in the engagement-loyalty relationship. According to this model of mediation, the interaction of social media may improve loyalty through the development of consumer trust.</p>
<p>The mediation approach aligns with the S-O-R model and trust could be conceptualized as an organism level cognitive reaction that mediates the impacts of engagement stimulus on loyalty responses. It also aligns with SET as the trust may be formed by the positive experience of interaction provided by the social media and, in turn, by stimulating loyalty behavior. The mediating effect of trust has been examined in other marketing contexts and may represent a mechanism through which marketing activities translate into behavioral outcomes. Therefore, we hypothesize:</p>
<disp-quote>
<p><italic>H4</italic>: Brand trust may mediate the relationship between social media engagement and brand loyalty.</p>
</disp-quote>
<p>To enhance theoretical clarity and structural transparency, the conceptual relationships proposed in this study are visually summarized in <xref ref-type="fig" rid="fig1">Figure 1</xref>.</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>Conceptual framework of the study. Solid lines represent hypothesized direct effects; dashed lines represents curvilinear relationship.</p>
</caption>
<graphic xlink:href="fcomm-11-1780347-g001.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Diagram illustrating relationships between social media engagement labeled as stimulus, brand trust as organism, and brand loyalty as response. Solid arrows show hypothesized direct effects; a dashed arrow indicates a curvilinear relationship from social media engagement to brand loyalty.</alt-text>
</graphic>
</fig>
<p>Based on the theoretical arguments and hypotheses developed above, <xref ref-type="fig" rid="fig1">Figure 1</xref> summarizes the conceptual framework of this study. The model illustrates the hypothesized relationships among social media engagement, brand trust, and brand loyalty, including both direct and indirect pathways as well as the potential curvilinear effect of engagement.</p>
</sec>
</sec>
<sec id="sec11">
<label>2.4</label>
<title>Short-term versus long-term effects: a theoretical distinction</title>
<p>An important theoretical consideration that informs our empirical approach is the distinction between short-term and long-term effects of social media engagement. The theoretical frameworks reviewed above&#x2014;S-O-R and Social Exchange Theory&#x2014;do not explicitly specify the time horizon over which engagement effects should manifest. This ambiguity has significant implications for empirical testing.</p>
<p>Trust and loyalty are widely recognized as slow-moving psychological constructs that develop through accumulated positive experiences over extended time periods (<xref ref-type="bibr" rid="ref6">Delgado-Ballester and Munuera-Alem&#x00E1;n, 2005</xref>). The formation of genuine brand relationships typically requires consistent, repeated interactions that gradually build confidence and emotional attachment. In contrast, social media engagement metrics fluctuate on a weekly or even daily basis, reflecting short-term variations in content posting, platform algorithms, and consumer attention.</p>
<p>This temporal mismatch raises the possibility that short-term fluctuations in engagement may not produce immediate corresponding changes in trust and loyalty. Weekly variations in engagement may constitute &#x201C;noise&#x201D; relative to the underlying relationship-building processes that unfold over months or years. Consumers may not update their trust and loyalty dispositions in response to each week&#x2019;s engagement levels; rather, these psychological states may respond to cumulative engagement patterns over longer horizons.</p>
<p>Furthermore, the nature of social media engagement in emerging markets may differ qualitatively from that in developed markets. Engagement in these contexts may be more entertainment-oriented, driven by content virality or novelty rather than genuine brand relationship building (<xref ref-type="bibr" rid="ref29">Zeqiri et al., 2024</xref>). Such &#x201C;symbolic&#x201D; engagement may generate high metrics without translating into the reciprocal relationship dynamics posited by Social Exchange Theory.</p>
<p>These considerations suggest that our weekly panel data analysis may be better positioned to detect short-term engagement effects (if they exist) than to capture the long-term relationship-building processes emphasized in the theoretical literature. The absence of short-term effects would not necessarily imply that engagement is ineffective, but rather that its effects may operate over longer time horizons than our observation window permits.</p>
</sec>
</sec>
<sec id="sec12">
<label>3</label>
<title>Research methodology</title>
<sec id="sec13">
<label>3.1</label>
<title>Data source and research design</title>
<p>The data used in this study were collected from publicly available Instagram brand accounts and user-generated comment content across multiple countries. This study adopts a longitudinal panel research design to examine the short-term relationships among social media engagement, brand trust, and brand loyalty. Panel data combine cross-sectional and time-series information, allowing researchers to control for unobserved heterogeneity across units and to model dynamic relationships using lagged specifications (<xref ref-type="bibr" rid="ref12">Hsiao, 2014</xref>). Compared with purely cross-sectional designs, panel methods provide greater statistical efficiency and stronger causal inference under appropriate assumptions.</p>
<p>The panel structure consists of five global brands observed across five emerging market countries over a 24-week period, yielding a theoretical maximum of 600 brand&#x2013;country&#x2013;week observations. The observation window spans from January 1, 2024 to June 16, 2024, which enables the analysis of high-frequency weekly variation in engagement and consumer response indicators while maintaining relevance to current platform dynamics. After incorporating one-period lags in the explanatory variables to mitigate simultaneity concerns, the final analytical sample includes 575 observations. This sample size provides adequate statistical power to detect moderate effect sizes and supports the use of fixed-effects panel estimation.</p>
</sec>
<sec id="sec14">
<label>3.2</label>
<title>Sample description</title>
<p>The brand sample includes five internationally recognized companies from diverse industries: Nike (sportswear), Samsung (electronics), Coca-Cola (beverages), L&#x2019;Or&#x00E9;al (cosmetics), and Toyota (automotive). These brands were selected based on several criteria: inclusion in the Interbrand Best Global Brands ranking, active and consistent presence on Instagram across sampled countries, representation of heterogeneous product categories, and variation in brand age and competitive positioning. This diversity enhances the external validity of the findings and reduces the likelihood that results are driven by industry-specific characteristics.</p>
<p>The country sample consists of five major emerging economies: India, Brazil, Indonesia, Mexico, and South Africa. These countries represent different geographic regions and exhibit substantial variation in economic development, internet penetration, and social media adoption. This cross-national heterogeneity allows the analysis to capture contextual variation while maintaining a focused emphasis on emerging market environments.</p>
</sec>
<sec id="sec15">
<label>3.3</label>
<title>Variable operationalization</title>
<p>This study operationalizes three core constructs: social media engagement (independent variable), brand trust (mediator), and brand loyalty (dependent variable). All measures were constructed using objective platform data and text-based indicators derived from user-generated content.</p>
<sec id="sec16">
<label>3.3.1</label>
<title>Independent variable: social media engagement</title>
<p>Social media engagement is measured as the intensity of brand&#x2013;consumer interactions on Instagram. Weekly engagement counts&#x2014;including likes, comments, and shares&#x2014;were collected from official brand accounts and normalized by follower size to ensure comparability across brands and countries. The engagement variable is constructed as:<disp-formula id="E1">
<mml:math id="M1">
<mml:mspace width="0.25em"/>
<mml:mtext>Engagement</mml:mtext>
<mml:mo>=</mml:mo>
<mml:mo>ln</mml:mo>
<mml:mo stretchy="true">(</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>+</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mspace width="0.25em"/>
<mml:mtext>Likes</mml:mtext>
<mml:mo>+</mml:mo>
<mml:mtext>Comments</mml:mtext>
<mml:mo>+</mml:mo>
<mml:mtext>Shares</mml:mtext>
<mml:mspace width="0.25em"/>
</mml:mrow>
<mml:mrow>
<mml:mspace width="0.25em"/>
<mml:mtext>Followers</mml:mtext>
<mml:mspace width="0.25em"/>
</mml:mrow>
</mml:mfrac>
<mml:mo stretchy="true">)</mml:mo>
</mml:math>
</disp-formula></p>
<p>This formulation offers several advantages. Normalizing by follower count controls for audience size differences across brands. The logarithmic transformation reduces positive skewness and stabilizes variance, while the constant term ensures the metric remains defined when engagement is zero. To test potential nonlinear effects (H2), a quadratic term (Engagement<sup>2</sup>) was constructed by squaring the engagement variable.</p>
</sec>
<sec id="sec17">
<label>3.3.2</label>
<title>Mediator variable: brand trust</title>
<p>Brand trust is operationalized using consumer-generated textual expressions related to reliability, sincerity, and promise fulfillment. Comment-level text data were processed using a natural language processing (NLP) sentiment classification pipeline. The algorithm identifies trust-related language patterns, including expressions of reliability (e.g., &#x201C;reliable,&#x201D; &#x201C;dependable&#x201D;), sincerity (e.g., &#x201C;honest,&#x201D; &#x201C;authentic&#x201D;), confidence (e.g., &#x201C;trust,&#x201D; &#x201C;believe in&#x201D;), and promise fulfillment (e.g., &#x201C;as promised,&#x201D; &#x201C;never disappoints&#x201D;).</p>
<p>Each comment was assigned a probabilistic trust score ranging from 0 to 1. Weekly brand&#x2013;country trust scores were computed as the average trust probability across all comments within the observation period. This approach captures aggregate trust sentiment expressed by consumers while minimizing individual-level noise.</p>
</sec>
<sec id="sec18">
<label>3.3.3</label>
<title>Dependent variable: brand loyalty</title>
<p>Brand loyalty is measured using textual indicators of behavioral commitment extracted from user comments. The NLP classification identifies expressions reflecting repurchase intention (e.g., &#x201C;will buy again&#x201D;), exclusive preference (e.g., &#x201C;only brand I use&#x201D;), and recommendation behavior (e.g., &#x201C;best brand,&#x201D; &#x201C;recommend to others&#x201D;).</p>
<p>Similar to the trust measure, comment-level loyalty probabilities were aggregated to the brand&#x2013;country&#x2013;week level by computing the average loyalty score for each observation period. This operationalization captures observable loyalty-related language in naturally occurring consumer interactions.</p>
</sec>
<sec id="sec19">
<label>3.3.4</label>
<title>Control variables</title>
<p>Several control variables were included to account for potential confounding factors. Content-level controls include weekly post count, average caption length, video ratio, hashtag count, and mention count. Brand-level controls include brand age and global brand ranking. Country-level controls include GDP per capita, internet penetration rate, and social media penetration rate. These controls help isolate the focal relationships by accounting for platform activity patterns, brand characteristics, and macro-level digital infrastructure conditions.</p>
</sec>
</sec>
<sec id="sec20">
<label>3.4</label>
<title>Measurement limitations and attenuation bias</title>
<p>Although NLP-based measures offer the advantage of using naturally occurring behavioral data, they may not fully capture the multidimensional psychological nature of trust and loyalty. Several sources of measurement error warrant consideration. First, consumers may hold trust and loyalty attitudes without explicitly expressing them in comment text. Second, keyword-based classification and sentiment algorithms may generate false positives or false negatives. Third, the relatively low frequency of explicit trust and loyalty expressions may reduce the signal-to-noise ratio.</p>
<p>These limitations may introduce attenuation bias, whereby classical measurement error biases coefficient estimates toward zero. Consequently, non-significant findings should be interpreted cautiously, as they may reflect either genuine absence of effects or reduced statistical power due to imperfect measurement. Future research may benefit from triangulating NLP-based indicators with survey-based measures or behavioral purchase data.</p>
</sec>
<sec id="sec21">
<label>3.5</label>
<title>Econometric specification</title>
<p>To test the proposed hypotheses, fixed-effects panel regression models were employed. Fixed-effects estimation controls for time-invariant unobserved heterogeneity across brand and country units (<xref ref-type="bibr" rid="ref28">Wooldridge, 2010</xref>). Given the nested structure of the data, the models incorporate brand fixed effects, country fixed effects, and week fixed effects to account for brand-specific characteristics, country-specific institutional environments, and common temporal shocks (<xref ref-type="table" rid="tab1">Table 1</xref>).</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Descriptive statistics.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable</th>
<th align="center" valign="top">
<italic>N</italic>
</th>
<th align="center" valign="top">Mean</th>
<th align="center" valign="top">SD</th>
<th align="center" valign="top">Min</th>
<th align="center" valign="top">P50</th>
<th align="center" valign="top">Max</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">loyalty_score</td>
<td align="center" valign="middle">575</td>
<td align="center" valign="middle">0.52</td>
<td align="center" valign="middle">0.061</td>
<td align="center" valign="middle">0.37</td>
<td align="center" valign="middle">0.518</td>
<td align="center" valign="middle">0.69</td>
</tr>
<tr>
<td align="left" valign="middle">trust_score</td>
<td align="center" valign="middle">575</td>
<td align="center" valign="middle">0.43</td>
<td align="center" valign="middle">0.069</td>
<td align="center" valign="middle">0.28</td>
<td align="center" valign="middle">0.425</td>
<td align="center" valign="middle">0.62</td>
</tr>
<tr>
<td align="left" valign="middle">engagement</td>
<td align="center" valign="middle">575</td>
<td align="center" valign="middle">0.058</td>
<td align="center" valign="middle">0.027</td>
<td align="center" valign="middle">0.011</td>
<td align="center" valign="middle">0.055</td>
<td align="center" valign="middle">0.133</td>
</tr>
<tr>
<td align="left" valign="middle">engagement_lag1</td>
<td align="center" valign="middle">575</td>
<td align="center" valign="middle">0.058</td>
<td align="center" valign="middle">0.027</td>
<td align="center" valign="middle">0.011</td>
<td align="center" valign="middle">0.055</td>
<td align="center" valign="middle">0.133</td>
</tr>
<tr>
<td align="left" valign="middle">trust_lag1</td>
<td align="center" valign="middle">575</td>
<td align="center" valign="middle">0.43</td>
<td align="center" valign="middle">0.069</td>
<td align="center" valign="middle">0.275</td>
<td align="center" valign="middle">0.424</td>
<td align="center" valign="middle">0.618</td>
</tr>
<tr>
<td align="left" valign="middle">post_count</td>
<td align="center" valign="middle">575</td>
<td align="center" valign="middle">7.15</td>
<td align="center" valign="middle">2.84</td>
<td align="center" valign="middle">2</td>
<td align="center" valign="middle">7</td>
<td align="center" valign="middle">15</td>
</tr>
<tr>
<td align="left" valign="middle">avg_post_length</td>
<td align="center" valign="middle">575</td>
<td align="center" valign="middle">164.19</td>
<td align="center" valign="middle">45.32</td>
<td align="center" valign="middle">85</td>
<td align="center" valign="middle">162</td>
<td align="center" valign="middle">295</td>
</tr>
<tr>
<td align="left" valign="middle">video_ratio</td>
<td align="center" valign="middle">575</td>
<td align="center" valign="middle">0.403</td>
<td align="center" valign="middle">0.182</td>
<td align="center" valign="middle">0.1</td>
<td align="center" valign="middle">0.4</td>
<td align="center" valign="middle">0.8</td>
</tr>
<tr>
<td align="left" valign="middle">hashtag_count</td>
<td align="center" valign="middle">575</td>
<td align="center" valign="middle">8.46</td>
<td align="center" valign="middle">3.21</td>
<td align="center" valign="middle">2</td>
<td align="center" valign="middle">8</td>
<td align="center" valign="middle">18</td>
</tr>
<tr>
<td align="left" valign="middle">mention_count</td>
<td align="center" valign="middle">575</td>
<td align="center" valign="middle">1.94</td>
<td align="center" valign="middle">1.45</td>
<td align="center" valign="middle">0</td>
<td align="center" valign="middle">2</td>
<td align="center" valign="middle">7</td>
</tr>
<tr>
<td align="left" valign="middle">brand_age</td>
<td align="center" valign="middle">575</td>
<td align="center" valign="middle">96.8</td>
<td align="center" valign="middle">28.5</td>
<td align="center" valign="middle">59</td>
<td align="center" valign="middle">87</td>
<td align="center" valign="middle">138</td>
</tr>
<tr>
<td align="left" valign="middle">brand_global_rank</td>
<td align="center" valign="middle">575</td>
<td align="center" valign="middle">14.4</td>
<td align="center" valign="middle">13.8</td>
<td align="center" valign="middle">5</td>
<td align="center" valign="middle">7</td>
<td align="center" valign="middle">41</td>
</tr>
<tr>
<td align="left" valign="middle">gdp_per_capita</td>
<td align="center" valign="middle">575</td>
<td align="center" valign="middle">6,337</td>
<td align="center" valign="middle">2,891</td>
<td align="center" valign="middle">2,389</td>
<td align="center" valign="middle">6,001</td>
<td align="center" valign="middle">10,046</td>
</tr>
<tr>
<td align="left" valign="middle">internet_penetration</td>
<td align="center" valign="middle">575</td>
<td align="center" valign="middle">70.2</td>
<td align="center" valign="middle">10.8</td>
<td align="center" valign="middle">52.4</td>
<td align="center" valign="middle">73.7</td>
<td align="center" valign="middle">81.3</td>
</tr>
<tr>
<td align="left" valign="middle">social_media_penetration</td>
<td align="center" valign="middle">575</td>
<td align="center" valign="middle">56</td>
<td align="center" valign="middle">15.9</td>
<td align="center" valign="middle">32.8</td>
<td align="center" valign="middle">60.4</td>
<td align="center" valign="middle">71.4</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec22">
<label>3.6</label>
<title>Correlation analysis</title>
<p>Prior to hypothesis testing, correlation analysis was conducted to examine bivariate relationships among the main variables. <xref ref-type="table" rid="tab2">Table 2</xref> presents the correlation matrix with corresponding significance levels. Brand loyalty is strongly correlated with brand trust, providing preliminary support for the theoretical association between these constructs. Engagement shows weak but statistically significant correlations with both trust and loyalty, indicating potential relationships that warrant further examination under multivariate controls.</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Correlation matrix.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th>Variable</th>
<th align="center" valign="top">loyalty_score</th>
<th align="center" valign="top">trust_score</th>
<th align="center" valign="top">engagement_lag1</th>
<th align="center" valign="top">trust_lag1</th>
<th align="center" valign="top">post_count</th>
<th align="center" valign="top">avg_post_length</th>
<th align="center" valign="top">video_ratio</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">loyalty_score</td>
<td align="center" valign="middle">1</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">trust_score</td>
<td align="center" valign="middle">0.649&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">1</td>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">engagement_lag1</td>
<td align="center" valign="middle">0.132&#x002A;&#x002A;</td>
<td align="center" valign="middle">0.159&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">1</td>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">trust_lag1</td>
<td align="center" valign="middle">0.275&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">0.262&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">0.524&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="middle">1</td>
<td/>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">post_count</td>
<td align="center" valign="middle">0.009</td>
<td align="center" valign="middle">&#x2212;0.061</td>
<td align="center" valign="middle">&#x2212;0.051</td>
<td align="center" valign="middle">&#x2212;0.067</td>
<td align="center" valign="middle">1</td>
<td/>
<td/>
</tr>
<tr>
<td align="left" valign="middle">avg_post_length</td>
<td align="center" valign="middle">0.093&#x002A;</td>
<td align="center" valign="middle">&#x2212;0.02</td>
<td align="center" valign="middle">0.005</td>
<td align="center" valign="middle">&#x2212;0.005</td>
<td align="center" valign="middle">0.003</td>
<td align="center" valign="middle">1</td>
<td/>
</tr>
<tr>
<td align="left" valign="middle">video_ratio</td>
<td align="center" valign="middle">&#x2212;0.005</td>
<td align="center" valign="middle">&#x2212;0.021</td>
<td align="center" valign="middle">0.015</td>
<td align="center" valign="middle">&#x2212;0.01</td>
<td align="center" valign="middle">&#x2212;0.017</td>
<td align="center" valign="middle">0.052</td>
<td align="center" valign="middle">1</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>&#x002A;&#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.001, &#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.01, &#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05.</p>
</table-wrap-foot>
</table-wrap>
<p>High correlations among certain country-level macro indicators are absorbed by fixed effects and do not raise multicollinearity concerns for the regression models. Overall, the correlation patterns suggest no severe multicollinearity issues among the primary time-varying predictors.</p>
<p>The core finding of this study is that none of the hypothesized relationships achieved statistical significance. All coefficients for the engagement and trust variables in the main regression models are non-significant at conventional levels (<italic>p</italic>&#x202F;&#x003E;&#x202F;0.10). This section reports these null results in detail.</p>
</sec>
</sec>
<sec sec-type="results" id="sec23">
<label>4</label>
<title>Results</title>
<sec id="sec24">
<label>4.1</label>
<title>Main effects of social media engagement on brand loyalty</title>
<p><xref ref-type="table" rid="tab3">Table 3</xref> presents the fixed-effects panel regression results examining the relationship between social media engagement, brand trust, and brand loyalty. Model 1 tests the direct short-term effect of lagged engagement on brand loyalty. As shown in column (1), the estimated coefficient of lagged engagement is small in magnitude (<italic>&#x03B2;</italic>&#x202F;=&#x202F;0.0209) and statistically insignificant (SE&#x202F;=&#x202F;0.1398, <italic>p</italic>&#x202F;=&#x202F;0.883). This finding indicates that week-to-week fluctuations in engagement intensity do not produce immediate changes in brand loyalty outcomes. Accordingly, Hypothesis 1 is not supported.</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>Fixed effects panel regression results.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable</th>
<th align="center" valign="top">Model 1</th>
<th align="center" valign="top">Model 2</th>
<th align="center" valign="top">Model 3</th>
<th align="center" valign="top">Model 4</th>
<th align="center" valign="top">Model 5</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">DV:</td>
<td align="center" valign="top">Loyalty</td>
<td align="center" valign="top">Loyalty</td>
<td align="center" valign="top">Trust</td>
<td align="center" valign="top">Loyalty</td>
<td align="center" valign="top">Loyalty</td>
</tr>
<tr>
<td align="left" valign="top">engagement_lag1</td>
<td align="center" valign="top">0.0209 (0.1398)</td>
<td align="center" valign="top">&#x2212;0.3364 (0.3624)</td>
<td align="center" valign="top">&#x2212;0.0106 (0.1686)</td>
<td/>
<td align="center" valign="top">&#x2212;0.3213 (0.3865)</td>
</tr>
<tr>
<td align="left" valign="top">engagement_lag1<sup>2</sup></td>
<td/>
<td align="center" valign="top">3.0031 (3.0679)</td>
<td/>
<td/>
<td align="center" valign="top">2.9773 (3.0922)</td>
</tr>
<tr>
<td align="left" valign="top">trust_lag1</td>
<td/>
<td/>
<td/>
<td align="center" valign="top">&#x2212;0.0037 (0.0394)</td>
<td align="center" valign="top">&#x2212;0.0074 (0.0477)</td>
</tr>
<tr>
<td align="left" valign="top">post_count</td>
<td align="center" valign="top">0.0004 (0.0009)</td>
<td align="center" valign="top">0.0004 (0.0008)</td>
<td align="center" valign="top">&#x2212;0.0012 (0.001)</td>
<td align="center" valign="top">0.0004 (0.0009)</td>
<td align="center" valign="top">0.0004 (0.0008)</td>
</tr>
<tr>
<td align="left" valign="top">avg_post_length</td>
<td align="center" valign="top">0.0001 (0)</td>
<td align="center" valign="top">0.0001 (0)</td>
<td align="center" valign="top">0 (0.0001)</td>
<td align="center" valign="top">0.0001 (0)</td>
<td align="center" valign="top">0.0001 (0)</td>
</tr>
<tr>
<td align="left" valign="top">video_ratio</td>
<td align="center" valign="top">&#x2212;0.0025 (0.0196)</td>
<td align="center" valign="top">&#x2212;0.0017 (0.0197)</td>
<td align="center" valign="top">&#x2212;0.0008 (0.0245)</td>
<td align="center" valign="top">&#x2212;0.0025 (0.0196)</td>
<td align="center" valign="top">&#x2212;0.0018 (0.0198)</td>
</tr>
<tr>
<td align="left" valign="top">hashtag_count</td>
<td align="center" valign="top">&#x2212;0.0002 (0.0006)</td>
<td align="center" valign="top">&#x2212;0.0002 (0.0006)</td>
<td align="center" valign="top">0.0001 (0.0006)</td>
<td align="center" valign="top">&#x2212;0.0002 (0.0006)</td>
<td align="center" valign="top">&#x2212;0.0002 (0.0006)</td>
</tr>
<tr>
<td align="left" valign="top">mention_count</td>
<td align="center" valign="top">0.002 (0.0014)</td>
<td align="center" valign="top">0.002 (0.0014)</td>
<td align="center" valign="top">0.0021 (0.0019)</td>
<td align="center" valign="top">0.002 (0.0014)</td>
<td align="center" valign="top">0.002 (0.0014)</td>
</tr>
<tr>
<td align="left" valign="top">Constant</td>
<td align="center" valign="top">0.5046&#x002A;&#x002A;&#x002A; (0.016)</td>
<td align="center" valign="top">0.5126&#x002A;&#x002A;&#x002A; (0.0174)</td>
<td align="center" valign="top">0.4428&#x002A;&#x002A;&#x002A; (0.0215)</td>
<td align="center" valign="top">0.5074&#x002A;&#x002A;&#x002A; (0.0218)</td>
<td align="center" valign="top">0.5153&#x002A;&#x002A;&#x002A; (0.0224)</td>
</tr>
<tr>
<td align="left" valign="top">Brand FE</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">Country FE</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">Week FE</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">N</td>
<td align="center" valign="top">575</td>
<td align="center" valign="top">575</td>
<td align="center" valign="top">575</td>
<td align="center" valign="top">575</td>
<td align="center" valign="top">575</td>
</tr>
<tr>
<td align="left" valign="top">Clusters</td>
<td align="center" valign="top">25</td>
<td align="center" valign="top">25</td>
<td align="center" valign="top">25</td>
<td align="center" valign="top">25</td>
<td align="center" valign="top">25</td>
</tr>
<tr>
<td align="left" valign="top">R<sup>2</sup> (within)</td>
<td align="center" valign="top">0.0086</td>
<td align="center" valign="top">0.01</td>
<td align="center" valign="top">0.0064</td>
<td align="center" valign="top">0.0085</td>
<td align="center" valign="top">0.0101</td>
</tr>
<tr>
<td align="left" valign="top">R<sup>2</sup> (overall)</td>
<td align="center" valign="top">0.3925</td>
<td align="center" valign="top">0.3934</td>
<td align="center" valign="top">0.2726</td>
<td align="center" valign="top">0.3924</td>
<td align="center" valign="top">0.3934</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Robust standard errors clustered by brand-country in parentheses. &#x002A;&#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.01, &#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05, &#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.10.</p>
</table-wrap-foot>
</table-wrap>
<p>To examine potential nonlinear dynamics, Model 2 incorporates both linear and quadratic engagement terms. Neither the linear term (<italic>&#x03B2;</italic>&#x202F;=&#x202F;&#x2212;0.3364, SE&#x202F;=&#x202F;0.3624, <italic>p</italic>&#x202F;=&#x202F;0.363) nor the quadratic term (<italic>&#x03B2;</italic>&#x202F;=&#x202F;3.0031, SE&#x202F;=&#x202F;3.0679, <italic>p</italic>&#x202F;=&#x202F;0.337) reaches conventional significance levels. These results suggest that the engagement&#x2013;loyalty relationship does not exhibit detectable diminishing returns, saturation effects, or other curvilinear patterns within the observed engagement range. Instead, the estimated relationship remains statistically indistinguishable from zero across engagement levels. Thus, Hypothesis 2 is not supported.</p>
</sec>
<sec id="sec25">
<label>4.2</label>
<title>Engagement&#x2013;trust&#x2013;loyalty pathways</title>
<p>Model 3 evaluates whether engagement predicts brand trust. The coefficient of lagged engagement is negative but extremely small (<italic>&#x03B2;</italic>&#x202F;=&#x202F;&#x2212;0.0106) and statistically insignificant (SE&#x202F;=&#x202F;0.1686, <italic>p</italic>&#x202F;=&#x202F;0.950). This result suggests that short-term variation in engagement does not systematically influence trust-related sentiment expressed in consumer comments. Therefore, Hypothesis 3a is not supported.</p>
<p>Model 4 examines the association between brand trust and brand loyalty. The estimated effect of lagged trust on loyalty is also close to zero (<italic>&#x03B2;</italic>&#x202F;=&#x202F;&#x2212;0.0037, SE&#x202F;=&#x202F;0.0394, <italic>p</italic>&#x202F;=&#x202F;0.926). This finding indicates that short-term changes in trust-related expressions do not translate into contemporaneous loyalty-related responses at the weekly level. Hypothesis 3b is therefore not supported.</p>
<p>Model 5 jointly includes engagement and trust predictors. The coefficients remain statistically insignificant and similar in magnitude to the previous specifications, suggesting that the absence of effects is not driven by omitted variable bias within the proposed mediation framework.</p>
</sec>
<sec id="sec26">
<label>4.3</label>
<title>Curvilinear diagnostics</title>
<p>To further examine the potential nonlinear pattern implied by Model 2, additional diagnostic statistics are reported in <xref ref-type="table" rid="tab4">Table 4</xref>. The estimated turning point occurs at an engagement value of 0.056 (log scale), which is close to the sample mean. The marginal slope is negative at low engagement levels and positive at higher levels. However, because both the linear and quadratic coefficients are statistically insignificant, this pattern cannot be distinguished from a flat relationship. These diagnostics reinforce the conclusion that engagement does not exhibit a meaningful curvilinear association with brand loyalty in the short term.</p>
<table-wrap position="float" id="tab4">
<label>Table 4</label>
<caption>
<p>Curvilinear diagnostics (Model 2).</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Statistic</th>
<th align="center" valign="top">Value</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">b1 (linear coefficient)</td>
<td align="center" valign="middle">&#x2212;0.3364</td>
</tr>
<tr>
<td align="left" valign="middle">b2 (quadratic coefficient)</td>
<td align="center" valign="middle">3.0031</td>
</tr>
<tr>
<td align="left" valign="middle">x_min (ln scale)</td>
<td align="center" valign="middle">0.0111</td>
</tr>
<tr>
<td align="left" valign="middle">x_max (ln scale)</td>
<td align="center" valign="middle">0.1328</td>
</tr>
<tr>
<td align="left" valign="middle">Turning point (ln scale)</td>
<td align="center" valign="middle">0.056</td>
</tr>
<tr>
<td align="left" valign="middle">Slope at x_min</td>
<td align="center" valign="middle">&#x2212;0.2699</td>
</tr>
<tr>
<td align="left" valign="middle">Slope at x_max</td>
<td align="center" valign="middle">0.461</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec27">
<label>4.4</label>
<title>Visualization of estimated relationships</title>
<p>Although the estimated coefficients are statistically insignificant, graphical representations are presented to illustrate the predicted patterns implied by the regression models. <xref ref-type="fig" rid="fig2">Figure 2</xref> displays predicted brand loyalty values across the observed engagement range based on Model 2, with control variables held constant. The fitted curve exhibits a shallow U-shaped pattern, but the 95% confidence intervals are wide and overlap substantially across engagement levels, indicating high estimation uncertainty and limited practical variation in predicted loyalty.</p>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p>Predicted brand loyalty vs. social media engagement (Model 2).</p>
</caption>
<graphic xlink:href="fcomm-11-1780347-g002.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Line chart showing predicted brand loyalty on the vertical axis and lagged engagement rate from 1.1 percent to 14.2 percent on the horizontal axis, with a blue confidence interval widening at both ends.</alt-text>
</graphic>
</fig>
<p><xref ref-type="fig" rid="fig3">Figure 3</xref> presents a scatter plot of the raw data with a quadratic fitted line. The dispersion of observations around the fitted curve is substantial, and no systematic trend is visually apparent.</p>
<fig position="float" id="fig3">
<label>Figure 3</label>
<caption>
<p>Scatter plot with quadratic fit.</p>
</caption>
<graphic xlink:href="fcomm-11-1780347-g003.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Line graph with error bars showing the marginal effect of engagement rate on loyalty, with lagged engagement rate percentages on the x-axis and marginal effect values on the y-axis. The trend is upward sloping, indicating a positive relationship, with uncertainty illustrated by large vertical error bars.</alt-text>
</graphic>
</fig>
<p><xref ref-type="fig" rid="fig4">Figure 4</xref> reports marginal effects of engagement on loyalty across the engagement distribution. The marginal effects remain close to zero and statistically insignificant throughout the entire range, with confidence intervals consistently encompassing zero. Taken together, these visual diagnostics further corroborate the regression results that short-term engagement does not exert a meaningful effect on brand loyalty.</p>
<fig position="float" id="fig4">
<label>Figure 4</label>
<caption>
<p>Marginal effect of engagement on loyalty (Model 2).</p>
</caption>
<graphic xlink:href="fcomm-11-1780347-g004.tif" mimetype="image" mime-subtype="tiff">
<alt-text content-type="machine-generated">Scatter plot showing the relationship between lagged engagement rate in percentages on the x-axis and brand loyalty on the y-axis, with each blue point indicating a loyalty score and a red fitted values line indicating a slight positive trend.</alt-text>
</graphic>
</fig>
</sec>
<sec id="sec28">
<label>4.5</label>
<title>Mediation analysis</title>
<p>Formal mediation tests were conducted following the <xref ref-type="bibr" rid="ref2">Baron and Kenny (1986)</xref> procedure and supplemented with Sobel tests and bootstrap confidence intervals. <xref ref-type="table" rid="tab5">Table 5</xref> reports the mediation results. The estimated indirect effect of engagement on loyalty via brand trust is effectively zero (0.00008). The Sobel test statistic is close to zero (<italic>z</italic>&#x202F;=&#x202F;0.01, <italic>p</italic>&#x202F;=&#x202F;0.992), and the bootstrap 95% confidence interval includes zero (&#x2212;0.0158, 0.0160).</p>
<table-wrap position="float" id="tab5">
<label>Table 5</label>
<caption>
<p>Mediation analysis results (Sobel test and Bootstrap).</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Statistic</th>
<th align="center" valign="top">Value</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">a (Engagement &#x2192; Trust)</td>
<td align="center" valign="middle">&#x2212;0.0106</td>
</tr>
<tr>
<td align="left" valign="middle">SE(a)</td>
<td align="center" valign="middle">0.1686</td>
</tr>
<tr>
<td align="left" valign="middle">b (Trust &#x2192; Loyalty)</td>
<td align="center" valign="middle">&#x2212;0.0074</td>
</tr>
<tr>
<td align="left" valign="middle">SE(b)</td>
<td align="center" valign="middle">0.0477</td>
</tr>
<tr>
<td align="left" valign="middle">Indirect Effect (a&#x202F;&#x00D7;&#x202F;b)</td>
<td align="center" valign="middle">0.00008</td>
</tr>
<tr>
<td align="left" valign="middle">Sobel SE</td>
<td align="center" valign="middle">0.0081</td>
</tr>
<tr>
<td align="left" valign="middle">Sobel z</td>
<td align="center" valign="middle">0.01</td>
</tr>
<tr>
<td align="left" valign="middle"><italic>p</italic>-value</td>
<td align="center" valign="middle">0.992</td>
</tr>
<tr>
<td align="left" valign="middle">Bootstrap 95% CI</td>
<td align="center" valign="middle">[&#x2212;0.0158, 0.0160]</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>These findings provide no statistical evidence that brand trust mediates the relationship between social media engagement and brand loyalty within the short-term observation window. Accordingly, Hypothesis 4 is not supported.</p>
<p>The indirect effect is essentially zero (0.00008). The Sobel test is non-significant (<italic>z</italic>&#x202F;=&#x202F;0.01, <italic>p</italic>&#x202F;=&#x202F;0.992). The bootstrap confidence interval includes zero (CI: &#x2212;0.0158, 0.0160). H4 is not supported.</p>
</sec>
<sec id="sec29">
<label>4.6</label>
<title>Robustness checks</title>
<p>To assess the robustness of the main findings, alternative engagement specifications and estimation approaches were examined. <xref ref-type="table" rid="tab6">Table 6</xref> reports results using cumulative engagement measures based on 4-week and 8-week rolling averages. Both coefficients remain statistically insignificant (<italic>&#x03B2;</italic>&#x202F;=&#x202F;0.0312, <italic>p</italic>&#x202F;=&#x202F;0.809 for the 4-week measure; &#x03B2;&#x202F;=&#x202F;0.0489, <italic>p</italic>&#x202F;=&#x202F;0.752 for the 8-week measure), suggesting that the null results are not driven by the one-week lag specification.</p>
<table-wrap position="float" id="tab6">
<label>Table 6</label>
<caption>
<p>Robustness analysis: cumulative engagement measures.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Variable</th>
<th align="left" valign="top">Model 6 (4-week rolling)</th>
<th align="left" valign="top">Model 7 (8-week rolling)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">DV:</td>
<td align="center" valign="top">Loyalty</td>
<td align="center" valign="top">Loyalty</td>
</tr>
<tr>
<td align="left" valign="top">cumulative_engagement_4wk</td>
<td align="center" valign="top">0.0312 (0.1287)</td>
<td/>
</tr>
<tr>
<td align="left" valign="top">cumulative_engagement_8wk</td>
<td/>
<td align="center" valign="top">0.0489 (0.1543)</td>
</tr>
<tr>
<td align="left" valign="top">Controls</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">Brand FE</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">Country FE</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">Week FE</td>
<td align="center" valign="top">Yes</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">N</td>
<td align="center" valign="top">525</td>
<td align="center" valign="top">450</td>
</tr>
<tr>
<td align="left" valign="top">R<sup>2</sup> (within)</td>
<td align="center" valign="top">0.0092</td>
<td align="center" valign="top">0.0108</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Robust standard errors clustered by brand-country in parentheses. &#x002A;&#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.01, &#x002A;&#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05, &#x002A;<italic>p</italic>&#x202F;&#x003C;&#x202F;0.10. Cumulative engagement calculated as rolling average over 4 or 8&#x202F;weeks.</p>
</table-wrap-foot>
</table-wrap>
<p><xref ref-type="table" rid="tab7">Table 7</xref> presents results from alternative panel estimators, including random-effects and between-effects models. Across all specifications, engagement coefficients remain statistically insignificant. The Hausman test indicates no systematic difference between fixed-effects and random-effects estimates (&#x03C7;<sup>2</sup>&#x202F;=&#x202F;12.34, <italic>p</italic>&#x202F;=&#x202F;0.263), although the fixed-effects specification is retained based on theoretical considerations regarding unobserved heterogeneity. Overall, the robustness analyses confirm that the absence of statistically significant engagement effects is stable across alternative model specifications and measurement approaches.</p>
<table-wrap position="float" id="tab7">
<label>Table 7</label>
<caption>
<p>Robustness analysis: alternative model specifications.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Specification</th>
<th align="center" valign="top">Engagement coefficient</th>
<th align="center" valign="top">SE</th>
<th align="center" valign="top"><italic>p</italic>-value</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">Fixed effects (baseline)</td>
<td align="center" valign="middle">0.0209</td>
<td align="center" valign="middle">0.1398</td>
<td align="center" valign="middle">0.883</td>
</tr>
<tr>
<td align="left" valign="middle">Random effects</td>
<td align="center" valign="middle">0.0847</td>
<td align="center" valign="middle">0.0892</td>
<td align="center" valign="middle">0.343</td>
</tr>
<tr>
<td align="left" valign="middle">Between effects</td>
<td align="center" valign="middle">0.1523</td>
<td align="center" valign="middle">0.2341</td>
<td align="center" valign="middle">0.520</td>
</tr>
<tr>
<td align="left" valign="middle">Hausman test &#x03C7;<sup>2</sup></td>
<td align="center" valign="middle">12.34</td>
<td/>
<td align="center" valign="middle">0.263</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec30">
<label>4.7</label>
<title>Summary of hypothesis tests</title>
<p><xref ref-type="table" rid="tab8">Table 8</xref> summarizes the results of all hypothesis tests. None of the proposed hypotheses reach conventional significance levels. This consistent pattern of null findings persists across baseline models, nonlinear specifications, mediation tests, and robustness checks, indicating a systematic absence of short-term engagement effects on brand loyalty within the studied context.</p>
<table-wrap position="float" id="tab8">
<label>Table 8</label>
<caption>
<p>Summary of hypothesis tests.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Hypothesis</th>
<th align="center" valign="top">Coefficient</th>
<th align="center" valign="top">SE</th>
<th align="center" valign="top"><italic>p</italic>-value</th>
<th align="center" valign="top">Result</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">H1: Engagement &#x2192; Loyalty</td>
<td align="center" valign="middle">0.0209</td>
<td align="center" valign="middle">0.1398</td>
<td align="center" valign="middle">0.883</td>
<td align="left" valign="middle">Not supported</td>
</tr>
<tr>
<td align="left" valign="middle">H2: Curvilinear (quadratic)</td>
<td align="center" valign="middle">3.0031</td>
<td align="center" valign="middle">3.0679</td>
<td align="center" valign="middle">0.337</td>
<td align="left" valign="middle">Not supported</td>
</tr>
<tr>
<td align="left" valign="middle">H3a: Engagement &#x2192; Trust</td>
<td align="center" valign="middle">&#x2212;0.0106</td>
<td align="center" valign="middle">0.1686</td>
<td align="center" valign="middle">0.950</td>
<td align="left" valign="middle">Not supported</td>
</tr>
<tr>
<td align="left" valign="middle">H3b: Trust &#x2192; Loyalty</td>
<td align="center" valign="middle">&#x2212;0.0037</td>
<td align="center" valign="middle">0.0394</td>
<td align="center" valign="middle">0.926</td>
<td align="left" valign="middle">Not supported</td>
</tr>
<tr>
<td align="left" valign="middle">H4: Mediation via Trust</td>
<td align="center" valign="middle">0.00008</td>
<td align="center" valign="middle">0.0081</td>
<td align="center" valign="middle">0.992</td>
<td align="left" valign="middle">Not supported</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>All five hypotheses failed to achieve statistical significance. This consistent pattern of null results persists across the main models and robustness checks.</p>
</sec>
</sec>
<sec sec-type="discussion" id="sec31">
<label>5</label>
<title>Discussion</title>
<sec id="sec32">
<label>5.1</label>
<title>Summary of key findings</title>
<p>This study examined the short-term relationship between social media engagement and brand loyalty in emerging markets, with particular attention to the mediating role of brand trust. Across all model specifications, the empirical results consistently show that social media engagement does not exert a statistically significant effect on brand loyalty. Neither linear nor nonlinear engagement terms are significant, and brand trust does not mediate the engagement&#x2013;loyalty relationship within the weekly observation window. These findings remain robust across alternative lag structures, cumulative engagement measures, and different panel estimation approaches. Together, the results suggest a systematic absence of short-term engagement effects on loyalty-related outcomes in the studied context, rather than isolated model-specific anomalies.</p>
</sec>
<sec id="sec33">
<label>5.2</label>
<title>Theoretical implications</title>
<p>The findings carry several important theoretical implications for social media marketing and consumer&#x2013;brand relationship research.</p>
<p>First, the results challenge the widely held assumption that higher engagement automatically translates into stronger brand loyalty. Much of the existing literature implicitly treats engagement metrics&#x2014;such as likes, comments, and shares&#x2014;as proxies for relationship capital. However, the absence of detectable short-term effects suggests that observable engagement behavior may not reflect substantive psychological attachment or commitment. Engagement volume alone may capture surface-level interaction rather than deeper relational bonds.</p>
<p>Second, the findings highlight a temporal mismatch between engagement dynamics and relationship formation processes. Engagement fluctuates at high frequency, often responding to platform algorithms and content characteristics, whereas trust and loyalty are slow-moving psychological constructs that typically develop through accumulated experiences over longer horizons. Weekly engagement variation may therefore represent short-term noise rather than meaningful relationship-building signals. This temporal misalignment helps explain why short-term engagement shocks fail to produce immediate loyalty responses.</p>
<p>Third, the results point to potential boundary conditions of the Stimulus&#x2013;Organism&#x2013;Response (S-O-R) framework in high-frequency digital contexts. While S-O-R theory assumes relatively direct stimulus-to-response pathways mediated by internal states, the present findings suggest that such mechanisms may operate over extended time scales rather than immediate weekly cycles. The framework may require temporal extensions to account for cumulative exposure effects and delayed psychological adaptation in digital brand environments.</p>
<p>Together, these theoretical implications suggest the need to move beyond static or instantaneous interpretations of engagement effectiveness and toward dynamic models that explicitly incorporate time horizons and relationship accumulation processes.</p>
</sec>
<sec id="sec34">
<label>5.3</label>
<title>Methodological implications</title>
<p>From a methodological perspective, the findings underscore the importance of using panel data designs with appropriate controls for unobserved heterogeneity. Many prior studies rely on cross-sectional survey data or short-term experiments, which may overestimate engagement effects by conflating brand-specific characteristics with engagement outcomes. The use of brand, country, and time fixed effects in this study provides a more stringent test of engagement effectiveness by isolating within-unit variation over time.</p>
<p>In addition, the results highlight potential limitations of NLP-based sentiment measures for capturing complex psychological constructs such as trust and loyalty. While text-based indicators offer scalability and behavioral realism, they may suffer from attenuation bias due to imperfect classification and low base rates of explicit attitudinal expressions. Future research may benefit from triangulating NLP-derived indicators with survey-based measures or transactional purchase data to improve construct validity.</p>
<p>Finally, the high-frequency nature of social media data raises important methodological challenges. Weekly variation may be too granular to capture slow-moving consumer attitudes. Researchers should carefully align temporal measurement scales with the theoretical time horizons of the constructs under investigation. Longer observation windows and cumulative exposure measures may be better suited to studying relationship-building processes.</p>
</sec>
<sec id="sec35">
<label>5.4</label>
<title>Managerial implications</title>
<p>The findings also carry important implications for marketing practitioners operating in emerging markets. First, the results suggest that engagement volume alone should not be interpreted as a direct indicator of relationship success. Metrics such as likes and comments may reflect short-term attention rather than durable brand commitment. Overreliance on engagement-based key performance indicators (KPIs) may therefore lead to overly optimistic assessments of campaign effectiveness.</p>
<p>Second, managers should adopt a longer-term perspective when evaluating social media performance. Relationship-building outcomes such as trust and loyalty are unlikely to respond immediately to short-term engagement fluctuations. Strategic consistency, cumulative exposure, and sustained brand communication efforts may be more important than short-term spikes in interaction metrics.</p>
<p>Finally, the findings imply that emerging market consumers may engage with brand content in ways that are more entertainment-oriented or symbolic rather than relational. Firms may need to complement engagement-oriented tactics with deeper relationship-building strategies, such as customer service integration, community management, and offline&#x2013;online coordination, to translate digital interactions into durable brand equity.</p>
</sec>
</sec>
<sec sec-type="conclusions" id="sec36">
<label>6</label>
<title>Conclusion</title>
<sec id="sec37">
<label>6.1</label>
<title>What we found</title>
<p>This study examined the short-term relationship between social media engagement and brand loyalty in emerging markets, with a particular focus on the potential mediating role of brand trust. Using a multi-country panel dataset and fixed-effects regression models, the empirical analysis consistently shows that social media engagement does not exert a statistically significant short-term effect on brand loyalty.</p>
<p>In addition, the results indicate that brand trust neither responds significantly to short-term engagement fluctuations nor mediates the engagement&#x2013;loyalty relationship within the weekly observation window. These findings remain robust across nonlinear specifications, cumulative engagement measures, and alternative estimation approaches. Together, the evidence points to a systematic absence of short-term engagement effects rather than isolated model-specific anomalies.</p>
</sec>
<sec id="sec38">
<label>6.2</label>
<title>What this means</title>
<p>The findings carry important implications for understanding the role of social media engagement in brand relationship building. First, the results suggest that observable engagement metrics do not necessarily represent genuine relationship capital. Likes, comments, and shares may reflect momentary attention or entertainment-driven interaction rather than durable psychological attachment or behavioral commitment.</p>
<p>Second, the findings highlight the importance of time horizons in evaluating engagement effectiveness. Trust and loyalty are slow-moving psychological constructs that typically develop through accumulated experiences. Short-term engagement variation may therefore be insufficient to trigger measurable changes in these outcomes. This temporal mismatch helps explain why engagement shocks observed at high frequency fail to translate into immediate loyalty responses.</p>
<p>Together, these insights call for greater theoretical attention to dynamic relationship formation processes and caution against interpreting short-term engagement indicators as direct measures of brand relationship strength.</p>
</sec>
<sec id="sec39">
<label>6.3</label>
<title>What this study does not claim</title>
<p>Importantly, this study does not claim that social media engagement is ineffective in general. Instead, the findings demonstrate that short-term fluctuations in engagement do not generate immediate loyalty responses in emerging market contexts. Engagement may still contribute to long-term brand equity through cumulative exposure, repeated interaction, and sustained communication strategies. However, such long-run effects fall outside the temporal scope of the present analysis.</p>
<p>By clearly distinguishing between short-term null effects and potential long-term relationship-building mechanisms, this study avoids overgeneralization and provides a more nuanced interpretation of engagement effectiveness.</p>
</sec>
<sec id="sec40">
<label>6.4</label>
<title>Directions for future research</title>
<p>Several directions for future research emerge from the present findings. First, future studies should employ longer observation windows, such as multi-year panels, to capture cumulative engagement effects and delayed relationship formation processes.</p>
<p>Second, methodological triangulation is needed to improve measurement validity. Combining NLP-based sentiment indicators with survey-based trust and loyalty measures or transactional purchase data would allow researchers to assess whether null short-term effects persist across alternative measurement approaches.</p>
<p>Third, platform heterogeneity warrants further investigation. Engagement dynamics and algorithmic exposure mechanisms differ substantially across platforms such as Instagram, TikTok, Facebook, and regional social media services. Comparative platform-level analyses would help clarify whether the observed patterns are platform-specific or reflect broader digital marketing dynamics.</p>
<p>Finally, future research should examine cultural and institutional moderators in emerging markets, including consumer media usage norms and market maturity, to better understand boundary conditions of engagement effectiveness.</p>
</sec>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="sec41">
<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="sec42">
<title>Ethics statement</title>
<p>Ethical approval was not required for the study involving human data in accordance with the local legislation and institutional requirements. Written informed consent was not required, for either participation in the study or for the publication of potentially/indirectly identifying information, in accordance with the local legislation and institutional requirements. The social media data was accessed and analyzed in accordance with the platform&#x2019;s terms of use and all relevant institutional/national regulations.</p>
</sec>
<sec sec-type="author-contributions" id="sec43">
<title>Author contributions</title>
<p>ST: Conceptualization, Writing &#x2013; original draft. JL: Writing &#x2013; review &#x0026; editing, Methodology.</p>
</sec>
<sec sec-type="COI-statement" id="sec44">
<title>Conflict of interest</title>
<p>The author(s) declared that this work was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
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<fn fn-type="custom" custom-type="edited-by" id="fn0001">
<p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2333129/overview">Tereza Semer&#x00E1;dov&#x00E1;</ext-link>, Technical University of Liberec, Czechia</p>
</fn>
<fn fn-type="custom" custom-type="reviewed-by" id="fn0002">
<p>Reviewed by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1975992/overview">Muhammad Kha</ext-link>, Dalian University, China</p>
<p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3213355/overview">Faisol</ext-link>, Nusantara PGRI University of Kediri, Indonesia</p>
</fn>
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