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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Sustain. Food Syst.</journal-id>
<journal-title>Frontiers in Sustainable Food Systems</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Sustain. Food Syst.</abbrev-journal-title>
<issn pub-type="epub">2571-581X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
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<article-meta>
<article-id pub-id-type="doi">10.3389/fsufs.2024.1365687</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Sustainable Food Systems</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Comprehensive identification, localization, and validation of innovation measurement indices at the farm level in Iran</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Farsani</surname> <given-names>Elahe Davoodi</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
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</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Choobchian</surname> <given-names>Shahla</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
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<contrib contrib-type="author">
<name><surname>Naghani</surname> <given-names>Moslem Shirvani</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
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<aff id="aff1"><sup>1</sup><institution>Department of Agricultural Extension and Education, College of Agriculture, Tarbiat Modares University (TMU)</institution>, <addr-line>Tehran</addr-line>, <country>Iran</country></aff>
<aff id="aff2"><sup>2</sup><institution>Department of Futures Study, School of Social Sciences, Imam Khomeini International University</institution>, <addr-line>Qazvin</addr-line>, <country>Iran</country></aff>
<author-notes>
<fn fn-type="edited-by" id="fn0001">
<p>Edited by: Christian Bux, University of Bari Aldo Moro, Italy</p>
</fn>
<fn fn-type="edited-by" id="fn0002">
<p>Reviewed by: Janpriy Sharma, University of Trento, Italy</p>
<p>Eloy Hontoria, Polytechnic University of Cartagena, Spain</p>
<p>Stanislav &#x0160;kapa, Brno University of Technology, Czechia</p>
</fn>
<corresp id="c001">&#x002A;Correspondence: Shahla Choobchian, <email>shchoobchian@modares.ac.ir</email></corresp>
</author-notes>
<pub-date pub-type="epub">
<day>18</day>
<month>03</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>8</volume>
<elocation-id>1365687</elocation-id>
<history>
<date date-type="received">
<day>04</day>
<month>01</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>04</day>
<month>03</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2024 Farsani, Choobchian and Naghani.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Farsani, Choobchian and Naghani</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 id="sec1">
<title>Introduction</title>
<p>Innovation is a fundamental component of agricultural infrastructure, fostering the sector&#x2019;s development and productivity. Innovation indices tailored to the farm level are benchmarks for assessing innovation within this agricultural context. Therefore, this study aims to discover, localize, and validate comprehensive innovation measurement indices at the farm level. A distinguishing feature of this research is its endeavor to discover and validate a comprehensive tool for measuring innovation at the farm level. Notably, there has been no prior research on discovering comprehensive innovation indices at the farm level, marking a novel aspect of this study.</p>
</sec>
<sec id="sec2">
<title>Method and results</title>
<p>The current research is applied in terms of its purpose and falls into the category of mixed research (quantitative and qualitative), as well as exploratory and descriptive research. This study has been conducted in three stages: The first phase involved reviewing existing literature and extracting indices for measuring innovation. In the second phase, a tool was designed specifically to gauge innovation at the farm level. The third phase entailed face and content validation of the identified indices. This validation process was conducted quantitatively and qualitatively through surveys of subject-matter experts in Iran, and by calculating the content validity ratio (CVR) and content validity index (CVI).</p>
<p>To measure innovation at the farm level, 90 items across 7 dimensions (education, infrastructure, market sophistication, business sophistication, knowledge and technology outputs, creative outputs, and innovative outputs) were extracted, localized, and developed. According to the results, dimensions such as innovative outputs (product innovation, process innovation, and marketing innovation), education (farmers&#x2019; education status in technology and innovation), and infrastructure (familiarity, access, and application of Information and Communication Technology [ICT]) demonstrated high credibility based on CVR and CVI scores.</p>
</sec>
<sec id="sec3">
<title>Conclusion</title>
<p>The utilization of innovation assessment indices can help mitigate the challenges associated with evaluating innovation status on farms, thereby enhancing their condition and increasing farmers&#x2019; profitability. Accurate and reliable data on innovation status empower farmers in market competition and improve economic performance. Attention to innovation and the use of assessment tools can facilitate the attraction of new investors to the agricultural industry. Furthermore, improving agricultural processes through innovative technologies can contribute to the preservation of natural resources and the reduction of environmental pollution.</p>
</sec>
</abstract>
<kwd-group>
<kwd>content validity index</kwd>
<kwd>content validity ratio</kwd>
<kwd>product innovation</kwd>
<kwd>process innovation</kwd>
<kwd>marketing innovation</kwd>
</kwd-group>
<counts>
<fig-count count="2"/>
<table-count count="4"/>
<equation-count count="2"/>
<ref-count count="61"/>
<page-count count="12"/>
<word-count count="9115"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Agricultural and Food Economics</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="sec4">
<label>1</label>
<title>Introduction</title>
<p>Agriculture serves as the foundation of human survival and the economic and industrial base of many countries. However, its development still faces specific challenges such as food security, imbalances in nutritional structure, and resource scarcity (<xref ref-type="bibr" rid="ref39">Lei et al., 2023</xref>). There is a widespread belief that past technologies and experiences are no longer sufficient to address the opportunities and challenges agriculture will face in the future (<xref ref-type="bibr" rid="ref19">Fraser and Campbell, 2019</xref>). Emerging trends in agricultural technologies and innovations enable the production of animal and plant products with higher efficiency and reduced environmental impact (<xref ref-type="bibr" rid="ref60">Webb and Forum, 2018</xref>).</p>
<p>For instance, in a study conducted by <xref ref-type="bibr" rid="ref43">Marou&#x0161;ek et al. (2013</xref>, <xref ref-type="bibr" rid="ref44">2023a</xref>), the economic and environmental benefits of producing and applying digestate biochar (derived from waste materials from the gas production process in biogas plants) were discussed. This biochar plays a significant role in wastewater treatment, reducing associated costs, improving soil quality, and controlling environmental pollution (<xref ref-type="bibr" rid="ref46">Marou&#x0161;ek et al., 2023b</xref>). Additionally, <xref ref-type="bibr" rid="ref45">Marou&#x0161;ek et al. (2022)</xref> demonstrated in another study that the application of silica nanoparticle technology (synthesized from coir pith using the acidic sol&#x2013;gel method) enhances plant germination and growth while lowering production costs compared to traditional chemical and physical methods. In another study, they mentioned the utilization of an extractor (a device for extracting useful substances or energy-generating substances from raw materials) combined with shock pressure to extract rapeseed oil. In this method, biogas serves as an energy source to create pressure in the extractor device, leading to increased oil production and improved extraction efficiency. High pressure facilitates better and faster oil extraction and optimal utilization of renewable energy (<xref ref-type="bibr" rid="ref42">Marou&#x0161;ek, 2013</xref>; <xref ref-type="bibr" rid="ref43">Marou&#x0161;ek et al., 2013</xref>). These innovative methods aim to enhance farm performance, improve the quality of agricultural products, reduce production costs, increase yields, boost income, and ensure food security. From an environmental perspective, these innovations can help improve water and soil quality, reduce greenhouse gas emissions, enhance energy efficiency, and promote the efficient use of natural resources (<xref ref-type="bibr" rid="ref50">Ogundari and Bolarinwa, 2018</xref>; <xref ref-type="bibr" rid="ref25">Hellerstein and Vilorio, 2019</xref>; <xref ref-type="bibr" rid="ref26">Herrero et al., 2020</xref>; <xref ref-type="bibr" rid="ref44">Marou&#x0161;ek et al., 2023a</xref>,<xref ref-type="bibr" rid="ref47">c</xref>).</p>
<p>Developing countries heavily rely on agriculture; however, unfortunately, productivity in this sector remains very low. Agricultural innovations play a crucial role in enabling producers to tackle the sector&#x2019;s major challenges (<xref ref-type="bibr" rid="ref40">Lema et al., 2021</xref>). A new report by the World Bank emphasizes that developing countries must significantly enhance agricultural innovation and the adoption of technology by farmers to eradicate poverty, meet the growing demand for food, and address the adverse effects of climate change (<xref ref-type="bibr" rid="ref20">Fuglie et al., 2019</xref>). Iran is no exception. With agriculture contributing approximately 7% of GDP, employing 18% of the workforce, and accounting for 6% of non-oil exports, while also supplying about 80% of food and 80&#x2013;90% of raw materials required by industries, it holds a significant position in the country&#x2019;s macroeconomy (<xref ref-type="bibr" rid="ref5">Bakhshayesh et al., 2020</xref>). In pursuit of economic development, the country has formulated a vision document aiming to establish itself as the leading knowledge-based economy in the region by 2026 (<xref ref-type="bibr" rid="ref4">Azimi et al., 2021</xref>). One of the key areas within this knowledge-based economy framework is knowledge-based agriculture, which entails increasing productivity and maximizing the utilization of knowledge and technology in agricultural and industrial production across the country (<xref ref-type="bibr" rid="ref36">Lainez et al., 2018</xref>). From the perspective of knowledge-based agriculture, the critical aspect is to foster innovation based on various technologies that should be accompanied by research (<xref ref-type="bibr" rid="ref36">Lainez et al., 2018</xref>). It&#x2019;s worth noting that these technologies must be economically viable, as technologies that fail to generate economic returns cannot be considered sustainable in the long term. The sustainability of technology is directly linked to its profitability, as only profitable technologies can be continually developed and prove beneficial to society and the environment over an extended period (<xref ref-type="bibr" rid="ref1">Akbari et al., 2021</xref>; <xref ref-type="bibr" rid="ref52">Pavolova et al., 2021</xref>).</p>
<p>In Iran, challenges such as high water consumption in agriculture, low yield per hectare in various crops and horticulture, as well as in livestock production, and deficiencies in production technology leading to low productivity, exemplify the current state of the agricultural sector in the country (<xref ref-type="bibr" rid="ref31">Keshavarz et al., 2021</xref>), which is not in line with the principles of a knowledge-based economy. Therefore, considering the existing situation of the agricultural sector in Iran and the significance of innovation in a knowledge-based economy, prioritizing the development of innovation in the agriculture sector as a foundational pillar of such an economy should be a top priority for policymakers and researchers in the country.</p>
<p>The impact of innovation on economic growth and economic superiority can be achieved in two ways: first, innovation can increase efficiency and the utilization of scarce resources, and second, it can enable the utilization of these resources in activities that generate more wealth. Therefore, given the importance of this issue, the measurement indices of innovative agriculture should be examined to assess and enhance the current status of innovation. However, despite the significance of innovation in the agricultural sector, agricultural industries are rarely the focus of innovation policies and are not perceived as underdeveloped sectors, or at least sectors in need of comprehensive research (<xref ref-type="bibr" rid="ref2">Andrade et al., 2020</xref>). Only a few countries have attempted to identify indices of innovation in this sector, which contrasts with the attention given to the industrial and service sectors (<xref ref-type="bibr" rid="ref49">OECD, 2018</xref>).</p>
<p>For instance, <xref ref-type="bibr" rid="ref7">Bjerke and Johansson (2022)</xref> conducted a study on the innovation situation in agricultural and non-agricultural knowledge-based companies in Sweden. The indicators examined to measure innovation in companies included: human capital (employees with higher education, employees&#x2019; work experience), the company&#x2019;s cooperation with other companies to develop its business, the introduction of products, services, processes, or new/improved marketing methods within the past 2&#x2009;years (<xref ref-type="bibr" rid="ref7">Bjerke and Johansson, 2022</xref>). Additionally, <xref ref-type="bibr" rid="ref8">Buchana and Sithole (2023)</xref> presented a conceptual framework to measure innovation in agricultural knowledge-based companies in developing countries in sub-Saharan Africa. In this framework, innovation was generally divided into two categories: technological innovations (product and process innovation) and non-technological innovations (organizational innovation and marketing), with indicators related to the measurement of each category determined (<xref ref-type="bibr" rid="ref8">Buchana and Sithole, 2023</xref>). Furthermore, <xref ref-type="bibr" rid="ref51">Oliveira et al. (2019)</xref> considered factors such as product, process, marketing, and institutional innovation (incentives and institutional policies) to measure innovation in agriculture. <xref ref-type="bibr" rid="ref16">Dutta et al. (2018)</xref> measured innovation in agricultural and food systems and offered a framework based on global innovation indicators. The indicators examined in this study included: (a) human capital and research, (b) market sophistication: financial markets, (c) knowledge and technology outputs, and (d) creative outputs (<xref ref-type="bibr" rid="ref16">Dutta et al., 2018</xref>). <xref ref-type="bibr" rid="ref37">L&#x00E4;pple et al. (2015)</xref> also employed a composite indicator in their study to evaluate innovation in agriculture, including components related to the acceptance of innovation, knowledge acquisition, and investment in machinery at the farm level.</p>
<p>Currently, there is a shortage of research in the field of measuring innovation in the agricultural sector, especially at the farm level. One of the main reasons for this is the lack of indices to measure innovation. According to studies, the indices presented in this area are either incomplete or not suitable for the farm level (<xref ref-type="bibr" rid="ref39">Lei et al., 2023</xref>). Therefore, in addition to comprehensively identifying innovation measurement indices, it is necessary to localize these indices according to the farm level to investigate the innovation status in this field. The main challenge is the localization and development of innovation measurement indices appropriate for the farm level, followed by validation to determine their validity. To validate, the indices should undergo evaluation by several experts to create a list of items suitable for this sector with the necessary validity. The validated items are then used to measure the innovation status. In this context, the primary research question can be framed as follows: Which indices are appropriate and tailored for the agricultural sector? Additionally, how do experts evaluate the validity of these indices and their components in the context of farm conditions?</p>
</sec>
<sec id="sec5">
<label>2</label>
<title>Research method</title>
<p>The method of this research is presented in detail in the following three steps:</p>
<sec id="sec6">
<label>2.1</label>
<title>The first step</title>
<p>In this step, extracting the indices of innovation was done by reviewing library resources and previous literature. The statistical population for this research step includes all articles related to this field that were published in prestigious journals between 2013 and 2023. We chose to focus on these 10&#x2009;years because, considering the study&#x2019;s emphasis on innovation, it&#x2019;s crucial to incorporate more recent research. To search and find the articles, we used the keywords &#x2018;innovation,&#x2019; &#x2018;innovation in agriculture,&#x2019; &#x2018;innovation in farm,&#x2019; &#x2018;product innovation,&#x2019; &#x2018;process innovation,&#x2019; &#x2018;marketing innovation,&#x2019; &#x2018;innovation system,&#x2019; &#x2018;agricultural innovation system,&#x2019; &#x2018;innovation indices,&#x2019; &#x2018;innovation indices in agriculture&#x2019; were looked for in scientific databases such as Nature, Civilica, Ricest, Science Magazine, Elsevier, Scopus, Springer, Emerald, Web of Science, Magiran. To select the articles, 55 journals were reviewed, the most papers were published in the journals &#x201C;research policy,&#x201D; &#x201C;agricultural systems,&#x201D; &#x201C;food policy,&#x201D; &#x201C;technology prediction, and social change,&#x201D; and &#x201C;innovation and development.&#x201D; The selection process was as follows: at first, 302 articles were identified through the relevant title and then articles with relevant abstracts and related keywords were investigated. Furthermore, during the subsequent steps of selecting valid articles, those lacking a valid publisher were excluded from further consideration in the study. Ultimately, 32 articles and one book were included for content analysis. <xref ref-type="fig" rid="fig1">Figure 1</xref> depicts the process of article selection along with the inclusion and exclusion criteria for the content analysis. The review began with the most relevant and highly cited articles, continuing until theoretical saturation was achieved.</p>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>Steps to selecting articles and inclusion and exclusion criteria for articles in the process of content analysis.</p>
</caption>
<graphic xlink:href="fsufs-08-1365687-g001.tif"/>
</fig>
<p>In this part of the study, for data analysis, qualitative content analysis of documents with a deductive approach was used to extract innovation indices. Qualitative content analysis serves as a research method for subjectively interpreting textual data through systematic classification, encoding, and theme development, based on known patterns. These definitions underscore how qualitative content analysis enables researchers to subjectively interpret the authenticity and truthfulness of data while maintaining a scientific approach. The presence of a systematic encoding process ensures the objectivity of the results. Qualitative content analysis delves deeper than the words or objective content of texts, exploring both apparent and hidden themes or patterns within explicit content (<xref ref-type="bibr" rid="ref23">Graneheim et al., 2017</xref>; <xref ref-type="bibr" rid="ref33">Kleinheksel et al., 2020</xref>).</p>
<p>Qualitative content analysis encompasses two main approaches: inductive and deductive. Inductive content analysis becomes essential when there&#x2019;s insufficient information about a phenomenon, and the researcher aims to establish necessary background knowledge. Here, the objective of inductive research is to facilitate the emergence of research findings by identifying dominant and common themes within the data. This involves gradually summarizing collected data to ultimately uncover the main concepts and themes pertinent to the research topic. Unlike the deductive approach, which begins with a predetermined theoretical framework and tests hypotheses, inductive content analysis adopts a bottom-up, exploratory, and open approach. In this method, coding initiates without predetermined codes, allowing researchers to identify codes (main categories) through the analysis of the data set (<xref ref-type="bibr" rid="ref35">Krippendorff, 2018</xref>; <xref ref-type="bibr" rid="ref33">Kleinheksel et al., 2020</xref>).</p>
<p>Deductive content analysis, unlike inductive content analysis, relies on pre-existing research or theories to analyze data. Researchers begin with a set of predetermined categories or codes and then apply them to the data in a top-down approach for the sake of meaning-making. The use of this approach becomes necessary when the research is to test previous theories or expand them in a different context. Existing theories and literature in a field can help predict variables and the relationships between them. Hence, it is possible to guide the study process in a more structured way by taking advantage of previous views. The existing theories help us achieve the operational definition of the desired concepts. This operational definition provides the required categories of research. The operational definition is composed of implicit attributes in each variable, and these attributes must be comprehensive. The main categories representing the subject under investigation are extracted from the operational definition. While conducting qualitative content analysis with a deductive approach, the research starts with theory and theoretical framework. Defining the codes is done before and during the analysis, and extracting the codes is done from the theory or research findings. Coding in this approach is top-down, where researchers start with a set of predetermined codes (categories) and then find excerpts that fit those codes (<xref ref-type="bibr" rid="ref35">Krippendorff, 2018</xref>; <xref ref-type="bibr" rid="ref32">Kibiswa, 2019</xref>; <xref ref-type="bibr" rid="ref33">Kleinheksel et al., 2020</xref>). The reason why we used this approach in the current study was to expand the theory related to global innovation indicators in the field of agriculture and at the farm level, and the coding was carried out with a set of predetermined codes (main categories) which are considered to be the global indicators of innovation (human capital and research, market sophistication, business sophistication, infrastructure, knowledge and technology outputs, creative outputs, and innovative outputs), and then related excerpts (concepts) found by reviewing previous studies were placed in the main categories (<xref ref-type="table" rid="tab1">Table 1</xref>).</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Main categories and concepts related to innovation and innovation in agriculture.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Main categories (Indices)</th>
<th align="center" valign="top">Concepts (Sub-indexes)</th>
<th align="center" valign="top">References</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Human capital and research</td>
<td align="left" valign="top">R&#x0026;D expenditures, R&#x0026;D investments, the number of researchers per one million people, direct costs on training, highly educated staff, training for skills development, gross government R&#x0026;D costs, the number of R&#x0026;D personnel, the number of skilled and experienced staff</td>
<td align="left" valign="top"><xref ref-type="bibr" rid="ref50">Ogundari and Bolarinwa (2018)</xref>, <xref ref-type="bibr" rid="ref7">Bjerke and Johansson (2022)</xref>, <xref ref-type="bibr" rid="ref37">L&#x00E4;pple et al. (2015)</xref>, <xref ref-type="bibr" rid="ref28">Islam et al. (2022)</xref>, <xref ref-type="bibr" rid="ref55">Taques et al. (2021)</xref>, <xref ref-type="bibr" rid="ref11">Cirera and Muzi (2020)</xref>, <xref ref-type="bibr" rid="ref18">Dziallas and Blind (2019)</xref>, <xref ref-type="bibr" rid="ref16">Dutta et al. (2018)</xref>, <xref ref-type="bibr" rid="ref30">Janger et al. (2017)</xref>, <xref ref-type="bibr" rid="ref14">Cruz-C&#x00E1;zares et al. (2013)</xref>, <xref ref-type="bibr" rid="ref27">Hu et al. (2018)</xref>, <xref ref-type="bibr" rid="ref9">Cavdar and Aydin (2015)</xref>, and <xref ref-type="bibr" rid="ref53">Ramayah et al. (2020)</xref></td>
</tr>
<tr>
<td align="left" valign="top">Institutions</td>
<td align="left" valign="top">Institutional incentives and policies, regulations quality, rule of law, political stability or sustainability, government effectiveness</td>
<td align="left" valign="top"><xref ref-type="bibr" rid="ref16">Dutta et al. (2018)</xref>, <xref ref-type="bibr" rid="ref27">Hu et al. (2018)</xref>, <xref ref-type="bibr" rid="ref41">Luo et al. (2019)</xref>, and <xref ref-type="bibr" rid="ref51">Oliveira et al. (2019)</xref></td>
</tr>
<tr>
<td align="left" valign="top">Market sophistication</td>
<td align="left" valign="top">Cooperation with other companies to develop trade, appropriate financial resources, allocation of government credits, granting national credit to the private sector, market capitalization, rate of customs tariffs, competition in domestic markets, credit for equipping and renovation farms, credit for the preparation of production inputs</td>
<td align="left" valign="top"><xref ref-type="bibr" rid="ref39">Lei et al. (2023)</xref>, <xref ref-type="bibr" rid="ref7">Bjerke and Johansson (2022)</xref>, <xref ref-type="bibr" rid="ref16">Dutta et al. (2018)</xref>, <xref ref-type="bibr" rid="ref18">Dziallas and Blind (2019)</xref>, and <xref ref-type="bibr" rid="ref27">Hu et al. (2018)</xref></td>
</tr>
<tr>
<td align="left" valign="top">Infrastructure</td>
<td align="left" valign="top">Costs related to ICT Information and Communication Technology, access to ICT, research infrastructure, use of online government services and electronic participation, equipment purchase</td>
<td align="left" valign="top"><xref ref-type="bibr" rid="ref16">Dutta et al. (2018)</xref>, <xref ref-type="bibr" rid="ref30">Janger et al. (2017)</xref>, and <xref ref-type="bibr" rid="ref9">Cavdar and Aydin (2015)</xref></td>
</tr>
<tr>
<td align="left" valign="top">Business sophistication</td>
<td align="left" valign="top">Net inflow of foreign direct investment as a percentage of gross domestic income, imports of high-tech products as a percentage of total trade, rate of the use of advanced machinery, the number of certified seeds used</td>
<td align="left" valign="top"><xref ref-type="bibr" rid="ref9">Cavdar and Aydin (2015)</xref>, <xref ref-type="bibr" rid="ref30">Janger et al. (2017)</xref>, <xref ref-type="bibr" rid="ref16">Dutta et al. (2018)</xref>, <xref ref-type="bibr" rid="ref50">Ogundari and Bolarinwa (2018)</xref>, <xref ref-type="bibr" rid="ref18">Dziallas and Blind (2019)</xref>, <xref ref-type="bibr" rid="ref11">Cirera and Muzi (2020)</xref>, and <xref ref-type="bibr" rid="ref55">Taques et al. (2021)</xref></td>
</tr>
<tr>
<td align="left" valign="top">Knowledge and technology outputs</td>
<td align="left" valign="top">The number of patents and inventions filed annually by national and international authorities, the number of invention applications, articles published in scientific and technical journals, patent applications filed by residents in each country at local offices, the number of patent applications filed in international offices, level of export of high-tech products, labor force productivity, productivity of production inputs, productivity of energy, use of renewable energy in agriculture</td>
<td align="left" valign="top"><xref ref-type="bibr" rid="ref39">Lei et al. (2023)</xref>, <xref ref-type="bibr" rid="ref16">Dutta et al. (2018)</xref>, <xref ref-type="bibr" rid="ref55">Taques et al. (2021)</xref>, <xref ref-type="bibr" rid="ref30">Janger et al. (2017)</xref>, <xref ref-type="bibr" rid="ref14">Cruz-C&#x00E1;zares et al. (2013)</xref>, <xref ref-type="bibr" rid="ref27">Hu et al. (2018)</xref>, <xref ref-type="bibr" rid="ref9">Cavdar and Aydin (2015)</xref>, <xref ref-type="bibr" rid="ref58">Vochozka et al. (2020)</xref>, <xref ref-type="bibr" rid="ref59">Vochozka et al. (2020)</xref>, <xref ref-type="bibr" rid="ref6">Bencoova et al. (2021)</xref>, and <xref ref-type="bibr" rid="ref61">Yao et al. (2022)</xref></td>
</tr>
<tr>
<td align="left" valign="top">Creative outputs</td>
<td align="left" valign="top">The number of registered trademarks, published outputs, domestic trademark registration, international trademark registration, export of creative goods (as a percentage of total trade), the number of patent certificates</td>
<td align="left" valign="top"><xref ref-type="bibr" rid="ref55">Taques et al. (2021)</xref>, <xref ref-type="bibr" rid="ref18">Dziallas and Blind (2019)</xref>, <xref ref-type="bibr" rid="ref16">Dutta et al. (2018)</xref>, <xref ref-type="bibr" rid="ref27">Hu et al. (2018)</xref>, and <xref ref-type="bibr" rid="ref9">Cavdar and Aydin (2015)</xref></td>
</tr>
<tr>
<td align="left" valign="top">Innovative outputs</td>
<td align="left" valign="top">Product innovation (the first supplier of a new product in at least one market, the newness of some products for the market, the newness of at least one innovation at the national level, the newness of at least one innovation at the international level), innovation in the process (innovation in the methods of producing goods or providing services, innovation in supply and distribution chain, innovation in support processes, quality management of inputs, etc.), and marketing innovation (significant apparent changes in design or packaging to enhance beauty, the use of media or new methods to introduce products, selection of new channels or ways to sell products, the use of new pricing methods)</td>
<td align="left" valign="top"><xref ref-type="bibr" rid="ref49">OECD (2018)</xref>, <xref ref-type="bibr" rid="ref7">Bjerke and Johansson (2022)</xref>, <xref ref-type="bibr" rid="ref8">Buchana and Sithole (2023)</xref>, <xref ref-type="bibr" rid="ref51">Oliveira et al. (2019)</xref>, <xref ref-type="bibr" rid="ref55">Taques et al. (2021)</xref>, <xref ref-type="bibr" rid="ref30">Janger et al. (2017)</xref>, <xref ref-type="bibr" rid="ref14">Cruz-C&#x00E1;zares et al. (2013)</xref>, <xref ref-type="bibr" rid="ref53">Ramayah et al. (2020)</xref>, <xref ref-type="bibr" rid="ref41">Luo et al. (2019)</xref>, <xref ref-type="bibr" rid="ref10">Chang-Mu&#x00F1;oz et al. (2022)</xref>, <xref ref-type="bibr" rid="ref13">Crowley (2017)</xref>, <xref ref-type="bibr" rid="ref29">Ivanov and Avasilc&#x0103;i (2014)</xref>, <xref ref-type="bibr" rid="ref21">Garc&#x00ED;a-Granero et al. (2018)</xref>, <xref ref-type="bibr" rid="ref56">van Galen and Poppe (2013)</xref> <xref ref-type="bibr" rid="ref54">Saavedra et al. (2012)</xref>, and <xref ref-type="bibr" rid="ref3">Ariza et al. (2014)</xref></td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec7">
<label>2.2</label>
<title>The second step</title>
<p>The second step consisted of localization of the extracted innovation indices according to the farm level and then designing primary questionnaires. This questionnaire was designed by the researcher. To design a researcher-made questionnaire, first, the global innovation indices and indices related to the innovation model of the OECD were used, then these indices were localized according to the farm level, and valid sources were used to localize the indices (<xref ref-type="bibr" rid="ref16">Dutta et al., 2018</xref>; <xref ref-type="bibr" rid="ref49">OECD, 2018</xref>; <xref ref-type="bibr" rid="ref39">Lei et al., 2023</xref>). These dimensions and indices are:</p>
<list list-type="order">
<list-item>
<p>Education (Farmers&#x2019; education status): This indicator has 16 items measured by a 5-point Likert scale and an interval scale.</p>
</list-item>
<list-item>
<p>Infrastructure: This dimension has three general indices (familiarity with the application of ICT, access to ICT, and application of ICT by farmers) and 24 items designed as a 5-point Likert scale.</p>
</list-item>
<list-item>
<p>Business sophistication: This dimension was localized at the farm level with the title of the type of inputs used and had 8 items and redesigned as a question format.</p>
</list-item>
<list-item>
<p>Market sophistication: This dimension was localized at the farm level with the title of the credit indicator for the renovation of farms and the number of credits for the preparation of new inputs and had 10 items that were designed as open question and interval scale.</p>
</list-item>
<list-item>
<p>Knowledge and Technology Outputs: This dimension was localized at the farm level with the title of production factors productivity indicator and had 12 items that were designed as open question and interval scale.</p>
</list-item>
<list-item>
<p>Creative outputs: This dimension was designed at the farm level, with 2 items (trademarks and patents) as a nominal scale.</p>
</list-item>
<list-item>
<p>Innovative outputs: This dimension was localized at the farm level with the title of product innovation indicator, process innovation, and marketing innovation and had 18 items that were designed as a nominal scale, a five-point Likert scale, and an interval scale.</p>
</list-item>
</list>
</sec>
<sec id="sec8">
<label>2.3</label>
<title>The third step</title>
<p>At this step, the compiled indices were sent to the subject-matter experts in Iran for quantitative and qualitative validation. Surveys of subject-matter experts were conducted in two stages. In the first stage, the face validity of the questionnaire was tested. To do the initial assessment, the extracted indices were sent to 10 subject-matter experts, and after getting feedback and applying their opinions, several cases were removed and some of them were corrected. At this stage, the face validity of the questionnaire was approved. In this stage, the experts were asked whether the appearance of the questionnaire was properly designed to evaluate the researcher&#x2019;s goal (identification and localization of innovation indices at the farm level). In this stage, subject-matter experts were asked about the suitability, attractiveness, and logical sequence of questions as well as the abbrevity and comprehensiveness of the questionnaire (<xref ref-type="bibr" rid="ref15">Dehhaghi et al., 2022</xref>). After approving face validity, to determine the qualitative and quantitative content validity, the questionnaire was sent to the subject-matter experts. Subject-matter experts included university professors and subject-matter experts in the field of innovation and innovation in the agricultural sector in Iran. Criterion-based sampling method was used to select these subjects. In the criterion-based sampling method, several criteria are identified, and based on the criteria the statistical population is limited and more limited to achieve the desired sample (<xref ref-type="bibr" rid="ref12">Creswell and Creswell, 2017</xref>). In this research, participants were included based on the following criteria: (a) holding a doctoral degree in the field of study (innovation or entrepreneurship in agriculture), (b) having published an article on the topic under investigation, (c) demonstrating accountability, and (d) possessing over 10&#x2009;years of agricultural experience. A total of 24 individuals were selected as research participants to evaluate both the qualitative and quantitative content validity.</p>
</sec>
</sec>
<sec id="sec9">
<label>3</label>
<title>Content validity</title>
<p>Content validity refers to a process that determines to what extent the dimensions and elements of a concept can be successfully defined (<xref ref-type="bibr" rid="ref22">Ghazali et al., 2017</xref>). The content validity indicates how much a scale or questionnaire measures all aspects of the desired construct. To determine the content validity of the questionnaire, experts&#x2019; judgment and the assessment of the coverage extent and appropriateness of the questions with the objectives of the research were used. In this study, this indicator was used to ensure whether the items related to the questionnaires were designed in the best possible way or not. One of the most widely used methods for measuring content validity was created by Lawshe in 1975. It is essentially a method of measuring agreement between assessors or referees (inter-rater agreement) about the importance of a particular item (<xref ref-type="bibr" rid="ref48">Obilor and Miwari, 2022</xref>). In this study, to quantitatively confirm the content validity of questionnaires, <xref ref-type="bibr" rid="ref38">Lawshe&#x2019;s (1975)</xref> method was used. In <xref ref-type="bibr" rid="ref38">Lawshe&#x2019;s (1975)</xref> method, CVR and CVI were determined. To calculate this ratio, the members of the expert board judge each item in terms of the necessity and relevance of the item.</p>
<sec id="sec10">
<label>3.1</label>
<title>Determining content validity ratio (CVR)</title>
<p>To determine this coefficient, the questions were given to experts in the form of a questionnaire, and they were asked to determine the appropriateness of each of the items of the questionnaire based on a three-point range of &#x201C;necessary&#x201D;, &#x201C;useful but not necessary&#x201D; and &#x201C;not necessary&#x201D;. After collecting expert opinions, the CVR for each item was determined using the following formula.</p>
<p>In this formula:</p>
<p>N: The total number of experts.</p>
<p>n: The number of experts who have chosen the &#x201C;necessary&#x201D; option</p>
<disp-formula id="E1">
<mml:math id="M1">
<mml:mi>C</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>R</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mi>N</mml:mi>
<mml:mn>2</mml:mn>
</mml:mfrac>
</mml:mrow>
<mml:mfrac>
<mml:mi>N</mml:mi>
<mml:mn>2</mml:mn>
</mml:mfrac>
</mml:mfrac>
</mml:math>
</disp-formula>
<p>In the Lawshe method, the minimum acceptable CVR is determined based on the number of board members. The minimum CVR required for board members of 24 is 0.37 (<xref ref-type="table" rid="tab2">Table 2</xref>) (<xref ref-type="bibr" rid="ref38">Lawshe, 1975</xref>). Therefore, this coefficient was applied to each of the questions, and questions whose validity was less than this amount were excluded from the questionnaire, but questions that were equal to or bigger than this amount were included in the questionnaire.</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Content validity ratios.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Rate of CVR</th>
<th align="center" valign="top">Number of experts</th>
<th align="center" valign="top">Rate of CVR</th>
<th align="center" valign="top">Number of experts</th>
<th align="center" valign="top">Rate of CVR</th>
<th align="center" valign="top">Number of experts</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">0.37</td>
<td align="center" valign="top">25</td>
<td align="center" valign="top">0.059</td>
<td align="center" valign="top">11</td>
<td align="center" valign="top">0.99</td>
<td align="center" valign="top">5</td>
</tr>
<tr>
<td align="left" valign="top">0.33</td>
<td align="center" valign="top">30</td>
<td align="center" valign="top">0.056</td>
<td align="center" valign="top">12</td>
<td align="center" valign="top">0.99</td>
<td align="center" valign="top">6</td>
</tr>
<tr>
<td align="left" valign="top">0.31</td>
<td align="center" valign="top">35</td>
<td align="center" valign="top">0.56</td>
<td align="center" valign="top">13</td>
<td align="center" valign="top">0.99</td>
<td align="center" valign="top">7</td>
</tr>
<tr>
<td align="left" valign="top">0.29</td>
<td align="center" valign="top">40</td>
<td align="center" valign="top">0.51</td>
<td align="center" valign="top">14</td>
<td align="center" valign="top">0.99</td>
<td align="center" valign="top">8</td>
</tr>
<tr>
<td align="left" valign="top">0.27</td>
<td align="center" valign="top">45</td>
<td align="center" valign="top">0.49</td>
<td align="center" valign="top">15</td>
<td align="center" valign="top">0.75</td>
<td align="center" valign="top">9</td>
</tr>
<tr>
<td align="left" valign="top">0.25</td>
<td align="center" valign="top">50</td>
<td align="center" valign="top">0.42</td>
<td align="center" valign="top">20</td>
<td align="center" valign="top">0.62</td>
<td align="center" valign="top">10</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec11">
<label>3.2</label>
<title>Determining content validity index (CVI)</title>
<p>To calculate CVI, experts were asked to give their opinion based on the 4-point Likert scale, &#x2018;Fully relevant,&#x2019; &#x2018;requiring little change,&#x2019; &#x2018;requiring a lot of change,&#x2019; and &#x2018;unrelated.&#x2019; CVI was calculated for each question, and their mean was also calculated. CVI score for each phrase was calculated by dividing the number of experts agreeing to the 4 and 3 (highly relevant and requiring little change) by the total number of experts (<xref ref-type="bibr" rid="ref24">Haghjoo et al., 2022</xref>).</p>
<disp-formula id="E2">
<mml:math id="M2">
<mml:mi>C</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>I</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="italic">The</mml:mi>
<mml:mspace width="0.25em"/>
<mml:mi mathvariant="italic">total</mml:mi>
<mml:mspace width="0.25em"/>
<mml:mi mathvariant="italic">number</mml:mi>
<mml:mspace width="0.25em"/>
<mml:mi mathvariant="italic">of</mml:mi>
<mml:mspace width="0.25em"/>
<mml:mi mathvariant="italic">experts</mml:mi>
<mml:mspace width="0.25em"/>
<mml:mi mathvariant="italic">who</mml:mi>
<mml:mspace width="0.25em"/>
<mml:mi mathvariant="italic">scored</mml:mi>
<mml:mspace width="0.25em"/>
<mml:mi mathvariant="italic">items</mml:mi>
<mml:mspace width="0.25em"/>
<mml:mn>3</mml:mn>
<mml:mspace width="0.25em"/>
<mml:mi mathvariant="italic">and</mml:mi>
<mml:mspace width="0.25em"/>
<mml:mn>4</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">Total</mml:mi>
<mml:mspace width="0.25em"/>
<mml:mi mathvariant="italic">number</mml:mi>
<mml:mspace width="0.25em"/>
<mml:mi mathvariant="italic">of</mml:mi>
<mml:mspace width="0.25em"/>
<mml:mi mathvariant="italic">experts</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:math>
</disp-formula>
<p>The questions whose CVI was lower than 0.7 were excluded. Questionnaires whose CVI was between 0.7 and 0.79 were reviewed and corrected, and they were included in the questionnaire with a slight change, and the questions whose CVI was higher than 0.79 were confirmed (<xref ref-type="bibr" rid="ref48">Obilor and Miwari, 2022</xref>). Finally, the questionnaire was examined in several stages in terms of the validity of the questions and their content, and necessary corrections were made.</p>
</sec>
</sec>
<sec id="sec12">
<label>4</label>
<title>Findings</title>
<p>To measure farm-level innovation, 90 items in 7 dimensions (education, infrastructure, market sophistication, business sophistication, knowledge and technology outputs, creative outputs, and innovative outputs) were extracted in the first stage. At this stage of the study, after investigating the face validity, CVR was evaluated. The minimum acceptable coefficient based on the number of experts in this study (24 people) is 0.37. According to the coefficients, the questions with validity less than this number were excluded from the questionnaire, and cases equal to or bigger than 0.37 were included in the questionnaire. The results are visible in <xref ref-type="table" rid="tab3">Table 3</xref>. According to the results, 11 items were excluded from the questionnaire based on this coefficient. In addition, the results indicated that the average of CVR of all dimensions (education, infrastructure, market sophistication, business sophistication, knowledge and technology outputs, creative outputs, and innovative outputs) and indices related to them are more than 0.37. This shows that all dimensions and indices related to them have good content validity to measure the status of innovation at the farm level. After investigating the CVR and removing some items, CVI was also used to determine the content validity of the questionnaire. As stated in the research method, if the value of this coefficient is less than 0.7, the item is removed, if it is between 0.7 and 0.79, it should be reviewed, and if it is bigger than 0.79, it is acceptable. According to the results of <xref ref-type="table" rid="tab3">Table 3</xref>, the CVI of three items of the remaining items was less than 0.7 and was excluded from the questionnaire. The coefficient of 26 items ranged from 0.7 to 0.79, so they were reviewed and the rest of the items were acceptable. Also, according to the results of CVI in <xref ref-type="table" rid="tab3">Table 3</xref>, dimensions of education, infrastructure, market sophistication, knowledge and technology outputs, creative outputs, and innovative outputs and indices related to them (education status, familiarity with the application of ICT, access to ICT, application of ICT, credit for equipping and renovating farms, credit for the preparation of new inputs, productivity of production factors, trademarks and patents, product innovation, process innovation, and marketing innovation) were more than 0.79. However, some of the items related to the dimension of business sophistication needed to be revisited. In general, based on this coefficient, dimensions and indices had good content validity to measure the status of innovation at the farm level. According to the results presented in <xref ref-type="table" rid="tab4">Table 4</xref> and <xref ref-type="fig" rid="fig2">Chart 1</xref>, among the dimensions associated with measuring the status of innovation at the farm level, innovative outputs (product innovation, process innovation, and marketing innovation), education (farmers&#x2019; education status in technology and innovation), and infrastructure (familiarity, access, and application of ICT) exhibit high validity, as indicated by their average CVR and CVI scores. Overall, considering the total average derived from both CVI and CVR, the questionnaire demonstrates excellent validity in assessing the status of innovation at the farm level. Therefore, these indices have face and content validity for measuring the status of innovation at the farm level.</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>Questionnaire for measuring innovation status at farm level and calculating CVR &#x0026; CVI.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Dimensions</th>
<th align="left" valign="top">Indices</th>
<th align="left" valign="top">Items</th>
<th align="center" valign="top">CVR</th>
<th align="center" valign="top">CVI</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" rowspan="14">Education</td>
<td align="left" valign="top" rowspan="14">Educating farmers in the field of new and advanced innovations and technologies</td>
<td align="left" valign="top">Efforts and follow-ups of official institutions to hold theoretical training classes in the field of innovation and new technologies</td>
<td align="center" valign="top">0.83</td>
<td align="center" valign="top">0.92</td>
</tr>
<tr>
<td align="left" valign="top">Efforts and follow-ups of official institutions to hold practical training classes in the field of innovation and new technologies</td>
<td align="center" valign="top">0.87</td>
<td align="center" valign="top">0.92</td>
</tr>
<tr>
<td align="left" valign="top">Using posters, brochures, publications, books, and CDs for teaching about innovation and new technologies</td>
<td align="center" valign="top">0.87</td>
<td align="center" valign="top">0.83</td>
</tr>
<tr>
<td align="left" valign="top">Using media such as radio and television to teach innovation and new technologies</td>
<td align="center" valign="top">0.75</td>
<td align="center" valign="top">0.83</td>
</tr>
<tr>
<td align="left" valign="top">Use of websites to teach innovation and new technologies</td>
<td align="center" valign="top">0.75</td>
<td align="center" valign="top">0.83</td>
</tr>
<tr>
<td align="left" valign="top">Using virtual social networks (Telegram, WhatsApp, Instagram, etc.) to teach innovation and new technologies</td>
<td align="center" valign="top">0.50</td>
<td align="center" valign="top">0.83</td>
</tr>
<tr>
<td align="left" valign="top">Farmers&#x2019; reception of extension and training films in the field of innovation and new technologies</td>
<td align="center" valign="top">0.67</td>
<td align="center" valign="top">0.79</td>
</tr>
<tr>
<td align="left" valign="top">Farmers&#x2019; reception of extension and training classes in the field of innovation and new technologies</td>
<td align="center" valign="top">0.67</td>
<td align="center" valign="top">0.79</td>
</tr>
<tr>
<td align="left" valign="top">Farmers&#x2019; awareness of new methods of planting, cultivation, and harvesting crops</td>
<td align="center" valign="top">0.50</td>
<td align="center" valign="top">0.83</td>
</tr>
<tr>
<td align="left" valign="top">The tendency of farmers to constantly communicate with change agents to get acquainted with new methods and techniques of planting, cultivation, and harvesting crops</td>
<td align="center" valign="top">0.50</td>
<td align="center" valign="top">0.87</td>
</tr>
<tr>
<td align="left" valign="top">Farmers&#x2019; satisfaction with extension and training programs in the field of innovation and new technologies</td>
<td align="center" valign="top">0.67</td>
<td align="center" valign="top">0.92</td>
</tr>
<tr>
<td align="left" valign="top">Farmers&#x2019; visit from the best planting, cultivation, and harvesting projects</td>
<td align="center" valign="top">0.58</td>
<td align="center" valign="top">0.87</td>
</tr>
<tr>
<td align="left" valign="top">Duration of participation in extension and training classes in the field of innovations and new agricultural technologies</td>
<td align="center" valign="top">0.67</td>
<td align="center" valign="top">0.79</td>
</tr>
<tr>
<td align="left" valign="top">Average content validity</td>
<td align="center" valign="top">0.68</td>
<td align="center" valign="top">0.84</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="21">Infrastructure</td>
<td align="left" valign="top" rowspan="7">Familiarity with the application of ICT</td>
<td align="left" valign="top">Familiarity with the use of mobile phones in agricultural activities</td>
<td align="center" valign="top">0.75</td>
<td align="center" valign="top">0.87</td>
</tr>
<tr>
<td align="left" valign="top">Familiarity with the use of the Internet in agricultural activities</td>
<td align="center" valign="top">0.67</td>
<td align="center" valign="top">0.79</td>
</tr>
<tr>
<td align="left" valign="top">Familiarity with the use of computers in agricultural activities</td>
<td align="center" valign="top">0.75</td>
<td align="center" valign="top">0.75</td>
</tr>
<tr>
<td align="left" valign="top">Familiarity with the use of intelligent agricultural machinery in agricultural activities</td>
<td align="center" valign="top">0.67</td>
<td align="center" valign="top">0.83</td>
</tr>
<tr>
<td align="left" valign="top">Familiarity with applications of geographical information systems (GIS) in agricultural activities</td>
<td align="center" valign="top">0.42</td>
<td align="center" valign="top">0.87</td>
</tr>
<tr>
<td align="left" valign="top">Familiarity with applications of global positioning system (GPS) in agricultural activities</td>
<td align="center" valign="top">0.67</td>
<td align="center" valign="top">0.83</td>
</tr>
<tr>
<td align="left" valign="top">Average content validity</td>
<td align="center" valign="top">0.65</td>
<td align="center" valign="top">0.82</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="7">Access to ICT</td>
<td align="left" valign="top">Access to mobile phones in agricultural activities</td>
<td align="center" valign="top">0.75</td>
<td align="center" valign="top">0.87</td>
</tr>
<tr>
<td align="left" valign="top">Access to computers in agricultural activities</td>
<td align="center" valign="top">0.83</td>
<td align="center" valign="top">0.83</td>
</tr>
<tr>
<td align="left" valign="top">Access to the Internet in agricultural activities</td>
<td align="center" valign="top">0.67</td>
<td align="center" valign="top">0.79</td>
</tr>
<tr>
<td align="left" valign="top">Access to smart machinery in agricultural activities</td>
<td align="center" valign="top">0.75</td>
<td align="center" valign="top">0.87</td>
</tr>
<tr>
<td align="left" valign="top">Access to geographic information systems (GIS) in agricultural activities</td>
<td align="center" valign="top">0.5</td>
<td align="center" valign="top">0.83</td>
</tr>
<tr>
<td align="left" valign="top">Access to global positioning system (GPS) in agricultural activities</td>
<td align="center" valign="top">0.5</td>
<td align="center" valign="top">0.79</td>
</tr>
<tr>
<td align="left" valign="top">Average content validity</td>
<td align="center" valign="top">0.66</td>
<td align="center" valign="top">0.83</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="7">Use of ICT</td>
<td align="left" valign="top">Use of mobile phones in agricultural activities</td>
<td align="center" valign="top">0.75</td>
<td align="center" valign="top">0.87</td>
</tr>
<tr>
<td align="left" valign="top">Use of the Internet in agricultural activities</td>
<td align="center" valign="top">0.75</td>
<td align="center" valign="top">0.83</td>
</tr>
<tr>
<td align="left" valign="top">Use of computers in agricultural activities</td>
<td align="center" valign="top">0.83</td>
<td align="center" valign="top">0.79</td>
</tr>
<tr>
<td align="left" valign="top">Use of intelligent machinery in agricultural activities</td>
<td align="center" valign="top">0.75</td>
<td align="center" valign="top">0.87</td>
</tr>
<tr>
<td align="left" valign="top">Use of geographic information systems (GIS) in Agricultural Activities</td>
<td align="center" valign="top">0.58</td>
<td align="center" valign="top">0.87</td>
</tr>
<tr>
<td align="left" valign="top">Use of Global Positioning System (GPS) in Agricultural Activities</td>
<td align="center" valign="top">0.75</td>
<td align="center" valign="top">0.75</td>
</tr>
<tr>
<td align="left" valign="top">Average content validity</td>
<td align="center" valign="top">0.68</td>
<td align="center" valign="top">0.83</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="12">Market sophistication</td>
<td align="left" valign="top" rowspan="6">Credit for equipping and modernizing farms</td>
<td align="left" valign="top">Available credits for the construction of access roads between farms</td>
<td align="center" valign="top">0.5</td>
<td align="center" valign="top">0.75</td>
</tr>
<tr>
<td align="left" valign="top">Available credits for the construction of irrigation and drainage channels</td>
<td align="center" valign="top">0.58</td>
<td align="center" valign="top">0.87</td>
</tr>
<tr>
<td align="left" valign="top">Available credits for leveling and changing the layout and shape of the plots</td>
<td align="center" valign="top">0.42</td>
<td align="center" valign="top">0.83</td>
</tr>
<tr>
<td align="left" valign="top">Available credits for the construction of land integration</td>
<td align="center" valign="top">0.58</td>
<td align="center" valign="top">0.83</td>
</tr>
<tr>
<td align="left" valign="top">Available credits for the construction of installations such as bridge, underpass, crossing, slope breaker</td>
<td align="center" valign="top">0.5</td>
<td align="center" valign="top">0.75</td>
</tr>
<tr>
<td align="left" valign="top">Average content validity</td>
<td align="center" valign="top">0.52</td>
<td align="center" valign="top">0.80</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="6">Credit for the preparation of new inputs</td>
<td align="left" valign="top">Available credits for the preparation of modified seeds</td>
<td align="center" valign="top">0.5</td>
<td align="center" valign="top">0.83</td>
</tr>
<tr>
<td align="left" valign="top">Available credits for the preparation of new toxins</td>
<td align="center" valign="top">0.58</td>
<td align="center" valign="top">0.83</td>
</tr>
<tr>
<td align="left" valign="top">Available credits for the preparation of new fertilizers</td>
<td align="center" valign="top">0.58</td>
<td align="center" valign="top">0.83</td>
</tr>
<tr>
<td align="left" valign="top">Available credits for setting up a new irrigation system</td>
<td align="center" valign="top">0.5</td>
<td align="center" valign="top">0.83</td>
</tr>
<tr>
<td align="left" valign="top">Available credits for the preparation of new and advanced machinery in the planting, cultivation, and harvesting stages</td>
<td align="center" valign="top">0.58</td>
<td align="center" valign="top">0.83</td>
</tr>
<tr>
<td align="left" valign="top">Average content validity</td>
<td align="center" valign="top">0.54</td>
<td align="center" valign="top">0.83</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="9">Business sophistication</td>
<td align="left" valign="top" rowspan="9">Type of inputs used</td>
<td align="left" valign="top">Type of seed or seedlings used</td>
<td align="center" valign="top">0.42</td>
<td align="center" valign="top">0.79</td>
</tr>
<tr>
<td align="left" valign="top">Type of fertilizers used</td>
<td align="center" valign="top">0.5</td>
<td align="center" valign="top">0.83</td>
</tr>
<tr>
<td align="left" valign="top">Type of pesticides used (pesticides, herbicides)</td>
<td align="center" valign="top">0.58</td>
<td align="center" valign="top">0.83</td>
</tr>
<tr>
<td align="left" valign="top">Type of irrigation method</td>
<td align="center" valign="top">0.5</td>
<td align="center" valign="top">0.83</td>
</tr>
<tr>
<td align="left" valign="top">Type of irrigation system</td>
<td align="center" valign="top">0.5</td>
<td align="center" valign="top">0.75</td>
</tr>
<tr>
<td align="left" valign="top">Machinery used in the planting stage</td>
<td align="center" valign="top">0.5</td>
<td align="center" valign="top">0.75</td>
</tr>
<tr>
<td align="left" valign="top">Machinery used in the cultivation stage</td>
<td align="center" valign="top">0.42</td>
<td align="center" valign="top">0.79</td>
</tr>
<tr>
<td align="left" valign="top">Machinery used in the harvesting stage</td>
<td align="center" valign="top">0.58</td>
<td align="center" valign="top">0.75</td>
</tr>
<tr>
<td align="left" valign="top">Average Content Validity</td>
<td align="center" valign="top">0.56</td>
<td align="center" valign="top">0.79</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="13">Knowledge and technology output</td>
<td align="left" valign="top" rowspan="13">Productivity of production factors</td>
<td align="left" valign="top">Amount of crop production</td>
<td align="center" valign="top">0.58</td>
<td align="center" valign="top">0.87</td>
</tr>
<tr>
<td align="left" valign="top">Crop cultivation area</td>
<td align="center" valign="top">0.5</td>
<td align="center" valign="top">0.83</td>
</tr>
<tr>
<td align="left" valign="top">The amount of seed/onion used</td>
<td align="center" valign="top">0.67</td>
<td align="center" valign="top">0.87</td>
</tr>
<tr>
<td align="left" valign="top">Number of seedlings</td>
<td align="center" valign="top">0.67</td>
<td align="center" valign="top">0.83</td>
</tr>
<tr>
<td align="left" valign="top">Amount of water consumed</td>
<td align="center" valign="top">0.5</td>
<td align="center" valign="top">0.75</td>
</tr>
<tr>
<td align="left" valign="top">Chemical fertilizer consumption rate</td>
<td align="center" valign="top">0.58</td>
<td align="center" valign="top">0.87</td>
</tr>
<tr>
<td align="left" valign="top">Animal manure consumption rate</td>
<td align="center" valign="top">0.42</td>
<td align="center" valign="top">0.79</td>
</tr>
<tr>
<td align="left" valign="top">Green fertilizer consumption rate</td>
<td align="center" valign="top">0.67</td>
<td align="center" valign="top">0.75</td>
</tr>
<tr>
<td align="left" valign="top">Compost consumption rate</td>
<td align="center" valign="top">0.75</td>
<td align="center" valign="top">0.83</td>
</tr>
<tr>
<td align="left" valign="top">Chemical pesticides consumption rate (liters)</td>
<td align="center" valign="top">0.42</td>
<td align="center" valign="top">0.75</td>
</tr>
<tr>
<td align="left" valign="top">Number of workforces</td>
<td align="center" valign="top">0.83</td>
<td align="center" valign="top">0.92</td>
</tr>
<tr>
<td align="left" valign="top">Usage of machineries (hours)</td>
<td align="center" valign="top">0.58</td>
<td align="center" valign="top">0.75</td>
</tr>
<tr>
<td align="left" valign="top">Average Content Validity</td>
<td align="center" valign="top">0.59</td>
<td align="center" valign="top">0.81</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="3">Creative outputs</td>
<td align="left" valign="top" rowspan="3">Trademarks and patents</td>
<td align="left" valign="top">Having products with trademarks</td>
<td align="center" valign="top">0.58</td>
<td align="center" valign="top">0.75</td>
</tr>
<tr>
<td align="left" valign="top">Patent certificate in the field of agricultural activities</td>
<td align="center" valign="top">0.5</td>
<td align="center" valign="top">0.79</td>
</tr>
<tr>
<td align="left" valign="top">Average Content Validity</td>
<td align="center" valign="top">0.54</td>
<td align="center" valign="top">0.77</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="16">Innovative outputs</td>
<td align="left" valign="top" rowspan="7">Product innovation</td>
<td align="left" valign="top">Supplying new or improved goods</td>
<td align="center" valign="top">0.75</td>
<td align="center" valign="top">0.92</td>
</tr>
<tr>
<td align="left" valign="top">Providing new or improved services</td>
<td align="center" valign="top">0.75</td>
<td align="center" valign="top">0.96</td>
</tr>
<tr>
<td align="left" valign="top">The first product to be marketed in at least one market</td>
<td align="center" valign="top">0.67</td>
<td align="center" valign="top">0.87</td>
</tr>
<tr>
<td align="left" valign="top">Newness of some products for the market</td>
<td align="center" valign="top">0.67</td>
<td align="center" valign="top">0.83</td>
</tr>
<tr>
<td align="left" valign="top">Newness of at least one innovation at the national level</td>
<td align="center" valign="top">0.58</td>
<td align="center" valign="top">0.83</td>
</tr>
<tr>
<td align="left" valign="top">Newness of at least one innovation at the international level</td>
<td align="center" valign="top">0.67</td>
<td align="center" valign="top">0.79</td>
</tr>
<tr>
<td align="left" valign="top">Average Content Validity</td>
<td align="center" valign="top">0.68</td>
<td align="center" valign="top">0.87</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="4">Process Innovation</td>
<td align="left" valign="top">Innovation in the production methods of goods or service delivery</td>
<td align="center" valign="top">0.75</td>
<td align="center" valign="top">0.87</td>
</tr>
<tr>
<td align="left" valign="top">Innovation in supply chain and distribution (such as logistics, material supply and distribution of goods, after-sales services, etc.)</td>
<td align="center" valign="top">0.67</td>
<td align="center" valign="top">0.87</td>
</tr>
<tr>
<td align="left" valign="top">Innovation in support processes (e.g., maintenance system of agricultural machinery, quality management of inputs, etc.)</td>
<td align="center" valign="top">0.67</td>
<td align="center" valign="top">0.92</td>
</tr>
<tr>
<td align="left" valign="top">Average Content Validity</td>
<td align="center" valign="top">0.69</td>
<td align="center" valign="top">0.88</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="5">Marketing Innovation</td>
<td align="left" valign="top">Noticeable cosmetic changes in the design or packaging of the goods to enhance the beauty of the goods or services</td>
<td align="center" valign="top">0.75</td>
<td align="center" valign="top">0.83</td>
</tr>
<tr>
<td align="left" valign="top">Use of new media or methods used for introducing products (such as new TV commercials, brand new imagery, loyalty cards, or points to customers, etc.)</td>
<td align="center" valign="top">0.67</td>
<td align="center" valign="top">0.87</td>
</tr>
<tr>
<td align="left" valign="top">Choosing new channels or methods for selling products (such as selling licenses or franchises, direct sales, proprietary retail, new ways to deliver the product, etc.)</td>
<td align="center" valign="top">0.67</td>
<td align="center" valign="top">0.79</td>
</tr>
<tr>
<td align="left" valign="top">Using new pricing methods (such as on-demand fluid pricing, use of discount systems, etc.)</td>
<td align="center" valign="top">0.58</td>
<td align="center" valign="top">0.75</td>
</tr>
<tr>
<td align="left" valign="top">Average content validity</td>
<td align="center" valign="top">0.67</td>
<td align="center" valign="top">0.81</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap position="float" id="tab4">
<label>Table 4</label>
<caption>
<p>The average CVR and CVI for dimensions of the questionnaire to assess the status of innovation at the farm level.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="middle">Content validity index (CVI)</th>
<th align="center" valign="middle">Content validity ratio (CVR)</th>
<th align="left" valign="middle">Dimensions</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" char=".">0.85</td>
<td align="char" valign="top" char=".">0.68</td>
<td align="left" valign="top">Innovative outputs</td>
</tr>
<tr>
<td align="left" valign="top" char=".">0.84</td>
<td align="char" valign="top" char=".">0.68</td>
<td align="left" valign="top">Education</td>
</tr>
<tr>
<td align="left" valign="top" char=".">0.83</td>
<td align="char" valign="top" char=".">0.66</td>
<td align="left" valign="top">Infrastructure</td>
</tr>
<tr>
<td align="left" valign="top" char=".">0.81</td>
<td align="char" valign="top" char=".">0.59</td>
<td align="left" valign="top">Knowledge and technology outputs</td>
</tr>
<tr>
<td align="left" valign="top" char=".">0.79</td>
<td align="char" valign="top" char=".">0.56</td>
<td align="left" valign="top">Business sophistication</td>
</tr>
<tr>
<td align="left" valign="top" char=".">0.81</td>
<td align="char" valign="top" char=".">0.53</td>
<td align="left" valign="top">Market sophistication</td>
</tr>
<tr>
<td align="left" valign="top" char=".">0.77</td>
<td align="char" valign="top" char=".">0.54</td>
<td align="left" valign="top">Creative outputs</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig position="float" id="fig2">
<label>CHART 1</label>
<caption>
<p>The average CVR and CVI for dimensions of the questionnaire to assess the status of innovation at the farm level.</p>
</caption>
<graphic xlink:href="fsufs-08-1365687-g002.tif"/>
</fig>
</sec>
<sec id="sec13">
<label>5</label>
<title>Discussion and conclusion</title>
<p>Based on the results, the validity of indices measuring the innovation status at the farm level, the indices of innovative outputs (product innovation, process innovation, and marketing innovation), education (the status of farmers&#x2019; education in the field of innovation and technology), and the infrastructure indicator (familiarity, access, and application of ICT) had the highest CVR and CVI among the extracted indices. In other words, from the viewpoint of experts, these indices are the most essential and most relevant indices for measuring the status of innovation at the farm level. These findings are consistent with the findings of Dutta et al. and Buchana and Sithole, which indicate the importance of these indices in measuring the status of innovation at the farm level (<xref ref-type="bibr" rid="ref57">Van Rijn et al., 2012</xref>; <xref ref-type="bibr" rid="ref16">Dutta et al., 2018</xref>; <xref ref-type="bibr" rid="ref8">Buchana and Sithole, 2023</xref>). Regarding the importance of the education indicator in measuring the status of innovation in the farm, it can be said that the development of innovation in the agricultural sector requires knowledge and expertise appropriate to such activities. The issue of lack of expertise is even concerned with the ability to use and work with smart hardware in the agricultural sector. Therefore, to improve farmers&#x2019; skills and increase their awareness, it is necessary to hold educational courses in the field of innovation and new technologies. Regarding the importance of the indicator of familiarity, access, and application of ICT infrastructures, it can be said that ICT plays a role in the development of new products and are key enabler of innovation. These infrastructures facilitate the exchange of information about innovations and new technologies and transfer them to farmers, eliminate barriers to access to new knowledge, supply new inputs, access to national and international markets to sell innovative products, and establish close relationships between businesses, suppliers, customers, and competitors, which are known as important sources of ideas for innovation. ICT generally facilitates innovation through diffusion processes, usage practices, and commercial success, and helps to solve techno-economic issues (<xref ref-type="bibr" rid="ref17">Dvorsk&#x00FD; et al., 2023</xref>; <xref ref-type="bibr" rid="ref34">Kliestik et al., 2023</xref>). Indices of innovative outputs (product, process, marketing, and organization) are also important indices for measuring innovation. In other words, indices of production of a new product, new or improved modes of production, new marketing or new sales methods to increase the attractiveness of agricultural goods and services, and entry into new markets are among the important indices considered for measuring innovation at the farm level. Also, in the farmers&#x2019; education status indicator, three items (technical-educational consultations for farm participatory courses, inviting international professors to train, and sending the farmers abroad for education) were excluded because their CVR and CVI were low. The reason for the low score of these items in their view is that the experts believed that these items are not very appropriate to the conditions of education of Iranian farmers and are not implemented. Therefore, no necessity and importance lie behind the measurement of these items. In the infrastructure dimension, six items (familiarity with remote sensing systems in agricultural activities, familiarity with the application of radio wave identification systems, access to remote sensing systems, access to radio wave identification systems, application of remote sensing systems, application of radio wave identification systems in agricultural activities) were eliminated due to lack of necessity or lack of tight relation with the desired dimension. According to experts, these items also had low scores for measuring the status of innovation at the farm level, so they were excluded from the questionnaire, and the reason for the low score of these items in their views was that these facilities and infrastructure are used in a very limited level or not used at all at the level of agricultural farms in Iran. Therefore, there is no need to measure these items. In the innovative output dimension, five items (turnover due to the introduction of new product for the market, turnover due to the introduction of new crops for the farm, turnover of non-new crops and products with little change, newness of at least one innovation in the Middle East, and newness of at least one innovation at the world level) were eliminated due to lack of necessity or lack of tight relation with the desired dimension. The reason for the low score of these items in the opinion of experts and consequently the elimination of the items has been that in their opinion, these items are not suitable for measuring the status of innovation because farmers do not answer financial questions accurately. The two items &#x201C;newness of at least one innovation in the Middle East&#x201D; and &#x201C;newness of at least one innovation at the world level&#x201D; were also excluded because they are not very related to the state of farm-level innovation.</p>
<p>Overall, this research has addressed fundamental questions related to its objectives, resulting in the identification, localization, and validation of key indices concerning the innovation status at the farm level. It is important to note that the identified indices are deemed valid based on the analyses and calculations conducted. They can be utilized at regional, national, and international levels to assess innovation status on farms and inform planning and policy-making processes. The results indicate that these indices possess both content and face validity, making them suitable for measuring innovation status at the farm level. Indeed, the dimensions and indices introduced facilitate accurate and comprehensive measurement of farm innovation, providing farmers with valuable insights for innovation development, thereby enhancing outputs and economic productivity. Furthermore, this research has consolidated scattered and fragmented knowledge and tools for measuring farm innovation in an integrated manner. Additionally, the qualitative nature of the indices and their ease of assessment contribute to the questionnaire&#x2019;s strengths, making it suitable and understandable for farmers. Moreover, these indices can be adapted by other researchers to examine innovation in other agricultural sectors, such as greenhouses. It is also likely that the dimensions and indices provided in this research can be generalized for measuring farm-level innovation in countries beyond Iran, although further validation by future researchers will be necessary. Given that one of the objectives of this research phase was to assess farm innovation status using the developed indices, utilizing the results of this questionnaire can help mitigate challenges in reviewing current innovation status and its development. Therefore, it is recommended that experts, planners, and decision-makers in the agriculture sector utilize these indices, which have been endorsed by subject-matter experts.</p>
</sec>
<sec sec-type="data-availability" id="sec14">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="supplementary-material" rid="SM1">Supplementary material</xref>, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec sec-type="ethics-statement" id="sec15">
<title>Ethics statement</title>
<p>Ethical review and approval was not required for the study on human participants in accordance with the local legislation and institutional requirements. Written informed consent from the [patients/participants OR patients/participants legal guardian/next of kin] was not required to participate in this study in accordance with the national legislation and the institutional requirements.</p>
</sec>
<sec sec-type="author-contributions" id="sec16">
<title>Author contributions</title>
<p>EF: Conceptualization, Data curation, Formal analysis, Investigation, Methodology, Project administration, Resources, Software, Visualization, Writing &#x2013; original draft. SC: Conceptualization, Methodology, Supervision, Validation, Writing &#x2013; review &#x0026; editing. MN: Conceptualization, Data curation, Resources, Validation, Visualization, Writing &#x2013; review &#x0026; editing.</p>
</sec>
</body>
<back>
<sec sec-type="funding-information" id="sec17">
<title>Funding</title>
<p>The author(s) declare that no financial support was received for the research, authorship, and/or publication of this article.</p>
</sec>
<sec sec-type="COI-statement" id="sec18">
<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 id="sec100" sec-type="disclaimer">
<title>Publisher&#x2019;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>
<sec sec-type="supplementary-material" id="sec19">
<title>Supplementary material</title>
<p>The Supplementary material for this article can be found online at: <ext-link xlink:href="https://www.frontiersin.org/articles/10.3389/fsufs.2024.1365687/full#supplementary-material" ext-link-type="uri">https://www.frontiersin.org/articles/10.3389/fsufs.2024.1365687/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Data_Sheet_1.pdf" id="SM1" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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