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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>K. Lipianina-Honcharenko);</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>Integrated Approach to the International Aspects of Online Dispute Resolution Formation</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Khrystyna Lipianina-Honcharenko</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Nataliia Martsenko</string-name>
          <email>nata.martsenko@gmail.com</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Anastasiia Khrystyna Yurkiv</string-name>
          <email>kh.yurkiv@wunu.edu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Gregory Hladiy</string-name>
          <email>ghladiy@wunu.edu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Mykola Telka</string-name>
          <email>telkamikola@gmail.com</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Melnychuk</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>West Ukrainian National University</institution>
          ,
          <addr-line>Lvivska str., 11, Ternopil, 46000</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <volume>000</volume>
      <fpage>0</fpage>
      <lpage>0003</lpage>
      <abstract>
        <p>The article presents an in-depth analysis of the International Aspects of Online Dispute Resolution (ODR) formation, focusing on the influence of economic, social, and technological factors on the effectiveness of ODR across various countries. By employing factor and regression analyses, the study identifies key determinants of ODR's success, such as GDP, population, consumer price index, unemployment rate, and others. It explores the significant impact of a country's economic development on ODR effectiveness and offers insights for policymakers on enhancing ODR systems through economic incentives, technological advancements, and legal education. The research highlights the need for a comprehensive approach to improve access to justice via online platforms, suggesting future directions to expand the study's parameters for a deeper understanding of ODR's dynamics. This work contributes significantly to the legal research field, particularly in the context of digitization and information technologies, offering a foundation for improving online dispute resolution mechanisms globally..</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Artificial intelligence</kwd>
        <kwd>online dispute resolution</kwd>
        <kwd>alternative dispute resolution</kwd>
        <kwd>extrajudicial dispute resolution</kwd>
        <kwd>civil cases</kwd>
        <kwd>consumers</kwd>
        <kwd>merchants</kwd>
        <kwd>factor analysis</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>In the modern world of rapid development of digital technologies and the information society,
new challenges and opportunities arise in the field of legal research, particularly in the context of
dispute resolution. Online Dispute Resolution (ODR) is becoming an increasingly important tool
in resolving legal conflicts, providing efficient, accessible, and fast methods of resolution. This is
particularly relevant in the conditions of globalization and internationalization of economic
relations, where traditional mechanisms of legal regulation often cannot provide a quick and
effective response to the challenges of the present day.</p>
      <p>The increasing significance of ODR requires a profound understanding of the factors
influencing its effectiveness and adoption. In this context, analyzing the impact of economic,
social, and technological parameters on the success and adoption of ODR in different countries
becomes particularly relevant. Considering the complexity and multidimensionality of these
factors, the application of quantitative research methods, including factorial and regression
analysis, opens up new perspectives for identifying key determinants of ODR effectiveness.</p>
      <p>This article aims to investigate the relationship between various legal, economic, social, and
technological parameters and the effectiveness of ODR in different countries. Special attention is
given to factorial analysis as a method for reducing data dimensionality and identifying latent
variables that influence ODR, as well as further development of regression models to assess the
impact of these factors on the adoption and success of ODR. The use of advanced statistical
analysis methods not only deepens the theoretical understanding of the mechanisms of ODR
functioning but also allows for the development of practical recommendations to improve
policies and strategies in the field of online dispute resolution.</p>
      <p>The research is based on data analysis from various sources, including statistical databases of
the European Union, which provides a reliable foundation for assessing and comparing the
effectiveness of ODR in different jurisdictions. Therefore, this scientific work makes a significant
contribution to the development of legal research in the context of digitization and information
technologies, opening up new horizons for understanding and improving mechanisms of online
dispute resolution.</p>
      <p>The object of the research is the effectiveness and adoption of ODR, while the subject is the
influence of various parameters on ODR outcomes, particularly within different national contexts.
This issue becomes increasingly relevant in the context of rapid digitalization of society and
growing globalization, where traditional mechanisms of legal regulation may not always provide
a quick and effective response to contemporary challenges.</p>
      <p>This work is structured as follows: in Chapter 2, an analysis of related doctrinal studies and
works by scholars is discussed; Chapter 3 presents the methodologies of factorial analysis
research to uncover latent variables influencing ODR in the context of different countries; Chapter
4 outlines the implementation of the approach proposed by the authors; and Chapter 5 provides
the conclusions drawn from the research.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Related work</title>
      <p>
        The discussion on Online Dispute Resolution (ODR) highlights its significance in managing
cross-border online transactions, particularly in e-commerce. It encompasses both narrow
interpretations, such as online arbitrators, and broader mechanisms including Alternative
Dispute Resolution (ADR) methods and online courts. For example, the EU has developed a robust
ODR platform, which includes a multilingual register of ADR bodies and has been enhanced to
improve user experience and functionality [
        <xref ref-type="bibr" rid="ref1 ref2">1, 2</xref>
        ].
      </p>
      <p>
        In terms of promoting ODR, the EU Commission launched campaigns aimed at increasing
consumer and trader engagement, significantly boosting visits to the platform [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. The scholarly
focus on ODR underscores its role in addressing the inadequacies of the traditional judicial
system, particularly in the U.S., and includes the use of advanced technologies like blockchain for
mediation and arbitration [
        <xref ref-type="bibr" rid="ref3 ref4">3, 4</xref>
        ].
      </p>
      <p>
        The article also delves into the practical applications of ODR, examining its effectiveness
compared to traditional court proceedings and its integration within different national systems,
such as those in Italy, Canada, and the UK. It discusses specific platforms like RisolviOnline in Italy
and eResolution in Canada, focusing on their roles in ensuring mediator impartiality and effective
dispute resolution [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ].
      </p>
      <p>
        Furthermore, the study explores the psychological and behavioral aspects of ODR,
emphasizing the importance of understanding emotional reactions and decision-making
processes to enhance the effectiveness of ODR platforms [
        <xref ref-type="bibr" rid="ref6 ref7 ref8">6-8</xref>
        ]. The application of factor and
regression analysis provides a deeper understanding of the structural relationships among
various factors influencing ODR's effectiveness and adoption across different countries [
        <xref ref-type="bibr" rid="ref10 ref11 ref12 ref9">9-15</xref>
        ].
      </p>
      <p>This comprehensive examination of ODR not only outlines its diverse applications and benefits
but also highlights the essential conditions necessary for its development and role in
selfregulation, making it a crucial tool in the evolving landscape of global e-commerce and legal
systems.</p>
    </sec>
    <sec id="sec-3">
      <title>3. Methodology</title>
      <sec id="sec-3-1">
        <title>3.1. Data Collection and Analysis Procedures</title>
        <p>The European ODR platform, initiated by the European Commission, serves as a vital resource
for consumers across the EU, Norway, Iceland, and Liechtenstein, facilitating the resolution of
online purchase disputes through accessible and multilingual tools. By offering direct
communication channels between consumers and traders, it streamlines the process of reaching
fair solutions, often involving approved dispute resolution bodies, which are impartial entities
proficient in resolving conflicts efficiently and economically. The platform's independence from
any trader ensures a neutral ground for negotiations, promoting transparency and fairness in
resolving complaints. Through its functionality, it addresses both national and cross-border
grievances, with data analysis further revealing insights into sectors receiving the highest volume
of complaints, guided by parameters such as Gross National Income (GNI) per capita and Gross
Domestic Product (GDP), which illuminate economic factors shaping consumer behavior and
dispute patterns, aiding policymakers in enhancing consumer protection measures.
Table 1
Dataset Parameters [16]</p>
        <p>Parameter Data type
Population int64
HICP float64
Unemployment float64
Explanation
Population size
The Harmonised Index of Consumer Prices
Information on the number of unemployed
people
Gross National Income per capita in PPS
Gross domestic product
Tax rate
Data on the number of national complaints
float64
float64
float64
int64
GNI
GDP
Tax rate
National complaints</p>
      </sec>
      <sec id="sec-3-2">
        <title>3.2. Description of Methods</title>
        <p>In this study, we employ factor analysis to uncover latent variables influencing ODR across
different countries, analyzing comprehensive information that includes economic, social, and
technological parameters such as GDP, population, consumer price index, unemployment rate,
and others. The choice of factor analysis is motivated by its ability to reduce the dimensionality
of data and identify key factors from a large number of variables, thereby enabling the
identification of primary drivers of ODR.</p>
        <p>The process (Figure 1) of factor analysis [17] begins with assessing the adequacy of the data
for factor analysis using the Bartlett's test of sphericity and the Kaiser-Meyer-Olkin (KMO)
measure, ensuring that the dataset contains sufficient correlations to perform the analysis. Next,
the Kaiser criterion and scree plot are used to determine the optimal number of factors to be
extracted.</p>
        <p>Applying either the principal component method or maximum likelihood estimation allows
for evaluating factor loadings, which indicate how each variable relates to the factors. Factor
rotation, whether orthogonal or oblique, is conducted to enhance the interpretability of the
factors, making the model more understandable. Finally, analysis of factor loadings enables the
interpretation of the substantive significance of each factor, revealing the underlying dimensions
inherent in the dataset and providing deep insights into the structure of the phenomena under
investigation.</p>
        <p>Such an approach is critically important for formulating effective strategies and policies aimed
at supporting and developing ODR, taking into account the unique economic and socio-cultural
contexts of each country.</p>
        <p>For the task of analyzing the impact of economic, social, and technological parameters on ODR
in different countries, factorial analysis can be mathematically described as follows:</p>
        <p>Let there be m observed variables: GDP, Population, HICP (Harmonized Index of Consumer
Prices), Unemployment rate, GNI, Tax rates, and ODR.</p>
        <p>We are seeking a way to express these variables through a smaller number of latent factors
 1,  2, . . . ,   , where  &lt;  , in order to maximize the retention of information about the
relationships between the original variables. The mathematical model (1) for factor analysis in
this context is as follows:</p>
        <p>=   1 1 +   2 2+. . . +    +   , (1)
where   — i-th observed variable,   — j-th factor,   — factor loading indicating the strength
of the influence of the i-th variable,   — is the unique error for the i-th variable representing the
portion of variability  —, not explained by the common factors.</p>
        <p>After determining and interpreting the factors using factor analysis, the next step is to
construct a regression model [18] for the selected factor. The purpose of this step is to assess the
influence of the selected factor (or factors) on the dependent variable, in our case - ODR.
Mathematically, this process can be described as follows. Let F represent the selected factor from
the factor analysis, and Y - the dependent variable (ODR). The regression model (2) for the
selected factor will look like this:</p>
        <p>=  0 +  1 +  (2)
where:  — dependent variable (ODR),  — selected factor, which may represent a
quantitative representation of the influence of economic, social, or technological parameters,  0
— constant representing the value of  , when  = 0,  1 — coefficient measuring the change in Y
for one unit change in ,  — error term representing the variation in Y not explained by the
model.</p>
        <p>The process of regression analysis (Figure 2) begins with careful data preparation, where the
dependent variable Y and independent variable F are identified and prepared for analysis. In
cases where the factor F consists of multiple variables, a composite index may be created. Model
estimation is performed using statistical software that allows for the estimation of important
model parameters, such as the coefficients  0 and  1, which highlight the relationship between F
and Y. Checking the adequacy of the model through statistical tests and diagnostic helps ensure
the reliability and validity of the conclusions. Analysis of the estimated coefficients reveals
insights into the influence of selected factors on the dependent variable, and forecasting based on
new data allows for the application of the obtained knowledge in practice.</p>
        <p>In this section, theoretical aspects and methodological approaches to analyzing the influence
of economic, social, and technological parameters on ODR through the application of factor
analysis and subsequent construction of a regression model are considered. In the following
section, we will focus on the practical implementation of the proposed approach, including a
detailed analysis of data, the use of statistical software for factor and regression analysis, and the
discussion of the obtained results. This will not only confirm theoretical assumptions but also
provide practical recommendations for improving online dispute resolution processes.</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Experimental Results</title>
      <p>To implement the proposed approach described in section 3.2 using the dataset described in
section 3.1, we utilized the Python programming language, which is widely recognized as a tool
in scientific research due to its flexibility, extensive support, and rich set of libraries for data
analysis. Key libraries used in our study include pandas for data processing and analysis, numpy
for performing mathematical operations, scikit-learn for building regression models, and
statsmodels for conducting statistical analysis, including factor analysis and regression model
parameter estimation. The use of the matplotlib and seaborn libraries allowed us to effectively
visualize the data and analysis results, facilitating a better understanding of the conclusions
drawn. This comprehensive approach, which incorporates the use of advanced programming and
statistical analysis tools, enabled us to deeply investigate and interpret the relationships between
various economic, social, and technological parameters influencing ODR.</p>
      <p>Figure 3 depicts a column chart illustrating the distribution of ODR across different countries.
Each column corresponds to a specific country, with the height of the column proportional to the
number of ODR cases in that country. The colors of the columns vary for each country, facilitating
visual differentiation between them. The tallest column, standing out from the others, indicates a
significantly higher level of ODR compared to other countries, while the rest of the columns have
noticeably lower heights. This may indicate differences in the effectiveness or popularity of online
dispute resolution systems in different jurisdictions.</p>
      <p>After preprocessing the data, the results of the Bartlett's test (Figure 4) showed a p-value of
4.34e-21, significantly lower than the established threshold of 0.05. This indicates the presence
of significant correlations between variables and suggests the inadequacy of the identity
correlation matrix. Additionally, the Kaiser-Meyer-Olkin (KMO) index with a value of 0.67
exceeds the critical value of 0.6, demonstrating sufficient correlation between variables for their
effective grouping using factor analysis. These results provide grounds for using factor analysis
to identify interpretable relationships between selected variables in the investigated dataset.</p>
      <p>The results obtained from the factor analysis (Figure 5) indicate three significant factors,
reflected by their eigenvalues, with the first three exceeding the critical threshold of 1, namely
3.20, 1.45, and 1.26. The highest factor loading is observed in the first factor for the first (0.96)
and fifth (0.97) variables, indicating a high correlation with this factor. The second factor
dominates in the second variable with a loading of 0.95. The third factor has the highest loading
for the fourth variable (0.63), suggesting its significant influence on the third factor.
model with two independent variables - GDP and population - has a high coefficient of
determination  2 at 0.893, indicating that approximately 89.3%
of the variability in the
dependent variable ODR can be explained by these variables. The F-statistic value of 112.5, with
its corresponding p-value of 8.01e-14, signifies the overall statistical significance of the model.
The coefficient for GDP is statistically significant with a p-value less than 0.05, highlighting its
influence on ODR. However, the coefficient for population is not statistically significant (p =
0.566), indicating weak or no dependence of ODR on population size in this model. Analysis of
model residuals, including Durbin-Watson, Omnibus, and Jarque-Bera statistics, does not suggest
any clear violations of normality or autocorrelation.</p>
      <p>Based on the provided results (see Figure 6) of the regression analysis, the created model can
be expressed as:

= −883.0713 + 0.0058 × 
+ 0.00003339 × 
(3)</p>
      <p>The model's constant (-883.0713) represents the baseline level of ODR when the values of GDP
and Population are zero. The coefficient for GDP (0.0058) indicates that with each unit increase
in GDP, ODR increases by 0.0058 units, while the coefficient for Population (0.00003339)
indicates a slight increase in ODR by 0.00003339 units with each additional unit of population.
for different countries. Actual ODR data are represented in blue, while predicted values obtained
from the linear regression model (3) are depicted in red, allowing for a visual comparison of the
model's accuracy for each country. The diagram demonstrates significant variability between
actual and predicted values, indicating potential complexity of the model and the need for further
refinement of analytical models for better ODR prediction.</p>
      <p>Therefore, the linear regression model is capable of explaining a significant portion of the
variability in ODR, although some discrepancies between actual and predicted values indicate the
need for further model refinement. Regression analysis underscored the importance of GDP as a
significant predictor for ODR, while the impact of population was found to be insignificant. To
improve modeling results and ensure more accurate ODR forecasts, it is necessary to consider
the possibility of increasing the number of parameters, including other potentially influential
variables that may affect ODR in different countries.</p>
    </sec>
    <sec id="sec-5">
      <title>5. Conclusions</title>
      <p>During this study, a deep analysis of the influence of economic, social, and technological
parameters on the effectiveness of ODR in various countries was conducted. The application of
factor analysis allowed for the identification of key latent variables affecting ODR, including GDP,
population, HICP, unemployment rate, GNI, tax rates, and other parameters. The results of
regression analysis, which showed a high coefficient of determination R² at the level of 0.893,
indicate that the selected variables have a significant impact on ODR. Particularly significant was
GDP, confirming the hypothesis of a close relationship between a country's economic
development and the effectiveness of online dispute resolution mechanisms.</p>
      <p>The obtained results hold significant practical implications for policymakers aiming to develop
and support ODR. Firstly, the high correlation between a country's GDP and ODR effectiveness
underscores the necessity of investing in economic development as a factor contributing to
improved access to justice and online dispute resolution. Secondly, the minimal impact of
population size on ODR suggests that efforts should focus not only on quantitative aspects but
also on qualitative improvements in the ODR system, including technological infrastructure and
legal education for citizens.</p>
      <p>Based on the analysis, it can be concluded that a comprehensive approach is crucial for
enhancing ODR effectiveness, encompassing economic incentives, technological development,
legal education for the population, and adaptation of legislation to the needs of the digital era.
Such an approach will not only improve access to justice through online platforms but also ensure
more efficient and fair dispute resolution.</p>
      <p>Future research directions in the context of analyzing ODR effectiveness involve expanding
the set of studied parameters to gain a deeper understanding of the impact of various factors on
the success of these systems. This includes not only traditional economic and social indicators
but also parameters related to legal culture, access to digital technologies, the level of population
education in digital law, and specific aspects of legislation regulating ODR in different
jurisdictions. Additionally, researching the influence of international cooperation and integration
of legal norms in the context of ODR on the effectiveness of resolving cross-border disputes is
important. Expanding parameters will not only refine existing forecasting and analysis models
but also uncover new, previously unconsidered correlations and drivers of ODR effectiveness.
This will lay the groundwork for developing more comprehensive and effective strategies to
enhance online dispute resolution at both national and international levels.
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