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Article

Latent Dimensions of Innovation and Development in Selected Eastern European Countries: A Perspective Based on an Analysis of the Main Factors

by
Carmen Elena Stoenoiu
1 and
Lorentz Jäntschi
2,*
1
Department of Electric Machines and Drives, Technical University of Cluj-Napoca, 400027 Cluj-Napoca, Romania
2
Department of Physics and Chemistry, Technical University of Cluj-Napoca, 400641 Cluj-Napoca, Romania
*
Author to whom correspondence should be addressed.
World 2025, 6(4), 161; https://doi.org/10.3390/world6040161
Submission received: 7 October 2025 / Revised: 28 November 2025 / Accepted: 3 December 2025 / Published: 9 December 2025

Abstract

Transformations in HEIs (Higher Education Institutions) in recent years have positioned education alongside research, development, and innovation, creating the necessary framework for achieving a positive impact on society and economies. A Principal Factor Analysis was employed using 19 variables from eight Eastern European countries over a three-year period (2022–2024). The six main factors are noted with F1 (innovation and collaboration in R&D), F2 (performance and investment in academic research), F3 (advanced technological production and talent influx), F4 (evolution over time/systemic progress), F5 (cluster development), and F6 (investment in education). These explain over 83% of the total variance, ensuring a robust representation of the original data. The results of the analysis show, in some countries, strengths in specific areas (e.g., EE in innovation, CZ in academic research, and SK in high-tech manufacturing). Meanwhile, a general trend of decreasing scores at the systemic progress level can be observed in most nations, suggesting a slowdown in the overall development momentum. At the same time, significant volatility was observed in cluster development (F5) and investment in education (F6) across the sample. These findings provide a condensed, multidimensional framework for comparative analysis and policy formulation, highlighting specific strengths and vulnerabilities in the regional innovation landscape.

1. Introduction

In recent years, there have been many changes in HEIs due to globalization which, on the one hand, has reduced public investment, and on the other hand, has stimulated the research, development, and innovation activities that are necessary for increased performance in the economy [1,2]. Investments in education have become a necessity for the performance and transformation of universities, with studies claiming that they lead to innovation, entrepreneurial activities, and the adaptation of technology [3,4]. At the same time, investments and digitalization in HEIs are observed through the positive effect on teaching staff and graduates (there are improvements in their cognitive and entrepreneurial skills, adaptability to progress and, ultimately, productivity [5,6,7]. The need for transformation thus arises as a result of global societal and technological transformations, which present new demands on the graduate market, which expects a workforce that is not only highly qualified but which is also capable of “new productivity”, attainable through innovation, advanced technology, high efficiency, and superior quality [1,6,8]. In order to identify common trends and possible differences in the formation of innovation-based economic systems, studies that have analyzed the global innovation index were conducted. These have shown that the innovative development of the economy contributes to ensuring competitiveness and becomes a tool for ensuring sustainable development and economic growth [9,10]. The proven positive impact of RDI on economic growth is also discussed by other studies, which support the need to stimulate educational and research activities in addition to the development of entrepreneurship [11], but also the assessment of the key innovative principles of economic systems [12].
Given the role of HEIs in the development of economies and the conceptual, empirical, and contextual developments captured, this research complements existing studies, highlighting the differences between economies (under the imprint of the transformations generated by the steps towards sustainable economies). In contrast, variables influencing the performance of HEIs among Eastern European countries (emerging countries) are addressed here, which seem to not be researched in this context in the specialized literature.
The research questions that constituted the starting point in the empirical investigation are as follows:
Q1: What are the latent dimensions (main factors) that explain most of the variation in the analyzed indicators at the level of the studied European countries?
Q2: What common patterns of performance can be identified among Eastern European countries based on the scores obtained on the main factors?
Q3: What groups (clusters) of countries are formed based on the factor profile?
Q4: What policy models/directions can be inferred for each type of factor profile identified, and what interventions could improve countries’ performance?
The contribution to the literature is made by developing a conceptual framework supported by a wealth of empirical evidence, which illustrates the close relationship between the indicators. Thus, the contribution of HEIs to the economy is captured in the context of existing transformations at both the national and international levels.
Analyzing the issues mentioned above, in order to capitalize on the effect of HEIs in the economy, the study conducts an analysis of the main factors having an explanatory character, aiming to develop theoretical constructions that underline the observed covariance between variables. The analysis reveals the conceptual dimensions that support the performances at the country level, according to the values obtained (innovation, digitalization, partnership, etc.). Section 2 consists of a literature review, through existing studies on Higher Education Institutions, and highlights their role in societal transformation and the need and implications for collaboration and innovation. Section 3 builds the theoretical framework for the analysis of the main factors through multivariate methods that allow for dimensionality reduction and the identification of latent structures in a set of intercorrelated variables. Section 4 includes the results obtained from the processing of the material and confirms a fit of the factor model that explains the common variant of the extracted factors. Section 5 presents the conclusions regarding the results obtained, and Section 6 presents the theoretical and practical implications of the research. Section 7 describes the limitations of the research and proposes possible future research.

2. Theoretical Analysis and Research Hypothesis

The challenges generated by climate change and a lack of resources and technological progress determine a new perspective of action for Higher Education Institutions (HEIs), directing their attention (through teaching and research staff) towards identifying solutions for the future. Industry 5.0 comes with the need to integrate ethical and societal considerations into the activities carried out within the innovative processes. Thus, in the future, a symbiosis must be created between humans and machines, by developing technologies that allow adaptability and collaboration, in order to achieve resilient and sustainable economies [13]. On the other hand, the Sustainable Development Goals (SDG 9—Industry, Innovation, and Infrastructure; SDG 8—Decent Work and Economic Growth; SDG 13—Climate Action; SDG 17—Cooperation and Leadership) are among the key elements pursued by HEIs, and are attainable through national and international research partnership projects which can facilitate the creation of hubs or incubators to support RDI [14,15].
From this perspective, HEIs play an essential role in the development of countries, through future-oriented skills and values, which can contribute to economic development and growth.

2.1. The Role of Higher Education Institutions in the Context of Transformation

HEIs must provide technical and economic expertise in addition to the skills for developing effective solutions for the involvement of stakeholders in sustainability and responsibility. Therefore, recent studies show that universities around the world are adapting their curricula to transmit the latest skills related to Industry 5.0 [16], becoming promoters of the development of local–global innovation ecosystems [17], developing new skills to balance economic efficiency [18], and/or including concepts for the integration of ethics [17,19].
The need to respond, through assumption and integration, to rapidly evolving technologies, changing consumer behaviors and market dynamics, has led companies and universities to transform [20,21,22]. Due to sustainability challenges, society urgently needs innovations and new knowledge, and universities can contribute through social, environmental, and cultural involvement in the regions in which they operate [23,24]. The benefits of integrating technologies, as a result of the RDI effect in line with the principles of sustainability, are already evident and can be observed in various fields, such as health [25,26], education (digital tools such as AR/VR, enabling experiential learning) [26], and environmental policies (machine learning algorithms implemented for water pollution detection and infrastructure management) [27,28].
Accordingly, the tertiary sector is recognized as a contributor to positive changes in the economy, by including RDI-based activities, through knowledge and digital transformation [4,29], becoming a driving force with long-term beneficial effects at both the country and company levels [30]. In addition to changes related to the need to attract investment for R&D, the transformation of universities has also taken into account the improvement of academic quality in line with global performance standards, which has led to numerous academic, financial, and quality assurance challenges [31,32]. Therefore, the need for competitiveness among universities has become increasingly strong in the context of inclusion in global rankings, with every university striving to achieve global recognition and to secure a top position in international rankings [31,33].

2.2. The Role of Higher Education Institutions in the Context of Collaboration and Innovation

In Europe, as in other regions of the world, HEIs are called upon to identify ways of collaborating through inter-university or extra-university networks (enterprises, public organizations, and non-profit societies), intended for organizational success [1,34]. The scientific literature shows the growing tendency of academic management and higher education professionals engaging in educational research to promote teaching and learning [35,36]. Collaboration between university and industry to diversify teaching has gained increasing attention in higher education [37]. Hence, Higher Education Institutions are called upon to become “SDG incubators” [38], being responsible not only for education but also for shaping sustainable and ethical civic behavior.
Collaboration is considered a key source of new knowledge, as it can provide students with the opportunity to connect to real-world challenges and possible ethical issues, contributing to the relevance and adaptation of curricula and creating conditions for better understanding [39,40].
However, government-supported funding in some countries has become insufficient, and RDI activities allow for the replenishment of funds and the facilitation of new investments [41]; therefore, the actions of HEIs in attracting funds are increasingly important [1,5,42]. At the same time, the need for funding has led universities to a new approach to forming, facilitating, and supporting partnerships in accordance with industry needs [43]. Thus, changes in HEIs due to funding have stimulated progress in education and RDI, and the positive effect on the economy occurs through the qualitative increase in human capital, through new skills and competencies that lead to higher returns with an effect on productivity [44,45]. In parallel, technological progress leads to the optimization of operational efficiency, the creation of new economic sectors, and transformative changes in industries [46,47], in addition to intensively productive areas enabling modernization, structural optimization, and knowledge creation [48].
The involvement of HEIs in RDI is also recognized as positive due to the possibility of bringing together teams of researchers who can address large and complex problems together, and the decentralized structure of universities is conducive to providing the necessary autonomy [49], being able to initiate both private and public research projects [50,51,52]. Sometimes, advantaged by their geographical distribution and the diversity of funding sources, HEIs can contribute to regional networks [53,54], as well as to policy development and knowledge exchange [55,56]. The involvement of HEIs in the community thus extends collaboration with stakeholders, bringing mutual benefits through cooperative educational approaches and public access to knowledge [57,58]; by knowing the needs and priorities of the region, HEIs can increase the prominence of their role in contributing to economic development [59,60]. At the same time, HEIs are promoters of change by contributing to the integration of innovation [61,62], to inclusive approaches to teaching and learning [63,64], and then to entrepreneurship and co-creation [1,65,66].
Since Higher Education Institutions are regulated differently from one country to another from an economic, political, and social perspective, and their development and domestic and international involvement depend on quantitative and qualitative factors, we consider it to be important to conduct research in Eastern European countries, namely countries with emerging economies and similar historical and political pasts. The hypotheses underlying the present research are given here:
H1. 
There are a small number of main factors that can explain the major variation in factor performance at the national level.
H2. 
Eastern European countries can be grouped into structurally meaningful clusters depending on the scores obtained for the main factors.
H3. 
There is a correlation between the factor profile of a country and the policy directions needed to support its sustainable partnerships in research and education.
The main aim of the study is to identify and classify distinct national typologies in terms of knowledge system performance—as defined by the interaction between education, research and development, information and communication technologies, innovation linkages, knowledge creation, and knowledge impact. For this, an analysis based on the Principal Factor Analysis (PFA) was performed [67,68]. The analysis aimed to identify latent (unseen) factors that explain the correlations between the observed variables (19 variables) to enable the following steps: (1) highlighting the main latent dimensions governing the research, innovation, and digitalization ecosystems at the national level; (2) identifying groups (clusters) of countries with convergent or divergent profiles in these areas; (3) formulating differentiated public policy recommendations, in accordance with the specific potential and structural constraints of each group. The study thus contributes to an integrated understanding of scientific and digital performance in a European context, supporting the formulation of evidence-based policies.
The research topic is part of the need to understand and manage the complexity of national knowledge ecosystems in Eastern Europe, at a time when the interdependence between science, digitalization, and public education is becoming decisive for sustainable development. Given that regional disparities and challenges related to innovation, academic internationalization, and digital cohesion persist, a structural analysis is needed, as it can highlight the functional typologies of countries in relation to these dimensions.
By applying Principal Factor Analysis (PFA) and cluster analysis, the research proposes an integrative model for interpreting factorial performance, contributing both to the theoretical advance in the study of knowledge governance and to the substantiation of differentiated policies.

3. Materials and Methods

The study used a panel dataset, collected over a three-year period (2022–2024) and covering eight Eastern European Union member states: Bulgaria, the Czech Republic, Estonia, Hungary, Lithuania, Poland, Romania, and Slovakia (shown in Table 1). The selection of these countries was motivated by their historical and economic similarities, as well as common convergence efforts within the EU [69].
The dataset included 19 variables relevant to the assessment of innovation, R&D, education and economic performance, considered essential in characterizing innovation ecosystems. These variables were selected based on their theoretical relevance and international data availability, ensuring comprehensive coverage of key dimensions of innovation (see Table 2).
In order to identify latent structures and reduce the dimensionality of the dataset, Principal Factor Analysis (PFA) was applied. PFA is a multivariate statistical technique which allowed the transformation of the set of intercorrelated variables into a smaller set of uncorrelated variables (principal factors), maintaining as much as possible of the total variance in the original data. Thus, by reducing dimensionality, a simplification was achieved through smaller sets, which will be easier to explore and visualize, and will make data analysis easier and faster for machine learning algorithms, without external variables to process.
The main steps of the PFA are presented in Figure 1, which can be explained as follows:
  • Data normalization: the step in which the variables were standardized (scaled to zero mean and one standard deviation) to prevent variables with higher variance from dominating the analysis.
  • Calculation of the correlation matrix to analyze data with different units of measurement.
  • Factor extraction using the standard PFA algorithm for extracting principal factors.
  • Factor retention criteria: The optimal number of principal factors was determined based on the Kaiser criterion (Eigenvalue > 1), and the examinations of the scree plot graph and the percentage of total variance were explained. In this study, it was decided to retain six principal factors, which together explained over 83% of the total variance in the data.
  • Factor rotation was required to improve the interpretability of the factors and obtain a simpler and clearer structure (i.e., high loadings for a few variables on one factor, and low loadings for the others), with a Varimax orthogonal rotation being applied.
  • Calculation of factor scores, showing the positions of each observation on each of the identified latent dimensions, facilitating comparisons and the analysis of temporal evolution.
The analytical flow underlying the use of Principal Factor Analysis (PFA) in the present study can be observed in Figure 2. The PFA functions as an intermediate methodological step, linking complex and multidimensional datasets to interpretive results and necessary policy directions.
The PFA was performed using Statistica software (“STATISTICA 8.0”, StatSoft Inc., Tulsa, OK, USA). The PFA results allowed the identification of latent factors reflecting dimensions such as investment in education and research, digital infrastructure, cross-sector collaboration, and innovative performance. This provided a solid explanatory framework for interpreting the correlations between variables and supporting conclusions on development policies.
Following the PFA, a classification of the analyzed countries into homogeneous clusters was performed for the data related to the year 2024, based on the main factors obtained. Subsequently, the characteristics of each cluster were interpreted in terms of strengths, structural deficiencies, and potential synergies. Then, differentiated policy recommendations were formulated for each group of countries, with a focus on strengthening educational, scientific, and digital partnerships.

4. Results and Discussion

Following the factor analysis (PFA), using the data presented in Appendix A, Table A1, and the correlations between the original variables and the initial main factors, before any rotation (see Appendix A, Table A2), led to us obtaining the scores of each observation (country–year) (see Appendix A, Table A3).
Thus, the following were obtained: the eigenvalues of the correlation matrix (which provide numerical criteria to justify the number of factors retained—see Table 3), the eigenvectors of the correlation matrix (to maximize the loadings on some factors and minimize them on others—see Appendix A, Table A4), and the contributions of the variables, based on correlations (additional validation of the interpretation of the factors, see Appendix A, Table A5).
Six main factors (F1–F6) were retained, which, according to the previous analysis, explain a significant proportion of the total variance in the data. These six factors were named and interpreted as follows:
  • F1: Collaboration in innovation and R&D (associated with patent families, ICT use, university–industry collaboration, software spending, joint venture agreements, and tertiary education enrollment).
  • F2: Academic research performance and investment (associated with H-index of citable papers, QS university rankings, gross R&D expenditure, global corporate R&D investors, patents of origin, science and engineering graduates, and inward tertiary mobility).
  • F3: Advanced technology production and talent flow (associated with high-tech production, patents of origin, inward tertiary mobility, tertiary education enrolment, and labor productivity growth).
  • F4: Time evolution/systemic progress (predominantly associated with the variable “Year”, indicating a general trend of progress or regression).
  • F5: Cluster development (mainly associated with cluster development stage, ICT use, and variable “Year”).
  • F6: Education investment (principally associated with education expenditure as % of GDP).
Table A3 (Appendix A) contains the factor scores of each observation (country in a given year) for these six main factors, together with the scores for F7–F19, which, in the context of the decision to keep only six, will not be directly interpreted. The formal analysis of the factor scores (2022–2024) (see Appendix A, Table A3) provides the positioning of each observation (country per year) in the reduced space of the main factors. From the comparative analysis of the countries, the following observations can be deduced:
  • BG presents a mixed profile, with pronounced strengths and weaknesses, and a dynamic evolution over the period. On F5 (cluster development), it has a strong point in 2022 (score of 2.65), indicating exceptional cluster development. However, there is also a significant decrease in this score in 2023 (1.05) and 2024 (0.87), although it remains above average, suggesting either a maturation of the process, a slowdown in the growth rate, or a reorientation of priorities. On F1 (innovation and collaboration in research and development) and F3 (advanced technology production), it demonstrates a positive trend of improvement, moving from negative scores in 2022 (−0.60 at F1 and −1.26 at F3) to positive scores at F1 (0.54) and less negative scores at F3 (−0.21) in 2024. This result indicates the country’s efforts to modernize and integrate into the knowledge-based economy. The result from F2 (academic research) shows that the performance for F2 is constantly deteriorating, from −0.95 in 2022 to −1.92 in 2024, demonstrating persistent or increasing challenges in the field of academic research. Similarly, F4 (temporal evolution) reflects systemic progress, which decreases from −0.41 to −1.86, signifying a significant slowdown in the overall pace of development.
  • CZ is distinguished by a solid performance in research and a positive dynamic in technology adoption, with some volatility in the development of clusters. F2 (academic research) maintains a good and constant score throughout the period (2022: 2.34, 2023: 2.58, and 2024: 2.57), establishing itself as a regional leader in academic performance and R&D investments. F1 (innovation and collaboration in research and development) and F3 (advanced technological production) show an increase (F1 increases from 0.70 to 2.28, and F3 increases from −0.44 to 1.87), showcasing a consolidation of innovation capacity and accelerated expansion in high-tech production sectors. F4 (temporal evolution) decreased from a positive score (1.83 in 2022) to a negative one (−0.41 in 2024), suggesting a slowdown in the overall pace of progress. F5 (cluster development) shows volatility, falling sharply from 0.66 in 2022 to −1.05 in 2023, with a slight recovery to 0.13 in 2024.
  • EE positions itself as an agile innovator, with an exceptional increase in innovation capacity, but with challenges in maintaining systemic progress and support for education. In F1 (innovation and collaboration in research and development), an upward trajectory is observed, with scores of 2.18 (2022), 3.72 (2023) and 5.17 (2024). EE is thus the undisputed leader when it comes to innovation. On F3 (advanced technology production), a constant improvement is observed, from −0.89 to 0.78, indicating a transition to a more advanced technology-based economy. F4 (temporal evolution) shows a decrease from 1.99 to −0.10; F6 (investments in education) shows a decrease from 0.82 to −0.50, which reveals that there is a slowdown in the overall pace of development and a decrease in efforts to support education. This could pose long-term risks to the sustainability of innovation. F5 (cluster development) shows a significant deterioration, namely a decrease from 0.94 to −0.44.
  • HU combines academic research and cluster development (with a strong emphasis) but highlights regression in systemic progress and volatility in investments in education. F2 (academic research) has a good and relatively consistent performance (2.94 in 2022 and 2.90 in 2023); despite a notable decrease in 2024 (1.43), it remains above average. In F5 (cluster development), the initial very high (1.35) in 2022 and consistent in 2023 (1.28). Scores drastically reduced in 2024 (0.02), indicating a potential slowdown in development or a change in focus. In F4 (temporal evolution), there is a constant and pronounced deterioration, from −0.31 to −1.95, signaling a regression in the overall progress of the system. F6 (investments in education) fluctuates significantly, with a strong increase in 2023 (1.56), followed by a steep decrease in 2024 (0.20).
  • LT asserts itself as a growing player in innovation, but encounters structural challenges in academic research, technological production, and particularly with a regression in systemic progress. F1 (innovation and collaboration in research and development) has an impressive upward trajectory (an increase from 0.70 to 3.10), indicating rapid consolidation of innovation capacity. F4 (temporal evolution) drops dramatically from 0.58 to −1.47, suggesting that, although there are advances in innovation, the overall pace of development has slowed down considerably, or even regressed. F2 (academic research) and F3 (advanced technological production) shown below-average values throughout the period, indicating structural deficiencies. In F6 (investment in education), there is a deteriorating trend, from −0.33 to −0.78, representing a problematic aspect for the sustainability of innovation in the long term.
  • PL presents a contrasting profile, with a solid performance in academic research, but persistent deficiencies in advanced technological production, and an alarming deterioration in systemic progress. F2 (academic research) maintains a high score (2.88 in 2022, with a temporary decrease in 2023 to 1.43, and a recovery to 2.12 in 2024), confirming the country’s role as a significant contributor to academic research. In F3 (advanced technological production), a major vulnerability was recorded, with extremely low and negative scores (−3.61 in 2022, −2.93 in 2023, −1.85 in 2024). Although a slight improvement is observed, it remains an area that requires substantial interventions. In F4 (temporal evolution), the situation deteriorated (from −0.04 to −2.33), indicating a reversal of systemic progress, and stagnation or regression at the macroeconomic level. In F5 (cluster development), a decrease from −0.16 to −1.84 can be seen, signaling difficulties in developing or maintaining cluster ecosystems.
  • RO faces fundamental challenges in innovation and research, despite certain positive initial investments in education and cluster development. In F1 (innovation and collaboration in research and development) and F2 (academic research), extremely low scores are recorded over the period (−3.16 in F1 and −2.56 in F2 in 2022), revealing a weak basis for innovation and academic research. Subsequently, a slight improvement trend is observed in F1, but F2 remains at a problematic level. In F3 (advanced technology production), an improvement is recorded, moving from −0.70 to 0.38, which indicates an orientation towards more technological sectors. F5 (cluster development), after an initial score above average (0.77 in 2022), sees a drastic and continuous deterioration (up to −2.02 in 2024). This warrants an in-depth analysis of the policies or factors influencing the formation of clusters. F6 (investment in education) starts with an incredibly positive score (1.39 in 2022), which drops significantly to −0.18 in 2024, signaling a decrease in investment efforts in human capital.
  • SK stands out for its excellence in technological production, but faces significant gaps in innovation and academic research, as well as a deterioration in systemic progress. In F3 (advanced technological production), it maintains a high and constant score (2.52 in 2022, 2.14 in 2023, and 2.14 in 2024), consolidating its leading position in this area. In F6 (investment in education), from an extremely low initial score (−3.73 in 2022), a spectacular recovery is observed in 2023 (0.30), with maintenance of the positive score in 2024 (0.53), indicating a reorientation of political priorities. In F1 (innovation and collaboration in research and development) and F2 (academic research), we observe values that remain at problematic levels throughout the period, with predominantly negative and very low scores (3.24 in F1 in 2022, −0.95 in F2 in 2024). In F4 (temporal evolution), the values decrease from a very positive level (1.68) to a negative level (−0.58), signifying a general slowdown in progress.
By analyzing the countries comparatively, it can be said that there is a divergence in innovation profiles, with clear differences between countries on the different dimensions of innovation and development. Thus, the lack of convergence (divergence) shows that countries are not evolving in the same direction or with the same intensity in the field of innovation and development (both in terms of performance and innovation structure). Some countries (e.g., EE) are leaders in innovation and collaboration in R&D, while others (e.g., CZ, HU, PL) excel in academic research, and SK dominates in production of advanced technologies. This suggests that national innovation strategies differ substantially. A common trend, albeit with different magnitudes, is the deterioration of the F4 score (temporal evolution) for most countries (e.g., CZ, HU, PL, RO, SK). This could indicate a slowdown in the overall growth rate or systemic progress in the region, possibly due to economic shocks (the war in Ukraine) or ineffective policies. The F5 dimension shows considerable volatility and, in most cases, a downward trend after 2022 (e.g., BG, CZ, HU, PL, RO), with the notable exception of LT in 2024. This may signal difficulties in sustaining cluster-based innovation ecosystems. Investment in education (F6) varies significantly, with noteworthy positive developments in SK and CZ in 2023, but negative trends in EE, LT, and RO. This highlights the lack of a uniform approach in prioritizing spending on education, which is critical for human capital and innovation. Each country seems to have one or two “pillars” of performance in which they score consistently high (e.g., F1 for EE; F2 for CZ/HU/PL; F3 for SK), which showcases that there are some comparative advantages or results of long-term strategic investments. Retaining six principal components (F1–F6) was justified by their ability to explain over 83% of the total variance in the data, providing a substantial and interpretable representation of the original information (see Table 3).
As shown in Table 3, the first six factors account for over 80% of the total variance, denoting a strong explanatory power. For eight factors, the cumulative variance exceeds 90%, while for the fourteenth, it reaches about 99%, suggesting a marginally decreasing contribution of the later factors.
Upon the analysis of Table 3, there are 19 factors (corresponding to the 19 active variables). In the second column, “Eigenvalue”, the amount of variation explained by each main factor can be found. In column 3, “Total”, there is the percentage of the total variation explained by each factor. Column 4, “Cumulative”, contains the sum of the eigenvalues up to that factor (cumulative). In column 5, the “Cumulative percentage of variation” is explained up to that factor. By selecting the relevant factors (Kaiser’s criterion and cumulative thresholds), one can observe that only the first six factors have an eigenvalue > 1, and together they explain ~83.17% of the total variation. This indicates that the most relevant information is captured in just a few factors [70]. Using both the rotated factor loadings matrix (see Appendix A, Table A4) and the information in the “Variable contributions, based on correlations” table (see Appendix A, Table A5) (specific to STATISTICA 8.0 software), it was possible to define and understand more in depth what each of these factors measures.
The correlation matrix is presented in Table 4.
The correlation matrix gives direct, simple linear associations.
From the analysis in Table 4, we can see strong links between education, research, and innovation. Thus, the indicators GERD (R&D expenditure) vs. PF (patent families) have a high correlation value (0.78), which reveals that investments in R&D have led to the existence of more patents.
Between the indicators GERD and QSUR (university ranking), a moderate correlation (approx. 0.25) can be seen, which shows that countries with better-ranked universities invest more in R&D.
The correlation of GERD vs. GSE (science and engineering graduates) is also high (0.68), expressing that more graduates are associated with more research.
The correlations TE (tertiary enrolments) and PF (patents) have a high value (0.51), which conveys that a developed tertiary system generates more patents.
The role of collaboration and the innovative ecosystem is observed through the UIRDC, SCD, and JVSAD indicators. One can notice that UIRDC (university–industry collaboration) is positively correlated with GERD (0.52) and TE (0.49), which indicates that technology transfer and collaboration stimulate research and education. SCD (cluster status) is positively correlated with PF (0.71) and PO (0.72), which shows that cluster development is essential to produce patents and scientific documents. JVSAD (joint ventures and alliances) is positively correlated with PF (0.77), resulting in strategic agreements producing changes, ultimately resulting in an active innovation environment.
The impact of ICT can be identified through the ICTA, ICSTU, and SS indicators. From the analysis of the correlation matrix, one can see that ICTA (access to ICT) and ICTU (use of ICT) are positively correlated with TE (0.38 and 0.43), showing that a high-performing educational environment facilitates access and use of technology. At the same time, ICTU and PF are also correlated (0.55), indicating that the use of technology favors the production of patents. SS (software spending) has negative correlations with TE (−0.49) and ICTU (−0.55), which may imply that countries stronger in ICT use and tertiary education spend proportionally less on software.
From the analysis of the correlation matrix, one can also observe significant negative correlations given by LPG with GERD and TIM, and HTM with TE. Thus, LPG (productivity growth) is negatively correlated with GERD (−0.48) and TIM (−0.59). It may indicate a time lag between investments in R&D and the increase in effective productivity. HTM (high-tech production indicator) has a strong negative correlation with TE (−0.77), showing a structural difference between an education-based economy and one based on high-tech production.
In the correlation matrix, weak or absent correlations can also be identified between EE (educational expenditure) and TIM (student mobility), GERD, or GCRDI, revealing that the amount spent does not automatically guarantee mobility or investment in R&D.
The robust correlations between research and development expenditure (GERD) and innovation performance indicators, such as patenting (PF) and scientific production (CD), confirm the central role of R&D financing in stimulating innovative activities and generating intellectual capital. The results also denote that university–industry collaboration (UIRDC) constitutes an essential vector in the process of technology transfer and economic valorization of research results. This synergy is supported by student and researcher mobility (TIM), as well as by the development of regional clusters (SCD), which facilitate innovative agglomerations and intensify knowledge flows.
Linear associations with/without multiplicative effects can be sought in groups of two factors (e.g., ŵ = ax + by + cxy).
The importance of digital infrastructure and skills is highlighted by the positive correlations between access to and use of ICT (ICTA, ICTU) and educational and research indicators. This emphasizes the need to strengthen digital capacities in educational and research systems to support competitiveness in the knowledge economy.
The analysis also highlights the complexity of the relationships between variables, as well as potential time lags between investments and effects on labor productivity growth (LPG). These observations recommend a long-term perspective in the formulation and implementation of public strategies.
To observe the distribution of countries (using a scatterplot), a factor map was created in the two-dimensional space defined by the first two main factors (F1 and F2) extracted following a factor analysis (PFA, see Table A3, Appendix A), for the year 2024, applied to a set of indicators related to education, research, innovation, digitalization, and the economic impact of knowledge. Using a scatterplot, a comparison can be made between at least two sets of values or pairs of data, drawing attention to the relationship between them (see Figure 3).
Quadrant I (top right), according to Figure 3, presents consolidated innovation and digitalization profiles, with countries located in this quadrant showing positive scores on both Factor 1 and Factor 2, indicating a high level of performance in the areas of research innovation and digitalization (CZ, PL and HU). CZ (F1: 2.28, F2: 2.57) shows a balance between investments in education and research, innovation capacity (measured by indicators such as patents and university–industry collaboration), and international openness (student mobility and international research connections). PL (F1: 0.57 and F2: 2.12) displays an average performance in innovation (F1), but a good score in collaboration and innovation system (F2), having a functional institutional network, with potential for increasing research investments. HU (F1: 0.24 and F2: 1.43) is also in this quadrant, suggesting a convergence towards a knowledge-based development model, with a growing institutional network, but a modest level of direct investment in knowledge. Countries in this quadrant demonstrate the capacity to support an innovative ecosystem that benefits from solid investments in research and development, effective collaboration between universities and industry, openness to academic mobility and internationalization, and the integration of information technologies into institutional systems. These characteristics give them a competitive advantage in the transition to a knowledge-based and technology-based economy.
Quadrant II, according to Figure 1, does not contain the countries included in the study.
Quadrant III, according to Figure 1, shows countries with a weak scientific and international profile (RO and SK). These countries are in a vulnerable position, with low scores on both factors, signaling major risks of academic isolation and inefficiency in research and innovation. In RO (F1: −1.59 and F2: −2.57), the lowest score of all countries can be observed, indicating an overall low performance in terms of both research infrastructure and digital and collaborative integration. The causes are chronic underfunding of research (R&D spending below 0.5% of GDP), low participation in international networks and collaborative projects, universities performing below expectations in global rankings, weak industrial partnerships and governance issues, and a lack of coherent internationalization strategies. In SK (F1 = −1.42, F2 = −0.95), there is a poorly developed and poorly connected innovation system, aggravated by modest scientific performance and low outputs (articles, patents, citations), low participation in European research programs and networks, and lack of incentives for public–private cooperation and academic mobility. These two countries urgently need structural reforms to exit the stagnation zone and rebuild their position in the European Research Area.
Quadrant IV, according to Figure 3, shows an emerging scientific base, but a weak international openness (EE, LT and BG). These countries demonstrate a relevant domestic potential in education and research, but face limitations in international integration, which prevent them from capitalizing on technical progress. The very high score on F1 positions EE as a regional leader in innovation, research and digitalization, while there is a slightly negative score on F2 (F1 = 5.17, F2 = −0.65). The value obtained on F2 suggests that, although technologically advanced, EE is pulled far below F2. The potential for growth in institutional cooperation (strong digital infrastructure and STEM education) could contribute to relaunching the internationalization strategy to re-enter Quadrant I. In LT (F1 = 3.10, F2 = −1.94), one can observe progress in the quality of research and doctoral training, a low degree of connection to European projects and problems in attracting and retaining international talent (requiring strategic investments in connectivity and partnerships). In BG (F1 = 0.54, F2 = −1.92), there are modest investments in research, but progress in university education, research institutions that often operate in isolation, which require active policies to connect to international networks. These states are at a turning point: scientific performance is present, but without internationalization, it risks stagnation.
Following simplified clustering for the data for 2024, we produced Table 5, which includes the standardized scores of the factors, grouped according to the similarity of performance in innovation, education, and digitalization.
From the analysis of F1–F6, according to Table 5 and through simplified clustering (indicative, K = 3), three clusters are identified:
  • Cluster 1—“Lagging systems”. This cluster includes countries with negative or close to zero values for most factors: BG, RO, and SK. They are countries with isolated potential, but which suffer from a lack of coherence between the pillars of research, education, and applicability. These require integrated interventions: university partnerships, governance reforms, and incentives for applied innovation. BG is a mixed case: a relatively good ecosystem (F1) and good efficiency in applied innovation (F5) but lacking academic excellence (F2). RO is the country with the most unbalanced system, with very low scores on almost all factors. SK has good value on F3 (international education and applied knowledge), but has structural deficiencies in the scientific system and the innovation ecosystem. Cluster 1 is characterized by fragmented innovation ecosystems, modest scientific capacity and academic excellence, and weak collaboration between public education and state institutions (F4 is consistently negative). Although some factors (e.g., applied digitalization and productivity in SK or efficiency in science and applied innovation in BG) indicate potential, the lack of cohesion between the pillars of education, science, and digitalization hinders the transition to an integrated knowledge-based development model.
  • Cluster 2—“Scientific leaders”. This cluster includes countries CZ, HU, and PL with positive or moderate values for F1, F3, and F5, and variable values for F2, F6. These are emerging countries in research and higher education systems, but with challenges in transforming knowledge into economic value (especially PL). CZ is a clear leader on all pillars of research, innovation, and education. HU has a relatively balanced and progressive but modest profile. PL has a strong contrast for high scientific capacity (F2) but lacks applied innovation and digitalization (F5, F6). To perform, these countries need technology transfer policies, incentives for innovative SMEs, and the integration of digitalization into industry. Cluster 2 is distinguished by scientific capacity, academic excellence (F2), and a reasonable degree of internationalization of knowledge (F3). However, low performances in the field of applied innovation (F5) and economic digitalization (F6) indicate a disconnect between research and applicability. In addition, negative scores on F4 suggest a rigid educational governance, unable to support the modernization and connection of scientific ecosystems with the labor market.
  • Cluster 3—“Digital innovators”. This cluster includes countries with extremely positive or negative values, namely EE and LT. These countries have functional innovative ecosystems but are poorly supported by the scientific publication system. EE has a very advanced innovative ecosystem (F1), but without a consolidated scientific capacity (F2). It seems to perform well in the private sector, yet weakly in the academic sector. LT is similar, but with weaker values, with a slight advantage in applied innovation (F5). Increasing academic excellence could be achieved through international partnerships and integrating research into public policies. EE and LT (located in cluster 3) have robust innovation ecosystems (F1), especially in the digital domain, but an insufficiently consolidated scientific base (negative F2). There are also significant differences in institutional governance (F4)—EE has a more coherent and functional system than LT. As a result, this cluster reflects a development model based on accelerated digitalization and service-oriented innovation but risks long-term fragility in the absence of a solid scientific foundation.
This study, like others, shows that countries with high levels of human capital create more fertile environments for the implementation of investments in education, and the effectiveness of investments has significant implications for the development of economies [44]. The result generated by F1 (innovation and digitalization ecosystem) is in agreement with other studies which claim that innovation performance depends on the institutional context [71,72]. Kustec and Zalokar support the existence of a link between the political–geographical distribution of countries in terms of innovation performance and the development of democracies in the countries they are part of [71]; meanwhile, other studies show the uneven progress of curricular reforms and highlight the importance of institutional capacity and external partnerships in innovation, starting from curricular innovation [72]. In the present study, higher values are recorded for F1 in certain countries (EE, LT and CZ), which reveal greater possibilities for innovation and digitalization that produce benefits in the economy, but also lower values (RO and SK), where possibilities are limited or low. The result of this study is also in agreement with the study conducted by Blikhar et al., who claim that the geopolitical context (the war in Ukraine) influenced the level of innovative economic development in Eastern European countries after 2022, leading to a decrease [9], a fact also signaled by the study conducted here through F1 (by reducing collaboration in innovation and R&D). The results generated by the analysis of countries through F2 (scientific capacity and academic excellence) and F3 (applied knowledge and international education) indicates that, with the creation of knowledge-based value, international connections appear among high-tech and industrial corporations, supporting the development of economies [73,74]. Consequently, this study observes that there are countries which have consolidated their positions (CZ, PL and HU), but also countries that still need to make efforts (RO, BG) for development. This result complements previous research and explains how networking, training, applied research, and productive interactions between the university and the local economic environment can be favorable and can contribute to the development of economies [73,74]. According to the results of this study, combined with those of previous studies, it can be seen that research and development collaborations (the partnership between the university and the economic environment) become viable where there is a higher technological maturity and also a well-developed capacity to generate and consolidate knowledge. This is explained by the present study by low values recorded in the F1, F2, or F3 by certain countries, which explains the stagnation or slowdown in the economic development process. According to Audretsch et al., once there is an adequate internal knowledge base, companies can integrate their know-how with external knowledge by developing collaborations with scientific and technological development organizations, they can hire and improve human resources, or they can contribute to the financing of R&D investments [75]. From the study conducted here, this is observed through the close negative values obtained by most of the countries studied through F4 (public education and institutional collaboration between economies), which explains the lack of connectivity between organizations. Furthermore, for F5 (efficiency in science and applied innovation) and F6 (applied digitalization and productivity), the results are not close for Eastern European countries, but they are in agreement with the results of previous studies, which confirms the need to support academic entrepreneurship and strengthen network links with industry and investors [76,77].
The study justifies itself and makes additional contributions to the European Scoreboard, which shows that Europe’s innovative performance “remains strong, but growth has slowed” [78]. It ranks countries by innovation performance through a series of contextual indicators at the level of all actors involved in the economy, with the indicators being grouped into distinct groups (performance and structure of the economy, business and entrepreneurship, innovation profiles, governance and policy framework, environment and demography); meanwhile, the current study ranks countries by the performance of contextual indicators only at the level of HEIs. Both studies show a slowdown at the level of European countries; thus, the European Scoreboard shows EE in the category of strong innovators (above the EU average), followed by LT and CZ as moderate innovators (below the EU average), and with HU, PL, SK, BG, and RO as emerging innovators (performing below 70% of the EU average [78]). This study completes the previous study with the latent elements of HEIs, which can explain the slowdown and presents different values of several contributing factors, leaving their mark on the results obtained for each country. In this study, for the year 2024, the values obtained for the first factor (innovation and digitalization ecosystem) place the countries in similar positions: EE and LT can be seen in the first places, and SK, BG, and RO are in the last places. In addition, other latent factors have been included, namely F2–F5 (scientific capacity and academic excellence, applied knowledge and international education, public education and institutional collaboration, efficiency in science and applied innovation, and applied digitalization and productivity).
The three hypotheses formulated in this study were confirmed based on the empirical results of the PFA and the subsequent clustering. The analysis supported a descriptive understanding of national performance, in addition to the formulation of differentiated policies on a scientific basis, providing a valid framework for supporting functional partnerships in the region.
The PFA demonstrated that innovation and economic development are multidimensional phenomena, effectively captured by the six extracted factors. These factors provide an essential analytical framework for making cross-national comparisons and longitudinal monitoring of progress, identifying the specific strengths and vulnerabilities of each national innovation system, and informing public policy strategies; thus, more targeted interventions can be facilitated, stimulating growth on deficit dimensions and consolidating existing advantages.

5. Conclusions

The present study highlights the latent factors and causal relationships between variables representative of education, research and development, innovation, and technology, which underline the importance of an integrative approach in the development of economic and scientific development policies. Hypothesis (H1), “There are a small number of main factors that can explain the major variance in factor performance at the national level,” was confirmed by analyzing the eigenvalues and the percentage of variance explained by the first main factors. The first six main factors (PF1–PF6) explained a significant percentage of the total variance (83.17%), which indicates that the multidimensional structure of the 19 factors can be reduced to a coherent two-dimensional space. Hypothesis (H2), “Eastern European countries can be grouped into structurally meaningful clusters depending on the scores obtained for the main factors,” was also confirmed. The grouping of countries into clusters has analytical and interpretative significance: there are three coherent clusters, each including countries with similar scores, suggesting distinct factor profiles and national structural typologies. Systemic differences result from different models of knowledge integration (e.g., a cluster with high values at F1 (innovation and digitalization ecosystem) and F6 (applied digitalization and productivity) has low values at F2 (scientific capacity and academic excellence)), which shows a technological approach, but one which is insufficiently scientifically substantiated. Another cluster with good values at F2 and F3 (applied knowledge and international education), but weak values at F5 (efficiency in science and applied innovation) suggests disconnection between science and applicability. Thus, systemic differences between countries pertain to both the level and the internal structure of knowledge ecosystems. Hypothesis (H3), “There is a correlation between the factor profile of a country and the policy directions needed to support its sustainable partnerships in research and education,” was also validated. Each cluster generated a set of differentiated policy recommendations, in accordance with the deficiencies and strengths identified in the factor profile (for example, for cluster 1 “lagging systems”, there is a focus on institutional reform and educational collaboration; for cluster 2, “scientific leaders”, there is a policy to capitalize on applied science; for cluster 3 “digital innovators”, there is scientific consolidation and digital expansion). This correspondence between factor diagnosis and policy intervention confirms that factor analysis can contribute to the definition of adaptive and targeted policies.

6. Practical Implications

The study, based on correlations, highlights several directions of intervention in the countries studied, both for governments and universities: investments should be focused on R&D to increase innovation, promote university-industry collaborations, continue or increase the development of regional clusters, improve access to digital technologies and the use of ICT, support student mobility to increase knowledge exchange, and optimize educational spending from a qualitative, not just quantitative, perspective.
Decision-makers in countries such as: BG, RO and SK, due to low scores on factors F2, F4, F5, F6 (institutional fragmentation, partial digitalization, weak applicability), should focus on institutional coherence and systemic modernization by: initiating National Plans for Science and Education, rethinking doctoral and master’s programs and creating joint BG-RO-SK centers for rural and educational digital transformation.
Decision-makers in countries such as CZ, HU and PL should take into account the low scores on F4, F5, F6 (scientific excellence without systemic applicability) and find solutions for the economic exploitation of knowledge. For these countries, recommendations would be to institutionalize university-industry technology transfer networks, create a framework legislation for applied innovation (tax incentives for patents, academic spin-offs and researcher-entrepreneurs; proof-of-concept funds and PPP partnerships).
In countries like EE and LT, policymakers and stakeholders should focus on the deficit in F2 and partly in F4 (in LT). These factors show us the existence of strong digital innovation, but on a fragile scientific basis. In order to strengthen scientific capital and expand digital governance, recommendations can be: creating a Baltic Fund for Scientific Excellence, exporting Estonian e-government infrastructure through institutional partnerships and expanding the internationalization of education and research (strengthening Baltic university alliances for mobilities, double degrees, collaborative research and integrating Erasmus+ and Horizon Europe programs).

7. Limitations of the Study and Future Research

To optimize the innovation and education ecosystem, it is imperative to allocate resources efficiently and strategically, as well as to develop integrated policies that stimulate intersectoral collaboration, academic mobility, and the adoption of digital technologies. It is well known that governmental abilities to allocate resources differ, as do their policies.
Another limitation of the study is that the investigation was conducted only in Eastern European countries; however, the study can be extended to other countries. Future research should use econometric methods and longitudinal analyses to identify causal mechanisms and the dynamics of interactions between variables, thus facilitating the development of better-informed and context-adapted interventions.

Author Contributions

Conceptualization, C.E.S. and L.J.; methodology, L.J.; software, L.J.; validation, C.E.S. and L.J.; formal analysis, C.E.S.; investigation, C.E.S.; resources, C.E.S.; data curation, C.E.S.; writing—original draft preparation, C.E.S.; writing—review and editing, C.E.S.; visualization, C.E.S.; supervision, L.J.; project administration, C.E.S.; funding acquisition, C.E.S. All authors have read and agreed to the published version of the manuscript.

Funding

This research received no external funding.

Institutional Review Board Statement

Not applicable.

Informed Consent Statement

Not applicable.

Data Availability Statement

The original contributions presented in this study are included in the article material. Further inquiries can be directed to the corresponding author.

Conflicts of Interest

The authors declare no conflicts of interest.

Abbreviations

The following abbreviations are used in this manuscript:
HEIsHigher Education Institutions
PFAPrincipal Factor Analysis
RDIresearch, development, and innovation
R&Dresearch and development
SDGSustainable Development Goals
AR/VRaugmented and virtual reality
AIartificial intelligence
IoTinternet of things

Appendix A

Table A1. Initial data.
Table A1. Initial data.
YearCountryEETETIMGSEGERDGCRDIQSURICTAICTUUIRDCSCDJVSADPFPOCDLPGSSHTM
2022BG4.173.47.219.50.906.891.77150.35400.21.815.41.90.223.6
2022CZ4.365.614.425.92031.589.773.859.148.200.5230.41.40.323.6
2022EE5.374.211.127.51.8016.99382.15048.70.10.61.617.93.40.230.6
2022HU4.652.412.615.51.651.720.188.471.245.648.900.41.729.62.10.359.8
2022LT3.9726261.2019.494.380.453.74400.31.3133.40.117
2022PL4.669.23.919.41.448.230.590.37337.145.900.33.536.82.90.334.1
2022RO3.351.45.729.10.5009072.339.546.500.11.518.95.50.343.5
2022SK7746.4922.20.9016.89071.537.544.600.11.51710.361.5
2023BG4.275.47.819.50.807.489.5824847.600.31.216.22.90.225.3
2023CZ4.568.11525.92032.584.985.572.441.400.51.630.70.90.359.7
2023EE5.36912.327.51.8017.69094.854.141.90.10.91.718.51.90.129.9
2023HU4.255.213.515.51.651.619.783.5834955.700.31.529.72.40.358.8
2023LT470.86.2261.1020.392.89063.941.100.41.313.620.124.5
2023PL4.770.54.519.41.4032.28680.429.337.900.32.7373.30.327.5
2023RO3.653.2629.10.5008683.538.238.1001.219.83.30.343.8
2023SK4.347.610.322.20.9016.887.983.728.238.600.2117.31.10.361.4
2024BG4.374820.40.805.394.384.247.351.70.010.3115.92.90.229.5
2024CZ5.169.115.625.52031.395.281.67254.40.010.51.430.70.40.356.4
2024EE5.971.411.428.11.8016.599.596.357.4500.090.91.217.80.20.125.1
2024HU556.513.221.61.450.818.196.878.255.148.10.020.31.329.31.60.256.5
2024LT4.871.97.325.81017.696.493.768.852.10.020.41.113.31.30.0623.4
2024PL4.9746.719.61.544.931.498.892.239.146.10.010.32.336.71.70.330.5
2024RO3.355.3629.30.509.296.979.83737.50.0070.051.219.72.80.341.7
2024SK4.352.511.921.4109.388.17827.2430.0070.21.116.31.40.257.3
Table A2. Factor coordinates of the variables, based on correlations (factor loadings).
Table A2. Factor coordinates of the variables, based on correlations (factor loadings).
FactorF1F2F3F4F5F6F7F8F9F10F11F12F13F14F15F16F17F18F19
Year0.3806−0.10270.3278−0.6416−0.49490.0066−0.0496−0.0052−0.18290.0829−0.01620.1712−0.069209−0.045300−0.004785−0.000407−0.017105−0.030825−0.005521
EE−0.27890.00140.33990.28330.1713−0.75860.20170.02520.00900.2577−0.07920.0390−0.013400−0.073957−0.002906−0.0156700.001362−0.0032180.001287
TE0.67510.0196−0.6082−0.09200.1118−0.0626−0.20710.1209−0.19050.0811−0.10350.04720.1730550.028974−0.050927−0.0445770.009158−0.0039910.015723
TIM0.35160.51900.67390.14970.15430.2475−0.0362−0.0368−0.0950−0.0902−0.08510.0017−0.005610−0.096517−0.056244−0.039519−0.0531090.0361930.000893
GSE0.3578−0.52720.10010.4520−0.29700.0483−0.1590−0.48210.08860.04620.11580.0035−0.048364−0.005558−0.058087−0.0425600.009971−0.0147480.015553
GERD0.56560.76390.02230.26320.01040.07260.0237−0.0198−0.0106−0.0437−0.0874−0.0238−0.0458380.005083−0.044469−0.0258120.063175−0.025525−0.027527
GCRDI−0.21900.6390−0.1119−0.47530.08200.10960.3565−0.09070.37060.01990.0138−0.03650.064602−0.063061−0.047253−0.024000−0.011259−0.0280840.009537
QSUR0.26440.7994−0.18740.1324−0.2559−0.2582−0.20990.04420.1025−0.0549−0.1188−0.0403−0.1163070.116733−0.0250780.032723−0.042073−0.0116280.014359
ICTA0.5360−0.2302−0.1007−0.4325−0.0394−0.38440.1241−0.49570.0080−0.1841−0.0950−0.06090.0328480.0327020.049722−0.010268−0.0009160.023734−0.009261
ICTU0.7360−0.17830.0418−0.1711−0.44370.05130.08190.24080.10970.29050.0438−0.1734−0.0164310.033220−0.005989−0.022036−0.0030740.029685−0.007451
UIRDC0.71920.16240.13180.04920.28920.0226−0.4638−0.14580.26080.16560.03640.07780.091106−0.0261960.0354500.050448−0.017053−0.000830−0.013067
SCD0.31420.27830.0560−0.37220.75040.03010.0166−0.1431−0.18850.15510.1169−0.0457−0.1290650.071932−0.015008−0.0032410.005871−0.0012700.006959
JVSAD0.6912−0.09500.02590.2849−0.04780.11890.6060−0.1130−0.12450.04730.00280.03780.0668550.037880−0.0652560.074546−0.012410−0.0020280.001016
PF0.85890.2813−0.01050.27080.02080.10560.23030.0830−0.0211−0.02960.02110.0086−0.014964−0.0324140.183743−0.027465−0.007843−0.0183550.012068
PO−0.19370.5852−0.69160.1588−0.1169−0.16510.1201−0.0368−0.03640.00150.19530.1256−0.0025670.030002−0.006621−0.036907−0.0401980.017191−0.017410
CD−0.17170.8647−0.2440−0.0900−0.29710.0577−0.0446−0.1737−0.06070.09640.00520.0444−0.023694−0.0965120.0220030.0368350.0546830.0389530.015397
LPG−0.4502−0.3771−0.55350.09850.11080.40420.1026−0.20070.06120.2182−0.22100.0581−0.0856770.0137190.030230−0.013662−0.0187890.005227−0.006269
SS−0.70340.47680.08580.0794−0.19520.0656−0.1244−0.2566−0.27660.13770.0099−0.17630.103804−0.0090320.0372590.007712−0.027771−0.026951−0.006529
HTM−0.46240.36610.7406−0.0179−0.10890.10640.0780−0.06430.06760.0734−0.01770.11370.0823740.1937650.034676−0.0274090.0198160.0120060.003731
Table A3. Factor coordinates of cases, based on correlations (factor scores matrix). Labelling variable: country.
Table A3. Factor coordinates of cases, based on correlations (factor scores matrix). Labelling variable: country.
FactorsF1F2F3F4F5F6F7F8F9F10F11F12F13F14F15F16F17F18F19Country
1−0.59974−0.95375−1.25885−0.414172.64515−0.40799−0.550900.38033−0.78847−0.707390.7219470.0446300.5027270.072091−0.1650690.1188020.0698910.117656−0.084347BG
20.704792.34200−0.436391.831620.65744−0.01658−1.44150−0.65334−0.44650−0.811680.159046−0.510387−0.499197−0.753353−0.135320−0.013764−0.157255−0.0074440.013752CZ
32.18368−0.39670−0.886541.987810.935810.817491.51699−0.88778−0.568850.18717−0.607573−0.1350870.2960600.467653−0.4815230.139188−0.026286−0.0606140.007968EE
4−1.975292.940800.71243−0.307151.353220.865020.872690.150520.74910−0.67019−0.214125−0.1971310.267896−0.0638070.4878230.1341200.095619−0.044062−0.041414HU
50.69795−2.03394−1.722910.582010.91220−0.33375−0.726830.069381.11812−0.64404−0.794480−0.213989−0.3058330.151337−0.175195−0.1585930.179395−0.0192200.024548LT
6−2.063432.88378−3.61011−0.03623−0.16250−0.631490.70720−0.299040.41080−0.191000.7739890.4275820.1455050.3226520.006958−0.174960−0.103093−0.1251160.073103PL
7−3.15577−2.56473−0.699420.841550.771251.392310.08745−1.787850.125350.578590.1198980.053933−0.4561120.1906180.414826−0.139317−0.0034950.148783−0.007215RO
8−3.23531−0.162742.522551.679960.98892−3.726000.862870.091250.048930.71609−0.1551630.063148−0.022688−0.111838−0.004089−0.013374−0.002922−0.003160−0.001355SK
9−0.15734−1.60603−0.82286−0.714501.052710.35286−0.487481.17022−0.569720.29821−0.379304−0.0164420.445701−0.3520500.160895−0.058576−0.0964870.0009850.128627BG
101.077522.579221.447981.65506−1.053400.62168−2.025240.395610.356280.54993−0.0701190.2893870.6006310.1207680.004654−0.1130500.0351250.0247300.004484CZ
113.72473−0.351000.023531.98265−0.792950.766931.766790.761490.260290.216200.1862970.3288600.047060−0.2491900.123392−0.059438−0.1945130.127508−0.049704EE
12−1.320172.897651.16604−1.223661.284821.564570.511720.893670.335621.109440.108972−0.351294−0.4757810.001511−0.2502760.037043−0.050361−0.120033−0.031704HU
131.64259−1.80602−0.697860.08218−0.35496−0.51381−1.078270.812491.40866−0.07244−0.051397−0.0010130.0938200.0661120.149553−0.016476−0.049996−0.088613−0.091919LT
14−1.716991.43211−2.929330.73585−1.98848−0.23183−0.216351.12353−0.846160.17751−0.4169300.430533−0.461518−0.0413090.1566350.3142020.1552910.032002−0.010770PL
15−2.63283−2.667170.413140.48491−1.328221.08508−0.33990−0.203770.227400.698220.640551−0.1871290.288048−0.402285−0.3396130.0304220.243367−0.0266890.017302RO
16−2.06739−0.620312.138980.24242−1.461950.303380.159491.00690−0.09928−0.832530.104249−0.8096400.0527220.5720050.1204330.082803−0.1048090.0912290.069129SK
170.53894−1.92350−0.21085−1.859140.871450.19149−0.139690.32517−1.046470.51693−0.4657190.1164350.087469−0.1278410.245363−0.111658−0.073016−0.067906−0.024094BG
182.276282.573171.86678−0.414620.12980−0.24097−1.67257−1.31926−0.887060.21352−0.0179220.213994−0.0992870.4573780.133451−0.0197250.061859−0.006826−0.004490CZ
195.17440−0.652910.77880−0.09605−0.44173−0.504131.40357−0.28828−0.40690−0.221550.529696−0.284089−0.120848−0.1534970.338959−0.0377770.264094−0.1099220.039312EE
200.244861.434521.49553−1.946320.022350.197510.70983−1.149360.95483−0.49770−0.3629860.6793890.130426−0.382177−0.1923730.1319740.0288110.1257690.057556HU
213.09945−1.943120.04916−1.474160.46363−0.77641−0.766680.324620.670750.454260.5210900.130713−0.4805310.267254−0.1252620.241719−0.1104400.0585310.045639LT
220.572572.11624−1.85249−2.32972−1.83514−1.122830.57898−0.41444−0.135570.38875−0.238273−0.7433640.163667−0.045598−0.185764−0.1951850.0109270.153321−0.054239PL
23−1.59430−2.567570.37618−0.71156−2.02253−0.18280−0.20921−1.55717−0.16489−0.42402−0.1139040.0229180.220116−0.1118270.0297700.158760−0.204132−0.173743−0.047098RO
24−1.41920−0.950002.13651−0.57874−0.646900.530280.477041.05509−0.70625−1.032280.0221600.648044−0.4200530.105392−0.318228−0.2771400.032426−0.027166−0.033071SK
Table A4. Eigenvectors of correlation matrix.
Table A4. Eigenvectors of correlation matrix.
FactorF1F2F3F4F5F6F7F8F9F10F11F12F13F14F15F16F17F18F19
Year0.170096−0.0509490.205748−0.507043−0.4063520.006231−0.049819−0.005923−0.2708830.140211−0.0388390.449413−0.205375−0.147843−0.019529−0.002804−0.135819−0.332825−0.105861
EE−0.1246490.0007150.2133670.2238530.140625−0.7188540.2027040.0287740.0133980.435920−0.1901310.102336−0.039765−0.241369−0.011860−0.1078960.010812−0.0347410.024686
TE0.3017410.009721−0.381713−0.0726730.091844−0.059334−0.2080880.138097−0.2821430.137115−0.2483810.1238930.5135380.094562−0.207834−0.3069300.072715−0.0430910.301478
TIM0.1571530.2576060.4229950.1183280.1267420.234483−0.036418−0.042036−0.140720−0.152519−0.2042730.004530−0.016647−0.314995−0.229532−0.272106−0.4217070.3907790.017131
GSE0.159912−0.2616480.0628230.357153−0.2439010.045787−0.159775−0.5506400.1312140.0781680.2778250.009144−0.143520−0.018139−0.237051−0.2930390.079176−0.1592370.298214
GERD0.2527900.3791450.0139680.2079770.0085280.0687690.023799−0.022668−0.015713−0.073871−0.209660−0.062413−0.1360240.016589−0.181478−0.1777250.501636−0.275600−0.527794
GCRDI−0.0978740.317153−0.070203−0.3756270.0672970.1038090.358180−0.1035720.5487180.0336760.033151−0.0958310.191704−0.205809−0.192840−0.165246−0.089398−0.3032310.182852
QSUR0.1181730.396758−0.1175990.104631−0.210160−0.244622−0.2108540.0504970.151795−0.092923−0.285071−0.105881−0.3451400.380973−0.1023410.225310−0.334077−0.1255520.275318
ICTA0.239533−0.114272−0.063226−0.341800−0.032350−0.3642830.124680−0.5661850.011912−0.311367−0.227954−0.1597300.0974750.1067260.202915−0.070697−0.0072730.256259−0.177561
ICTU0.328941−0.0884950.026243−0.135250−0.3643180.0486490.0823160.2750990.1624590.4913680.105005−0.455071−0.0487580.108417−0.024442−0.151726−0.0244070.320510−0.142873
UIRDC0.3214240.0806140.0827520.0388820.2374660.021422−0.466009−0.1665510.3861210.2801060.0874350.2042390.270355−0.0854940.1446700.347354−0.135405−0.008957−0.250536
SCD0.1404300.1381190.035127−0.2941010.6161590.0285160.016632−0.163428−0.2791200.2622550.280572−0.120018−0.3829980.234761−0.061246−0.0223140.046615−0.0137100.133424
JVSAD0.308893−0.0471600.0162520.225177−0.0392570.1126800.608838−0.129041−0.1842880.0799130.0066280.0992000.1983910.123625−0.2663070.513279−0.098541−0.0218980.019474
PF0.3838660.139597−0.0065980.2140340.0170900.1000840.2314260.094788−0.031177−0.0500760.0506810.022447−0.044406−0.1057880.749852−0.189107−0.062273−0.1981840.231397
PO−0.0865540.290438−0.4341050.125509−0.095964−0.1564360.120630−0.042089−0.0539580.0026010.4685880.329746−0.0076170.097916−0.027020−0.254120−0.3191900.185616−0.333821
CD−0.0767370.429147−0.153136−0.071124−0.2439800.054710−0.044802−0.198427−0.0898940.1629810.0125710.116645−0.070310−0.3149790.0897940.2536230.4342060.4205840.295225
LPG−0.201204−0.187143−0.3473790.0778690.0909820.3830300.103096−0.2292400.0905630.369041−0.5304090.152508−0.2542440.0447730.123368−0.094069−0.1491920.056433−0.120202
SS−0.3143630.2366560.0538250.062776−0.1602910.062182−0.125013−0.293061−0.4096010.2328620.023792−0.4626270.308036−0.0294780.1520550.053099−0.220511−0.290995−0.125191
HTM−0.2066390.1816840.464835−0.014138−0.0893970.1008330.078330−0.0734400.1000320.124130−0.0425780.2985410.2444430.6323790.141512−0.1887200.1573500.1296320.071541
Table A5. Variable contributions, based on correlations.
Table A5. Variable contributions, based on correlations.
FactorF1F2F3F4F5F6F7F8F9F10F11F12F13F14F15F16F17F18F19
Year0.0289330.0025960.0423320.2570930.1651220.0000390.0024820.0000350.0733770.0196590.0015080.2019720.0421790.0218580.0003810.0000080.0184470.1107730.011207
EE0.0155370.0000010.0455250.0501100.0197750.5167510.0410890.0008280.0001800.1900260.0361500.0104730.0015810.0582590.0001410.0116420.0001170.0012070.000609
TE0.0910480.0000950.1457040.0052810.0084350.0035210.0433010.0190710.0796040.0188000.0616930.0153490.2637210.0089420.0431950.0942060.0052880.0018570.090889
TIM0.0246970.0663610.1789240.0140020.0160640.0549820.0013260.0017670.0198020.0232620.0417270.0000210.0002770.0992220.0526850.0740420.1778370.1527080.000293
GSE0.0255720.0684600.0039470.1275580.0594880.0020960.0255280.3032050.0172170.0061100.0771870.0000840.0205980.0003290.0561930.0858720.0062690.0253560.088932
GERD0.0639030.1437510.0001950.0432540.0000730.0047290.0005660.0005140.0002470.0054570.0439570.0038950.0185030.0002750.0329340.0315860.2516380.0759550.278567
GCRDI0.0095790.1005860.0049290.1410960.0045290.0107760.1282930.0107270.3010910.0011340.0010990.0091840.0367500.0423570.0371870.0273060.0079920.0919490.033435
QSUR0.0139650.1574170.0138300.0109480.0441670.0598400.0444600.0025500.0230420.0086350.0812650.0112110.1191220.1451410.0104740.0507650.1116080.0157630.075800
ICTA0.0573760.0130580.0039980.1168270.0010470.1327020.0155450.3205650.0001420.0969500.0519630.0255140.0095010.0113910.0411750.0049980.0000530.0656690.031528
ICTU0.1082020.0078310.0006890.0182920.1327280.0023670.0067760.0756800.0263930.2414420.0110260.2070890.0023770.0117540.0005970.0230210.0005960.1027270.020413
UIRDC0.1033130.0064990.0068480.0015120.0563900.0004590.2171650.0277390.1490900.0784590.0076450.0417130.0730920.0073090.0209290.1206550.0183350.0000800.062768
SCD0.0197210.0190770.0012340.0864960.3796510.0008130.0002770.0267090.0779080.0687780.0787210.0144040.1466880.0551130.0037510.0004980.0021730.0001880.017802
JVSAD0.0954150.0022240.0002640.0507050.0015410.0126970.3706830.0166520.0339620.0063860.0000440.0098410.0393590.0152830.0709200.2634550.0097100.0004800.000379
PF0.1473530.0194870.0000440.0458110.0002920.0100170.0535580.0089850.0009720.0025080.0025690.0005040.0019720.0111910.5622780.0357610.0038780.0392770.053545
PO0.0074920.0843540.1884470.0157530.0092090.0244720.0145520.0017710.0029110.0000070.2195750.1087320.0000580.0095870.0007300.0645770.1018820.0344530.111436
CD0.0058890.1841670.0234500.0050590.0595260.0029930.0020070.0393730.0080810.0265630.0001580.0136060.0049440.0992120.0080630.0643250.1885350.1768910.087158
LPG0.0404830.0350220.1206720.0060640.0082780.1467120.0106290.0525510.0082020.1361910.2813340.0232590.0646400.0020050.0152200.0088490.0222580.0031850.014448
SS0.0988240.0560060.0028970.0039410.0256930.0038670.0156280.0858850.1677730.0542250.0005660.2140240.0948860.0008690.0231210.0028200.0486250.0846780.015673
HTM0.0427000.0330090.2160710.0002000.0079920.0101670.0061360.0053930.0100060.0154080.0018130.0891270.0597520.3999030.0200260.0356150.0247590.0168040.005118

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Figure 1. Stages covered in PFA.
Figure 1. Stages covered in PFA.
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Figure 2. Logical scheme for applying Principal Factor Analysis (PFA).
Figure 2. Logical scheme for applying Principal Factor Analysis (PFA).
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Figure 3. Distribution of countries by F1 and F2, in 2024.
Figure 3. Distribution of countries by F1 and F2, in 2024.
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Table 1. The country list.
Table 1. The country list.
No.Abrev. CountriesName of Countries
1BGBulgaria
2CZCzech Republic
3EEEstonia
4LTLithuania
5HUHungary
6PLPoland
7RORomania
8SKSlovakia
Table 2. The situation of the initial indicators.
Table 2. The situation of the initial indicators.
No.IndicatorsUMAbv.
1Expenditure on education% GDPEE
2Tertiary enrolment% grossTE
3Graduates in science and engineering%GSE
4Tertiary inbound mobility%TIM
5Gross expenditure on R&D% GDPGERD
6Global corporate R&D investors, top 3mn USDGCRDI
7QS University Ranking, top 3 *%QSUR
8ICT access%ICTA
9ICT use%ICTU
10University–industry R&D collaboration%UIRDC
11State of cluster development%SCD
12Joint venture/strategic alliance dealsbn PPPS$ GDPJVSAD
13Patent familiesbn PPP$ GDPPF
14Patent by originbn PPP$ GDPPO
15Scientific and technical articlebn PPP$ GDPSTA
16Citable documents H-index%CD
17Labor productivity growth%LPG
18Software spending% GDPSS
19High-tech manufacturing%HTM
Source: https://www.wipo.int/gii-ranking (accessed 17 June 2025). * Index obtained from the average score of the first three universities listed in the QS ranking.
Table 3. Eigenvalues of correlation matrix and related statistics.
Table 3. Eigenvalues of correlation matrix and related statistics.
No.Eigenvalue% TotalCumulativeCumulative %Comment
15.00645726.349775.0064626.3498
24.05976221.367179.0662247.7169
32.53839213.3599611.6046161.0769
41.6013248.4280213.2059469.5049
51.4830367.8054514.6889777.3104
61.1137115.8616315.8026883.1720Cumulative variance exceeds 80%
70.9905725.2135416.7932688.3856
80.7664784.0340917.5597392.4197Cumulative variance exceeds 90%
90.4560942.4004918.0158394.8201
100.3496101.8400518.3654496.6602Cumulative variance exceeds 95%
110.1736760.9140818.5391197.5743
120.1451460.7639318.6842698.3382
130.1135600.5976818.7978298.9359
140.0938850.4941318.8917099.4300Cumulative variance approaches 99%
150.0600440.3160218.9517599.7460
160.0210930.1110218.9728499.8571
170.0158610.0834818.9887099.9405
180.0085780.0451518.9972899.9857
190.0027200.0143219.00000100.0000
Table 4. Correlation matrix.
Table 4. Correlation matrix.
EETETIMGSEGERDGCRDIQSURICTAICTUUIRDCSCDJVSADPFPOCDLPGSSHTM
EE1
TE−0.36751
TIM−0.0048−0.15131
GSE−0.06460.0390−0.04081
GERD−0.12790.35070.6806−0.07971
GCRDI−0.0997−0.16530.1090−0.63660.24981
QSUR−0.00090.30170.3007−0.21250.77980.30611
ICTA−0.05430.3872−0.13220.2962080.0097−0.00640.00341
ICTU−0.26850.43210.05990.31820.2197−0.17170.11730.34891
UIRDC−0.16150.48760.46200.29280.5204−0.11540.31070.27500.35851
SCD−0.04450.29420.353153−0.34110.30020.28780.01980.2504−0.07480.45381
JVSAD−0.07480.31250.2627450.39550.4141−0.1581−0.02690.34090.52020.20850.10421
PF−0.20060.51330.4960430.19370.7756−0.06270.40230.23560.55690.56060.25600.77111
PO−0.01900.2492−0.27996−0.32900.33360.42030.5848−0.1616−0.2728−0.2100−0.05468−0.09030.05781
CD−0.13500.02090.188954−0.40160.53340.62100.7181−0.1814−0.1751−0.052620.03045−0.21000.05360.72281
LPG−0.2305−0.0262−0.598860.0865−0.4826−0.0048−0.4377−0.2116−0.3199−0.3891−0.1831−0.1377−0.41340.1691−0.08321
SS0.1582−0.48650.081021−0.2790−0.01320.29460.1950−0.4490−0.5572−0.4238−0.1550−0.4964−0.49000.36490.63600.13401
HTM0.3012−0.77670.500947−0.23440.03180.31090.0212−0.4010−0.3129−0.1923−0.0689−0.2603−0.2890−0.19020.2517−0.26230.57511
Table 5. Distribution of countries by clusters.
Table 5. Distribution of countries by clusters.
Clusters/FactorsCountries
Cluster 1—“Lagging systems”BGROSK
F1—Innovation and digitalization ecosystem0.54−1.59−1.42
F2—Scientific capacity and academic excellence−1.92−2.57−0.95
F3—Applied knowledge and international education−0.210.382.14
F4—Public education and institutional collaboration−1.86−0.71−0.58
F5—Efficiency in science and applied innovation0.87−2.02−0.65
F6—Applied digitalization and productivity0.19−0.180.53
Cluster 2—“Scientific leaders”CZHUPL
F1—Innovation and digitalization ecosystem2.280.240.57
F2—Scientific capacity and academic excellence2.571.432.12
F3—Applied knowledge and international education1.871.50−1.85
F4—Public education and institutional collaboration−0.41−1.95−2.33
F5—Efficiency in science and applied innovation0.130.02−1.83
F6—Applied digitalization and productivity−0.240.20−1.12
Cluster 3—“Digital innovators”EELT
F1—Innovation and digitalization ecosystem5.173.10
F2—Scientific capacity and academic excellence−0.65−1.94
F3—Applied knowledge and international education0.780.05
F4—Public education and institutional collaboration−0.10−1.47
F5—Efficiency in science and applied innovation−0.440.46
F6—Applied digitalization and productivity−0.50−0.78
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Stoenoiu, C.E.; Jäntschi, L. Latent Dimensions of Innovation and Development in Selected Eastern European Countries: A Perspective Based on an Analysis of the Main Factors. World 2025, 6, 161. https://doi.org/10.3390/world6040161

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Stoenoiu CE, Jäntschi L. Latent Dimensions of Innovation and Development in Selected Eastern European Countries: A Perspective Based on an Analysis of the Main Factors. World. 2025; 6(4):161. https://doi.org/10.3390/world6040161

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Stoenoiu, Carmen Elena, and Lorentz Jäntschi. 2025. "Latent Dimensions of Innovation and Development in Selected Eastern European Countries: A Perspective Based on an Analysis of the Main Factors" World 6, no. 4: 161. https://doi.org/10.3390/world6040161

APA Style

Stoenoiu, C. E., & Jäntschi, L. (2025). Latent Dimensions of Innovation and Development in Selected Eastern European Countries: A Perspective Based on an Analysis of the Main Factors. World, 6(4), 161. https://doi.org/10.3390/world6040161

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