The Role of Public Policy in Advancing Social Innovation and Inclusion: EU and Romania’s Comparison
Abstract
1. Introduction
2. Literature Review and Background of Social Innovation
2.1. The Concepts of Social Policy and Social Innovation
2.2. Measuring the Level of Social Innovation at the European Level
- ⮚
- innovation leaders.
- ⮚
- strong innovators.
- ⮚
- moderate innovators.
- ⮚
- emerging innovators.
3. Materials and Methods
3.1. Research Design
3.2. Data Sources and Sample
3.3. Operational Definitions of Variables
- Social innovation category (SI): It is measured through the EIS. It reflects a country’s ability to generate innovative social solutions addressing societal challenges.
- Social Protection (SP): It is defined as total social protection expenditure as a percentage of GDP, based on the ESSPROS methodology (European System of Integrated Social Protection Statistics).
- Unemployment (UN): It is represented by the annual unemployment rate (%) of the active labor force.
- Social Exclusion (SE): It is defined as the share of the population at risk of poverty or social exclusion (AROPE), a standard Eurostat indicator combining low income, material deprivation, and low work intensity.
3.4. Analytical Procedures and Justification
- Descriptive Statistics and Correlation Analysis—to assess distributional characteristics and preliminary relationships among variables.
- Multiple Linear Regression (MLR)—to estimate the combined and individual effects of SP, UN, and SE on SI. This method was selected because it allows testing of continuous predictors’ influence while controlling for others.
- Assumption Testing—including normality, linearity, homoscedasticity, and independence of residuals. The Durbin–Watson statistic (2.129) confirmed the absence of autocorrelation.
- Multicollinearity Diagnostics—Variance Inflation Factors (VIFs) and tolerance values were calculated to identify intercorrelations among predictors. Severe multicollinearity was detected (VIF > 10) for SE2019, SE2020, SP2019, and SP2020.
- Model Refinement and PCA Application—Highly collinear predictors (e.g., SE2019, SE2020, SP2020) were removed, and Principal Component Analysis (PCA) was applied to combine correlated variables into fewer orthogonal components. PCA helped preserve information while reducing redundancy, improving the stability and interpretability of regression coefficients.
3.5. Validity and Statistical Assumptions
- The significance was set at p < 0.05 for all tests.
- Residual analysis confirmed normality and homoscedasticity.
- Multicollinearity was reduced below critical levels (VIF < 10) after PCA and predictor selection.
3.6. Summary of Methodological Justifications
- Preliminary comparative analysis of the European context regarding the social protection system and the one in Romania;
- Analysis of the evolution of ESSPROS social protection revenues and expenses in Romania, in the period 2015–2020,
- Statistical analysis of the share of social benefit expenses by function in the total of social benefits expenses in Romania compared to all member states of EU,
- Statistical analysis of the share of social protection expenses in GDP in Romania compared to all EU member states,
- Statistical analysis of the share of social benefit expenses by function in GDP in Romania compared to all EU member states,
- Whether social innovation can reduce the costs of social exclusion and unemployment, thereby improving the quality of life for citizens.
- SPSS analysis to identify the optimal model for explaining the relationship between the dependent variable (social innovation level) and the independent variables (the share of social protection expenditures as a percentage of GDP, unemployment rate, and social exclusion). Analyses will include both linear regression and ANOVA modeling for the EU and Romanian levels using SPSS software.
- The share of social protection expenditures as a percentage of GDP: Studies in this area investigate how innovative approaches and practices in addressing social challenges (e.g., new welfare policies, community-driven initiatives, or digital tools) influence the allocation of social protection funds (Çelikay, 2023; Kentikelenis & Stubbs, 2023; Silalahi & Walsh, 2023; Banerjee et al., 2024; Cattaneo, 2024; Cardoso et al., 2025).
- Unemployment Rate: Research often explores how fluctuations in unemployment levels impact government spending on social safety nets, as higher unemployment may increase the demand for unemployment benefits and related support (Çelikay, 2023; Silalahi & Walsh, 2023; Ganong et al., 2024; Haan & Prowse, 2024; Moffitt, 2024).
- Social Exclusion: Studies focus on how social marginalization, inequality, and exclusion from economic and social participation affect social protection policies and spending, highlighting the need for targeted interventions to reduce disparities (J. Y. Lee, 2023; Simangunsong & Sihotang, 2023; Bocean & Vărzaru, 2024; Fluit et al., 2024; Rustamova et al., 2025).
- EU Government Expenditure Data: A comprehensive analysis of social protection expenditures as a share of GDP in the EU reveals key trends. In 2022, the EU allocated 19.5% of its GDP to social protection, with a substantial portion dedicated to unemployment and social exclusion measures. The distribution varied due to factors like economic recovery post-pandemic and government strategies for mitigating energy price shocks. This is relevant for assessing the impact of macroeconomic conditions on social protection spending (European Commission, 2024).
- Cross-Country Comparisons in the Euro Area: A study from the European Central Bank examines how social protection expenditures vary across eurozone countries. Pensions and unemployment benefits form the largest components of these expenditures, reflecting diverse approaches to mitigating income inequality. It also explores how policy decisions and economic cycles affect spending levels, providing a valuable lens for understanding regional variations in expenditure and social outcomes (Rodríguez-Vives & Kezbere, 2019; Goniewicz et al., 2023; Hemerijck et al., 2023; Kentikelenis & Stubbs, 2023).
- Historical Data and Trends in Social Spending: an analysis by Our World in Data tracks the evolution of social spending globally, showing its influence on reducing poverty and inequality. This data can inform studies on the relationship between social innovation and the effectiveness of expenditures. It emphasizes that social spending supports long-term growth and social stability but varies greatly by country depending on fiscal policies and societal needs (Castellacci, 2023; Ortiz-Ospina & Roser, 2023; Wenjuan & Zhao, 2023; Song & Zhao, 2024; Mbodj & Laye, 2025).
- When testing the basic assumptions of multiple regressions, for the model to be valid, certain fundamental conditions must be met:
- Linearity of the relationship: the relationship between the dependent variable and the independent variables must be linear.
- Normality of residuals: The residuals should follow a normal distribution. We verified this by statistical tests using Q-Q plots.
- Homoscedasticity: the variability of residuals should remain constant across the range of predicted values.
- Independence of residuals: we verified the residuals autocorrelation with the Durbin–Watson test.
- Absence of multicollinearity: Independent variables should not be highly correlated with each other. The Variance Inflation Factor (VIF) or tolerance statistics we used to detect multicollinearity.
- Analyzing the significance of regression coefficients, using the t-test, we verified whether each regression coefficient (the parameters associated with the independent variables) is significantly different from zero. A significant coefficient indicates that the corresponding variable has a meaningful impact on the dependent variable.
- Evaluating the overall quality of the model
- Coefficient of determination (R2): This measures the proportion of the variance in the dependent variable explained by the independent variables. A higher R2 suggests a better model, but it must be interpreted cautiously, particularly to avoid over fitting.
- F-test: This test evaluates the overall significance of the model. If the F-test is significant, it indicates that the model explains a significant portion of the variance in the dependent variable.
- ANOVA is used to compare the total variance and the variance explained by the model. It tests whether there are statistically significant differences between group means, and in the context of regression, it determines whether the independent variables have a significant effect on the dependent variable.
- F-values and p-values are calculated to assess whether the variations between groups are statistically significant.
- Sum of Squares of Residuals (SSR) and Sum of Squares Explained (SSE) are analyzed to evaluate how well the model fits the data.
- Predictive validation—This can be achieved by splitting the dataset into two subsets: one for training the model and the other for testing it. Validating the model on new data ensures that it is not overfitted and that it can be generalized.
- Interpreting results in sense of practical relevance of the results must also be evaluated (not just statistical significance). A coefficient may be statistically significant, but its real-world impact on the studied phenomenon could be negligible and ensure that the variables included in the model are relevant to the research hypothesis and are selected based on solid theoretical foundations.
- Limitations of the model, such as the sample size, potential omitted variables, assumptions that may be violated, or data that may be influenced by uncontrolled factors, are considered.
- R (Correlation Coefficient) R = 0.868 indicates a strong positive correlation between the independent variables (predictors) and the dependent variable (SI). The predictors collectively explain a significant portion of the variance in SI.
- R Square (Coefficient of Determination) R2 = 0.754 means that 75.4% of the variance in SI is explained by the independent variables in the model. This indicates a good fit for the model.
- Adjusted R Square (Adjusted R2 = 0.680) accounts for the number of predictors in the model and penalizes for overfitting. With 68.0% of the variance explained after adjusting, the model still fits well.
- Standard Error of the Estimate Std. Error = 0.590 measures the average distance that observed values fall from the regression line. A smaller standard error suggests a more precise model.
- Durbin–Watson Statistic (Durbin–Watson = 2.129) value tests for autocorrelation in the residuals, and with a value of 2.129, there is no significant autocorrelation, which is good for the validity of the model.
- Assess Predictor Significance: Examine the coefficient table to determine which independent variables significantly contribute to explaining SI. And look at the p-values for each predictor and retain variables with p < 0.05.
- Check Multicollinearity: Use variance inflation factors (VIFs) to ensure there is no multicollinearity among predictors.
- Residual Analysis: Verify that residuals are normally distributed and homoscedastic (equal variance).
- Interpretation: Based on the coefficients and p-values, discuss which variables have the strongest relationship with SI.
- Regression Sum of Squares (SS Regression): Sum of Squares = 21.340. This represents the amount of variance in the dependent variable (SI) that is explained by the independent variables in the model.
- Residual Sum of Squares (SS Residual): Sum of Squares = 6.956. This is the amount of variance in the dependent variable (SI) that is not explained by the model.
- Total Sum of Squares (SS Total): Sum of Squares = 28.296. This is the total variance in the dependent variable, which is the sum of the Regression SS and Residual.
- Degrees of Freedom (df): Regression df = 6 (corresponds to the number of predictors in the model), residual df = 20 (total observations 27 minus the number of parameters estimated) and total df = 26 (total observations minus 1).
- Mean Square: Regression Mean Square = 3.557 and Residual Mean Square = 0.348.
- F-Statistic: F = 10.226: The F-statistic tests whether the independent variables collectively explain a significant portion of the variance in the dependent variable.
- Significance (p-value): Sig. = 0.000: A p-value less than 0.05 indicates that the model is statistically significant. This means that at least one of the predictors has a significant relationship with the dependent variable (SI).
- Unstandardized Coefficients (B)—these represent the change in the dependent variable (SI) for a one-unit increase in the independent variable, holding all other variables constant. BB values indicate the direction and magnitude of the relationship.
- Standardized Coefficients (Beta)—these allow for comparison between variables by standardizing the coefficients. Larger absolute values indicate stronger contributions to the model.
- Significance (Sig.)—pp.-values indicate whether the effect of the independent variable on SI is statistically significant (p < 0.05).
- UN2019: B = −0.083, p = 0.045, which shows that UN2019 has a negative relationship with SI. And β= − 0.135 with weak influence.
- UN2020: B = 0.192, p = 0.001, so UN2020 has a positive, significant relationship with SI and β = 0.746 has a strong positive contribution.
- SE2019: B = 0.674, p = 0.021, thus SE2019 shows a positive relationship with SI, and β = 0.918 with high beta value suggests influence, but results are unreliable due to multicollinearity.
- SE2020: B = −0.439, p = 0.040, indicating that SE2020 has a negative relationship with SI, and β = − 0.628, with non-significance and unreliability due to multicollinearity.
- SP2019: B = 0.586, p = 0.000, showing that SP2019 has a positive, highly significant relationship with SI and β = 3.415 with the strongest contribution to the model.
- SP2020: B = −0.456, p = 0.001, so SP2020 has a negative, significant relationship with SI and β = −2.818 with large negative contribution.
- Tolerance: This indicates how much an independent variable is explained by other predictors. A tolerance value close to 0 suggests multicollinearity.
- VIF (Variance Inflation Factor): This measures the extent of multicollinearity and several predictors (e.g., SE2019, SE2020, SP%GDP2019, SP%GDP2020) have very low tolerance values (<0.05) and extremely high VIFs (>10). This indicates severe multicollinearity, which compromises the reliability of the regression coefficients.
- UN2020 (p = 0.001), SP2019 (p = 0.000), and SP2020 (p = 0.001) are significant contributors to predicting SI.
- SP2019 has the strongest positive effect, while SP2020 has a strong negative effect.
- Significant predictors: UN2020 (p = 0.001), SP2019 (p = 0.000), and SP2020 (p = 0.001).
- No multicollinearity: all VIF < 10, indicating independence between predictors.
- Valid residuals: residuals were approximately normally distributed and homoscedastic, satisfying regression assumptions.
- Linearity between predictors and dependent variable.
- Independence of residuals (verified by Durbin–Watson = 2.129).
- Homoscedasticity (equal variance of residuals).
- Normality of residuals.
- No multicollinearity (checked with VIF).
- Null hypothesis (H0): there is no significant relationship between the dependent variable (social innovation level) and the independent variables (share of social protection expenditures as a percentage of GDP, unemployment rate, and social exclusion).
- Alternative hypothesis (H1): At least one independent variable significantly predicts the dependent variable.
4. Results
4.1. Preliminary Comparative Analysis of the European Context Regarding the Social Protection System and the One in Romania
4.1.1. Analysis of the Evolution of ESSPROS Social Protection Revenues and Expenses in Romania, in the Period 2015–2020
4.1.2. Statistical Analysis of the Share of Social Benefits Expenses by Function in the Total of Social Benefits Expenses in Romania Compared to the EU Member States
4.1.3. Statistical Analysis of the Share of Social Protection Expenses in GDP—Romania Compared to the European Union Member States
4.1.4. Statistical Analysis of the Share of Social Benefit Expenses by Function in GDP in Romania Compared to the EU Member States
4.2. SPSS Analysis of the Relationship Between the Level of Social Innovation and the Share of Social Protection Expenditures Allocated from GDP, Unemployment, and Social Exclusion in Period 2019–2020 to All EU Member States
- Low SP2020 (15.70–20.00): the mean of SI starts low and fluctuates around 1.0–2.0, indicating limited social innovation in these ranges of social protection expenditures.
- Moderate SP2020 (25.00–30.00): a visible increase in SI occurs, reaching approximately 3.0 at its peak.
- High SP2020 (35.00–38.00): SI stabilizes around 3.0 but drops slightly at the upper end.
4.3. Summary of Key Results
- 1.
- Evolution of Social Protection Revenues and Expenditures in Romania (2015–2020)
- 2.
- Structure of Social Benefits Expenditures Compared to EU Member States
- 3.
- Share of Social Protection Expenditures in GDP
- 4.
- Social Benefit Expenditures by Function in GDP
- 5.
- Relationship Between Social Innovation and Social Protection Indicators (EU-Level SPSS Analysis)
- 6.
- ANOVA and Regression Findings
5. Discussion and Conclusions
5.1. Interpretation of the Empirical Findings
5.2. Theoretical Implications
5.3. Practical Implications
5.4. Research Limitations
- The analysis covered only two years (2019–2020), partially influenced by the pandemic, which may distort structural trends. Extending beyond 2020 could include post-pandemic recovery and longer-term trends.
- Incorporating institutional, technological, and digitalization variables (e.g., European Commission’s 2030 Digital Compass) could capture additional drivers of social innovation.
- A potential measurement bias could occur due to aggregated EU-level data.
- Expanding the geographical scope to non-EU countries could test the robustness and generalizability of the findings.
- Potential endogeneity between welfare investment and social innovation cannot be excluded. Using methodological refinements such as dataset splitting, cross-validation, or longitudinal panel modeling, predictive validity could be strengthened and potential endogeneity between welfare investment and social innovation could be accounted for.
5.5. Future Research Directions
- Future research could integrate mixed-method approaches, combining quantitative modeling with qualitative case studies.
- Comparative longitudinal analysis of panel models type (2010–2025 or 2030) would also clarify the sustainability of the observed relationships.
- Investigate how EU funding mechanisms (e.g., ESF+, Horizon Europe) directly contribute to fostering innovation in social protection systems.
- Broader macroeconomic factors such as inflation, demographics, and technology were not included but may refine future analyses.
- Future research should extend the analysis longitudinally, include comparative assessments among emerging EU member states, integrate qualitative case studies, and apply causal inference methods to strengthen the validity of findings.
5.6. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Appendix A
| Minimum | Maximum | Mean | Std. Deviation | |
|---|---|---|---|---|
| UN2019 | 0.30 | 7.10 | 3.62 | 1.69 |
| UN2020 | 0.90 | 16.70 | 7.16 | 4.04 |
| SE2019 | 0.40 | 5.40 | 2.05 | 1.42 |
| SE2020 | 0.30 | 5.20 | 2.03 | 1.49 |
| SI | 1.00 | 4.00 | 2.63 | 1.04 |
| SP2019 | 13.90 | 33.40 | 22.54 | 6.07 |
| SP2020 | 15.70 | 38.10 | 25.89 | 6.45 |
| Benefit | 2021 | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| January | February | March | April | May | June | July | August | September | October | November | December | |
| State allowance for children | 3,617,367 | 3,630,600 | 3,642,825 | 3,654,209 | 3,662,106 | 3,618,588 | 3,518,202 | 3,511,978 | 3,515,122 | 3,569,473 | 3,594,977 | 3,611,117 |
| Family allowance | 162,721 | 158,738 | 148,372 | 149,732 | 148,429 | 146,217 | 142,871 | 133,871 | 134,639 | 135,825 | 137,135 | 138,433 |
| Indemnity for child-rearing | 178,037 | 179,037 | 178,707 | 178,344 | 177,286 | 175,531 | 175,694 | 175,820 | 174,650 | 172,907 | 173,636 | 173,943 |
| Insertion incentive for child-rearing | 83,678 | 82,646 | 82,416 | 82,696 | 82,670 | 82,492 | 82,339 | 81,162 | 80,954 | 82,192 | 83,590 | 84,317 |
| Social benefit for ensuring the minimum guaranteed income | 176,736 | 174,366 | 172,157 | 169,690 | 165,666 | 162,512 | 159,045 | 156,944 | 156,297 | 156,604 | 157,865 | 159,123 |
| Food allowance granted to persons living with HIV/AIDS | 11,423 | 11,394 | 11,421 | 11,448 | 11,463 | 11,496 | 11,527 | 11,555 | 11,571 | 11,614 | 11,634 | 11,652 |
| Monthly indemnity for adults with severe disability | 288,966 | 288,039 | 288,589 | 289,995 | 290,858 | 291,827 | 293,343 | 294,912 | 295,631 | 297,028 | 295,358 | 294,669 |
| Monthly indemnity for adults with major disability | 391,314 | 390,584 | 390,031 | 389,674 | 389,086 | 389,167 | 389,351 | 389,534 | 389,309 | 389,266 | 388,394 | 387,599 |
| Monthly complementary personal budget for adults with severe disability | 288,966 | 288,039 | 288,589 | 289,995 | 290,858 | 291,827 | 293,343 | 294,912 | 295,631 | 297,028 | 295,358 | 294,669 |
| Monthly complementary personal budget for adults with major disability | 391,314 | 390,582 | 390,031 | 389,674 | 389,086 | 389,167 | 389,351 | 389,534 | 389,309 | 389,266 | 388,394 | 387,599 |
| Monthly complementary personal budget for adults with average disability | 69,650 | 69,775 | 69,845 | 70,087 | 70,309 | 70,598 | 70,814 | 71,082 | 71,172 | 71,270 | 71,310 | 71,331 |
| Social benefits for parents of children with severe disability | 43,351 | 43,478 | 43,603 | 43,862 | 44,050 | 44,168 | 44,478 | 44,754 | 44,801 | 44,680 | 44,904 | 45,108 |
| Social benefits for parents of children with major disability | 10,086 | 10,123 | 10,148 | 10,222 | 10,306 | 10,325 | 10,480 | 10,525 | 10,560 | 10,543 | 10,663 | 10,714 |
| Social benefits for parents of children with average disability | 18,009 | 18,220 | 18,363 | 18,590 | 18,826 | 18,917 | 19,175 | 19,407 | 19,514 | 19,530 | 19,770 | 19,883 |
| Monthly food allowance for children living with HIV/AIDS | 136 | 132 | 136 | 131 | 134 | 135 | 138 | 143 | 146 | 146 | 145 | 154 |
| Allowance for the caregiver of the visually impaired, with major disability | 37,452 | 36,935 | 36,763 | 36,608 | 36,430 | 36,342 | 36,290 | 36,259 | 36,165 | 36,119 | 35,794 | 35,487 |
| Monthly food indemnity for persons with tuberculosis, treated in ambulatory care | - | - | - | - | - | - | 3642 | 3758 | 4977 | 4805 | 4678 | 4036 |
| Benefits for child-rearing granted for persons with disabilities—adults or children | 10,961 | 11,016 | 11,110 | 11,174 | 11,240 | 11,279 | 11,309 | 11,309 | 11,353 | 11,293 | 11,355 | 11,359 |
| Maintenance allowance for the child in placement | 38,149 | 38,221 | 38,007 | 37,980 | 37,929 | 37,399 | 35,762 | 35,365 | 34,599 | 35,094 | 36,157 | 36,379 |
| Benefit | 2022 | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| January | February | March | April | May | June | July | August | September | |
| State allowance for children | 3,623,862 | 3,638,591 | 3,653,174 | 3,665,411 | 3,674,043 | 3,550,551 | 3,524,030 | 3,520,442 | 3,521,936 |
| Family allowance | 138,444 | 130,441 | 132,439 | 132,367 | 131,104 | 129,844 | 128,505 | 120,105 | 121,139 |
| Indemnity for child-rearing | 175,454 | 175,643 | 176,161 | 176,486 | 175,689 | 174,382 | 173,021 | 171,852 | 170,272 |
| Insertion incentive for child-rearing | 84,249 | 84,694 | 86,009 | 87,162 | 87,740 | 87,893 | 88,156 | 87,073 | 86,343 |
| Social benefit for ensuring the minimum guaranteed income | 159,335 | 159,753 | 159,438 | 157,751 | 155,702 | 153,874 | 152,801 | 153,007 | 153,091 |
| Food allowance granted to persons living with HIV/AIDS | 11,670 | 11,664 | 11,702 | 11,721 | 11,731 | 11,747 | 11,642 | 11,639 | 11,734 |
| Monthly indemnity for adults with severe disability | 295,205 | 295,328 | 294,767 | 296,109 | 297,081 | 299,454 | 296,100 | 300,329 | 302,459 |
| Monthly indemnity for adults with major disability | 387,548 | 387,490 | 387,311 | 387,457 | 386,945 | 386,427 | 374,034 | 377,751 | 380,571 |
| Monthly complementary personal budget for adults with severe disability | 295,205 | 295,328 | 294,767 | 296,109 | 297,081 | 299,454 | 296,100 | 300,329 | 302,459 |
| Monthly complementary personal budget for adults with major disability | 387,548 | 387,490 | 387,311 | 387,457 | 386,945 | 386,427 | 374,034 | 377,751 | 380,571 |
| Monthly complementary personal budget for adults with average disability | 71,525 | 71,972 | 72,062 | 72,271 | 72,413 | 72,366 | 64,954 | 65,402 | 65,946 |
| Social benefits for parents of children with severe disability | 45,286 | 45,466 | 45,562 | 45,734 | 45,864 | 45,932 | 44,267 | 44,572 | 44,766 |
| Social benefits for parents of children with major disability | 10,796 | 10,863 | 10,966 | 11,009 | 11,075 | 11,134 | 9501 | 9599 | 9635 |
| Social benefits for parents of children with average disability | 20,072 | 20,178 | 20,381 | 20,544 | 20,728 | 20,710 | 15,791 | 15,799 | 15,861 |
| Monthly food allowance for children living with HIV/AIDS | 154 | 157 | 157 | 160 | 161 | 161 | 147 | 150 | 148 |
| Allowance for the caregiver of the visually impaired, with major disability | 35,341 | 35,209 | 34,962 | 34,860 | 34,793 | 34,798 | 34,381 | 34,580 | 34,626 |
| Monthly food indemnity for persons with tuberculosis, treated in ambulatory care | 4270 | 3714 | 3659 | 3647 | 3765 | 3945 | 4235 | 4472 | 4511 |
| Benefits for child-rearing granted for persons with disabilities—adults or children | 11,403 | 11,423 | 11,457 | 11,545 | 11,623 | 11,656 | 10,517 | 10,533 | 10,623 |
| Maintenance allowance for the child in placement | 36,389 | 36,355 | 35,984 | 36,059 | 36,132 | 34,982 | 33,788 | 33,540 | 32,872 |
| Benefit | Minimum | Maximum | Mean | Std. Deviation |
|---|---|---|---|---|
| State allowance for children | 3,511,978.0 | 3,674,043.0 | 3,596,124.0 | 58,270.3 |
| Family allowance | 120,105.0 | 162,721.0 | 138,160.5 | 11,064.8 |
| Indemnity for child-rearing | 170,272.0 | 179,037.0 | 175,359.6 | 2270.2 |
| Insertion incentive for child-rearing | 80,954.0 | 88,156.0 | 84,308.1 | 2321.1 |
| Social benefit for ensuring the minimum guaranteed income | 152,801.0 | 176,736.0 | 160,559.8 | 7110.4 |
| Food allowance granted to persons living with HIV/AIDS | 11,394.0 | 11,747.0 | 11,592.7 | 114.8 |
| Monthly indemnity for adults with severe disability | 288,039.0 | 302,459.0 | 294,573.6 | 3826.0 |
| Monthly indemnity for adults with major disability | 374,034.0 | 391,314.0 | 387,087.7 | 4344.9 |
| Monthly complementary personal budget for adults with severe disability | 288,039.0 | 302,459.0 | 294,573.6 | 3826.0 |
| Monthly complementary personal budget for adults with major disability | 374,034.0 | 391,314.0 | 387,087.6 | 4344.8 |
| Monthly complementary personal budget for adults with average disability | 64,954.0 | 72,413.0 | 70,293.0 | 2205.0 |
| Social benefits for parents of children with severe disability | 43,351.0 | 45,932.0 | 44,699.3 | 775.1 |
| Social benefits for parents of children with major disability | 9501.0 | 11,134.0 | 10,441.5 | 478.3 |
| Social benefits for parents of children with average disability | 15,791.0 | 20,728.0 | 18,965.1 | 1539.8 |
| Monthly food allowance for children living with HIV/AIDS | 131.0 | 161.0 | 146.2 | 9.9 |
| Allowance for the caregiver of the visually impaired. with major disability | 34,381.0 | 37,452.0 | 35,723.5 | 894.2 |
| Monthly food indemnity for persons with tuberculosis. treated in ambulatory care | 0 | 4977 | 3653.7 | 1440.6 |
| Benefits for child-rearing granted for persons with disabilities—adults or children | 10,517.0 | 11,656.0 | 11,216.0 | 325.1 |
| Maintenance allowance for the child in placement | 32,872.0 | 38,221.0 | 36,054.3 | 1558.7 |
| No. | Variables | Observations |
|---|---|---|
| 1. | UN2019
| The F-statistic is 2.615, and the p-value is 0.075, which is greater than 0.05. This means there is no statistically significant difference between the group means for UN2019. |
| 2. | UN2020
| The F-statistic is 4.226, and the p-value is 0.016, which is less than 0.05. This indicates a statistically significant difference between the group means for UN2020. Further post hoc tests (e.g., Tukey’s HSD) would be needed to determine which groups differ significantly. |
| 3. | SE2019
| The F-statistic is 4.398, and the p-value is 0.014, which is less than 0.05. This suggests a statistically significant difference between the group means for SE2019. Post hoc analysis would clarify which groups are significantly different. |
| 4. | SE2020
| The F-statistic is 4.338, and the p-value is 0.015, which is less than 0.05. There is a statistically significant difference between the group means for SE2020. Post hoc tests are recommended to identify specific differences. |
| 5. | SP2019
| The F-statistic is 5.759, and the p-value is 0.004, which is less than 0.01. This indicates a highly significant difference between the group means for SP2019. Conduct post hoc tests to identify the groups with significant differences. |
| 6. | SP2020
| The F-statistic is 4.740, and the p-value is 0.010, which is less than 0.05. This suggests a statistically significant difference between the group means for SP2020. |
Appendix B




| Null Hypothesis | Test | Sig. | Decision | |
|---|---|---|---|---|
| 1 | The categories of State EU occur with equal probabilities. | One-Sample Chi-Square Test | 1.000 | Retain the null hypothesis. |
| 2 | The categories of SI occur with equal probabilities. | One-Sample Chi-Square Test | 0.535 | Retain the null hypothesis. |
| 3 | The distribution of UN2019 is normal with mean 3.6 and standard deviation 1.6940. | One-Sample Kolmogorov–Smirnov Test | 0.142 a | Retain the null hypothesis. |
| 4 | The distribution of UN2020 is normal with mean 7.2 and standard deviation 4.0460. | One-Sample Kolmogorov–Smirnov Test | 0.132 a | Retain the null hypothesis. |
| 5 | The distribution of SE2019 is normal with mean 2.1 and standard deviation 1.4214. | One-Sample Kolmogorov–Smirnov Test | 0.001 a | Reject the null hypothesis. |
| 6 | The distribution of SE2020 is normal with mean 2.0 and standard deviation 1.4920. | One-Sample Kolmogorov–Smirnov Test | 0.000 a | Reject the null hypothesis. |
| 7 | The distribution of SP2019 is normal with mean 22.55 and standard deviation 6.07842. | One-Sample Kolmogorov–Smirnov Test | 0.183 a | Retain the null hypothesis. |
| 8 | The distribution of SP2020 is normal with mean 25.89 and standard deviation 6.45129. | One-Sample Kolmogorov–Smirnov Test | 0.155 a | Retain the null hypothesis. |
- Input Layer (Left):
- ○
- The inputs consist of four features labeled as “Social innovation category = 1”, “Social innovation category = 2”, and so on.
- ○
- A Bias node is also present, which provides a constant value to the model.
- Hidden Layer (Middle):
- ○
- The hidden layer contains three neurons labeled as H(1:1), H(1:2), and H(1:3).
- ○
- Each input is connected to the hidden neurons through weighted connections, which are shown with different colors:
- ▪
- Gray lines: Positive weights, suggest that increasing the input feature will positively impact the neuron or output.
- ▪
- Blue lines: Negative weights, suggesting the opposite.
- Output Layer (Right):
- ○
- The outputs represent the following:
- ▪
- Unemployment (2019, 2020).
- ▪
- Social exclusion (2019, 2020).
- ▪
- Share of expenses on social protection as a percentage of GDP (2019, 2020).
- Connections:
- ○
- Each node in the hidden layer is connected to all output nodes, illustrating a fully connected network between the hidden and output layers.
- ○
- The weights determine the influence of the input features on the outputs.
- Bias Contribution: The bias ensures that the model is not restricted to passing through the origin and can generalize better.

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| Indicator | Value | Interpretation |
|---|---|---|
| R | 0.868 | Indicates a very strong correlation between the independent variables and the dependent variable |
| R Square | 0.754 | SP, UN, and SE explain 75.4% of the variance in social innovation (SI) |
| Adjusted R Square | 0.680 | The adjusted value accounts for the number of predictors; the model remains robust |
| Std. Error of the Estimate | 0.590 | The standard error of the estimate shows a reasonable level of precision |
| Durbin–Watson | 2.129 | No significant autocorrelation of residuals (ideal value ≈ 2) |
| Model | Sum of Squares | df | Mean Square | F | Sig. | Interpretation | |
|---|---|---|---|---|---|---|---|
| 1 | Regression | 21.340 | 6 | 3.557 | 10.226 | 0.000 b | The regression model is statistically significant (p < 0.05), indicating that SP, UN, and SE jointly explain a substantial portion of the variance in SI |
| Residual | 6.956 | 20 | 0.348 | Represents the unexplained variance (error term) in the model | |||
| Total | 28.296 | 26 | Reflects the total variance in the dependent variable (SI) | ||||
| Predictor | B (Unstandardized) | Std. Error | Beta (Standardized) | t | Sig. | Interpretation |
|---|---|---|---|---|---|---|
| (Constant) | −0.615 | 0.593 | - | −1.037 | 0.031 | Baseline SI level when all predictors are zero |
| UN2019 | −0.083 | 0.109 | −0.135 | −0.768 | 0.045 | Slight negative effect on SI, marginally significant |
| UN2020 | 0.192 | 0.052 | 0.746 | 3.691 | 0.001 | Strong positive effect on SI, highly significant |
| SE2019 | 0.674 | 0.526 | 0.918 | 1.282 | 0.021 | Positive contribution to SI |
| SE2020 | −0.439 | 0.519 | −0.628 | −0.846 | 0.040 | Negative effect on SI |
| SP2019 | 0.586 | 0.134 | 3.415 | 4.376 | 0.000 | Very strong positive effect on SI |
| SP2020 | −0.456 | 0.122 | −2.818 | −3.734 | 0.001 | Significant negative effect on SI |
| Validity Criterion | Method Used | Result |
|---|---|---|
| Linearity | Scatterplots and residual plots | Satisfied |
| Independence of errors | Durbin–Watson = 2.129 | No autocorrelation |
| Homoscedasticity | Residuals showed equal variance | Satisfied |
| Normality of residuals | Normal P-P plots | Satisfied |
| No Multicollinearity | Removed highly collinear predictors + PCA | Satisfied (VIF < 10) |
| Model Significance | ANOVA (F = 10.226, p < 0.001) | Statistically significant |
| Explanatory Power | R2 = 0.754, Adjusted R2 = 0.680 | Good model fit |
| Year | 2015 | 2016 | 2017 | 2018 | 2019 | 2020 |
|---|---|---|---|---|---|---|
| 1. Social protection income | 106,403 | 116,741 | 131,237 | 144,984 | 160,656 | 178,463 |
| (1a) Social contributions | 69,743 | 81,115 | 95,766 | 116,380 | 129,848 | 134,221 |
| (1b) Contributions of the public administration | 35,052 | 34,050 | 33,770 | 27,671 | 29,692 | 43,129 |
| 2. Social protection expenses | 103,887 | 111,822 | 126,749 | 142,906 | 161,955 | 188,978 |
| (2a) Expenses with social benefits exclusive of administrative costs | 101,571 | 110,053 | 124,253 | 140,226 | 158,855 | 180,916 |
| Function | Expenses with Social Benefits | Disease/ | Invalidity | Age Limit | Successor | Family/ | Unemployment | Residence | Social Exclusion | Social Innovation Category | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Health Care | Children | |||||||||||||||||||
| Year | 2019 | 2020 | 2019 | 2020 | 2019 | 2020 | 2019 | 2020 | 2019 | 2020 | 2019 | 2020 | 2019 | 2020 | 2019 | 2020 | 2019 | 2020 | ||
| Geo | ||||||||||||||||||||
| RO | 100 | 100 | 29.8 | 29.1 | 5.9 | 5.2 | 47.9 | 48.7 | 4.3 | 4.3 | 11.2 | 11.3 | 0.3 | 0.9 | 0.1 | 0.1 | 0.6 | 0.5 | Emerging Innovator | |
| UE | 100 | 100 | 29.6 | 29.1 | 7.6 | 7.3 | 40.2 | 38.6 | 6.0 | 5.7 | 8.4 | 8.3 | 4.5 | 7.3 | 1.3 | 1.3 | 2.3 | 2.4 | - | |
| BE | 100 | 100 | 27.3 | 26.6 | 9.3 | 8.8 | 40.4 | 39.0 | 6.5 | 5.5 | 7.6 | 7.4 | 5.5 | 8.9 | 0.9 | 0.8 | 2.6 | 3.1 | Innovation Leader | |
| BG | 100 | 100 | 30.2 | 30.1 | 8.3 | 8.5 | 42.1 | 42.4 | 5.2 | 5.0 | 10.0 | 9.0 | 2.9 | 3.8 | 0.0 | 0.0 | 1.3 | 1.4 | Emerging Innovator | |
| CZ | 100 | 100 | 33.7 | 34.4 | 6.2 | 5.9 | 44.3 | 42.5 | 3.0 | 2.8 | 9.0 | 8.7 | 2.2 | 4.1 | 0.8 | 0.7 | 0.9 | 0.8 | Moderate innovator | |
| DK | 100 | 100 | 21.2 | 21.9 | 15.8 | 15.8 | 40.5 | 39.4 | 0.8 | 0.8 | 10.9 | 10.8 | 4.2 | 4.6 | 2.2 | 2.1 | 4.5 | 4.7 | Innovation Leader | |
| DE | 100 | 100 | 35.7 | 34.8 | 8.7 | 8.6 | 32.6 | 31.6 | 6.0 | 5.7 | 11.5 | 11.7 | 3.2 | 5.4 | 1.7 | 1.7 | 0.7 | 0.5 | Strong innovator | |
| EE | 100 | 100 | 29.1 | 26.7 | 11.6 | 11.0 | 40.6 | 38.9 | 0.3 | 0.3 | 14.5 | 12.8 | 3.3 | 9.7 | 0.4 | 0.3 | 0.4 | 0.3 | Moderate innovator | |
| IE | 100 | 100 | 39.8 | 38.9 | 5.6 | 5.0 | 31.7 | 27.1 | 2.6 | 2.3 | 9.8 | 8.3 | 5.8 | 13.8 | 4.0 | 3.9 | 0.7 | 0.6 | Strong innovator | |
| EL | 100 | 100 | 21.2 | 21.2 | 4.3 | 3.9 | 53.7 | 53.4 | 9.4 | 9.7 | 6.2 | 5.4 | 3.7 | 4.8 | 0.0 | 0.0 | 1.7 | 1.6 | Moderate innovator | |
| ES | 100 | 100 | 27.3 | 27.1 | 6.9 | 6.2 | 41.9 | 39.0 | 9.7 | 8.9 | 5.6 | 5.3 | 7.1 | 12.0 | 0.5 | 0.4 | 1.0 | 1.1 | Moderate innovator | |
| FR | 100 | 100 | 28.7 | 28.1 | 6.5 | 6.2 | 40.4 | 38.6 | 5.2 | 4.8 | 7.3 | 7.0 | 6.1 | 9.1 | 2.2 | 2.1 | 3.8 | 4.0 | Strong innovator | |
| HR | 100 | 100 | 33.7 | 33.1 | 10.0 | 9.5 | 34.6 | 34.7 | 8.3 | 8.0 | 9.2 | 9.2 | 2.8 | 4.2 | 0.1 | 0.0 | 1.5 | 1.4 | Emerging Innovator | |
| IT | 100 | 100 | 22.8 | 22.3 | 5.6 | 5.3 | 49.3 | 46.6 | 9.2 | 8.6 | 4.0 | 3.8 | 5.5 | 9.1 | 0.1 | 0.1 | 3.5 | 4.3 | Moderate innovator | |
| CY | 100 | 100 | 25.2 | 25.3 | 4.1 | 3.1 | 45.8 | 38.2 | 7.3 | 6.1 | 5.8 | 5.3 | 5.0 | 15.8 | 1.8 | 1.5 | 5.0 | 4.7 | Strong innovator | |
| LV | 100 | 100 | 29.3 | 29.6 | 8.5 | 8.2 | 45.5 | 44.1 | 1.3 | 1.4 | 10.4 | 9.9 | 4.0 | 6.0 | 0.4 | 0.3 | 0.6 | 0.6 | Emerging Innovator | |
| LT | 100 | 100 | 30.5 | 30.0 | 8.7 | 7.2 | 41.1 | 37.9 | 2.2 | 2.0 | 10.8 | 11.4 | 4.6 | 9.6 | 0.5 | 0.4 | 1.7 | 1.5 | Moderate innovator | |
| LU | 100 | 100 | 26.3 | 25.8 | 11.9 | 11.0 | 33.3 | 31.4 | 7.3 | 6.6 | 15.6 | 15.7 | 2.8 | 6.6 | 0.4 | 0.4 | 2.5 | 2.6 | Strong innovator | |
| HU | 100 | 100 | 28.3 | 31.3 | 5.8 | 5.2 | 44.2 | 41.4 | 4.9 | 4.5 | 11.3 | 11.1 | 1.9 | 3.0 | 2.3 | 2.5 | 1.2 | 1.2 | Moderate innovator | |
| MT | 100 | 100 | 36.1 | 31.2 | 3.8 | 3.2 | 43.3 | 35.9 | 7.8 | 6.3 | 5.7 | 4.6 | 1.2 | 16.7 | 0.8 | 0.7 | 1.3 | 1.3 | Moderate innovator | |
| NL | 100 | 100 | 34.8 | 35.1 | 9.3 | 9.1 | 38.1 | 37.5 | 3.5 | 3.4 | 4.6 | 4.5 | 2.8 | 3.6 | 1.6 | 1.6 | 5.4 | 5.2 | Innovation Leader | |
| AT | 100 | 100 | 26.9 | 24.9 | 6.1 | 5.6 | 44.8 | 42.4 | 5.5 | 5.1 | 9.2 | 9.1 | 5.4 | 11.2 | 0.3 | 0.3 | 1.7 | 1.6 | Strong innovator | |
| PL | 100 | 100 | 24.5 | 24.0 | 5.7 | 6.8 | 44.3 | 41.3 | 7.9 | 7.1 | 14.7 | 16.2 | 1.1 | 3.2 | 0.1 | 0.1 | 1.6 | 1.4 | Emerging Innovator | |
| PT | 100 | 100 | 26.7 | 26.7 | 7.2 | 6.8 | 49.4 | 47.1 | 7.7 | 7.5 | 5.2 | 5.3 | 2.8 | 5.8 | 0.0 | 0.0 | 0.9 | 0.9 | Moderate innovator | |
| SI | 100 | 100 | 34.1 | 33.7 | 4.9 | 4.8 | 41.1 | 39.0 | 5.6 | 5.0 | 8.4 | 7.5 | 2.3 | 6.4 | 0.1 | 0.1 | 3.6 | 3.5 | Moderate innovator | |
| SK | 100 | 100 | 32.6 | 30.7 | 8.4 | 8.3 | 40.7 | 41.0 | 4.7 | 4.7 | 9.3 | 9.9 | 2.9 | 4.4 | 0.3 | 0.3 | 1.3 | 0.9 | Emerging Innovator | |
| FI | 100 | 100 | 22.9 | 22.4 | 9.6 | 9.2 | 43.5 | 42.9 | 2.6 | 2.5 | 10.0 | 9.8 | 5.5 | 7.1 | 3.0 | 3.0 | 2.9 | 3.1 | Innovation Leader | |
| SE | 100 | 100 | 27.6 | 28.8 | 9.7 | 9.1 | 44.3 | 44.0 | 0.9 | 0.8 | 10.6 | 10.1 | 2.9 | 3.7 | 1.4 | 1.4 | 2.5 | 2.1 | Innovation Leader | |
| Total Expenses Social Protection | Expenses on Social Benefits | Administrative Costs | Other Expenses | Social Innovation | |||||
|---|---|---|---|---|---|---|---|---|---|
| Geo/AN | 2019 | 2020 | 2019 | 2020 | 2019 | 2020 | 2019 | 2020 | |
| RO | 15.3 | 17.7 | 15.0 | 17.0 | 0.3 | 0.7 | 0.0 | 0.0 | Emerging Innovator |
| UE-27 | 28.0 | 31.8 | 26.8 | 30.4 | 0.9 | 1.0 | 0.3 | 0.5 | |
| BE | 28.7 | 32.9 | 27.3 | 31.4 | 1.1 | 1.1 | 0.3 | 0.3 | Innovation Leader |
| BG | 16.5 | 18.8 | 16.0 | 18.3 | 0.4 | 0.4 | 0.2 | 0.1 | Emerging Innovator |
| CZ | 18.8 | 22.0 | 18.3 | 21.4 | 0.5 | 0.6 | 0.0 | 0.0 | Moderate innovator |
| DK | 31.5 | 32.8 | 30.2 | 31.5 | 1.3 | 1.3 | 0.0 | 0.0 | Innovation Leader |
| DE | 30.1 | 33.4 | 28.9 | 32.0 | 1.1 | 1.2 | 0.1 | 0.1 | Strong innovator |
| EE | 16.5 | 19.7 | 16.3 | 19.3 | 0.2 | 0.3 | 0.0 | 0.0 | Moderate innovator |
| IE | 13.9 | 15.7 | 13.3 | 15.1 | 0.6 | 0.5 | 0.0 | 0.0 | Strong innovator |
| EL | 25.5 | 29.4 | 25.2 | 29.1 | 0.2 | 0.3 | 0.1 | 0.1 | Moderate innovator |
| ES | 24.1 | 29.9 | 23.7 | 29.5 | 0.4 | 0.5 | 0.0 | 0.0 | Moderate innovator |
| FR | 33.4 | 38.1 | 31.2 | 35.2 | 1.2 | 1.6 | 1.0 | 1.3 | Strong innovator |
| HR | 21.2 | 24.3 | 20.9 | 23.8 | 0.3 | 0.4 | 0.0 | 0.0 | Emerging Innovator |
| IT | 29.2 | 34.4 | 28.3 | 33.3 | 0.6 | 0.7 | 0.4 | 0.5 | Moderate innovator |
| CY | 18.1 | 24.4 | 17.7 | 24.0 | 0.2 | 0.2 | 0.2 | 0.2 | Strong innovator |
| LV | 15.6 | 17.8 | 15.4 | 17.6 | 0.2 | 0.2 | 0.0 | 0.0 | Emerging Innovator |
| LT | 16.5 | 19.6 | 16.1 | 19.2 | 0.4 | 0.4 | 0.0 | 0.0 | Moderate innovator |
| LU | 21.6 | 24.4 | 21.3 | 24.0 | 0.3 | 0.3 | 0.1 | 0.1 | Strong innovator |
| HU | 16.7 | 18.4 | 16.4 | 18.0 | 0.3 | 0.4 | 0.0 | 0.0 | Moderate innovator |
| MT | 14.7 | 20.2 | 14.5 | 20.1 | 0.1 | 0.2 | 0.0 | 0.0 | Moderate innovator |
| NL | 28.8 | 32.6 | 26.9 | 29.2 | 1.6 | 1.6 | 0.2 | 1.8 | Innovation Leader |
| AT | 29.3 | 34.1 | 28.6 | 33.3 | 0.5 | 0.5 | 0.2 | 0.2 | Strong innovator |
| PL | 20.9 | 23.7 | 20.6 | 23.3 | 0.4 | 0.4 | 0.0 | 0.0 | Emerging Innovator |
| PT | 24.0 | 27.6 | 23.1 | 26.5 | 0.4 | 0.4 | 0.6 | 0.7 | Moderate innovator |
| SI | 22.2 | 26.1 | 21.8 | 25.7 | 0.3 | 0.3 | 0.1 | 0.1 | Moderate innovator |
| SK | 17.9 | 19.9 | 17.4 | 19.4 | 0.5 | 0.5 | 0.0 | 0.0 | Emerging Innovator |
| FI | 30.1 | 31.9 | 29.6 | 31.4 | 0.5 | 0.5 | 0.0 | 0.0 | Innovation Leader |
| SE | 27.7 | 29.3 | 27.1 | 28.7 | 0.5 | 0.5 | 0.0 | 0.0 | Innovation Leader |
| Variables | Coefficient | SI | UN2019 | UN2020 | SE2019 | SE2020 | SP2019 | SP2020 |
|---|---|---|---|---|---|---|---|---|
| SI | Pearson Correlation | 1 | 0.433 | 0.214 | 0.591 | 0.590 | 0.650 | 0.617 |
| Bayes Factor | 0.542 | 3.799 | 0.037 | 0.038 | 0.009 | 0.020 | ||
| UN2019 | Pearson Correlation | 0.433 | 1 | 0.540 | 0.255 | 0.314 | 0.433 | 0.479 |
| Bayes Factor | 0.542 | 0.102 | 2.964 | 1.901 | 0.542 | 0.283 | ||
| UN2020 | Pearson Correlation | 0.214 | 0.540 | 1 | 0.096 | 0.116 | −0.115 | 0.029 |
| Bayes Factor | 3.799 | 0.102 | 6.022 | 5.714 | 5.734 | 6.670 | ||
| SE2019 | Pearson Correlation | 0.591 | 0.255 | 0.096 | 1 | 0.986 | 0.542 | 0.566 |
| Bayes Factor | 0.037 | 2.964 | 6.022 | 0.000 | 0.099 | 0.062 | ||
| SE2020 | Pearson Correlation | 0.590 | 0.314 | 0.116 | 0.986 | 1 | 0.580 | 0.608 |
| Bayes Factor | 0.038 | 1.901 | 5.714 | 0.000 | 0.047 | 0.025 | ||
| SP2019 | Pearson Correlation | 0.650 | 0.433 | 0.115 | 0.542 | 0.580 | 1 | 0.978 |
| Bayes Factor | 0.009 | 0.542 | 5.734 | 0.099 | 0.047 | 0.000 | ||
| SP2020 | Pearson Correlation | 0.617 | 0.479 | 0.029 | 0.566 | 0.608 | 0.978 | 1 |
| Bayes Factor | 0.020 | 0.283 | 6.670 | 0.062 | 0.025 | 0.000 |
| Sum of Squares | df | Mean Square | F | Sig. | ||
|---|---|---|---|---|---|---|
| UN2019 | Between Groups | 18.973 | 3 | 6.324 | 2.615 | 0.075 |
| Within Groups | 55.634 | 23 | 2.419 | |||
| Total | 74.607 | 26 | ||||
| UN2020 | Between Groups | 151.253 | 3 | 50.418 | 4.226 | 0.016 |
| Within Groups | 274.367 | 23 | 11.929 | |||
| Total | 425.620 | 26 | ||||
| SE2019 | Between Groups | 19.148 | 3 | 6.383 | 4.398 | 0.014 |
| Within Groups | 33.379 | 23 | 1.451 | |||
| Total | 52.527 | 26 | ||||
| SE2020 | Between Groups | 20.916 | 3 | 6.972 | 4.338 | 0.015 |
| Within Groups | 36.964 | 23 | 1.607 | |||
| Total | 57.880 | 26 | ||||
| SP2019 | Between Groups | 412.079 | 3 | 137.360 | 5.759 | 0.004 |
| Within Groups | 548.548 | 23 | 23.850 | |||
| Total | 960.627 | 26 | ||||
| SP2020 | Between Groups | 413.409 | 3 | 137.803 | 4.740 | 0.010 |
| Within Groups | 668.689 | 23 | 29.073 | |||
| Total | 1082.099 | 26 | ||||
| Variable | F-Statistic | p-Value | Significant Difference |
|---|---|---|---|
| UN2019 | 2.615 | 0.075 | No |
| UN2020 | 4.226 | 0.016 | Yes |
| SE2019 | 4.398 | 0.014 | Yes |
| SE2020 | 4.338 | 0.015 | Yes |
| SP2019 | 5.759 | 0.004 | Yes |
| SP2020 | 4.740 | 0.010 | Yes |
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Pripoaie, R.; Turtureanu, A.-G.; Radu, R.I.; Matic, A.-E.; Schin, G.-C.; Beldiman, C.-M.; Pătrașcu, G.-C. The Role of Public Policy in Advancing Social Innovation and Inclusion: EU and Romania’s Comparison. Adm. Sci. 2025, 15, 443. https://doi.org/10.3390/admsci15110443
Pripoaie R, Turtureanu A-G, Radu RI, Matic A-E, Schin G-C, Beldiman C-M, Pătrașcu G-C. The Role of Public Policy in Advancing Social Innovation and Inclusion: EU and Romania’s Comparison. Administrative Sciences. 2025; 15(11):443. https://doi.org/10.3390/admsci15110443
Chicago/Turabian StylePripoaie, Rodica, Anca-Gabriela Turtureanu, Riana Iren Radu, Andreea-Elena Matic, George-Cristian Schin, Camelia-Mădălina Beldiman, and Gabriela-Cristina Pătrașcu. 2025. "The Role of Public Policy in Advancing Social Innovation and Inclusion: EU and Romania’s Comparison" Administrative Sciences 15, no. 11: 443. https://doi.org/10.3390/admsci15110443
APA StylePripoaie, R., Turtureanu, A.-G., Radu, R. I., Matic, A.-E., Schin, G.-C., Beldiman, C.-M., & Pătrașcu, G.-C. (2025). The Role of Public Policy in Advancing Social Innovation and Inclusion: EU and Romania’s Comparison. Administrative Sciences, 15(11), 443. https://doi.org/10.3390/admsci15110443

