Ozili, Peterson K (2023): The acceptable R-square in empirical modelling for social science research. Forthcoming in:
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Abstract
This commentary article examines the acceptable R-square in social science empirical modelling with particular focus on why a low R-square model is acceptable in empirical social science research. The paper shows that a low R-square model is not necessarily bad. This is because the goal of most social science research modelling is not to predict human behaviour. Rather, the goal is often to assess whether specific predictors or explanatory variables have a significant effect on the dependent variable. Therefore, a low R-square of at least 0.1 (or 10 percent) is acceptable on the condition that some or most of the predictors or explanatory variables are statistically significant. If this condition is not met, the low R-square model cannot be accepted. A high R-square model is also acceptable provided that there is no spurious causation in the model and there is no multi-collinearity among the explanatory variables.
Item Type: | MPRA Paper |
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Original Title: | The acceptable R-square in empirical modelling for social science research |
Language: | English |
Keywords: | R-square, low R-square, social science, research, empirical model, modelling, regression. |
Subjects: | C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C10 - General C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C14 - Semiparametric and Nonparametric Methods: General C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C15 - Statistical Simulation Methods: General C - Mathematical and Quantitative Methods > C3 - Multiple or Simultaneous Equation Models ; Multiple Variables > C30 - General C - Mathematical and Quantitative Methods > C5 - Econometric Modeling > C50 - General C - Mathematical and Quantitative Methods > C5 - Econometric Modeling > C51 - Model Construction and Estimation |
Item ID: | 116496 |
Depositing User: | Dr Peterson K Ozili |
Date Deposited: | 24 Feb 2023 09:20 |
Last Modified: | 24 Feb 2023 09:20 |
References: | Cameron, A. C., & Windmeijer, F. A. (1997). An R-squared measure of goodness of fit for some common nonlinear regression models. Journal of econometrics, 77(2), 329-342. Chicco, D., Warrens, M. J., & Jurman, G. (2021). The coefficient of determination R-squared is more informative than SMAPE, MAE, MAPE, MSE and RMSE in regression analysis evaluation. PeerJ Computer Science, 7, e623. Cornell, J. A., & Berger, R. D. (1987). Factors that influence the value of the coefficient of determination in simple linear and nonlinear regression models. Phytopathology, 77(1), 63-70. CSCU (2005). Assessing the Fit of Regression Models. The Cornell Statistical Consulting Unit Ferligoj, A., & Kramberger, A. (1995). Some Properties of R 2 in Ordinary Least Squares Regression. Figueiredo Filho, D. B., Júnior, J. A. S., & Rocha, E. C. (2011). What is R2 all about?. Leviathan (São Paulo), (3), 60-68. Gelman, A., Goodrich, B., Gabry, J., & Vehtari, A. (2019). R-squared for Bayesian regression models. The American Statistician. Gujarati, D. N., Porter, D. C., & Gunasekar, S. (2012). Basic econometrics. Tata mcgraw-hill education. Hagquist, C., & Stenbeck, M. (1998). Goodness of fit in regression analysis–R 2 and G 2 reconsidered. Quality and Quantity, 32(3), 229-245. Hagle, T. M., & Mitchell, G. E. (1992). Goodness-of-fit measures for probit and logit. American Journal of Political Science, 762-784. Hill, R. C., Griffiths, W. E., & Lim, G. C. (2018). Principles of econometrics. John Wiley & Sons. Ijomah, M. A. (2019). On the Misconception of R-square for R-square in a Regression Model. International Journal of Research and Scientific Innovation (IJRSI), 6(12), 71-76. King, G. (1986). How not to lie with statistics: Avoiding common mistakes in quantitative political science. American Journal of Political Science, 666-687. King, G. (1990). Stochastic Variation: A Comment on Lewis-Beck and Skalaban's “The R-Squared”. Political Analysis, 2, 185-200. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/116496 |
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The acceptable R-square in empirical modelling for social science research. (deposited 26 Dec 2022 14:32)
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