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The R-Squared: Some Straight Talk

Published online by Cambridge University Press:  04 January 2017

Extract

In political science research these days, the R2 is out of fashion. A chorus of our best methodologists sounds notes of caution, at varying degrees of pitch. Berry and Feldman (1985, 15) remark in their popular regression monograph: “A researcher should be careful to recognize the limitations of R2 as a measure of goodness of fit.” In their more general statistics text, Hanushek and Jackson (1977, 59) claim that “one must be extremely cautious in interpreting the R2 value for an estimation and particularly in comparing R2 values for models that have been estimated with different data sets.” Perhaps the most pointed attack comes from Achen (1982, 61), who argues that the R2 “measures nothing of serious importance.” His contention is that it should be abandoned, and the standard error of the regression (SEE) substituted as a goodness-of-fit measure. Developing these lines of inquiry further, King (1986) provides the latest set of criticisms. Accordingly, “In most practical political science situations, it makes little sense to use [the R2]” (King 1986, 669). And, concerning the “proportion of variance explained” definition more particularly, “it is not clear how this interpretation adds meaning to political analyses.” (King 1986, 678).

Type
Controversy
Copyright
Copyright © by the University of Michigan 1991 

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References

Achen, Christopher. 1982. Interpreting and Using Regression. Beverly Hills: Sage.Google Scholar
Berry, William D., and Feldman, Stanley. 1985. Multiple Regression in Practice. Beverly Hills: Sage.Google Scholar
Blalock, Hubert M. 1960. Social Statistics. New York: McGraw-Hill.Google Scholar
Blalock, Hubert M. 1964. Causal Inferences in Nonexperimental Research. Chapel Hill: University of North Carolina Press.Google Scholar
Bohrnstedt, G. W., and Carter, T. M. 1971. “Robustness in Regression Analysis.” In Sociological Methodology 1971, ed. Costner, H. L. San Francisco: Jossey-Bass.Google Scholar
Bowen, Bruce D., and Weisberg, Herbert F. 1980. An Introduction to Data Analysis. San Francisco: W. H. Freeman.Google Scholar
Cramer, Harold. 1946. Mathematical Methods of Statistics. Princeton: Princeton University Press.Google Scholar
Dhrymes, Phoebus J. 1986. “Limited Dependent Variables.” In Handbook of Econometrics. Vol. 3, ed. Griliches, Z. and Intriligator, M. D. Amsterdam: Elsevier Science.Google Scholar
Ezekiel, Mordecai, and Fox, Karl A. 1959. Methods of Correlation and Regression Analysis. 3d ed. New York: Wiley.Google Scholar
Hanushek, Eric A., and Jackson, John E. 1977. Statistical Methods for Social Scientists. New York: Academic Press.Google Scholar
Kelejian, Harry H., and Oates, Wallace E. 1974. Introduction to Econometrics: Principles and Applications. New York: Harper and Row.Google Scholar
King, Gary. 1986. “How Not to Lie with Statistics: Avoiding Common Mistakes in Quantitative Political Science.” American Journal of Political Science 30: 666–87.Google Scholar
Kmenta, Jan. 1971. Elements of Econometrics. New York: Macmillan.Google Scholar
Lewis-Beck, Michael S. 1978. “Stepwise Regression: A Caution.” Political Methodology 5: 213–40.Google Scholar
Lewis-Beck, Michael S. 1980. Applied Regression: An Introduction. Beverly Hills: Sage.Google Scholar
Lewis-Beck, Michael S. 1988. Economics and Elections: The Major Western Democracies. Ann Arbor University of Michigan Press.Google Scholar
Mendenhall, William. 1987. Introduction to Probability and Statistics. 7th ed. Boston: Duxbury Press.Google Scholar
Mirer, Thad W. 1983. Economic Statistics and Econometrics. New York: Macmillan.Google Scholar
Mohr, Lawrence B. 1990. Understanding Significance Tests. Newbury Park, Calif.: Sage.Google Scholar
Pindyck, Robert S., and Rubinfeld, Daniel L. 1981. Econometric Models and Economic Forecasts. 2d ed. New York: McGraw-Hill.Google Scholar
Weisberg, Herbert F., and Bowen, Bruce D. 1977. An Introduction to Survey Research and Data Analysis. San Francisco: W. H. Freeman.Google Scholar
Weisberg, Sanford. 1985. Applied Linear Regression. New York: Wiley.Google Scholar