Estimating Incumbency Advantage Without Bias

In this paper we prove theoretically and demonstrate empirically that all existing measures of incumbency advantage in the congressional elections literature are biased or inconsistent. We then provide an unbiased estimator based on a very simple linear regression model. We apply this new method to congressional elections since 1900, providing the first evidence of a positive incumbency advantage in the first half of the century.

[1]  John B. Shoven,et al.  I , Edinburgh Medical and Surgical Journal.

[2]  Lillian Cohen,et al.  Statistical Methods for Social Scientists. , 1954 .

[3]  Samuel Kotz,et al.  Continuous univariate distributions : distributions in statistics , 1970 .

[4]  Robert S. Erikson.  The Advantage of Incumbency in Congressional Elections , 1971, Polity.

[5]  P. R. Fisk,et al.  Distributions in Statistics: Continuous Multivariate Distributions , 1971 .

[6]  Robert S. Erikson,et al.  Malapportionment, Gerrymandering, and Party Fortunes in Congressional Elections , 1972, American Political Science Review.

[7]  Warren Lee Kostroski.  Party and Incumbency in Postwar Senate Elections: Trends, Patterns, and Models , 1973, American Political Science Review.

[8]  W. R. Buckland,et al.  Distributions in Statistics: Continuous Multivariate Distributions , 1973 .

[9]  David R. Mayhew.  Congressional Elections: The Case of the Vanishing Marginals , 1974, Polity.

[10]  D. Rubin.  Estimating causal effects of treatments in randomized and nonrandomized studies. , 1974 .

[11]  John A. Ferejohn,et al.  On the Decline of Competition in Congressional Elections , 1977, American Political Science Review.

[12]  Morris P. Fiorina,et al.  Congress, keystone of the Washington establishment , 1977 .

[13]  Richard Born,et al.  Generational Replacement and the Growth of Incumbent Reelection Margins in the U.S. House , 1979, American Political Science Review.

[14]  James L. Payne,et al.  The Personal Electoral Advantage of House Incumbents, 1936-1976 , 1980 .

[15]  S. Welch,et al.  The Effects of Charges of Corruption on Voting Behavior in Congressional Elections, 1982-1990 , 1980, The Journal of Politics.

[16]  J. R. Alford,et al.  Increased Incumbency Advantage in the House , 1981, The Journal of Politics.

[17]  M. Collie.  Incumbency, Electoral Safety, and Turnover in the House of Representatives, 1952–76 , 1981, American Political Science Review.

[18]  John R. Wright,et al.  The Incumbency Effect in Congressional Elections: A Test of Two Explanations , 1983 .

[19]  Donald A. Gross,et al.  Changes in the Vote Margins for Congressional Candidates: A Specification of Historical Trends , 1984, American Political Science Review.

[20]  Christopher H. Achen.  The Statistical Analysis of Quasi-Experiments , 2023 .

[21]  Gary King,et al.  How Not to Lie with Statistics: Avoiding Common Mistakes in Quantitative Political Science , 1986 .

[22]  G. Jacobson,et al.  The Marginals Never Vanished: Incumbency and Competition in Elections to the U.S. House OfRepresentatives, 1952-1982 , 1987 .

[23]  G. King,et al.  Unifying Political Methodology: The Likelihood Theory of Statistical Inference , 1989 .

[24]  Bruce E. Cain,et al.  The Personal Vote: Constituency Service and Electoral Independence , 1990 .

[25]  Gary King,et al.  Systematic Consequences of Incumbency Advantage in the U.S. House Elections , 1991 .