EFFECTS OF MISSPECIFYING AN EXPLANATORY VARIABLE ON COEFFICIENTS OF DETERMINATION IN LOGISTIC REGRESSION

Cilt: 3 Sayı: 1 17 Mart 2014
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EFFECTS OF MISSPECIFYING AN EXPLANATORY VARIABLE ON COEFFICIENTS OF DETERMINATION IN LOGISTIC REGRESSION

Öz

Misspecifying an explanatory variable is a common problem in logistic regression as it is for all members of generalized linear models. Categorizing a continuous explanatory variable, using wrong functional form of an explanatory variable and omitting an explanatory variable from the model are commonly made misspecifications in logistic regression analysis. Studies show that all of these cases cause a loss in efficiency for test statistics. In this paper, the effects of these types of misspecification on asymptotic relative efficiency of different coefficients of determination are investigated. All calculations and comparisons are based on extensive simulation study using bootstrap methods

Anahtar Kelimeler

Misspecification; R-square; Asymptotic relative efficiency; Logistic regression; Bootstrapping

Kaynakça

  1. Begg, M.D. and Lagakos, S. (1990). On The Consequences of Model Misspecification in Logistic Regression. Environmental Health Perspectives, 87: 69-75.
  2. Begg, M.D. and Lagakos, S. (1992). Effects of Mismodelling on Tests of Association Based on Logistic Regression Models. The Annals of Statistics, 20(4): 1929-1952.
  3. Begg, M.D. and Lagakos, S. (1993). Loss in Efficiency Caused By Omitting Covariates and Misspecifying Exposure in Logistic Regression Models. Journal of The American Statistical Association, 88(421): 166-170.
  4. Cox, D.R. (1957). Note on Grouping. Journal of the American Statistical Association, 53(280): 543- 547.
  5. Cox, D.R. and Snell, E.J. (1989). The Analysis of Binary Data. London: Chapman and Hall.
  6. Erees, S. and Demirel, N. (2012). Omitted Variable Bias and Detection with Reset Test in Regression Analysis. Anadolu University Journal of Science and Technology -B- Theoretical Sciences, 2(1): 1-19.
  7. Hu, B., Palta, M., Shao, J. (2006). Properties of R Statistics for Logistic Regression. Statistics in
  8. Statistics for Logistic Regression. Statistics in
  9. Medicine, 25: 1383-1395.
  10. Keele, L.J. (2008). Semiparametric Regression for The Social Sciences. Wiley.

Kaynak Göster

APA
Ereeş, S., Erees, S., & Alın, A. (2014). EFFECTS OF MISSPECIFYING AN EXPLANATORY VARIABLE ON COEFFICIENTS OF DETERMINATION IN LOGISTIC REGRESSION. Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler, 3(1), 1-10. https://doi.org/10.20290/btdb.14728
AMA
1.Ereeş S, Erees S, Alın A. EFFECTS OF MISSPECIFYING AN EXPLANATORY VARIABLE ON COEFFICIENTS OF DETERMINATION IN LOGISTIC REGRESSION. AUBTD-B. 2014;3(1):1-10. doi:10.20290/btdb.14728
Chicago
Ereeş, Suay, Suay Erees, ve Aylin Alın. 2014. “EFFECTS OF MISSPECIFYING AN EXPLANATORY VARIABLE ON COEFFICIENTS OF DETERMINATION IN LOGISTIC REGRESSION”. Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler 3 (1): 1-10. https://doi.org/10.20290/btdb.14728.
EndNote
Ereeş S, Erees S, Alın A (01 Mart 2014) EFFECTS OF MISSPECIFYING AN EXPLANATORY VARIABLE ON COEFFICIENTS OF DETERMINATION IN LOGISTIC REGRESSION. Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler 3 1 1–10.
IEEE
[1]S. Ereeş, S. Erees, ve A. Alın, “EFFECTS OF MISSPECIFYING AN EXPLANATORY VARIABLE ON COEFFICIENTS OF DETERMINATION IN LOGISTIC REGRESSION”, AUBTD-B, c. 3, sy 1, ss. 1–10, Mar. 2014, doi: 10.20290/btdb.14728.
ISNAD
Ereeş, Suay - Erees, Suay - Alın, Aylin. “EFFECTS OF MISSPECIFYING AN EXPLANATORY VARIABLE ON COEFFICIENTS OF DETERMINATION IN LOGISTIC REGRESSION”. Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler 3/1 (01 Mart 2014): 1-10. https://doi.org/10.20290/btdb.14728.
JAMA
1.Ereeş S, Erees S, Alın A. EFFECTS OF MISSPECIFYING AN EXPLANATORY VARIABLE ON COEFFICIENTS OF DETERMINATION IN LOGISTIC REGRESSION. AUBTD-B. 2014;3:1–10.
MLA
Ereeş, Suay, vd. “EFFECTS OF MISSPECIFYING AN EXPLANATORY VARIABLE ON COEFFICIENTS OF DETERMINATION IN LOGISTIC REGRESSION”. Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler, c. 3, sy 1, Mart 2014, ss. 1-10, doi:10.20290/btdb.14728.
Vancouver
1.Suay Ereeş, Suay Erees, Aylin Alın. EFFECTS OF MISSPECIFYING AN EXPLANATORY VARIABLE ON COEFFICIENTS OF DETERMINATION IN LOGISTIC REGRESSION. AUBTD-B. 01 Mart 2014;3(1):1-10. doi:10.20290/btdb.14728