BibTex RIS Kaynak Göster

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

Yıl 2014, Cilt: 3 Sayı: 1, 1 - 10, 17.03.2014
https://doi.org/10.20290/btdb.14728

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

Kaynakça

  • Begg, M.D. and Lagakos, S. (1990). On The Consequences of Model Misspecification in Logistic Regression. Environmental Health Perspectives, 87: 69-75.
  • 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.
  • 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.
  • Cox, D.R. (1957). Note on Grouping. Journal of the American Statistical Association, 53(280): 543- 547.
  • Cox, D.R. and Snell, E.J. (1989). The Analysis of Binary Data. London: Chapman and Hall.
  • 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.
  • Hu, B., Palta, M., Shao, J. (2006). Properties of R Statistics for Logistic Regression. Statistics in
  • Statistics for Logistic Regression. Statistics in
  • Medicine, 25: 1383-1395.
  • Keele, L.J. (2008). Semiparametric Regression for The Social Sciences. Wiley.
  • Kvalseth, T.O. (1985). Cautionary Note About R. The American Statistician, 39: 279-285.
  • Lagakos, S.W. (1988). Effects of Mismodelling and Mismeasuring Explanatory Variables on Tests of Their Association with A Response Variable. Statistics in Medicine, 7: 257-274.
  • Leightner, J. E., and Inoue, T. (2007). Tackling The Omitted Variables Problem Without The Strong Assumptions of Proxies. European Journal of Operational Research, 178: 819–840.
  • Menard, S. (2000). Coefficients of Determination for Multiple Logistic Regression Analysis. The American Statistician, 54(1): 17-24.
  • Menard, S. (2002). Applied Logistic Regression Analysis, Second Edition. SAGE.
  • McFadden, D. (1974). The Measurement of Urban Travel Demand. Journal of Public Economies, 3:303-328.
  • Mittlböck, M. and Schemper, M. (1996). Explained Variation for Logistic Regression. Statistics in Medicine, 15: 1987-1997.
  • Nagelkerke, N.J.D. (1991). A Note on A General Definition of The Coefficient of Determination. Biometrica, 78: 691-692.
  • Nemes, S., Jonasson, J.M., Genell, A. and Steineck, G. (2009). Bias in Odds Ratios By Logistic Regression Modeling and Sample Size. BMC Medical Research Methodology, 9(56).
  • Tosteson, T.D. and Tsiatis, A.A. (1988). The Asymptotic Relative Efficiency of Score Tests in A Generalized Linear Model with Surrogate Covariates. Biometrica, 75(3): 507-514.

LOJİSTİK REGRESYONDA BİR AÇIKLAYICI DEĞİŞKENİN YANLIŞ TANUMLANMASININ BELİRTME KATSAYILARI ÜZERİNDEKİ ETKİLERİ

Yıl 2014, Cilt: 3 Sayı: 1, 1 - 10, 17.03.2014
https://doi.org/10.20290/btdb.14728

Öz

Kaynakça

  • Begg, M.D. and Lagakos, S. (1990). On The Consequences of Model Misspecification in Logistic Regression. Environmental Health Perspectives, 87: 69-75.
  • 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.
  • 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.
  • Cox, D.R. (1957). Note on Grouping. Journal of the American Statistical Association, 53(280): 543- 547.
  • Cox, D.R. and Snell, E.J. (1989). The Analysis of Binary Data. London: Chapman and Hall.
  • 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.
  • Hu, B., Palta, M., Shao, J. (2006). Properties of R Statistics for Logistic Regression. Statistics in
  • Statistics for Logistic Regression. Statistics in
  • Medicine, 25: 1383-1395.
  • Keele, L.J. (2008). Semiparametric Regression for The Social Sciences. Wiley.
  • Kvalseth, T.O. (1985). Cautionary Note About R. The American Statistician, 39: 279-285.
  • Lagakos, S.W. (1988). Effects of Mismodelling and Mismeasuring Explanatory Variables on Tests of Their Association with A Response Variable. Statistics in Medicine, 7: 257-274.
  • Leightner, J. E., and Inoue, T. (2007). Tackling The Omitted Variables Problem Without The Strong Assumptions of Proxies. European Journal of Operational Research, 178: 819–840.
  • Menard, S. (2000). Coefficients of Determination for Multiple Logistic Regression Analysis. The American Statistician, 54(1): 17-24.
  • Menard, S. (2002). Applied Logistic Regression Analysis, Second Edition. SAGE.
  • McFadden, D. (1974). The Measurement of Urban Travel Demand. Journal of Public Economies, 3:303-328.
  • Mittlböck, M. and Schemper, M. (1996). Explained Variation for Logistic Regression. Statistics in Medicine, 15: 1987-1997.
  • Nagelkerke, N.J.D. (1991). A Note on A General Definition of The Coefficient of Determination. Biometrica, 78: 691-692.
  • Nemes, S., Jonasson, J.M., Genell, A. and Steineck, G. (2009). Bias in Odds Ratios By Logistic Regression Modeling and Sample Size. BMC Medical Research Methodology, 9(56).
  • Tosteson, T.D. and Tsiatis, A.A. (1988). The Asymptotic Relative Efficiency of Score Tests in A Generalized Linear Model with Surrogate Covariates. Biometrica, 75(3): 507-514.
Toplam 20 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Suay Ereeş

Suay Erees

Aylin Alın

Yayımlanma Tarihi 17 Mart 2014
Yayımlandığı Sayı Yıl 2014 Cilt: 3 Sayı: 1

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