The LOGSELECT Procedure

Agresti, A. (2013). Categorical Data Analysis. 3rd ed. Hoboken, NJ: John Wiley & Sons.

Akaike, H. (1974). “A New Look at the Statistical Model Identification.” IEEE Transactions on Automatic Control AC-19:716–723.

Albert, A., and Anderson, J. A. (1984). “On the Existence of Maximum Likelihood Estimates in Logistic Regression Models.” Biometrika 71:1–10.

Allison, P. D. (2012). Logistic Regression Using SAS: Theory and Application. 2nd ed. Cary, NC: SAS Institute Inc.

Brier, G. W. (1950). “Verification of Forecasts Expressed in Terms of Probability.” Monthly Weather Review 78:1–3.

Burnham, K. P., and Anderson, D. R. (1998). Model Selection and Inference: A Practical Information-Theoretic Approach. New York: Springer-Verlag.

Collett, D. (2003). Modelling Binary Data. 2nd ed. London: Chapman & Hall.

Cook, R. D., and Weisberg, S. (1982). Residuals and Influence in Regression. New York: Chapman & Hall.

Cox, D. R., and Snell, E. J. (1989). The Analysis of Binary Data. 2nd ed. London: Chapman & Hall.

Fagerland, M. W., and Hosmer, D. W. (2013). “A Goodness-of-Fit Test for the Proportional Odds Regression Model.” Statistics in Medicine 32:2235–2249.

Fagerland, M. W., and Hosmer, D. W. (2016). “Tests for Goodness of Fit in Ordinal Logistic Regression Models.” Journal of Statistical Computation and Simulation 86:3398–3418.

Fagerland, M. W., Hosmer, D. W., and Bofin, A. M. (2008). “Multinomial Goodness-of-Fit Tests for Logistic Regression Models.” Statistics in Medicine 27:4238–4253.

Fleiss, J. L., Levin, B., and Paik, M. C. (2003). Statistical Methods for Rates and Proportions. 3rd ed. Hoboken, NJ: John Wiley & Sons.

Hastie, T. J., Tibshirani, R. J., and Friedman, J. H. (2009). The Elements of Statistical Learning: Data Mining, Inference, and Prediction. 2nd ed. New York: Springer-Verlag.

Hosmer, D. W., Jr., and Lemeshow, S. (2000). Applied Logistic Regression. 2nd ed. New York: John Wiley & Sons.

Hosmer, D. W., Jr., and Lemeshow, S. (2013). Applied Logistic Regression. 3rd ed. New York: John Wiley & Sons.

Hurvich, C. M., and Tsai, C.-L. (1989). “Regression and Time Series Model Selection in Small Samples.” Biometrika 76:297–307.

Lawless, J. F., and Singhal, K. (1978). “Efficient Screening of Nonnormal Regression Models.” Biometrics 34:318–327.

Littell, R. C., Freund, R. J., and Spector, P. C. (1991). SAS System for Linear Models. 3rd ed. Cary, NC: SAS Institute Inc.

Magee, L. (1990). “ Measures Based on Wald and Likelihood Ratio Joint Significant Tests.” American Statistician 44:250–253.

McCullagh, P., and Nelder, J. A. (1989). Generalized Linear Models. 2nd ed. London: Chapman & Hall.

McFadden, D. (1974). “Conditional Logit Analysis of Qualitative Choice Behavior.” In Frontiers in Econometrics, edited by P. Zarembka, 105–142. New York: Academic Press.

McNicol, D. (2005). A Primer of Signal Detection Theory. Mahwah, NJ: Lawrence Erlbaum Associates.

Muller, K. E., and Fetterman, B. A. (2002). Regression and ANOVA: An Integrated Approach Using SAS Software. Cary, NC: SAS Institute Inc.

Murphy, A. H. (1973). “A New Vector Partition of the Probability Score.” Journal of Applied Meteorology 12:595–600.

Nagelkerke, N. J. D. (1991). “A Note on a General Definition of the Coefficient of Determination.” Biometrika 78:691–692.

Nelder, J. A., and Wedderburn, R. W. M. (1972). “Generalized Linear Models.” Journal of the Royal Statistical Society, Series A 135:370–384.

Paul, P., Pennell, M. L., and Lemeshow, S. (2013). “Standardizing the Power of the Hosmer-Lemeshow Goodness of Fit Test in Large Data Sets.” Statistics in Medicine 32:67–80.

Pepe, M. S. (2003). The Statistical Evaluation of Medical Tests for Classification and Prediction. New York: Oxford University Press.

Pregibon, D. (1981). “Logistic Regression Diagnostics.” Annals of Statistics 9:705–724.

Santner, T. J., and Duffy, D. E. (1986). “A Note on A. Albert and J. A. Anderson’s Conditions for the Existence of Maximum Likelihood Estimates in Logistic Regression Models.” Biometrika 73:755–758.

Schwarz, G. (1978). “Estimating the Dimension of a Model.” Annals of Statistics 6:461–464.

Stokes, M. E., Davis, C. S., and Koch, G. G. (2012). Categorical Data Analysis Using SAS. 3rd ed. Cary, NC: SAS Institute Inc.

Tjur, T. (2009). “Coefficients of Determination in Logistic Regression Models—a New Proposal: The Coefficient of Discrimination.” American Statistician 63:366–372.