References

Agresti, A. (1984), Analysis of Ordinal Categorical Data, New York: John Wiley & Sons.

Agresti, A. (1990), Categorical Data Analysis, New York: John Wiley & Sons.

Agresti, A. (1992), “A Survey of Exact Inference for Contingency Tables,” Statistical Science, 7, 131–177.

Agresti, A. (2002), Categorical Data Analysis, Second Edition, New York: John Wiley & Sons.

Aitchison, J. and Silvey, S. (1957), “The Generalization of Probit Analysis to the Case of Multiple Responses,” Biometrika, 44, 131–140.

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. (1982), “Discrete-Time Methods for the Analysis of Event Histories,” in S. Leinhardt, ed., Sociological Methods and Research, volume 15, 61–98, San Francisco: Jossey-Bass.

Allison, P. D. (1999), Logistic Regression Using the SAS System: Theory and Application, Cary, NC: SAS Institute Inc.

Ashford, J. R. (1959), “An Approach to the Analysis of Data for Semi-Quantal Responses in Biology Response,” Biometrics, 15, 573–581.

Bartolucci, A. A. and Fraser, M. D. (1977), “Comparative Step-Up and Composite Test for Selecting Prognostic Indicator Associated with Survival,” Biometrical Journal, 19, 437–448.

Breslow, N. E. (1982), “Covariance Adjustment of Relative-Risk Estimates in Matched Studies,” Biometrics, 38, 661–672.

Breslow, N. E. and Day, N. E. (1980), Statistical Methods in Cancer Research, Volume I: The Analysis of Case-Control Studies, IARC Scientific Publications, No. 32, Lyon, France: International Agency for Research on Cancer.

Collett, D. (2003), Modelling Binary Data, Second Edition, London: Chapman & Hall.

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

Cox, D. R. (1970), The Analysis of Binary Data, New York: Chapman & Hall.

Cox, D. R. (1972), “Regression Models and Life Tables,” Journal of the Royal Statistical Society, Series B, 20, 187–220, with discussion.

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

DeLong, E. R., DeLong, D. M., and Clarke-Pearson, D. L. (1988), “Comparing the Areas under Two or More Correlated Receiver Operating Characteristic Curves: A Nonparametric Approach,” Biometrics, 44, 837–845.

Draper, C. C., Voller, A., and Carpenter, R. G. (1972), “The Epidemiologic Interpretation of Serologic Data in Malaria,” American Journal of Tropical Medicine and Hygiene, 21, 696–703.

Finney, D. J. (1947), “The Estimation from Individual Records of the Relationship between Dose and Quantal Response,” Biometrika, 34, 320–334.

Firth, D. (1993), “Bias Reduction of Maximum Likelihood Estimates,” Biometrika, 80, 27–38.

Fleiss, J. L. (1981), Statistical Methods for Rates and Proportions, Second Edition, New York: John Wiley & Sons.

Freeman, D. H., Jr. (1987), Applied Categorical Data Analysis, New York: Marcel Dekker.

Furnival, G. M. and Wilson, R. W. (1974), “Regression by Leaps and Bounds,” Technometrics, 16, 499–511.

Gail, M. H., Lubin, J. H., and Rubinstein, L. V. (1981), “Likelihood Calculations for Matched Case-Control Studies and Survival Studies with Tied Death Times,” Biometrika, 68, 703–707.

Hanley, J. A. and McNeil, B. J. (1982), “The Meaning and Use of the Area under a Receiver Operating Characteristic (ROC) Curve,” Radiology, 143, 29–36.

Harrell, F. E. (1986), “The LOGIST Procedure,” SUGI Supplemental Library Guide, Version 5 Edition.

Heinze, G. (1999), The Application of Firth’s Procedure to Cox and Logistic Regression, Technical Report 10/1999, update in January 2001, Section of Clinical Biometrics, Department of Medical Computer Sciences, University of Vienna.

Heinze, G. (2006), “A Comparative Investigation of Methods for Logistic Regression with Separated or Nearly Separated Data,” Statistics in Medicine, 25, 4216–4226.

Heinze, G. and Schemper, M. (2002), “A Solution to the Problem of Separation in Logistic Regression,” Statistics in Medicine, 21, 2409–2419.

Hirji, K. F. (1992), “Computing Exact Distributions for Polytomous Response Data,” Journal of the American Statistical Association, 87, 487–492.

Hirji, K. F., Mehta, C. R., and Patel, N. R. (1987), “Computing Distributions for Exact Logistic Regression,” Journal of the American Statistical Association, 82, 1110–1117.

Hirji, K. F., Mehta, C. R., and Patel, N. R. (1988), “Exact Inference for Matched Case-Control Studies,” Biometrics, 44, 803–814.

Hirji, K. F., Tsiatis, A. A., and Mehta, C. R. (1989), “Median Unbiased Estimation for Binary Data,” American Statistician, 43, 7–11.

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

Howard, S. (1972), “Discussion on the Paper by Cox,” in Regression Models and Life Tables, volume 34 of Journal of the Royal Statistical Society, Series B, 187–220, with discussion.

Izrael, D., Battaglia, A. A., Hoaglin, D. C., and Battaglia, M. P. (2002), “Use of the ROC Curve and the Bootstrap in Comparing Weighted Logistic Regression Models,” in Proceedings of the Twenty-seventh Annual SAS Users Group International Conference, Cary, NC: SAS Institute Inc., available at www2.sas.com/proceedings/sugi27/p248-27.pdf.

Lachin, J. M. (2000), Biostatistical Methods: The Assessment of Relative Risks, New York: John Wiley & Sons.

Lamotte, L. R. (2002), personal communication, June 2002.

Lancaster, H. O. (1961), “Significance Tests in Discrete Distributions,” Journal of the American Statistical Association, 56, 223–234.

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

Lee, E. T. (1974), “A Computer Program for Linear Logistic Regression Analysis,” Computer Programs in Biomedicine, 80–92.

McCullagh, P. and Nelder, J. A. (1989), Generalized Linear Models, Second Edition, London: Chapman & Hall.

McFadden, D. (1974), “Conditional Logit Analysis of Qualitative Choice Behaviour,” in P. Zarembka, ed., Frontiers in Econometrics, New York: Academic Press.

Mehta, C. R., Patel, N., and Senchaudhuri, P. (1992), “Exact Stratified Linear Rank Tests for Ordered Categorical and Binary Data,” Journal of Computational and Graphical Statistics, 1, 21–40.

Mehta, C. R., Patel, N., and Senchaudhuri, P. (2000), “Efficient Monte Carlo Methods for Conditional Logistic Regression,” Journal of the American Statistical Association, 95, 99–108.

Mehta, C. R. and Patel, N. R. (1995), “Exact Logistic Regression: Theory and Examples,” Statistics in Medicine, 14, 2143–2160.

Moolgavkar, S. H., Lustbader, E. D., and Venzon, D. J. (1985), “Assessing the Adequacy of the Logistic Regression Model for Matched Case-Control Studies,” Statistics in Medicine, 4, 425–435.

Naessens, J. M., Offord, K. P., Scott, W. F., and Daood, S. L. (1986), “The MCSTRAT Procedure,” in SUGI Supplemental Library User’s Guide, Version 5 Edition, 307–328, Cary, NC: SAS Institute Inc.

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.

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

Pregibon, D. (1984), “Data Analytic Methods for Matched Case-Control Studies,” Biometrics, 40, 639–651.

Prentice, P. L. and Gloeckler, L. A. (1978), “Regression Analysis of Grouped Survival Data with Applications to Breast Cancer Data,” Biometrics, 34, 57–67.

Press, S. J. and Wilson, S. (1978), “Choosing between Logistic Regression and Discriminant Analysis,” Journal of the American Statistical Association, 73, 699–705.

Santner, T. J. and Duffy, E. D. (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.

SAS Institute Inc. (1995), Logistic Regression Examples Using the SAS System, Cary, NC: SAS Institute Inc.

Stokes, M. E., Davis, C. S., and Koch, G. G. (2000), Categorical Data Analysis Using the SAS System, Second Edition, Cary, NC: SAS Institute Inc.

Storer, B. E. and Crowley, J. (1985), “A Diagnostic for Cox Regression and General Conditional Likelihoods,” Journal of the American Statistical Association, 80, 139–147.

Venzon, D. J. and Moolgavkar, S. H. (1988), “A Method for Computing Profile-Likelihood Based Confidence Intervals,” Applied Statistics, 37, 87–94.

Vollset, S. E., Hirji, K. F., and Afifi, A. A. (1991), “Evaluation of Exact and Asymptotic Interval Estimators in Logistic Analysis of Matched Case-Control Studies,” Biometrics, 47, 1311–1325.

Walker, S. H. and Duncan, D. B. (1967), “Estimation of the Probability of an Event as a Function of Several Independent Variables,” Biometrika, 54, 167–179.

Williams, D. A. (1982), “Extra-binomial Variation in Logistic Linear Models,” Applied Statistics, 31, 144–148.