AN INTRODUCTION TO BINARY RESPONSE REGRESSION AND ASSOCIATED TREND ANALYSES

An introduction and tutorial is presented for regression and trend analyses when data are observed in the form of proportions. The basic binomial probability model is assumed. Emphasis is placed on quantal response analyses, useful when a concomitant pr..

[1]  E. B. Wilson Probable Inference, the Law of Succession, and Statistical Inference , 1927 .

[2]  A. Wald Tests of statistical hypotheses concerning several parameters when the number of observations is large , 1943 .

[3]  F. Yates The analysis of contingency tables with groupings based on quantitative characters. , 1948, Biometrika.

[4]  W. G. Cochran Some Methods for Strengthening the Common χ 2 Tests , 1954 .

[5]  P. Armitage Tests for Linear Trends in Proportions and Frequencies , 1955 .

[6]  J. Kiefer ON THE NONRANDOMIZED OPTIMALITY AND RANDOMIZED NONOPTIMALITY OF SYMMETRICAL DESIGNS , 1958 .

[7]  L. A. Goodman Simultaneous Confidence Intervals for Contrasts Among Multinomial Populations , 1964 .

[8]  W. Hauck,et al.  Wald's Test as Applied to Hypotheses in Logit Analysis , 1977 .

[9]  John J. Gart,et al.  On the Robustness of Combined Tests for Trends in Proportions , 1980 .

[10]  B H Margolin,et al.  Analyses for binomial data, with application to the fluctuation test for mutagenicity. , 1981, Biometrics.

[11]  Khidir M. Abdelbasit,et al.  Experimental Design for Binary Data , 1983 .

[12]  Robert E Tarone Correctings tests for trend in proportions for skewness , 1986 .

[13]  S L Beal,et al.  Asymptotic confidence intervals for the difference between two binomial parameters for use with small samples. , 1987, Biometrics.

[14]  S. Moolgavkar,et al.  A Method for Computing Profile-Likelihood- Based Confidence Intervals , 1988 .

[15]  D. Duffy On continuity-corrected residuals in logistic regression , 1990 .

[16]  Christine Osborne,et al.  Statistical Calibration: A Review , 1991 .

[17]  Multiple comparisons for analyzing dichotomous response. , 1991, Biometrics.

[18]  S. O. Farwell,et al.  Analytical Use of Linear Regression. Part I: Regression Procedures for Calibration and Quantitation , 1992 .

[19]  Walter W. Piegorsch,et al.  Complementary Log Regression for Generalized Linear Models , 1992 .

[20]  Sample size for a dose-response study. , 1992, Journal of biopharmaceutical statistics.

[21]  J M Alho,et al.  On the computation of likelihood ratio and score test based confidence intervals in generalized linear models. , 1992, Statistics in medicine.

[22]  V. Flack,et al.  Sample size determinations using logistic regression with pilot data. , 1993, Statistics in medicine.

[23]  C. Mehta,et al.  Exact Power of Conditional and Unconditional Tests: Going beyond the 2 × 2 Contingency Table , 1993 .

[24]  Diagnostics for binomial response models using power divergence statistics , 1993 .

[25]  J. Grego Generalized Linear Models and Process Variation , 1993 .

[26]  C. F. Wu,et al.  Optimal designs for binary response experiments: Fieller, D, and A criteria , 1993 .

[27]  Randy R. Sitter,et al.  On the Accuracy of Fieller Intervals for Binary Response Data , 1993 .

[28]  R. H. Myers,et al.  Some alphabetic optimal designs for the logistic regression model , 1994 .

[29]  J. Alho,et al.  Interval estimation of inverse dose-response. , 1995, Biometrics.