Models for Discrete Data

1. Introduction 2. Sampling distributions 3. Logistic regression 4. Log-linear models 5. Coordinate-free models 6. Additional topics Appendix A: Power for chi-squared tests Appendix B: Program for exact tests Appendix C: The hypergeometric distribution References Selected solutions and hints Index Examples index Author index Subject index

[1]  P. Mielke,et al.  Cumulant methods for analysing independence of r-way contingency tables and goodness-of-fit frequency data , 1988 .

[2]  G. Koch,et al.  Analysis of categorical data by linear models. , 1969, Biometrics.

[3]  L. A. Goodman The Analysis of Cross-Classified Data: Independence, Quasi-Independence, and Interactions in Contingency Tables with or without Missing Entries , 1968 .

[4]  J. Ambrus,et al.  Estrogens and endometrial cancer. , 1976, Behavioral neuropsychiatry.

[5]  N D Holmquist,et al.  Variability in classification of carcinoma in situ of the uterine cervix. , 1967, Archives of pathology.

[6]  Stephen E. Fienberg,et al.  Quasi-independence and Maximum Likelihood Estimation in Incomplete Contingency Tables , 1970 .

[7]  A. Feinstein,et al.  Estrogens and endometrial cancer. Responses to arguments and current status of an epidemiologic controversy. , 1986, The American journal of medicine.

[8]  Timothy R. C. Read,et al.  Multinomial goodness-of-fit tests , 1984 .

[9]  D. Collett,et al.  Modelling Binary Data. , 1994 .

[10]  Stephen E. Fienberg,et al.  The analysis of cross-classified categorical data , 1980 .

[11]  M. Pike,et al.  Tonsillectomy and Hodgkin's disease. , 1973, Lancet.

[12]  J. Lindsey,et al.  Modelling Frequency and Count Data , 1995 .

[13]  W. Haenszel,et al.  Statistical aspects of the analysis of data from retrospective studies of disease. , 1959, Journal of the National Cancer Institute.

[14]  Jim Albert,et al.  Ordinal Data Modeling , 2000 .

[15]  J. A. Nelder,et al.  The Analysis of Categorical Data. , 1975 .

[16]  R. Fisher On the Interpretation of χ2 from Contingency Tables, and the Calculation of P , 2018, Journal of the Royal Statistical Society Series A (Statistics in Society).

[17]  Stuart R. Lipsitz,et al.  A Model for Binary Time Series Data with Serial Odds Ratio Patterns , 1995 .

[18]  R. Bruce,et al.  Comparative Effects of Aging and Coronary Heart Disease on Submaximal and Maximal Exercise , 1969, Circulation.

[19]  Pravin K. Trivedi,et al.  Regression Analysis of Count Data , 1998 .

[20]  Alan Agresti,et al.  Categorical Data Analysis , 1991, International Encyclopedia of Statistical Science.

[21]  R. L. Knight,et al.  Agonistic asymmetries and the foraging ecology of bald eagles , 1988 .

[22]  Ronald Christensen,et al.  Log-Linear Models and Logistic Regression , 1997 .

[23]  P. Greenwald,et al.  Tonsillectomy and Hodgkin's disease: the lymphoid tissue barrier. , 1971, Lancet.

[24]  M. Pagano,et al.  Methods for Exact Goodness-of-Fit Tests , 1992 .

[25]  J. Lingoes The Multivariate Analysis Of Qualitative Data , 1968 .

[26]  G. Kelly The median lethal dose design and estimation , 2001 .

[27]  Tests of homogeneity for the relative risk in multiply-matched case-control studies. , 1991, Biometrics.

[28]  R. Simon,et al.  Optimal two-stage designs for phase II clinical trials. , 1989, Controlled clinical trials.

[29]  T. Lumley Generalized estimating equations for ordinal data: a note on working correlation structures. , 1996, Biometrics.

[30]  Michael Friendly,et al.  Extending Mosaic Displays: Marginal, Conditional, and Partial Views of Categorical Data , 1999 .

[31]  Gordon Cook,et al.  11. Applied Categorical Data Analysis , 1988 .

[32]  K. Pearson On the χ 2 Test of Goodness of Fit , 1922 .

[33]  Kathryn Roeder,et al.  Overdispersion Diagnostics for Generalized Linear Models , 1995 .

[34]  W. Deming,et al.  On a Least Squares Adjustment of a Sampled Frequency Table When the Expected Marginal Totals are Known , 1940 .

[35]  D. Cox,et al.  Discrimination between alternative binary response models. , 1967, Biometrika.

[36]  Isaac N. Gibra Probability and Statistical Inference for Scientists and Engineers , 1973 .

[37]  Norbert Henze,et al.  Recent and classical goodness-of-fit tests for the Poisson distribution , 2000 .

[38]  M. Espeland,et al.  Using latent class models to characterize and assess relative error in discrete measurements. , 1989, Biometrics.

[39]  Erling B. Andersen,et al.  Introduction to the Statistical Analysis of Categorical Data , 1997 .

[40]  Gene H. Golub,et al.  Matrix computations , 1983 .

[41]  David W. Hosmer,et al.  Applied Logistic Regression , 1991 .

[42]  B. Woolf ON ESTIMATING THE RELATION BETWEEN BLOOD GROUP AND DISEASE , 1955, Annals of human genetics.

[43]  A. W. Kemp,et al.  Univariate Discrete Distributions , 1993 .

[44]  Clifford C. Clogg,et al.  Multivariate Analysis of Discrete Data , 1988 .

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

[46]  F. Hsieh,et al.  Sample size tables for logistic regression. , 1989, Statistics in medicine.

[47]  Thomas W. Schoener,et al.  Nonsynchronous Spatial Overlap of Lizards in Patchy Habitats , 1970 .

[48]  J J Gart,et al.  Bioassay of pesticides and industrial chemicals for tumorigenicity in mice: a preliminary note. , 1969, Journal of the National Cancer Institute.

[49]  R. Kodell,et al.  Dose and time responses models for the incidence of bladder and liver neoplasms in mice fed 2-acetylaminofluorene continuously. , 1980, Journal of environmental pathology and toxicology.

[50]  Robin Plackett The analysis of categorical data , 1974 .

[51]  J. Haldane THE EXACT VALUE OF THE MOMENTS OF THE DISTRIBUTION OF x2 USED AS A TEST OF GOODNESS OF FIT, WHEN EXPECTATIONS ARE SMALL , 1937 .

[52]  R. Johnson,et al.  Tonsillectomy history in Hodgkin's disease. , 1972, The New England journal of medicine.

[53]  R. McHugh,et al.  Testing the homogeneity of the relative risk under multiple matching , 1984 .

[54]  P. Raven,et al.  Species Number and Endemism: The Gal�pagos Archipelago Revisited , 1973, Science.

[55]  T P Muller,et al.  Analysis of contingency table data on torus mandibularis using a log linear model. , 1971, American journal of physical anthropology.

[56]  A. Agresti An introduction to categorical data analysis , 1997 .

[57]  M. Tan,et al.  Random effects models in latent class analysis for evaluating accuracy of diagnostic tests. , 1996, Biometrics.

[58]  G G Koch,et al.  An application of multivariate ratio methods for the analysis of a longitudinal clinical trial with missing data. , 1978, Biometrics.

[59]  R. Tsutakawa Mixed model for analyzing geographic variability in mortality rates. , 1988, Journal of the American Statistical Association.

[60]  Jeffrey E. Harris,et al.  Bayes Methods for Combining the Results of Cancer Studies in Humans and other Species , 1983 .

[61]  A. Martín Andrés,et al.  Choosing the optimal unconditioned test for comparing two independent proportions , 1994 .

[62]  David E. Hapeman Statistical Analysis of Categorical Data , 2000, Technometrics.

[63]  Testing for interaction in multiply-matched case-control studies , 1985 .

[64]  V. Srinivasan,et al.  A Simultaneous Approach to Market Segmentation and Market Structuring , 1987 .

[65]  K. Liang,et al.  Tests for homogeneity of odds ratio when the data are sparse , 1985 .

[66]  Nitin R. Patel,et al.  A Network Algorithm for Performing Fisher's Exact Test in r × c Contingency Tables , 1983 .

[67]  E. Fowlkes,et al.  Evaluating Logistic Models for Large Contingency Tables , 1988 .

[68]  G. M. Tallis The Maximum Likelihood Estimation of Correlation from Contingency Tables , 1962 .

[69]  J. Worcester THE RELATIVE ODDS IN THE 23 CONTINGENCY TABLE , 1971 .

[70]  D. Pregibon Logistic Regression Diagnostics , 1981 .

[71]  D. J. Finney,et al.  The estimation from individual records of the relationship between dose and quantal response. , 1947, Biometrika.

[72]  Pravin K. Trivedi,et al.  Regression Analysis of Count Data , 1998 .