50
Views
44
CrossRef citations to date
0
Altmetric
Applications and Case Study

A Saturated Model for Analyzing Exchangeable Binary Data: Applications to Clinical and Developmental Toxicity Studies

&
Pages 871-879 | Received 01 Feb 1993, Published online: 27 Feb 2012

References

  • Bahadur , R. R. 1961 . “A Representation of the Joint Distribution of Responses to n Dichotomous Items,” . In Studies in Item Analysis and Prediction , Edited by: Solomon , H. Stanford , CA : Stanford University Press .
  • Bowman , D. , Chen , J. J. and George , E. O. 1994 . “Estimating Variance Functions in Developmental Toxicity Studies,” Submitted to Biometrics.
  • Catalano , P. J. and Ryan , L. M. 1992 . “Bivariate Latent Variable Models for Clustered Discrete and Continuous Outcomes,” . Journal of the American Statistical Association , 87 : 651 – 658 .
  • Chen , J. J. and Gaylor , D. W. 1992 . “Correlations of Developmental End Points Observed After 2,4,5-Trichlorophenoxyacetic Acid Exposure in Mice,” . Teratology , 45 : 241 – 246 .
  • Chen , J. J. , Kodell , R. L. , Howe , R. B. and Gaylor , D. W. 1991 . “Analysis of Trinomial Responses From Reproductive and Developmental Toxicity Experiments,” . Biometric , 47 : 1049 – 1058 .
  • Cohen , B. H. 1980 . “Chronic Obstructive Pulmonary Disease: A Challenge in Genetic Epidemiology,” . American Journal of Epidemiology , 112 : 274 – 288 .
  • Cox , D. R. 1972 . “The Analysis of Multivariate Binary Data,” . Applied Statistics , 21 : 113 – 120 .
  • Darroch , J. N. 1981 . “The Mantel-Haenszel Test and Tests of Marginal Symmetry: Fixed-Effects and Mixed Models for a Categorical Response,” . International Statistical Review , 49 : 285 – 307 .
  • Ekholm , A. 1991 . “Fitting Regression Models to a Multivariate Binary Response,” . In A Spectrum of Statistical Thought: Essays in Statistical Theory, Economics and Population Genetics in Honour of Johan Fellman , Edited by: Rosenqvist , G. , Juselius , K. , Nordström , K. and Palmgren , J. Helsinki : Swedish School of Economics and Business Administration .
  • Freedman , D. 1980 . “A Mixture of Independent Identically Distributed Random Variables need not Admit a Regular Conditional Probability Given the Exchangeable σ-Field,” . Zeitschrift fur Wahrscheinlichkeits-theorie verw , 51 : 239 – 248 .
  • Gaylor , D. W. and Chen , J. J. 1993 . “Dose-Response Models for Developmental Malformations,” . Teratology , 47 : 291 – 297 .
  • George , E. O. and Bowman , D. 1994a . “A Full Likelihood Procedure for Analyzing Exchangeable Binary Data,” submitted to Biometrics.
  • George , E. O. and Bowman , D. 1994b . “An Exchangeable Bivariate Model for Analyzing Clustered Discrete and Continuous Outcomes,” in preparation
  • George , E. O. and Kodell , R. L. 1994 . “Tests of Independence, Heterogeneity and Dose-Related Trend with Exchangeable Binary Data,” submitted to Journal of the American Statistical Association.
  • Holson , J. F. , Gaines , T. B. , Nelson , C. J. , LaBorde , J. B. , Gaylor , D. W. , Sheehan , D. M. and Young , J. F. 1991 . “Developmental Toxicity of 2,4,5-Trichlorophenoxyacetic Acid I: Dose-Response Studies in Four Inbred Strains and One Outbred Stock of Mice,” . Fundamentals of Applied Toxicology , 19 : 286 – 297 .
  • Liang , K.-Y. , Zeger , S. L. and Qaqish , B. 1992 . “Multivariate Regression Analyses for Categorical Data” . Journal of the Royal Statistical Society , 54 : 3 – 40 . (with discussion), Ser. B
  • Lipsitz , S. R. , Laird , N. M. and Harrington , D. P. 1991 . “Generalized Estimating Equations for Correlated Binary Data: Using the Odds Ratio as a Measure of Association,” . Biometrika , 78 : 153 – 160 .
  • Mandel , E. , Bluestone , C. D. , Rockette , H. E. , Blatter , M. M. , Reisinger , K. S. , Wucher , F. P. and Harper , J. 1982 . “Duration of Effusion After Antibiotic Treatment for Acute Otitis Media: Comparison of Cefaclor and Amoxicillin,” . Pediatric Infectious Diseases , 1 : 310 – 316 .
  • Moore , D. F. 1986 . “Asymptotic Properties of Moment Estimators for Overdispersed Counts and Proportions,” . Biometrika , 73 : 583 – 588 .
  • Moore , D. F. 1987 . “Modeling Extraneous Variance in the Presence of Extra-Binomial Variation,” . Applied Statistics , 36 : 8 – 14 .
  • Prentice , R. L. 1986 . “Binary Regression Using an Extended Beta-Binomial Distribution With Discussion of Correlation Induced by Measurements,” . Journal of the American Statistical Association , 81 : 819 – 829 .
  • Rosner , B. 1989 . “Multivariate Methods for Clustered Binary Data With More Than One Level of Nesting,” . Journal of the American Statistical Association , 84 : 373 – 380 .
  • Ryan , L. M. 1992 . “Quantitative Risk Assessment for Developmental Toxicity,” . Biometrics , 48 : 163 – 174 .
  • Ryan , L. M. 1992 . “Using Historical Controls in the Analysis of Developmental Toxicity Data,” . Biometrics , 49 : 1126 – 1135 .
  • Ryan , L. M. , Catalano , P. J. , Kimmel , C. A. and Kimmel , G. L. 1991 . “Relationship Between Fetal Weight and Malformation in Developmental Toxicity Studies,” . Teratology , 44 : 215 – 223 .
  • Williams , D. A. 1975 . “The Analysis of Binary Responses From Toxicological Experiments Involving Reproduction and Teratogenicity,” . Biometrics , 31 : 949 – 952 .
  • Williams , D. A. 1982 . “Extra-Binomial Variation in Logistic Linear Models,” . Applied Statistics , 31 : 144 – 148 .
  • Zhao , L. P. and Prentice , R. L. 1990 . “Correlated Binary Regression Using a Quadratic Exponential Model,” . Biometrika , 77 : 642 – 648 .
  • Zhu , Y. , Krewski , D. and Ross , W. H. 1994 . “Multinomial Dose–Response Models for Developmental Toxicity Experiments,” unpublished
  • Zucker , D. and Wittes , J. 1992 . “Testing the Effect of Treatment in Experiments With Correlated Binary Outcomes,” . Biometrics , 48 : 695 – 710 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.