Advanced search
Publication Cover
The American Statistician Volume 49, 1995 - Issue 2
Submit an article Journal homepage
86
Views
19
CrossRef citations to date
0
Altmetric
General

Generating Multivariate Categorical Variates Using the Iterative Proportional Fitting Algorithm

Stephen J. Gange Department of Epidemiology, Johns Hopkins University, Baltimore, MD, 21205, USA
Pages 134-138 | Received 01 Nov 1993, Published online: 27 Feb 2012

References

  • Agresti , A. 1990 . Categorical Data Analysis , New York : John Wiley .
  • Bishop , Y. M. M. , Fienberg , S. E. and Holland , P. W. 1975 . Discrete Multivariate Analysis: Theory and Practice , Cambridge , MA : MIT Press .
  • Deming , W. E. and Stephan , F. F. 1940 . “On a Least Squares Adjustment of a Sampled Frequency Table when the Expected Margins are Known” . Annals of Mathematical Statistics , 11 : 427 – 444 .
  • Devroye , L. 1986 . Non-Uniform Random Variate Generation , New York : Springer-Verlag .
  • Emrich , L. J. and Piedmonte , M. R. 1991 . “A Method for Generating High-Dimensional Multivariate Binary Variates” . The American Statistician , 45 : 302 – 304 .
  • Fitzmaurice , G. M. and Laird , N. M. 1993 . “A Likelihood-Based Method for Analysing Longitudinal Binary Responses” . Biometrika , 80 : 141 – 151 .
  • Gange , S. J. 1993 . “Generating Multivariate Ordinal Variates with Fixed Marginal and Pairwise Probabilities Using the Iterative Proportional Fitting Algorithm” , University of Wisconsin, Department of Biostatistics . Technical Report 83
  • Gange , S. J. , Linton , K. L. P. , Scott , A. J. , DeMets , D. L. and Klein , R. 1993 . “Analysis of Correlated Ordinal Measures with Ophthalmic Applications” , University of Wisconsin, Department of Biostatistics . Technical Report 77
  • Lee , A. J. 1993 . “Generating Random Binary Deviates Having Fixed Marginal Distributions and Specified Degrees of Association” . The American Statistician , 47 : 209 – 215 .
  • Liang , K. Y. and Zeger , S. L. 1986 . “Longitudinal Data Analysis Using Generalized Linear Models” . Biometrika , 73 : 13 – 22 .
  • 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 . 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 .
  • Pendergast , J. F. , Gange , S. J. , Lindstrom , M. J. , Newton , M. A. , Palta , M. and Fisher , M. F. 1993 . “A Survey of Methods for Analyzing Clustered Binary Data” , University of Wisconsin, Department of Biostatistics . Technical Report 82
  • Prentice , R. L. 1988 . “Correlated Binary Regression with Co-variates Specific to Each Binary Observation” . Biometrics , 44 : 1033 – 1048 .

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:

Order Reprints Request Corporate Permissions

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:

Request Academic Permissions

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.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.