×

On uniform generation of two-way tables with fixed margins and the conditional volume test of Diaconis and Efron. (English) Zbl 0888.62060

Summary: Two efficient Monte Carlo algorithms are proposed for uniformly generating two-way contingency tables with fixed margins. These permit some improvements on recent work of P. Diaconis, B. Efron and A. Gangolli [Ann. Stat. 13, 845-913 (1985; Zbl 0593.62040); IMA Vol. Math. Appl. 72, 15-41 (1995; Zbl 0839.05005)], especially concerning estimates of the total number of such tables.

MSC:

62H17 Contingency tables
62G99 Nonparametric inference
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] DIACONIS, P. and EFRON, B. 1985. Testing for independence in a two-way table: new interpretations of the chi-square statistic. Ann. Statist. 13 845 874. · Zbl 0593.62040 · doi:10.1214/aos/1176349634
[2] DIACONIS, P. and GANGOLLI, A. 1995. Rectangular array s with fixed margins. In Discrete Z. Probability and Algorithms D. Aldous, P. Diaconis, J. Spencer and J. M. Steele, eds. Springer, New York. · Zbl 0839.05005
[3] MEHTA, C. and PATEL, N. 1983. A network algorithm for performing Fisher’s exact test in r c contingency tables. J. Amer. Statist. Assoc. 78 427 434. JSTOR: · Zbl 0545.62039 · doi:10.2307/2288652
[4] SNEE, R. 1974. Graphical display of two-way contingency tables. Amer. Statist. 38 9 12. · Zbl 0361.62037 · doi:10.2307/2683520
[5] LEXINGTON, MASSACHUSETTS 02173 LOWELL, MASSACHUSETTS 01854
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.