Document Zbl 1110.62322

Exact likelihood ratio test of independence of binary responses within clusters. (English) Zbl 1110.62322

Comput. Stat. Data Anal. 33, No. 1, 15-23 (2000).

Summary: We consider the exact likelihood ratio test of independence of binary responses within clusters developed by E.O. George and R.L. Kodell [J. Am. Stat. Assoc., 91, No. 436, 1602–1610 (1996; Zbl 0883.62117)] conditional on the sufficient statistics for the nuisance parameter under the null hypothesis. Only an exchangeability of responses within clusters is assumed for the distribution of the observed vector. Two formulas for the exact P-values are obtained. An algorithm is proposed to avoid unnecessary enumeration when the cluster size is two. We compare the exact and asymptotic P-values in several cases.

Cited in 1 Document

MSC:

62G10	Nonparametric hypothesis testing
62B05	Sufficient statistics and fields
65C60	Computational problems in statistics (MSC2010)

Keywords:

Citations:

Zbl 0883.62117

Cite Review PDF

Full Text: DOI

References:

[1]	Agresti, A.: A survey of exact inference for contingency tables. Statist. sci. 7, 131-177 (1992) · Zbl 0955.62587
[2]	Berger, R. L.; Boos, D. D.: P-values maximized over a confidence set for the nuisance parameter. J. amer. Statist. assoc. 89, 1012-1016 (1994) · Zbl 0804.62018
[3]	Bowman, D.; George, E. O.: A saturated model for analyzing exchangeable binary data: applications to clinical and developmental toxicity studies. J. amer. Statist. assoc. 90, 871-879 (1995) · Zbl 0842.62088
[4]	George, E. O.; Kodell, R. L.: Tests of independence, treatment heterogeneity, and dose-related trend with exchangeable binary data. J. amer. Statist. assoc. 91, 1602-1611 (1996) · Zbl 0883.62117
[5]	George, E. O.; Bowman, D.: A full likelihood procedure for analysing exchangeable binary data. Biometrics 51, 512-523 (1995) · Zbl 0832.62092
[6]	Hansen, K., Mahoney, J., Palta, M. 1999. Risk factors of lack of recovery of ADL independence after hospital discharge. J. Amer. Geriatrics Soc., to appear.
[7]	Hilton, J.; Mehta, C. R.: Power and sample size calculations for exact conditional tests with ordered categorical data. Biometrics 49, 609-616 (1993) · Zbl 0800.62234
[8]	Hirji, K. F.: A comparison of exact, mid-P and score tests for matched case-control studies. Biometrics 47, 487-496 (1991)
[9]	Hirji, K. F.: Exact analysis for paired binary data. Biometrics 50, 964-974 (1994) · Zbl 0826.62081
[10]	Hirji, K. F.; Tan, S.; Elashoff, R. M.: A quasi-exact test for comparing two binomial parameters. Statist. med. 10, 1137-1153 (1991)
[11]	Kim, D.; Agresti, A.: Improved exact inference about conditional association in three-way contingency tables. J. amer. Statist. assoc. 90, 632-639 (1995) · Zbl 0925.62207
[12]	Lancaster, H. O.: Significance tests in discrete distribution. J. amer. Statist. assoc. 56, 223-234 (1961) · Zbl 0104.13201
[13]	Mandel, E.; Bluestone, C. D.; Rockette, H. E.; Blatter, M. M.; Reisinger, K. S.; Wucher, F. P.; Harper, J.: Duration of effusion after antibiotic treatment for acute otitis media: comparison of cefaclor and amoxicillin. Pediatric infectious diseases 1, 310-316 (1982)
[14]	Mehta, C. R.; Patel, N. R.; Senchaudhuri, P.: Exact power and sample-size computations for the cochran-armitage trend test. Biometrics 54, 1615-1621 (1998) · Zbl 1058.62633
[15]	Suissa, S.; Shuster, J. J.: Exact unconditional sample sizes for the \(2 {\times} 2\) binomial trial. J. roy. Statist. soc. Ser. A 148, 317-327 (1985) · Zbl 0585.62101
[16]	Upton, G. J. G.: A comparison of alternative tests for the \(2 {\times} 2\) comparative trial. J. roy. Statist. soc. Ser. A 145, 86-105 (1982)

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.