Optimal testing strategies for large, sparse multinomial models

Computational Statistics and Data Analysis

Volumn 46, Issue 3, 2004, Pages 605-620

  Maiste, Paul J ^a   Weir, Bruce S ^b  

^a JOHNS HOPKINS UNIVERSITY   (United States)

^b NORTH CAROLINA STATE UNIVERSITY   (United States)

Author keywords

Conditional test; Fisher's exact test; Goodness of fit; Hardy Weinberg equilibrium; Unconditional test

Indexed keywords

MATHEMATICAL MODELS; MAXIMUM LIKELIHOOD ESTIMATION; STATISTICS; TABLE LOOKUP;

MULTINOMIAL DATA SETS; SPARSE MULTINOMIAL MODELS;

DATA REDUCTION;

STATISTICAL ANALYSIS;

EID: 2642521933     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2003.08.002     Document Type: Article

References (35)

1. Agresti A. A survey of exact inference for contingency tables Statist. Sci. 7 1992 131-177
2. Agresti A. Wackerly D. Some exact conditional tests of independence for R× C cross-classification tables Psychometrika 42 1977 111-125
3. Agresti A. Yang M.C. An empirical investigation of some effects of sparseness in contingency tables Comput. Statist. Data Anal. 5 1987 9-21
4. Berger R.L. Boos D.D. P values maximized over a confidence set for the nuisance parameter J. Amer. Statist. Assoc. 89 1994 1012-1016
5. Berkson J. In dispraise of the exact test J. Statist. Plann. Inference 2 1978 27-42
6. Budowle, B., Moretti, T.R., 1999. Genotype profiles for six population groups at the 13 CODIS short tandem repeat core loci and other PCR-based loci. Forensic Sci. Commun. 1(2).
7. Budowle, B., Monson, K.L., Anoe, K.S., Baechtel, F.S., Bergman, D.L., Buel E., Campbell, P.A., Clement, M.E., Coey, H.W., Davis, L.A., Dixon, A., Fish, P., Giusti, A.M., Grant, T.L., Gronert, T.M., Hoover, D.M., Jankowski, L., Kilgore, A.J., Kimoto, W., Landrum, W.H., Leone, H., Longwell, C.R., MacLaren, D.C., Medlin, L.E., Narveson, S.D., Pierson, M.L., Pollock, J.M., Raquel, R.J., Reznicek, J.M., Rogers, G.S., Smerick, J.E., Thompson, R.M., 1991. A preliminary report on binned general population data on six VNTR loci in Caucasians, Blacks and Hispanics from the United States. Crime Lab. Digest 18, 9-26.
8. Chakraborty R. Zhong Y. Statistical power of an exact test of Hardy-Weinberg proportions of genotypic data at a multiallelic locus Hum. Heredity 44 1994 1-9
9. 2, -2 log R, and multinomial probability criteria for significance tests when expected frequencies are small J. Amer. Statist. Assoc. 71 1976 854-863
10. 2 tests Biometrics 10 1954 417-451
11. 2: A comparative review Internat. Statist. Rev. 57 1989 19-43
12. Cressie N. Read T.R.C. Multinomial goodness of fit tests J. Roy. Statist. Soc. B 46 1984 440-464
13. D'Agostino R.B. Chase W. Belanger A. The appropriateness of some common procedures for testing the equality of two independent binomial populations Amer. Statist. 42 1988 198-202
14. Emigh T.H. A comparison of tests for Hardy-Weinberg equilibrium Biometrics 36 1980 627-642
15. Gibbons J.D. Pratt J.W. P-values: Interpretation and methodology Amer. Statist. 29 1975 20-25
16. Guo S.W. Thompson E.A. Performing the exact test of Hardy-Weinberg proportion for multiple alleles Biometrics 48 1992 361-372
17. Haber M. A comparison of some conditional and unconditional exact tests for 2×2 contingency tables Comm. Statist. Simulation Comput. 16 1987 999-1013
18. Haber M. An exact unconditional test for the Hardy-Weinberg equilibrium Biometrical J. 36 1994 741-749
19. Kraemer D.F. Woolson R.F. A comparison of tests of homogeneity for sparse contingency tables Comm. Statist. Simulation Comput. 16 1987 465-483
20. Kraemer D.F. A Monte-Carlo study to evaluate the performance of selected tests of homogeneity in sparse contingency tables Biometrical J. 30 1988 763-778
21. Lawal H.B. Comparing power behaviours for some goodness-of-fit test statistics in sparse multinomials Biometrical J. 31 1989 297-306
22. Lawal H.B. Comparisons of some chi-squared goodness-of-fit test statistics in sparse one-way multinomials Biometrical J. 35 1993 589-599
23. Louis E.J. Dempster E.R. An exact test for Hardy-Weinberg equilibrium and multiple alleles Biometrics 43 1987 805-811
24. Maiste P.J. Weir B.S. A comparison of tests for independence in the FBI RFLP data bases Genetica 96 1995 125-138
25. Mehta C.R. Hilton J.F. Exact power of conditional and unconditional tests: Going beyond the 2×2 contingency table Amer. Statist. 47 1993 91-98
26. Parshall C.G. Kromrey J.D. Dailey R. Comparative power of three statistical tests of homogeneity for sparse I× J contingency tables Comm. Statist. Simulation Comput. 28 1999 275-289
27. 2 test of goodness of fit J. Amer. Statist. Assoc. 70 1975 811-813
28. Storer B.E. Kim C. Exact properties of some exact test statistics for comparing two binomial proportions J. Amer. Statist. Assoc. 85 1990 146-155
29. Suissa S. Shuster J.J. Exact unconditional sample sizes for the 2×2 binomial trial J. Roy. Statist. Soc. A 148 1985 317-327
30. Tang M.L. Small-sample study of the use of mid-p power divergence goodness-of-fit tests J. Statist. Comput. Simulation 62 1998 137-180
31. Upton G.J.G. A comparison of alternative tests for the 2×2 comparative trial J. Roy. Statist. Soc. A 145 1982 86-105
32. Wakimoto K. Odaka Y. Kang L. Testing the goodness of fit of the multinomial distribution based on graphical representation Comput. Statist. Data Anal. 5 1987 137-147
33. Weir, B.S., 1996. Genetic Data Anal. II. Sunderland, MA, Sinauer.
34. 2 and likelihood ratio tests for composite alternatives J. Statist. Comput. Simulation 1 1971 1-33
35. Zelterman D. Chan I.S. Mielke P.W. Jr. Exact tests of significance in higher dimensional tables Amer. Statist. 49 1995 357-361