Simultaneous Logit-Based Confidence Intervals for Odds Ratios in 2 × k Classification Tables with a Fixed Reference Level

References

• Agresti , A. ( 1999 ). On logit confidence intervals for the odds ratio with small samples . Biometrics 55 : 597 – 602 .
   PubMed Web of Science ®Google Scholar
• Agresti , A. , Min , Y. ( 2001 ). On small-sample confidence intervals for parameters in discrete distributions . Biometrics 57 : 963 – 971 .
   PubMed Web of Science ®Google Scholar
• Anscombe , F. ( 1956 ). On estimating binomial response relations . Biometrika 43 : 461 – 464 .
   Web of Science ®Google Scholar
• Beal , S. ( 1987 ). Asymptotic confidence intervals for the difference between two binomial parameters for use with small samples . Biometrics 43 : 941 – 950 .
   PubMed Web of Science ®Google Scholar
• Brown , C. ( 1981 ). The validity of approximation methods for interval estimation of the odds ratio . Amer. J. Epidemiol. 113 : 474 – 480 .
   PubMed Web of Science ®Google Scholar
• Denning , P. , Campsmith , M. ( 2005 ). Unprotected anal intercourse among HIV-positive men who have a steady male sex partner with negative or unknown HIV serostatus . Amer. J. Public Health 95 : 152 – 158 .
   PubMed Web of Science ®Google Scholar
• Dunnett , C. ( 1955 ). A multiple comparison procedure for comparing several treatments with a control . J. Amer. Statist. Assoc. 50 : 1096 – 1121 .
   Web of Science ®Google Scholar
• Dunnett , C. ( 1989 ). Multivariate normal probability integrals with product correlation structure . Appl. Statist. 38 : 568 – 579 .
   Web of Science ®Google Scholar
• Gart , J. ( 1966 ). Alternative analyses of contingency tables . J. Roy. Statist. Soc. Ser. B 28 : 164 – 179 .
   Google Scholar
• Gart , J. , Thomas , D. ( 1982 ). The performance of three approximate confidence limit methods for the odds ratio . Amer. J. Epidemiol. 115 : 453 – 470 .
   PubMed Web of Science ®Google Scholar
• Goodman , L. ( 1964 ). Simultaneous confidence intervals for cross-product ratios in contingency tables . J. Roy. Statist. Soc. Ser. B 26 : 86 – 102 .
   Google Scholar
• Haldane , J. ( 1955 ). The estimation and significance of the logarithm of a ratio of frequencies . Ann. Human Genet. 19 : 251 – 253 .
   PubMedGoogle Scholar
• Holford , T. , Walter , S. , Dunnett , C. ( 1989 ). Simultaneous interval estimates of the odds ratio in studies with two or more comparisons . J. Clin. Epidemiol. 42 : 427 – 434 .
   PubMed Web of Science ®Google Scholar
• Hsu , J. ( 1996 ). Multiple Comparisons. Theory and Methods . Boca Raton , FL : Chapman and Hall/CRC .
   Google Scholar
• Hunter , D. ( 1976 ). An upper bound for the probability of a union . J. Appl. Probab. 13 : 597 – 603 .
   Web of Science ®Google Scholar
• Lin , C. , Yang , M. ( 2006 ). Improved exact confidence intervals for the odds ratio in two independent binomial samples . Biomet. J. 48 : 1008 – 1019 .
   PubMed Web of Science ®Google Scholar
• Lui , K. , Lin , C. ( 2003 ). A revisit on comparing the asymptotic interval estimators of odds ratio in a single 2 × 2 table . Biomet. J. 45 : 226 – 237 .
   Web of Science ®Google Scholar
• Marcus , M. , Freed , J. , Coulter , I. , Der-Martirosian , C. , Cunningham , W. , Andersen , R. , Garcia , I. , Schneider , D. , Mass , W. , Bozzette , S. , Shapiro , M. ( 2000 ). Perceived unmet need for oral treatment among a national population of HIV-positive medical patients: Social and clinical correlates . Amer. J. Public Health 90 : 1059 – 1063 .
   PubMed Web of Science ®Google Scholar
• McCann , M. , Edwards , D. ( 1996 ). A path-length inequality for multivariate t distributions, with applications to multiple comparisons . J. Amer. Statist. Assoc. 91 : 211 – 216 .
   Web of Science ®Google Scholar
• McCann , M. , Tebbs , J. ( 2007 ). Pairwise comparisons for proportions estimated by pooled testing . J. Statist. Plan. Infer. 137 : 1278 – 1290 .
   Web of Science ®Google Scholar
• Naiman , D. (1986). Conservative confidence bands in curvlinear regression. Ann. Statist. 14:896–906.
   Web of Science ®Google Scholar
• Piegorsch , W. ( 1991 ). Multiple comparisons for analyzing dichotomous response . Biometrics 47 : 45 – 52 .
   PubMed Web of Science ®Google Scholar
• Scheffé , H. ( 1953 ). A method for judging all contrasts in the analysis of variance . Biometrika 40 : 87 – 104 .
   Web of Science ®Google Scholar
• [Sbreve]idák , Z. ( 1967 ). Rectangular confidence regions for the means of multivariate normal distributions . J. Amer. Statist. Assoc. 62 : 626 – 633 .
   Web of Science ®Google Scholar
• Strasak , A. , Zaman , Q. , Marinell , G. , Pfeiffer , K. , Ulmer , H. ( 2007 ). The use of statistics in medical research: a comparison of The New England Journal of Medicine and Nature Medicine . Amer. Statistician 61 : 47 – 55 .
   Web of Science ®Google Scholar
• Wilson , P. , Langenberg , P. ( 1999 ). Usual and shortest confidence intervals on odds ratios from logistic regression . Amer. Statistician 53 : 332 – 335 .
   Web of Science ®Google Scholar
• Woolf , B. ( 1955 ). On estimating the relation between blood group and disease . Ann. Human Genet. 19 : 251 – 253 .
   PubMed Web of Science ®Google Scholar
• Worsley , K. ( 1982 ). An improved Bonferroni inequality and applications . Biometrika 69 : 297 – 302 .
   Web of Science ®Google Scholar