On the small-sample properties of the Mantel-Haenszel test for relative risk
Biometrika, 1974SUMMARY For the analysis of combinations of 2 x 2 contingency tables Cochran (1954) and also Mantel & Haenszel (1959) proposed related statistics for the null hypothesis that the relative risk i/ has the value unity from table to table. Using the model with constant effects on a logistic scale of probabilities (e.g. Cox, 1970), this paper presents some
Bennett, B. M., Kaneshiro, C.
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A Simple Mantel–Haenszel Type Test for Noninferiority
Statistics in Biopharmaceutical Research, 2020Randomized clinical trials designed to establish noninferiority of an experimental therapy as compared to a standard (active-control) therapy as measured by binomial proportions are being widely us...
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The Kruskal–Wallis tests are Cochran–Mantel–Haenszel mean score tests
METRON, 2020The Kruskal–Wallis tests are appropriate tests for the completely randomised design, both for when the data are untied ranks, and, with adjustment, for when there are ties and mid-ranks are used. Both these tests are shown to be Cochran–Mantel–Haenszel mean score tests.
J. C. W. Rayner, Glen Livingston
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On the Asymptotic Relative Efficiency of the Mantel‐Haenszel Test
Biometrical Journal, 1987AbstractThe Mantel‐Haenszel test is optimal when the odds ratio is constant. This paper investigates the effects of departures from the assumption of a constant odds ratio on the behavior of the Mantel‐Haenzel test. A simple approximation is proposed for the non‐null distribution of the test statistic.
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Propriety of the Mantel-Haenszel Variance for the Log Rank Test
Biometrika, 1985A challenge by \textit{M. Brown} [ibid. 71, 65-74 (1984; Zbl 0586.62061)] of the Mantel-Haenszel variance for the log rank test is dismissed as due to the nonasymptotic situation considered by Brown. Where the censoring mechanism in a time-to-response study could be influenced by treatment, the permutational variance is inappropriate and the Mantel ...
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Multiple imputation score tests and an application to Cochran‐Mantel‐Haenszel statistics
Statistics in Medicine, 2020The standard multiple imputation technique focuses on parameter estimation. In this study, we describe a method for conducting score tests following multiple imputation. As an important application, we use the Cochran‐Mantel‐Haenszel (CMH) test as a score test and compare the proposed multiple imputation method with a method based on the Wilson ...
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The effect of grouping on the power of the Mantel—Haenszel test for the comparison of survival rates
Statistics & Probability Letters, 1993Abstract A criterion is found which determines, for a simple case, whether pooling observations increases or decreases the asymptotic efficiency of the Mantel—Haenszel test for treatment effect, in uncensored long term comparative trials in discrete time, under arbitrary one sided alternatives.
Berger, Agnes, Wallenstein, Sylvan
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Adjustments to the mantel–haenszel test for data from stratified multistage surveys
Statistics in Medicine, 1992AbstractThe usual form of the Mantel–Haenszel test statistic assumes independent observations. This is inappropriate for data from a stratified multistage survey. Two alternative adjustments to the test statistic are developed to deal with this: (a) a modification of the effective sample size for each row of each table, using the design effects ...
D R, Weerasekera, S, Bennett
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Statistical Equivalence Testing Approaches for Mantel–Haenszel DIF Analysis
Journal of Educational and Behavioral Statistics, 2017The null hypothesis test used in differential item functioning (DIF) detection tests for a subgroup difference in item-level performance—if the null hypothesis of “no DIF” is rejected, the item is flagged for DIF. Conversely, an item is kept in the test form if there is insufficient evidence of DIF. We present frequentist and empirical Bayes approaches
Jodi M. Casabianca, Charles Lewis
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On an approximation to the power function of the mantel haenszel test for relative risk
Journal of Statistical Computation and Simulation, 1977A normal approximation is developed for the power function of the mantel Haenszel (1959) test statistic for the hypothesis that the relative risk is unity in k 2 x 2 contingency tables. Certain numerical comparisons are made for k=2,3 with the exact power as computed by Bennett and Kaneshiro (1974)
B.M. Bennett, M.P. Allshouse
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