Maximally selected chi2 statistics for k x 2 tables

Biometrics
R A Betensky, D Rabinowitz

Abstract

It is common in epidemiologic analyses to summarize continuous outcomes as falling above or below a threshold. With such a dichotomized outcome, the usual chi2 statistics for association or trend can be used to test for equality of proportions across strata of the study population. However, if the threshold is chosen to maximize the test statistic, the nominal chi2 reference distributions are incorrect. In this paper, the asymptotic distributions of maximally selected chi2 statistics for association and for trend for the k x 2 table are derived. The methodology is illustrated with data from an AIDS clinical trial. The results of simulation experiments that assess the accuracy of the asymptotic distributions in moderate sample sizes are also reported.

References

Dec 12, 1986·JAMA : the Journal of the American Medical Association·K J Rothman

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Citations

Sep 14, 2000·Biometrics·D Rabinowitz, R A Betensky
May 26, 2004·Statistics in Medicine·Norbert HolländerMartin Schumacher
Nov 11, 2006·Biometrical Journal. Biometrische Zeitschrift·Anne-Laure Boulesteix
Jul 19, 2006·Biometrical Journal. Biometrische Zeitschrift·Anne-Laure Boulesteix
Mar 8, 2008·Biometrics·Torsten Hothorn, Achim Zeileis
Jun 26, 2012·Statistics in Medicine·Eugene LaskaJoseph Wanderling
Jun 12, 2014·Journal of Biopharmaceutical Statistics·Chia-Hao ChangMing-Hsueh Lee
Dec 11, 2007·European Journal of Cancer : Official Journal for European Organization for Research and Treatment of Cancer (EORTC) [and] European Association for Cancer Research (EACR)·Takako Eguchi NakajimaKuniaki Shirao
Jan 16, 2017·Statistics in Medicine·Marvin N WrightAndreas Ziegler
Jan 8, 2019·Computational Statistics & Data Analysis·Sy Han ChiouUNKNOWN Harvard Aging Brain Study

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