A Robust Procedure for Comparing Multiple Means under Heteroscedasticity in Unbalanced Designs
نویسندگان
چکیده
منابع مشابه
A Robust Procedure for Comparing Multiple Means under Heteroscedasticity in Unbalanced Designs
Investigating differences between means of more than two groups or experimental conditions is a routine research question addressed in biology. In order to assess differences statistically, multiple comparison procedures are applied. The most prominent procedures of this type, the Dunnett and Tukey-Kramer test, control the probability of reporting at least one false positive result when the dat...
متن کاملRobust Semiparametric Optimal Testing Procedure for Multiple Normal Means
In high-dimensional gene expression experiments such as microarray and RNA-seq experiments, the number of measured variables is huge while the number of replicates is small. As a consequence, hypothesis testing is challenging because the power of tests can be very low after controlling multiple testing error. Optimal testing procedures with high average power while controlling false discovery r...
متن کاملOn Heteroscedasticity in Robust Regression
This work studies the phenomenon of heteroscedasticity and its consequences for various methods of linear regression, including the least squares, least weighted squares and regression quantiles. We focus on hypothesis tests for these regression methods. The new approach consists in deriving asymptotic heteroscedasticity tests for robust regression, which are asymptotically equivalent to standa...
متن کاملA studentized range test for the equivalency of normal means under heteroscedasticity
A studentized range test using a two-stage and a one-stage sampling procedures, respectively, is proposed for testing the hypothesis that the average deviation of the normal means is falling into a practical indifference zone. Both the level and the power of the proposed test associated with the hypotheses are controllable and they are completely independent of the unknown variances. The two-st...
متن کاملRobust designs in non-inferiority three arm clinical trials with presence of heteroscedasticity
In this paper, we describe an adjusted method to facilitate a non-inferiority trial by a three-arm robust design. Because local optimal designs derived in Hasler et al. [2007] require knowledge about the ratios of the population variances and are not necessarily robust with respect to possible misspecifications, a maximin approach is adopted. This method requires only the specification of an in...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: PLoS ONE
سال: 2010
ISSN: 1932-6203
DOI: 10.1371/journal.pone.0009788