One of the simplest and most widely used multiple comparison tests is the Bonferroni adjustment (test). It is applicable to the following situations: 1) Regardless of whether or not the sample sizes of each group are equal. 2) When the family of interest is the particular set of comparisons (not all pair-wise comparisons). We can easily obtain the results of the Bonferroni comparison by multipl...

Classical statistical tests may be sensitive to violations of the fundamental model assumptions inherent in the derivation and construction of these tests. It is obvious that such violations are much more probable in the presence of vague data. Thus nonparametric tests seem to be promising statistical tools. A generalization of the median test for the two-sample problem with vague data is sugge...

A kernel embedding of probability distributions into reproducing kernel Hilbert spaces (RKHS) has recently been proposed, which allows the comparison of two probability measures P and Q based on the distance between their respective embeddings: for a sufficiently rich RKHS, this distance is zero if and only if P and Q coincide. In using this distance as a statistic for a test of whether two sam...

In the current paper, the finite-sample stability of various implementations of the KPSS test is studied. The implementations considered differ in how the so-called long-run variance is estimated under the null hypothesis. More specifically, the effects that the choice of kernel, the value of the bandwidth parameter and the application of a prewhitening filter have on the KPSS test are investig...

Aims / Objectives: To introduce a statistical test, which is mixture of the one-sample t-test and Wilcoxon signed-rank test depends on sample kurtosis, using data from symmetric univariate distribution with finite variance.
 Study Approach: Computer simulation coverage probabilities power calculations either or based software R.
 Methodology: Data are generated differing sizes Normal,...

BACKGROUND In healthcare research, outcomes with skewed probability distributions are common. Sample size calculations for such outcomes are typically based on estimates on a transformed scale (e.g. log) which may sometimes be difficult to obtain. In contrast, estimates of median and variance on the untransformed scale are generally easier to pre-specify. The aim of this paper is to describe ho...

In clinical research, in addition to continuous responses, primary clinical endpoints for assessment of efficacy and safety of a drug product under investigation could be binary responses. For example, in cancer trials, patients’ clinical reaction to the treatment is often classified as response (e.g., complete response or partial response) or nonresponse. Based on these binary responses, the p...