Often a statistical test is performed in which the observed outcome favors the alternative but the evidence in favor of the alternative is not statistically significant. Suppose that, for example, a researcher tests the hypothesis that the mean is 10 versus the alternative is less than 10 using a z-test. Suppose further that based on a sample of size 8, the p-value is 0.078 (hence the null hypo...

‎We extend the method of adaptive two-stage sequential sampling to‎‎include designs where there is more than one criteria is used in‎‎deciding on the allocation of additional sampling effort‎. ‎These‎‎criteria‎, ‎or conditions‎, ‎can be a measure of the target‎‎population‎, ‎or a measure of some related population‎. ‎We develop‎‎Murthy estimator for the design that is unbiased estimators for‎‎t...

The major objective of this study was to investigate the effects of non-normality on Type III error rates for ANOVA F its three commonly recommended parametric counterparts namely Welch, Brown-Forsythe, and Alexander-Govern test. Therefore these tests were compared in terms of Type III error rates across the variety of population distributions, mean difference (effect size), and sample sizes. A...

In introductory statistics texts, the power of the test of a one-sample mean when the variance is known is widely discussed. However, when the variance is unknown, the power of the Student’s t-test is seldommentioned. In this note, a general methodology for obtaining inference concerning a scalar parameter of interest of any exponential family model is proposed. The method is then applied to th...

Meloxicam is a cyclooxygenase-2, preferential inhibitor non-steroidal anti-inflammatory drug (NSAID) and belongs to an enolic acid (oxicam) class used for the treatment of osteoarthritis and rheumatoid arthritis. The purpose of this single dose randomized cross-over study was to assess bioequivalence of two brands of oral meloxicam tablets (Xobix manufactured by Hilton Pharma (Pvt.) Ltd. as a r...

Questions pertaining to the admissibility of fixed sample size tests of hypotheses, when sequential tests are available, are considered. For the normal case with unknown mean, suppose the risk function is a linear combination of probability of error and expected sample size. Then any fixed sample size test, with sample size n⩾ 2, is inadmissible. On the other hand, suppose the risk function con...