Goal: The required sampled size is determined for estimating a population mean within a given margin of error based on a preliminary sample. An inflation factor is needed to prevent confidence intervals from being anti-conservative. Methodology: When estimating a population mean...
Open access
Research Article10.9734/air/2026/v27i41657
Aims / Objectives: To introduce a statistical test, which is a mixture of the one-sample t-test and Wilcoxon signed-rank test and depends on the sample kurtosis, using data from a symmetric univariate distribution with finite variance. Study Approach: Computer simulation of cover...
Open access
Research Article10.9734/cjast/2022/v41i1831737
Coverage probabilities of the two-sided one-sample t-test are simulated for some symmetric and right-skewed distributions. The symmetric distributions analyzed are Normal, Uniform, Laplace, and student-t with 5, 7, and 10 degrees of freedom. The right-skewed distributions analyze...
Open access
Research Article10.9734/jamcs/2021/v36i230342
The convergence rate of a Markov transition matrix is governed by the second largest eigenvalue, where the first largest eigenvalue is unity, under general regularity conditions. Garren and Smith (2000) constructed confidence intervals on this second largest eigenvalue, based on...
Open access
Research Article10.9734/ajpas/2019/v3i430101
The R-package jmuOutlier, which contains functions for performing nonparametric statistical analyses, is introduced. This R-package is quite simplistic, and is intended to accompany undergraduate textbooks on nonparametric statistics. The main objectives of this R-package include...
Open access
Research Article10.9734/ARJOM/2017/34694
When teaching elementary statistics courses, instructors may find themselves frequently drawing by hand the probability density functions of normal and t distributions. The author presents the R-package fastGraph, containing new functions in R, allowing graphs of probability dens...
Open access
Research Article10.9734/ACRI/2016/29429
A commonly used rule for determining if a Binomial(n, p) distribution may be reasonably approximated by a normal distribution is whether or not np and n(1 – p) are at least some constant, such as 10. Two competing rules, one based on the binomial variance and the other based on t...
Open access
Research Article10.9734/JSRR/2015/16653