Research ArticleOpen accessIn the keywordsAn Application of Univariate Statistics to Hotelling's T2Dr. A. PolymenisProblem statement: Hotelling's T2 statistic has been well documented in the existing literature and exact as well as asymptotic results have been obtained. In the present article, we focus on an important particular case of T2 and we note that, there is no clear way to show, how univariate results, used in the theory of Student’s t statistic, could be … …Journal of Mathematics and Statistics, Vol. 7, Issue 1 · 25 Mar 2011 · 7,660 accessesView PDFCite
Research ArticleOpen accessIn the keywordsSome Test Statistics for Testing the Binomial Parameter: Empirical Power ComparisonFlorence George, B.M. Golam KibriaProblem statement: The Binomial distribution is one of the most useful probability distributions in the filed of quality control, physical and medical sceinces. Many questions of interest to the health worker related to make inference about the unknown population proportion, parameter of binomial distribution. This study considers the problem of hypotheses testing of the parameter of a binomial distribution. Approach: … …Current Research in Biostatistics, Vol. 1, Issue 2 · 31 Dec 2010 · 7,870 accessesView PDFCite
Research ArticleOpen accessIn the abstractGravity. Origin and Quantum Evolution of the CosmosFrancisco Pavía Alemany, Marcelino Alvarez VillarroyaThe most widely accepted hypothesis regarding the birth and evolution of the Cosmos is the Big Bang theory, which states that, before the beginning, all the current mass energy of the Cosmos was already concentrated within an extremely small, dense, and hot singularity. However, in this article, we propose a new model resulting from physical-mathematical deductions and the discovery of … …Physics International, Vol. 16, Issue 1 · 15 Sep 2025 · 5,323 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Permutation Test for Comparing Two Correlated Receiver Operating Characteristic CurvesOkeh Uchechukwu Marius, Onyeagu SidneyThe area under the Receiver Operating Characteristic (ROC) curve (AUC) is a summary measure when comparing two ROC curves. However, this summary measure is less informative when two ROC curves cross and have the same AUCs. In order to detect differences between ROC curves and to be able to tackle the problem of exchangeability of the labels between two diagnostic … …Journal of Mathematics and Statistics, Vol. 16, Issue 1 · 24 May 2020 · 8,129 accessesView PDFCite
Research ArticleOpen accessIn the abstractOne-Sided Multivariate Tests for High Dimensional DataSamruam ChongcharoenProblem statement: For a multivariate normal population with size smaller than dimension, n<p, the likelihood ratio tests of the null hypothesis that the mean vector was zero with a one-sided alternative were no longer valid because they involved with sample covariance matrix which was singular. Approach: The test statistics for one-sided multivariate hypotheses with n<p were proposed. Results: The simulation … …Journal of Mathematics and Statistics, Vol. 8, Issue 2 · 20 Jun 2012 · 7,261 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Test for Two-Sample Repeated Measures Designs: Effect of High-Dimensional DataBoonyarit Choopradit, Samruam ChongcharoenProblem statement: High-dimensional repeated measures data are increasingly encountered in various areas of modern science since classical multivariate statistics, e.g,. Hotelling’s T2, are not well defined in the case of high-dimensional data. Approach: In this study, the test statistics with no specific form of covariance matrix for analyzing high-dimensional two-sample repeated measures designs with common equal covariance are proposed. The … …Journal of Mathematics and Statistics, Vol. 7, Issue 4 · 28 Oct 2011 · 7,328 accessesView PDFCite
Research ArticleOpen accessIn the abstractLeptospirosis in the Tropics: When Prevention Doesn't Easily Sell as a Ton of CureRoger Lee MendozaProblem statement: Human leptospirosis -- the most widespread zoonotic disease -- thrives in tropical and subtropical climates. It is seldom addressed ex ante or prior to an outbreak or expected outbreak by governments of high-risk countries. Whether common, post-exposure treatment with antimicrobial drugs is more cost-efficient than reducing animal reservoir populations was the overarching question that guided this study. A … …American Journal of Economics and Business Administration, Vol. 2, Issue 3 · 30 Sep 2010 · 8,378 accessesView PDFCite
Research ArticleOpen accessIn the abstractA New Weighted Rank CorrelationTahani A. Maturi, Ezz H. AbdelfattahProblem Statement: There have been many cases in real life where two independent sources have ranked n objects, with the interest focused on agreement in the top rankings. Spearman's rho and Kendall's tau coefficients assigned equal weights to all rankings. As a result, the literature proposed several weighted correlation coefficients with emphasis on the top rankings, including the top-down, weighted … …Journal of Mathematics and Statistics, Vol. 4, Issue 4 · 31 Dec 2008 · 8,826 accessesView PDFCite
Research ArticleOpen accessIn the abstractEffect of Multicollinearity on Power Rates of the Ordinary Least Squares EstimatorsO.O. Alabi, Kayode Ayinde, T.O. OlatayoInferences on the parameter estimates of Ordinary Least Square (OLS) estimator in regression model when regressors exhibit multicollinearity is a problem in that large standard errors of the regression coefficients which cause low t-statistic value often result into the acceptance of the null hypothesis. This paper, therefore, makes efforts to investigate the effect of multicollinearity on the power rates of … …Journal of Mathematics and Statistics, Vol. 4, Issue 2 · 30 Jun 2008 · 7,880 accessesView PDFCite
Research ArticleOpen accessIn the abstractTrade-GDP Nexus in Iran: An Application of the Autoregressive Distributed Lag (ARDL) ModelMosayeb Pahlavani, Ed Wilson, Andrew C. WorthingtonThis study employed annual time series data (1960-2003) and unit root tests with multiple breaks to determine the most likely times of structural breaks in major factors impacting on the trade-GDP nexus in Iran We found, inter alia, that the endogenously determined structural breaks coincided with important events in the Iranian economy, including the 1979 Islamic revolution and the outbreak … …American Journal of Applied Sciences, Vol. 2, Issue 7 · 31 Jul 2005 · 8,516 accessesView PDFCite