Research ArticleOpen accessPhrase in the titleFunctional Non-Inferiority Hypothesis Testing for Longitudinal DataArsène Brunelle Sandie, Anthony Wanjoya, Jules Brice Tchatchueng-MbouguaThe study pattern of non-inferiority trials is increasingly used to show the non-inferiority of new health intervention. Although in such studies the data are longitudinally collected (data held over a period of time), the conclusion of these non-inferiority trials is based on data observed at a specific time during the study period (usually at the end of the study period). … …Journal of Mathematics and Statistics, Vol. 15, Issue 1 · 29 Aug 2019 · 6,933 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA Numerical Test on the Riemann Hypothesis with ApplicationsN. K. Oladejo, I. A. AdetundeProblem statement: The Riemann hypothesis involves two products of the zeta function ζ(s) which are: Prime numbers and the zeros of the zeta function ζ(s). It states that the zeros of a certain complex-valued function ζ (s) of a complex number s ≠ 1 all have a special form, which may be trivial or non trivial. Zeros at the negative … …Journal of Mathematics and Statistics, Vol. 5, Issue 1 · 31 Mar 2009 · 7,859 accessesView PDFCite
Research ArticleOpen accessIn the keywords"BIVARIATE DISTRIBUTION" FOR INFRASTRUCTURES AMONG OPERATIVE, NATURAL AND NO MENOPAUSESRamalingam ShanmugamMenopause is not an illness but rather an important event as it changes the body physiology and mental cognition via hormonal changes. During data analysis of menopauses incidence data, new bivariate distribution is discovered. Their marginal, conditional distribution and statistical properties including the inter and partial correlations are explored and utilized to interpret menopauses data. A likelihood ratio hypothesis testing … …Current Research in Biostatistics, Vol. 4, Issue 2 · 23 Aug 2014 · 7,314 accessesView PDFCite
Research ArticleOpen accessIn the keywordsShortage Level of Matching Kidney and Pancreas Organs for Implant is EstimatedRamalingam ShanmugamOrgan transplants are increasingly done worldwide. The organ donors might be dead or alive. There are legal, ethical, medical and administrative issues to procure organs and to transplant them. However, the donor’s organs must fully match the recipient’s requirement before they are quickly transported as the time is the essence. The kidney or pancreas organs are more in demand. When … …International Journal of Research in Nursing, Vol. 4, Issue 2 · 1 Nov 2013 · 6,516 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA 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 keywordsNonparametric Analysis on System Availability: Confidence Bound and Power FunctionJau-Chuan Ke, Yunn-Kuang ChuIn this study we consider the steady-state availability, denoted A, of a system with distribution-free failure and repair time. In particular, we are interested in constructing a lower confidence bound and a testing framework for A. We first show that the natural estimator  of A, defined as the ratio of the failure time sample mean to the sum of … …Journal of Mathematics and Statistics, Vol. 3, Issue 4 · 31 Dec 2007 · 6,692 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA Test on the Multivariate Behrens–Fisher Problem in High–Dimensional Data by Block Covariance EstimationParanut Sukcharoen, Samruam ChongcharoenIn this paper, we proposed a new testing statistic for testing the equality of mean vectors from two multivariate normal populations when the covariance matrices are unknown and unequal in high–dimensional data. A new test is proposed based on the idea of keeping more information from the sample covariance matrices as much as possible. A proposed test is invariant under … …Journal of Mathematics and Statistics, Vol. 15, Issue 1 · 2 Apr 2019 · 7,369 accessesView PDFCite
Research ArticleOpen accessIn the keywordsAn Alpha-Exhaustive Multiple Testing ProcedureMark Chang, Xuan Deng, John BalserA multiple testing procedure can be a single-step procedure such as Bonferroni's method or a stepwise procedure such as Hochberg's stepup method and Hommel's method. It can be an α-exhaustive or α-conservative approach. We develop a single α-exhaustive procedure that can improve power 2-5% over Hochberg's and Hommel's methods in common situations when the test statistics are mutually independent. The … …Current Research in Biostatistics, Vol. 6, Issue 2 · 30 Jun 2017 · 8,095 accessesView PDFCite
Research ArticleOpen accessIn the keywordsIntervened 2-Tier Poisson Distribution for Understanding Hospital Site InfectivityR. ShanmugamProblem statement: Whether it is a surgical site or medical treatment at a hospital site, the nurses in particular and the entire medical team including surgeons/physicians in general undergo a risk of being infected ironically by the patients whom they intend to disinfect. There are 2-tiers of patients at the site. One type consists of patients who are internally and … …International Journal of Research in Nursing, Vol. 3, Issue 1 · 31 Mar 2012 · 6,925 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