Frequentist and Bayesian measures of confidence via multiscale bootstrap for testing three regions

A new computation method of frequentist $p$-values and Bayesian posterior probabilities based on the bootstrap probability is discussed for the multivariate normal model with unknown expectation parameter vector. The null hypothesis is represented as an arbitrary-shaped region. We introduce new parametric models for the scaling-law of bootstrap probability so that the multiscale bootstrap method, which was designed for one-sided test, can also computes confidence measures of two-sided test, extending applicability to a wider class of hypotheses. Parameter estimation is improved by the two-step multiscale bootstrap and also by including higher-order terms. Model selection is important not only as a motivating application of our method, but also as an essential ingredient in the method. A compromise between frequentist and Bayesian is attempted by showing that the Bayesian posterior probability with an noninformative prior is interpreted as a frequentist $p$-value of ``zero-sided'' test

Some Properties Of Somerville Multiple Range Subset-Selection Procedure For three Populations

Somerville (1984) has recently proposed a multiple range subset selection procedure for the case when sample means of size n are obtained from k normal populations with common known variance. It is shown here that when k=3 the probability of correct selection 6f this procedure is between that of Gupta\u27s procedure and p* and strong evidence is presented that the expected subset size of the procedure is lower than that of Gupta\u27s procedure uniformly in parameter values for all p* 0,98

Opinions of seven Mainers on various aspects of health-care reform on both the s

Opinions of seven Mainers on various aspects of health-care reform on both the state and national levels

The Fungal Sexual Pheromone Sirenin Activates the Human CatSper Channel Complex

The basal fungus <i>Allomyces macrogynus</i> (<i>A. macrogynus</i>) produces motile male gametes displaying well-studied chemotaxis toward their female counterparts. This chemotaxis is driven by sirenin, a sexual pheromone released by the female gametes. The pheromone evokes a large calcium influx in the motile gametes, which could proceed through the cation channel of sperm (CatSper) complex. Herein, we report the total synthesis of sirenin in 10 steps and 8% overall yield and show that the synthetic pheromone activates the CatSper channel complex, indicated by a concentration-dependent increase in intracellular calcium in human sperm. Sirenin activation of the CatSper channel was confirmed using whole-cell patch clamp electrophysiology with human sperm. Based on this proficient synthetic route and confirmed activation of CatSper, analogues of sirenin can be designed as blockers of the CatSper channel that could provide male contraceptive agents