A REMARK ON TESTING SIGNIFICANCE OF AN OBSERVED CORRELATION MATRIX

A simple test for the diagonality of the covariance matrix of a multi-variate normal population is proposed. The test, which is based upon the sum of squares of the z-transforms of the sample correlations, is seen to compare well with the current tests in terms of both the null distribution approximations and the powers.     

关于半直线上概率测度者积半群结构的几个结果

以直线上概率测度卷积半群的有关性质为基础，证明了半直线Ｒ＋上的概率测度卷积半群（，＊）的弱素元全体在（．＊）中稠密及Ｉ０元全体在（，＊）的无穷可分元全体中稠密．这些结果对广义卷积代数（，＊）的半群结构的研究具有重要意义．     

一类平面二次系统的（0,1）分布

本文讨论二次系统的极限环的（0，1）分布问题．本文的主要结果是当系统（1）满足定理的条件时，那末它的权限环是（0，1）分布的．     

Counseling models and their impact on how therapists handle values issues

Counseling is not a value free enterprise. Therapeutic models are value laden. Counselors and clients are both emotionally invested in right living issues. Since no therapy is value free, clients face the dilemma of finding a therapist with values similar to their own or having their values challenged. Therapists face the ethical issue of clarifying their own values and determining how to make them known.     

On the distribution of a second degree polynomial statistic in singular normal var1aies

This note provides an alternative proof of a basic theorem on the distribution of a second degree polynomial statistic in noncentral singular normal variates originally proven by Rayner and Livingstone (1965)     

On properties of efficiency-balanced designs

We consider a class of efficiency-balanced block designs which are design patterns for the analytical simplification of statistical analysis. This paper consists of eight sections which investigate various problems (such as, bounds on parameters, characterizations, existence and nonexistence, and dual designs) for efficiency-balanced block designs.     

The Quality of Pitches in Major League Baseball

This article considers the quality of pitches in Major League Baseball (MLB). Based on approximately 2.2 million pitches taken from the 2013, 2014, and 2015 MLB seasons, the quality of a particular pitch is evaluated as the expected number of bases conceded. Quality is expressed as a function of various covariates including pitch count, pitch location, pitch type, and pitch speed. The estimation of the pitch quality is obtained through the use of random forest methodology to accommodate the inherent complexity of the relationship between pitch quality and the associated covariates. With the fitted model, various applications are considered which provide new insights on pitching and batting.     

Calculation of marginal densities for parameters of multinomial distributions

The full Bayesian analysis of multinomial data using informative and flexible prior distributions has, in the past, been restricted by the technical problems involved in performing the numerical integrations required to obtain marginal densities for parameters and other functions thereof. In this paper it is shown that Gibbs sampling is suitable for obtaining accurate approximations to marginal densities for a large and flexible family of posterior distributions—the family. The method is illustrated with a three-way contingency table. Two alternative Monte Carlo strategies are also discussed.     

Characteristics of homeless jail inmates: Implications for social work

This study set out to validate the hypothesis (belief) that homeless people were likely to commit minor offenses as solutions to their conditions. Jails, and maybe prisons, would provide three meals a day, a place to sleep, and minimal health care-especially during the winter months. Instead, the data did not support the hypothesis. Contrary to the reported practices of some homeless people in Colorado who are described as committing non-serious but timed offenses to go to jail, it found a homeless population in jail who give a literal interpretation to the political phrase the invisible people. They were not in jail because they were homeless, but instead they were in jail for serious crimes (murder, rape, drugs, robbery) and their homelessness was a side fact. Since it was not likely that this group would seek to address or resolve their homelessness, it was recommended that jail social workers identify their needs to them, track them into social welfare networks, with a designated contact person, prior to their release.