On comparing,classifying and clustering several dependent regression models

Classifying several regression models fitted on a dataset is one of the most problems in data analysis. In other words, scientists are interested in comparing several regression models that can be used for a dataset. In this paper, an approach will be used to compare and classify several dependent regression models. Then the performance of the proposed method is investigated using simulation study and real example.     

Comparing mean ranks for repeated measures data

Rank tests are considered that compare t treatments in repeated measures designs. A statistic is given that contains as special cases several that have been proposed for this problem, including one that corresponds to the randomized block ANOVA statistic applied to the rank transformed data. Another statistic is proposed, having a null distribution holding under more general conditions, that is the rank transform of the Hotelling statistic for repeated measures. A statistic of this type is also given for data that are ordered categorical rather than fully rankedo Unlike the Friedman statistic, the statistics discussed in this article utilize a single ranking of the entire sample. Power calculations for an underlying normal distribution indicate that the rank transformed ANOVA test can be substantially more powerful than the Friedman test.     

Computation of finite population parameters and approximate probability values for multi-response randomized block permutation procedures (mrbp)

An algorithm is presented for computing the finite population parameters and the approximate probability values associated with a recently-developed class of statistical inference techniques termed multi-response randomized block permutation procedures (MRBP).     

Small sample efficiencies of tests based on the method of n rankings

A method is proposed for calculating the small sample powers of rank tests which are based on the method of n rankings. A class of normal shift alternative hypotheses is considered, and Hodges–Lehmann efficiencies are calculated for the Friedman test.     

The Statistical Analysis of Preference Data

A new statistic and a new method of analysis are proposed for data where a sample of respondents provides a preference ordering of some treatments. The new preference statistic is compared with the Friedman statistic, particularly for an example where 12 home owners each ranked four grasses. The new analysis provides a more natural and less misleading assessment of where the differences occur than an analysis based on the rank sums of the Friedman statistic. The new analysis is also more robust to deviations from the classical location problem, is not related to election methods known to have undesirable characteristics and adheres to the Condorcet criterion for election methods.     

Bridging the gap: A likelihood function approach for the analysis of ranking data

ABSTRACT

In the parametric setting, the notion of a likelihood function forms the basis for the development of tests of hypotheses and estimation of parameters. Tests in connection with the analysis of variance stem entirely from considerations of the likelihood function. On the other hand, non parametric procedures have generally been derived without any formal mechanism and are often the result of clever intuition. In the present article, we propose a more formal approach for deriving tests involving the use of ranks. Specifically, we define a likelihood function motivated by characteristics of the ranks of the data and demonstrate that this leads to well-known tests of hypotheses. We also point to various areas of further exploration such as how co-variates may be incorporated.     

Approximations of the critical region of the fbietkan statistic

The Friedman (1937) test for the randomized complete block design is used to test the hypothesis of no treatment effect among k treatments with b blocks. Difficulty in determination of the size of the critical region for this hypothesis is com¬pounded by the facts that (1) the most recent extension of exact tables for the distribution of the test statistic by Odeh (1977) go up only to the case with k6 and b6, and (2) the usual chi-square approximation is grossly inaccurate for most commonly used combinations of (k,b). The purpose of this paper 2 is to compare two new approximations with the usual x² and F large sample approximations. This work represents an extension to the two-way layout of work done earlier by the authors for the one-way Kruskal-Wallis test statistic.     

Normal theory sample size formulas for some nonnormal distributions

Sample size procedures of T- and F-tests for some nonnormal distributions are discussed. An adaptation to the Kruskal-Wallis and Friedman tests is mentioned.     

米尔顿·弗里德曼论教育自由选择思想述评

教育可以产业化和事业化。弗里德曼反对政府对教育市场的干预,主张消费者对教育的自由选择。针对美国教育事业的弊端,他提出了一些具有借鉴意义的办法。但仅从经济自由主义的视角单一地追求经济效率并不一定能从根本上解决教育问题。     

哀莫大于心不死——浅析苏轼与弥尔顿的悼亡诗

悼亡诗是爱情诗的一个独特典型,结合了爱情与死亡两大主题,涉及的是诀别生死恋。苏轼的《江城子》和弥尔顿的《致亡妻》分别都是中西方著名的悼亡诗。两者有相同的主题——对亡妻的追思。然而,由于受中西方文化,宗教,信仰,历史等方面的影响,两首诗叉同中有异。本文拟从文本内外对这两首悼亡诗进行解读,从中国和西方尤其是英国的诗歌功用理论和表现理论以及宗教信仰两方面来分析并探讨中西方悼亡诗之差异及文化根源。