It is well known that the best equivariant estimator of a variance covari-ance matrix of multivariate normal distribution with respect to the full ane group of transformation is not even minimax. Some minimax estimators have been proposed. Here we treat this problem in the framework of a multivari-ate analysis of variance(MANOVA) model and give other classes of minimax estimators.

Multidimensional Scaling analysis (MDS) and Multivariate of variance (MANOVA) are among the commonly used multivariate statistical methods. While MANOVA is to evaluate whether there statistically significant differences between mean vectors experimental groups in terms more than one independent variable; MDS both for dimension reduction classify individuals/variables according their differences...

1. Introduction In many agricultural experiments, generally the data on more than one character is observed. One common example is grain yield and straw yield. The other characters on which the data is generally observed are the plant height, number of green leaves, germination count, etc. The analysis is normally done only on the grain yield and the best treatment is identified on the basis of...

We propose a procedure to test complicated ANOVA designs for functional data. The procedure is effective, flexible, easy to compute and does not require a heavy computational effort. It is based on the analysis of randomly chosen onedimensional projections. The paper contains some theoretical results as well as some simulations and the analysis of some real data sets. Functional data include mu...

We propose robust tests as alternatives to the classical Wilks’ Lambda test in one-way MANOVA. The robust tests use highly robust and efficient multi-sample multivariate Sor MM-estimators instead of the empirical covariances. The properties of several robust test statistics are compared. Under the null hypothesis, the distribution of the test statistics is proportional to a chi-square distribut...

The Wilks’ Lambda Statistic (likelihood ratio test, LRT) is a commonly used tool for inference about the mean vectors of several multivariate normal populations. However, it is well known that the Wilks’ Lambda statistic which is based on the classical normal theory estimates of generalized dispersions, is extremely sensitive to the influence of outliers. A robust multivariate statistic for the...

A corpus of 750 product reviews extracted from Amazon.com was analyzed for specific lexical, grammatical, and semantic features to identify differences between satirical and non-satirical Amazon.com product reviews through a statistical analysis. The corpus contained 375 reviews identified as satirical and 375 as non-satirical (750 total). Fourteen different linguistic indices were used to meas...

The current study reports upon further evaluation of the psychometric properties of the Learning and Development Survey. Originally tested on 113 local government employees, the Learning and Development Survey was found to have good reliability, however there was a large proportion of redundant items, with 62 indicators spanning six constructs. These six constructs were: Organisational Opportun...

BACKGROUND The systemic inflammatory response to Clostridium difficile infection (CDI) is incompletely defined, particularly for patients with severe disease. METHODS Analysis of 315 blood samples from 78 inpatients with CDI (cases), 100 inpatients with diarrhea without CDI (inpatient controls), and 137 asymptomatic outpatient controls without CDI was performed. Serum or plasma was obtained f...