On a one-sample distribution-free test statistic V

Comment on the asymptotics of a distribution-free goodness of fit test statistic.

In a recent article Jennrich and Satorra (Psychometrika 78: 545-552, 2013) showed that a proof by Browne (British Journal of Mathematical and Statistical Psychology 37: 62-83, 1984) of the asymptotic distribution of a goodness of fit test statistic is incomplete because it fails to prove that the orthogonal component function employed is continuous. Jennrich and Satorra (Psychometrika 78: 545-5...

On the Exact Finite Sample Distribution of the L 1-FCvM Test Statistic

We derive the exact finite sample distribution of the L1-version of the Fisz-Cramér-von Mises test statistic (L1-FCvM). We first characterize the set of all distinct sample p-p plots for two balanced sample of size  absent ties. Next, we order this set according to the corresponding value of L1-FCvM. Finally, we link these values to the probabilities that the underlying p-p plots emerge. Compa...

ANALYSIS OF COVARIANCE BASED ON FUZZY TEST STATISTIC

One-way analysis of covariance is a popular and common statisticalmethod, wherein the equality of the means of several random variables whichhave a linear relationship with a random mathematical variable, is tested. Inthis study, a method is presented to improve the one-way analysis of covari-ance when there is an uncertainty in accepting the statistical hypotheses. Themethod deals with a fuzzy...

One-Sample Hypothesis Test Examples

a test statistic based on wishart distribution for unsupervised change detection in multilook polarimetric sar data

in this paper, an unsupervised method for change detection in the multitemporal multipolarization synthetic aperture radar (sar) imagery is proposed. a matrix distance measure, named symmetric revised wishart is used as a test statistic in order to assess the similarity of two multitemporal multilook polarimetric sar data and a variance-based thresholding algorithm is applied to the test statis...