Normalization of the Kolmogorov–Smirnov and Shapiro–Wilk tests of normality

Zofia Hanusz; Joanna Tarasińska

The search session has expired. Please query the service again.

Displaying similar documents to “Normalization of the Kolmogorov–Smirnov and Shapiro–Wilk tests of normality”

Power comparison of Rao′s score test, the Wald test and the likelihood ratio test in (2xc) contingency tables

Anita Dobek, Krzysztof Moliński, Ewa Skotarczak (2015)

Biometrical Letters

Similarity:

There are several statistics for testing hypotheses concerning the independence of the distributions represented by two rows in contingency tables. The most famous are Rao′s score, the Wald and the likelihood ratio tests. A comparison of the power of these tests indicates the Wald test as the most powerful.

Robustness to non-normality of various tests for the one-sample location problem.

McDougall, Michelle K., Rayner, Glen D. (2004)

Journal of Applied Mathematics and Decision Sciences

Similarity:

The behavior of locally most powerful tests

Marek Omelka (2005)

Kybernetika

Similarity:

The locally most powerful (LMP) tests of the hypothesis $H : θ = θ_{0}$ against one-sided as well as two-sided alternatives are compared with several competitive tests, as the likelihood ratio tests, the Wald-type tests and the Rao score tests, for several distribution shapes and for location, shape and vector parameters. A simulation study confirms the importance of the condition of local unbiasedness of the test, and shows that the LMP test can sometimes dominate the other tests only in a very restricted...

On the Algebra of Test Functions

H. J. Borchers (1973)

Recherche Coopérative sur Programme n°25

Similarity:

Further applications of the T*-test to time-series analysis

E. Pleszczyńska (1971)

Applicationes Mathematicae

Similarity:

Goodness-of-fit tests based on sample space partitions: A unifying overview.

Thas, O., Ottoy, J. P. (2002)

Journal of Applied Mathematics and Decision Sciences

Similarity:

Goodness-of-fit test for long range dependent processes

Gilles Fay, Anne Philippe (2010)

ESAIM: Probability and Statistics

Similarity:

In this paper, we make use of the information measure introduced by Mokkadem (1997) for building a goodness-of-fit test for long-range dependent processes. Our test statistic is performed in the frequency domain and writes as a non linear functional of the normalized periodogram. We establish the asymptotic distribution of our statistic under the null hypothesis. Under specific alternative hypotheses, we prove that the power converges to one. The performance of our test procedure is illustrated...

A modified Anderson-Darling test for uniformity.

Rahman, Mezbahur, Pearson, Larry M., Heien, Herbert C. (2006)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

Similarity:

Testing for normality

K. Sarkadi (1980)

Banach Center Publications

Similarity:

One sample tests for the location of modes of nonnormal data.

Carolan, Anthony M., Rayner, J.C.W. (2001)

Journal of Applied Mathematics and Decision Sciences

Similarity:

Sample size determination in the Mann–Whitney test

Andrzej Kornacki, Andrzej Bochniak, Agnieszka Kubik-Komar (2017)

Biometrical Letters

Similarity:

This paper discusses the problem of determining the number of observations necessary to apply the nonparametric Mann-Whitney test. We describe the method given by Noether (1987) for determining a sample size which guarantees that the Mann-Whitney test at a given significance level α has a predetermined power 1-β. The presented theory is tested by calculating the empirical power in computer simulations. The paper also raises the issue of the method of rounding the determined sample size...