Dr. Melvin Brown: New Applications
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en-us2017 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemThu, 23 Nov 2017 16:52:55 GMTThu, 23 Nov 2017 16:52:55 GMTNew applications published by Dr. Melvin Brownhttp://www.mapleprimes.com/images/mapleapps.gifDr. Melvin Brown: New Applications
http://www.maplesoft.com/applications/author.aspx?mid=50886
An analysis of Kolmogorov-Smirnov statistics and their distributions
https://www.maplesoft.com/applications/view.aspx?SID=123987&ref=Feed
<p>This worksheet examines the use of Kolomogorov-Smirnov (K-S) statistics and presents MAPLE implementations of their distributions under different conditions and assumptions. The presentation aims at being representative rather than comprehensive, and so may serve as an introduction to the properties and use of K-S statistics. The worksheet draws on existing work listed in the References section, and it implements transcriptions (by the author of this worksheet) of certain algorithms given in a subset of those references. </p><img src="/view.aspx?si=123987/417499\KSstat.JPG" alt="An analysis of Kolmogorov-Smirnov statistics and their distributions" align="left"/><p>This worksheet examines the use of Kolomogorov-Smirnov (K-S) statistics and presents MAPLE implementations of their distributions under different conditions and assumptions. The presentation aims at being representative rather than comprehensive, and so may serve as an introduction to the properties and use of K-S statistics. The worksheet draws on existing work listed in the References section, and it implements transcriptions (by the author of this worksheet) of certain algorithms given in a subset of those references. </p>123987Tue, 19 Jul 2011 04:00:00 ZDr. Melvin BrownDr. Melvin BrownGeneralised Smirnov two-sample homogeneity tests
https://www.maplesoft.com/applications/view.aspx?SID=121124&ref=Feed
<p>The problem addressed by this worksheet is: Given two samples of data, which may contain ties, how may one test the hypothesis that they are drawn from the same distribution?</p>
<p>The worksheet demonstrates the use of a MAPLE implementation of an algorithm to perform two-sample homogeneity tests, based on any one of three Kolmogorov-Smirnov (K-S) test statistics.</p>
<p>The MAPLE package KSNstat, which is introduced in this worksheet, contains the MAPLE procedure gsmirn which implements the GSMIRN algorithm given in 1994 by Nikiforov [1] to calculate exact p-values for generalised (conditionally distribution-free) two-sample homogeneity tests based on two-sided and one-sided Kolomogorov-Smirnov statistics. Notably, the Nikiforov algorithm covers the range from discrete to continuous distributions; specifically, it handles tied data points.</p>
<p>[1] Exact Smirnov two-sample tests for arbitrary distributions, A. Nikiforov, Appl.Stat., vol.43, No. 1. pp.265-270, 1994. </p><img src="/view.aspx?si=121124/384833\3506f3b8019b414a0d703d121b569aa5.gif" alt="Generalised Smirnov two-sample homogeneity tests" align="left"/><p>The problem addressed by this worksheet is: Given two samples of data, which may contain ties, how may one test the hypothesis that they are drawn from the same distribution?</p>
<p>The worksheet demonstrates the use of a MAPLE implementation of an algorithm to perform two-sample homogeneity tests, based on any one of three Kolmogorov-Smirnov (K-S) test statistics.</p>
<p>The MAPLE package KSNstat, which is introduced in this worksheet, contains the MAPLE procedure gsmirn which implements the GSMIRN algorithm given in 1994 by Nikiforov [1] to calculate exact p-values for generalised (conditionally distribution-free) two-sample homogeneity tests based on two-sided and one-sided Kolomogorov-Smirnov statistics. Notably, the Nikiforov algorithm covers the range from discrete to continuous distributions; specifically, it handles tied data points.</p>
<p>[1] Exact Smirnov two-sample tests for arbitrary distributions, A. Nikiforov, Appl.Stat., vol.43, No. 1. pp.265-270, 1994. </p>121124Wed, 06 Jul 2011 04:00:00 ZDr. Melvin BrownDr. Melvin Brown