f max statistics In statistics Hartley s test also known as the Fmax test or Hartley s Fmax is used in the analysis of variance to verify that different groups have a similar variance an assumption needed for other statistical tests It was developed by H O Hartley who published it in 1950 The test involves computing the ratio of the largest group variance max sj to the smallest group variance min sj The resulting ratio Fmax is then compared to a critical value from a table of t
Hartley s Fmax test is used to test the assumption that variances are equal across groups The test is easy to implement and produces valid results assuming underlying assumptions are Critical Values of F max for Hartley s Homogeneity of Variance Test The upper value in each box is for 0 05 The lower value is for 0 01 The test assumes that there are equal sample
f max statistics
f max statistics
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Testing for homogeneity of variance with Hartley s Fmax test In order to use a parametric statistical test your data should show homogeneity of variance in other words the spread of The statistic F max is calculated as the ratio of the largest and smallest variances of the k groups each containing n observations The observed value of F max with k and n 1
The next step is to create our test statistic the F max value For this we calculate all of the sample variances and divide the largest variance by the smallest variance Then we compare our F max calculated value to various F In statistics a test for homogeneity of variance in several samples based on the ratio of the largest variance to the smallest variance Also called F max Hartley s largest F
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This video introduces the Fmax test and describes how it works A step by step description of how to perform the Fmax test is described This is the test that This video reviews the Fmax test and works through several examples of how it works Two step by step examples are described The first example returns a nons
Test for homogeneity of variance In Analysis of Variance find s 2 for each treatment Divide the largest value of s 2 by the smallest value of s 2 to get a variance ratio F The F max test is used to test when a set of more than two population variances may have any that differ from each other Let s take a look at some examples of how to do this test Slide 2
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f max statistics - In terms of statistical power Bartlett Z variance Cochran s C F max and O Brien achieved high statistical power with the presence of normal or platykurtic