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        <description>The ANOVA for independent groups with F* and F&quot; corrections

 (Brown-Forsythe, 1974) and  (Welch, 1951) Corrections concern ANOVA for independent groups and are calculated when the assumption of equality of variances is not met.

The test statistic is in the form of:





where:</description>
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        <title>The ANOVA for independent groups</title>
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        <description>The ANOVA for independent groups

The one-way analysis of variance (ANOVA for independent groups) proposed by Ronald Fisher, is used to verify the hypothesis determining the equality of means of an analysed variable in several () populations.

Basic assumptions:</description>
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        <title>The ANOVA for dependent groups with Epsilon correction and MANOVA</title>
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        <description>The ANOVA for dependent groups with Epsilon correction and MANOVA

Epsilon and MANOVA corrections apply to repeated measurements ANOVA and are calculated when the assumption of sphericity is not met or the variances of the differences between all pairs of measurements are not close to each other.</description>
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        <title>The ANOVA for dependent groups</title>
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        <description>The ANOVA for dependent groups

The single-factor repeated-measures analysis of variance (ANOVA for dependent groups) is used when the measurements of an analysed variable are made several times () each time in different conditions (but we need to assume that the variances of the differences between all the pairs of measurements are pretty close to each other).</description>
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        <description>The contrasts and the POST-HOC tests

An analysis of the variance enables you to get information only if there are any significant differences among populations. It does not inform you which populations are different from each other. To gain some more detailed knowledge about the differences in particular parts of our complex structure, you should use</description>
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        <title>The Brown-Forsythe test and the Levene test</title>
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        <description>The Brown-Forsythe test and the Levene test

Both tests: the Levene test (Levene, 1960 ) and the Brown-Forsythe test (Brown and Forsythe, 1974 ) are used to verify the hypothesis determining the equality of variance of an analysed variable in several (</description>
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        <title>Mauchly's sphericity</title>
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        <description>Mauchly's sphericity

Sphericity assumption is similar but stronger than the assumption of equality of variance. It is met if the variances for the differences between pairs of repeated measurements are the same. Usually, the simpler but more stringent compound symmetry condition is considered in place of the sphericity assumption. This can be done because meeting the compounded symmetry condition entails meeting the sphericity assumption.</description>
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