One-Way ANOVA is used to test the comparison of 3 or more samples alleviating the risk of having a wrong answer in doing each test separately. ANOVA is an acronym for ANalysis Of VAriance
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Two way ANOVA
The results of a one-way ANOVA can be considered reliable as long as the following as The results of a one-way ANOVA can be considered reliable as long as the following assumptions are met: * Response variable must be normally distributed (or approximately normally distributed). * Samples are independent. * Variances of populations are equal. * The sample is a Simple Random Sample (SRS). ANOVA is a relatively robust procedure with respect to violations of the normality assumption (Kirk, 1995) If data are ordinal, a non-parametric alternative to this test should be used - Kruskal-Wallis one-way analysis of variance. sumptions are met: * Response variable must be normally distributed (or approximately normally distributed). * Samples are independent. * Variances of populations are equal. * The sample is a Simple Random Sample (SRS). ANOVA is a relatively robust procedure with respect to violations of the normality assumption (Kirk, 1995) If data are ordinal, a non-parametric alternative to this test should be used - Kruskal-Wallis one-way analysis of variance
In a one-way ANOVA, the relate in an equation the total variation, , where i=1,2,…,a and j=1,2,…,n_i; the explained variation and the unexplained variation SST=SSA+SSE Degrees of freedom N-1 a-1 N-a
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The questions on the four-way test are:Is it the truth?Is it fair to all concerned?Will it build good will and better friendships?Will it be beneficial to all concerned?