4.-One-Way-Anova.docx - GROUP 4 WRITTEN REPORT One way ANOVA(Analysis of Variance(F-Test Analysis of Variance A test of hypothesis that is appropriate

4.-One-Way-Anova.docx - GROUP 4 WRITTEN REPORT One way...

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GROUP 4 WRITTEN REPORT One way ANOVA (Analysis of Variance) (F-Test) Analysis of Variance: A test of hypothesis that is appropriate to compare means of a continuous variable in two or more independent comparison groups. A test that provides a global assessment of a statistical difference in more than two independent means When will we use this type of test? For example, in some clinical trials there are more than two comparison groups. In a clinical trial to evaluate a new medication for asthma, investigators might compare an experimental medication to a placebo and to a standard treatment (i.e., a medication currently being used). Anova technique applies: When there are two or more than two independent groups. Since there are more than two groups, however, the computation of the test statistic is more involved. The test statistic must take into account the sample sizes, sample means and sample standard deviations in each of the comparison groups. The fundamental strategy of ANOVA is to systematically examine variability within groups being compared and also examine variability among the groups being compared. The null hypothesis in ANOVA is always that there is no difference in means . The research or alternative hypothesis is always that the means are not equal and is usually written in words rather than in mathematical symbols. H 0 : μ 1 = μ 2 = μ 3 = μ 4 H 1 : The means are not all equal. Test STATISTIC for Anova: The test statistic for testing H 0 : μ 1 = μ 2 = ... = μ k is:
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