Which one of the following test is used to compare five means, simultaneously?
Run test
Normally test
One way ANOVA
2 Sample T Test
F-Test
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The test that is used to compare five means simultaneously is called the One-way ANOVA (Analysis of Variance) test.
To perform a One-way ANOVA test, you will need to follow these steps:
1. State the null hypothesis (H0) and alternative hypothesis (H1).
2. Collect data from each group or category you want to compare. In this case, you have five means that you want to compare.
3. Calculate the sample means for each group.
4. Calculate the sum of squares (SS) within each group, which represents the variation within each group.
5. Calculate the sum of squares between groups, which represents the variation between the groups.
6. Calculate the degrees of freedom (df) within groups and between groups.
7. Calculate the mean square within groups and between groups.
8. Calculate the F statistic (F-value) by dividing the mean square between groups by the mean square within groups.
9. Determine the critical value of F for a given significance level and compare it to the calculated F-value.
10. If the calculated F-value is greater than the critical value of F, reject the null hypothesis and conclude that there is a significant difference between at least two of the means. If the calculated F-value is less than or equal to the critical value of F, fail to reject the null hypothesis and conclude that there is not enough evidence to suggest a significant difference among the means.
So, in summary, the One-way ANOVA test is the appropriate test to compare five means simultaneously. Follow the steps mentioned above to perform the test and interpret the results.