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# One-Way ANOVA

For this problem please use the data scores in the Excel attachment from the three groups of subjects to conduct a one-way ANOVA. Please compile your results in a Microsoft Word document.

Instructions:

Using the data in the Excel Attachment, perform the following statistical operations, and compile your results in a Microsoft Word document:
? State the research hypothesis and null hypothesis
? Calculate both sets of df and determine Fcrit
? Calculate the within-groups variance
? Calculate the between-groups variance
? Compute the F statistic
? Compare Fobt to Fcrit and interpret/report your findings (English and notation)
? Conduct a pairwise comparison of sample means to see which means are different
? Reject or retain the null based on your results
? Report your findings in English, matrix, and underline notation, or explain why a pairwise comparison is inappropriate

#### Solution Preview

Using the data in the Excel Attachment
Perform the following statistical operations, and compile your results in a Microsoft Word document:

? State the research hypothesis and null hypothesis

The null hypothesis is that all three group means are equal to each other, and the alternative hypothesis is that at least one of the group means differ.

H0: &#956;1 = &#956;2 = &#956;3
Ha: one of &#956;1, &#956;2, &#956;3 is different

? Calculate both sets of df and determine Fcrit

The between groups df is 2. The within groups df is 24. The critical value of F with df = 2, 24 and with a significance level of 0.5 is F = 3.4.

? Calculate the within-groups variance

The within-groups variance is the within groups mean square (MSW). You calculate t as MSW = SSW/(n - I), where SSW is calculated as:

the calculation is similar to SSB [see below], but notice the Yij. These are the individual values, ...

\$2.19