## Related questions with answers

The Anorexia data file on the book's website shows weight change for anorexic teenage girls who were randomly assigned to one of three psychological treatments (cognitive or family therapy and a control treatment). Use software to analyze these data. (The change scores are in the last three columns of the data set. Alternatively, the website also contains a data set that shows the data in "long" format, with the treatment in one column and the change score in another column.)

For the one-way ANOVA comparing the three mean weight changes, report the test statistic and P-value. Explain how to interpret.

Solution

VerifiedGiven:

$\begin{aligned}g&=\text{Number of groups}=3 \\ n_1&=\text{Sample size}=8 \\ n_2&=\text{Sample size}=8 \\ n_3&=\text{Sample size}=8 \\ N&=n_1+n_2+n_3=8+8+8=24 \\ \alpha&=\text{Significance level}=0.05 &\textcolor{#4559AC}{(\text{Assumption})} \end{aligned}$

We need to execute the one-way ANOVA significance test.

To execute the significance test, we need to check the assumptions, and determine the hypotheses, test statistic, P-value, and the conclusion of the hypothesis test.

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