Question

A researcher examined the effects of three different treatments on depression: medication counseling and a diet supplement. For the tests, the researcher determines: couns_ 28.70, Xsupp_ 35.70 20.20, X Xme,- · Smed=5.90, Scouns-8.43, Ssupp-4.71, · -1205.00, SSwithin 1153.80 SS-2358 » SS between total o between df- 2, within df-27, total df-29 . F-14.10, p< 0.01 ° Tukey's HSD for alpha.05: Xmed + Xsupp, Xmed + Xcouns · η=0.715 b. Which statistical test did the researcher first conduct/2)? Why was this the correct statistical test ( /3)? c. d. Write the results up in APA style /4)?

Answer 1

(b) The researcher first conducted One Way ANOVA test testing the significance of difference between 3 Samples: Medication, Counseling and Diet supplement.

(c) This was the correct statistical test because it satisfies the conditions for ANOVA test:

    (i) Independence of cases

    (ii) Normality

    (iii) Equality of variance, called homoscedasticity.

(d)

One Way ANOVA test testing the significance of difference between 3 Samples: Medication, Counseling and Diet supplement.

For Since the P - value is less than significance level $\alpha$ , the difference is significant. Reject null hypothesis.

Conclusion: The data do not support the claim that the means of the 3 Samples : Medication, Counseling and Diet supplement.are significantly different.i.e., At least one mean is different from the other 2 means.

Turkey's HSD test

Turkey's HSD test:is employed:and the result of the test is that all the 3 means: Medication, Counseling and Diet supplement.are significantly different.