Another variable measured in the experiment described in the previous exercise w

Question

Another variable measured in the experiment described in the previous exercise was a depression score. Higher values of this score indicate more depression. Here is part of the ANOVA table for these data: (a) Fill in the missing entries in the ANOVA table. (b) State H_0 and H_a for this experiment. (c) What is the distribution of the F statistic under the assumption that H_0 is true? Using Table E, give an approximate P - value for the ANOVA test. What do you conclude? (d) What is S^2 _p, the estimate of the within - group variance? What is S_p?

Explanation / Answer

a)

b) Ho: all three groups have same mean score of depression.

Ha: at least two of the groups have different mean score of depression.

c)

F statisitc will have F distribution( normal distribution to be followed for ANOVA)

P value at given F stat and (3,32) degree of freedom =0.0746

d)

sp2 =pooled std variance =Mean square error =62.81

Sp =(62.81)1/2 =7.9253

source degree of freedom sum of sq Mean sq F P value Groups 3 476.88 158.96 2.5308 0.0746 Error 32 2009.92 62.81 Total 35

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.