Question

Use the data to complete the following:

(a) Conduct a Two-Way ANOVA and explain all results.

(b) If either (a) or (b) are significant, choose an appropriate MCT to test for specific mean differences.

The table below shows percentages of 50 patients with various adverse reactions during a clinical trial of Lipitor (Atorvastatin). The groups are 10 mg, 20 mg, 40 mg, and placebo. So, for example, 7% of 50 patients (n=3.5) experienced Nasopharyngitis at some point during the trial with 40 mg of Lipitor.

N =       50            50 50 50

Reactions	10 mg	20 mg	40 mg	Placebo
Nasopharyngitis	12.9	5.3	7.0	8.2
Arthralgia	8.9	11.7	10.6	6.5
Diarrhea	7.3	6.4	14.1	6.3
Pain in extremity	8.5	3.7	9.3	5.9
Urinary tract infection	6.9	6.4	8.0	5.6

Answer 1

factor1 = Reaction

factor2 = groups

Hypothesis are,

H01: Vs H11: Atleast 4 means are different.

H02: Vs H12 : Atleast 3 means are different.

General Linear Model: response versus factor1, factor2

Factor Information

Factor Type Levels Values
factor1 Fixed 5 1, 2, 3, 4, 5
factor2 Fixed 4 1, 2, 3, 4

Analysis of Variance

Source DF Adj SS Adj MS F-Value P-Value
factor1 4 21.50 5.374 0.90 0.496
factor2 3 39.94 13.312 2.22 0.138
Error 12 71.93 5.994
Total 19 133.36

pvalue of factor1 and factor2 > alpha = 0.05

Do not reject null hypothesis.