a. The overall ANOVA model indicated that at least 2 of the 3 groups differed si
ID: 3361557 • Letter: A
Question
a.The overall ANOVA model indicated that at least 2 of the 3 groups differed significantly in terms of the average amount of insulin released (p = 0.013). The researchers summarized their results by presenting the following pair-wise comparison results, where each p-value is based on a 2-sample independent t-test without adjustment.
Comparison
p-value
Stimulant 1 vs. Stimulant 2
0.02
Stimulant 1 vs. Stimulant 3
0.006
Stimulant 2 vs. Stimulant 3
.63
What conclusions can be drawn regarding the differences between pairs of patient groups assuming an experiment-wise, 2-tailed 0.05 alpha level.
Comparison
p-value
Stimulant 1 vs. Stimulant 2
0.02
Stimulant 1 vs. Stimulant 3
0.006
Stimulant 2 vs. Stimulant 3
.63
Explanation / Answer
P-Value < alpha level ; Reject null hypothesis.
Null hypothesis : Difference between pairs of patient groups = 0
Comparison : Stimulant 1 Vs Stimulant 2 : p-value = 0.02 ; hence p-value : 0.02 less than 0.05 (Alpha); Hence reject null hypothesis. Difference between Stimulant 1 Vs Stimulant 2 patient groups is not zero.
Comparison : Stimulant 1 Vs Stimulant 3 : p-value = 0.006 ; hence p-value : 0.006 less than 0.05 (Alpha); Hence reject null hypothesis. Difference between Stimulant 1 Vs Stimulant 3 patient groups is not zero.
Comparison : Stimulant 2 Vs Stimulant 3 : p-value = 0.63 ; hence p-value : 0.63 greater than 0.05 (Alpha); Hence do not reject null hypothesis. Difference between Stimulant 2 Vs Stimulant 3 patient groups is zero.
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