In addition to monitoring weight gain, food consumed, and activity level, the st

Question

In addition to monitoring weight gain, food consumed, and activity level, the study measured stress levels in the mice by measuring corticosterone levels in the blood (higher levels indicate more stress.) Conditions for ANOVA are met and computer output for corticosterone levels for each of the three light conditions is shown.

DM LD LL

One-way ANOVA: Corticosterone versus Light SourceDF SS MS F P Light 2 2713 1357 0.43 0.656 Error 24 75782 3158

(a) What is the conclusion of the analysis of variance test?

(b) One group of mice in the sample appears to have very different corticosterone levels than the other two. Which group is different? What aspect of the data explains why the ANOVA test does not find this difference significant? How is this aspect reflected in both the summary statistics and the ANOVA table?

Explanation / Answer

a) Ans: The calculated p-value from the ANOVA table is 0.656. It is greater than 0.05 level of significance. Hence, we may accept the null hypothesis and say that there is no significant defferent of corticosterone levels in the blood under the three light conditions.

b) Ans: One group of mice in the sample appears to have very different corticosterone levels than the other two is LL with mean 50.83.

If two mean is difffernt as a value can not say that it will be different statisticaly.That is why the ANOVA test does not find this difference significantly.

This aspect reflected in both the summary statistics and the ANOVA table that is "a statistically significant result (usually a difference) is a result that's not attributed to chance."

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