Question

A team of comparative psychologists are interested in the maternal behavior or rats. In an experiment, 10, 20, and 25 day-old rat pups were separated from their mothers. They then recorded the time (in seconds) required for the mother rats to retrieve the pups. The psychologists were interest in whether retrieval time varies with age. The data are given below. What can be concluded with an α of 0.05?

10 days old	20 days old	25 days old
16 11 26 16 21 19	31 16 21 26 24 23	56 26 41 34 36 31

a) What is the appropriate test statistic?
---Select--- na one-way ANOVA within-subjects ANOVA two-way ANOVA

b) Compute the appropriate test statistic(s) to make a decision about H₀.
critical value =  ; test statistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0

c) Compute the corresponding effect size(s) and indicate magnitude(s).
η² =  ;  ---Select--- na trivial effect small effect medium effect large effect

Answer 1

a) The appropriate test statistic - one-way ANOVA

b) Using Minitab software, (Stat -> ANOVA -> One way), we get the following output :

The critical value is

The value of test statistic

Since , so we reject H₀ at 0.05 level of significance.

c) and effect size is large.