Repeated-measures ANOVA Suppose you are interested in studying whether lighting
ID: 3181446 • Letter: R
Question
Repeated-measures ANOVA Suppose you are interested in studying whether lighting brightness affects spatial reasoning abilities. You decide to test spatial reasoning using completion time scores for the paper-folding test with five people, repeating the test on each person with three different lighting levels (800, 1, 000, and 1, 200 lux). In this experiment, the null hypothesis is that: There are no differences in the mean completion times among the lighting levels compared There are no individual differences in the completion time means The completion time mean for at least one lighting brightness is different from another The factor of interest is the lighting brightness, and the dependent variable is the completion time. The results of the study are presented in the following data table. All scores are times necessary to complete the paper-folding task, recorded in seconds. The three treatments in the experiment define three populations of interest. You use an ANOVA to test the hypothesis that the three population means are equal. Present the results of your analysis In the following ANOVA table by entering the missing df values and selecting the correct values for the missing SS, MS, and F entries. Use the Distributions tool to find the critical value for alpha = .05. The critical value is F = _____. At a significance level of alpha = .05, evaluate the null hypothesis that the population means for all treatments are equal. The null hypothesis is _____. You _____ conclude that lighting brightness affects spatial reasoning abilities.Explanation / Answer
The table is completed as below:-
The critical value for F is
The null hypothesis is there are no differences in the mean completion times among the lighting levels compared. You cannot reject the null hypothesis.
ANOVA Source of Variation SS df MS F P-value F crit Between treatments 0.108013333 2 0.054006667 0.715541227 Within treatments 0.90572 12 0.075476667 Between subjects 0.789133333 4 0.197283333 Error 0.116586667 8 0.014573333 Total 1.013733333 14The critical value for F is
3.885293835.The null hypothesis is there are no differences in the mean completion times among the lighting levels compared. You cannot reject the null hypothesis.