Statistics for the Behavioral Sciences
Statistics for the Behavioral Sciences
3rd Edition
ISBN: 9781506386256
Author: Gregory J. Privitera
Publisher: SAGE Publications, Inc
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Chapter 13, Problem 29PR
To determine

State the three rules for identifying when the within-subjects design is likely to be a powerful test than the between-subjects design.

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Iranian researchers studied factors affecting patients’ likelihood of wearing orthodontic appliances, noting that orthodontics is perhaps the area of health care with the highest need for patient cooperation (Behenam & Pooya, 2007). Among their analyses, they compared students in primary school, junior high school, and high school. The data that follow have almost exactly the same means as the researchers found in their study, but with far smaller samples. The score for each student is his or her daily hours of wearing the orthodontic appliance. Did age of students impact how long they wore the orthodontic appliance for? Use alpha of .05. Primary school: 16, 13, 18 (M= 15.67, s= 2.52) Junior high school: 8, 13, 14, 12 (M= 11.75, s=2.63) High school: 20, 15, 16, 18 (M= 17.25, s= 2.22)
In a two-factor ANOVA, if there is a significant interaction: a. the interpretation of significant main effects is independent of the interaction. b. the interpretation of any significant main effects should be ignored. c. both of the main effects are also significant. d. at least one of the main effects is significant.
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