Chapter 13 HW_VNg

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STUDENT ID Chapter 13 Homework Assignment Reminder: You must show all of your work. Feel free to print it out and do the work and scan it back in OR use Microsoft equation function to type out your work. 1. A recent study indicates that simply giving college students a pedometer can result in increased walking (Jackson & Howton, 2008). Students were given pedometers for a 12- week period, and asked to record the average number of miles per day during weeks 1, 6, and 12. The following data are similar to the results obtained in the study. Use a repeated- measures ANOVA with α =.05 to determine whether the mean number of miles changes significantly from one week to another. Do all 4 steps of conducting a hypothesis test and include summary table. If there is a significant different, calculate the percent of variance that is explained by treatment differences ( 𝜂𝜂 2 ), conduct Tukey’s HSD for all comparisons, and CHOOSE ONE comparison for Scheffe Test. Person Week 1 Week 6 Week 12 Person Totals A 6 8 10 P=24 N =18 B 4 5 6 P=15 G=72 C 5 5 5 P=15 Σ𝑋𝑋 2 = 400 D 1 2 3 P=6 E 0 1 2 P=3 F 2 3 4 P=9 M =3 M =4 M =5 T=18 T=24 T= 30 SS=28 SS=32 SS=4 0
STUDENT ID 2. A researcher is evaluating customer satisfaction with the service and coverage of three phone carriers. Each individual in a sample of n = 16 uses each carrier for one week and then rates each carrier. The following table presents the results from the repeated- measures ANOVA comparing the average ratings. Fill in the missing values in the table. (Hint: Start with the df values.) Source SS df MS F Between Treatments ____ ____ __ 8 __ F=____ Within Treatments ____ ____ Between Subjects ____ ____ Error __60__ ____ ____ Total __ 103 __ ____
STUDENT ID 3. One of the advantages of a repeated-measures design is that it removes the individual differences from the error variance and increases the likelihood of rejecting the null hypothesis. The following data were obtained from a research study comparing three treatment conditions. Treatment 1 Treatment 2 Treatment 3 6 8 10 G=48 � 𝑋𝑋 2 = 294 5 5 5 1 2 3 0 1 2 T=12 SS=26 T=16 SS=30 T=20 SS=38
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STUDENT ID a. Assume that the data are from an independent-measures study using three separate samples, each with n =4 participants, and use an independent-measures ANOVA (Chapter 12 ANOVA) with α =.05 to test for significant differences among the three treatments.
STUDENT ID b. Assume that the data are from a repeated-measures study using one sample of n =4 participants and use a repeated-measures ANOVA with α =.05 to test for significant differences among the three treatments.
STUDENT ID c. Compare your results from part A and part B. 4. A researcher uses a repeated-measures ANOVA to evaluate the results from a research study and reports an F -ratio with 𝑑𝑑𝑑𝑑 = 3, 24 . a. How many treatments conditions were compared in the study? b. How many individuals participated in the study?
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