1. Unit 10: Repeated Measures ANOVA Lesson 1: Further Applications of the ANOVA EDER 6010: Statistics for Educational Research Dr. J. Kyle Roberts University of North Texas Time Score Next Slide
2. Paired Samples t-test Occasion 3 12 11 12 15 16 14 Next Slide Occasion 2 9 8 7 8 9 8 Occasion 1 5 4 4 5 6 5 Person 1 Person 2 Person 3 Person 4 Person 5 Person 6 t-test t-test t-test
3. Repeated Measures ANOVA Where X ik is person i ’s score in group k T is the sum of all scores N is the total number of observations Next Slide NOTICE: No means!!!
4. Sum of Squares Total SS T = 54.667 Next Slide ANOVA Repeated Measures
5.
6. Why Do RM? (cont). 1. The partitioning of the variation in the ANOVA needs to be adjusted so that we are using the correct df (and SS) to compute F-calc based on the corrected MS error . 2. We may or may not improve our chances of obtaining statistical significance. 3. Since we are partitioning out the variation due to individual differences from the residual variation (error), we will most likely note a larger eta-squared (this is an artificial eta-squared, however). Next Slide
7. Setting Up The Data Use the same example data for repeated measures as is in your book Mean test1 = 6.1 Mean test2 = 10.6 Mean test3 = 15.3 Next Slide
8. Using SPSS for Analysis Analyze General Linear Model Repeated Measures Next Slide
19. Unit 10: Repeated Measures ANOVA Lesson 1: Further Applications of the ANOVA EDER 6010: Statistics for Educational Research Dr. J. Kyle Roberts University of North Texas Time Score