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Two statistics assignments from a university course. The first assignment investigates the effect of different sandwich components (bread, filling, and butter) on the number of meat ants attracted. The second assignment explores the relationship between step height and stepping frequency on the heart rate change of college students. For both assignments, students conducted experiments, collected data, and performed statistical analyses.
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STATISTICS 402 – Assignment 10 Due April 27, 2009
Filling Vegemite Peanut Butter Ham and Pickle Bread Butter Yes No Yes No Yes No 22 18 27 43 68 44 Rye 45 31 50 36 65 54 57 29 42 59 58 34 Whole meal (^42 21 36 47 77 ) 26 42 60 22 63 36 Multi-grain 28 38 47 19 76 59 52 42 57 24 66 48 White 40 25 51 21 59 53
a. Use the sample size tables from earlier in the semester to determine the size of the difference in mean quality that can be detected when comparing the:
Stepping Frequency 14 steps/min 21 steps/min 28 steps/min Student Step Height 5.75 in 11.5 in 5.75 in 11.5 in 5.75 in 11.5 in 1 16 39 21 52 24 66 2 9 33 21 50 42 60 3 8 18 24 27 27 51 4 9 15 15 28 18 40 5 16 26 28 49 43 59 6 4 15 15 16 20 40
a. Construct a complete ANOVA table for the analysis of the change in heart rate. You can use JMP to do the calculations. b. What, if any, factors and interactions are significant? Support your answers statistically. c. If a factor is significant, what levels are significantly different from other levels? Be sure to include the value of the LSD or HSD used. d. Construct and interpret an appropriate interaction plot. e. Based on your analysis, comment on the effects of step height and rate of stepping on the change in heart rate. f. How important was blocking on the student in this experiment? Support your answer with a statistical argument. This may involve additional analysis. g. If the response had been pulse rate after stepping rather than change in pulse rate, would blocking on student have been more or less important? Explain your reasoning.