During a particular baseball trout, 8 baseball players were given 40 pitches each. Of each player’s 40 pitches, 20 pitches came from left-handed pitchers and 20 came from right-handed pitchers. Of the 20 pitches that each player saw from each of the pitchers, 10 pitches were curve balls and 10 pitches were fastballs. The number of base hits that each player had under each condition was recorded. Use RStudio to accomplish the following steps of a two-factor repeated-measures ANOVA, with with α = 0.05 and: Factor A: PitchHand (A1: Left, A2: Right) Factor B: PitchType (B1: Curve, B2: Fastball) (a) use RStudio to calculate and print the total for each AB condition, the overall totals for each level of Factors A and B, and the totals for each subject. Use the xtabs() function to tabulate the totals for each subject. (b) Use RStudio to calculate all of the necessary sum of squares terms necessary for your analysis (SSTotal, SSA, SSB, SSS, SSAxB, SSerrorA, SSerrorB, SSerrorAB), as well as the corresponding degrees of freedom. Print the sum of squares values. (c) Use RStudio to calculate and print all mean square terms (MSA, MSB, MSS, MSAxB, MSerrorA, MSerrorB, MSerrorAB), each F-statistic (FA, FB, FS, FAxB), and all four critical F-values. Also find the p-values for each associated F-statistic. (d) Interpret the results (regarding main effects and interaction). (e) Use the aov() function to run the same two-factor repeated-measures ANOVA to verify your results above. Use the summary() function to print the results of your aov() call. (f) Use RStudio to plot the difference in means. Mean number of hits should be represented on the y-axis and pitch type (Curve, Fastball) should be represented on the x-axis.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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During a particular baseball trout, 8 baseball players were given 40 pitches each. Of each player’s 40 pitches, 20 pitches came from left-handed pitchers and 20 came from right-handed pitchers. Of the 20 pitches that each player saw from each of the pitchers, 10 pitches were curve balls and 10 pitches were fastballs. The number of base hits that each player had under each condition was recorded. Use RStudio to accomplish the following steps of a two-factor repeated-measures ANOVA, with with α = 0.05 and: Factor A: PitchHand (A1: Left, A2: Right) Factor B: PitchType (B1: Curve, B2: Fastball) (a) use RStudio to calculate and print the total for each AB condition, the overall totals for each level of Factors A and B, and the totals for each subject. Use the xtabs() function to tabulate the totals for each subject. (b) Use RStudio to calculate all of the necessary sum of squares terms necessary for your analysis (SSTotal, SSA, SSB, SSS, SSAxB, SSerrorA, SSerrorB, SSerrorAB), as well as the corresponding degrees of freedom. Print the sum of squares values. (c) Use RStudio to calculate and print all mean square terms (MSA, MSB, MSS, MSAxB, MSerrorA, MSerrorB, MSerrorAB), each F-statistic (FA, FB, FS, FAxB), and all four critical F-values. Also find the p-values for each associated F-statistic. (d) Interpret the results (regarding main effects and interaction). (e) Use the aov() function to run the same two-factor repeated-measures ANOVA to verify your results above. Use the summary() function to print the results of your aov() call. (f) Use RStudio to plot the difference in means. Mean number of hits should be represented on the y-axis and pitch type (Curve, Fastball) should be represented on the x-axis.