MATH 1P98 Lecture Notes - Lecture 6: Analysis Of Variance, Nacre, United States Golf Association

• School: Brock University
• Department: Mathematics and Statistics
• Course: MATH 1P98
• Professor: Andrewskelton

Document Summary

Textbook sections: 12-1, 12-2, 12-3* rst tarsus for genus chaetocnema. The length (in microns) of the width of the joint of the rst tarsus is measured for three di erent species in the genus chaetocnema. Population 1 (mu1, sigma1) = sample 1 (x-bar1, sample variance1, sample size1) Population 2 (mu2, sigma2) = sample 2 (x-bar2, sample variance2, sample size2) Population 3 (mu3, sigma3) = sample 3 (x-bar3, sample variance3, sample size3) Ho: mu1 = mu2 = mu3 (true mean joint width is the same for all 3 species of beetle) Ha: at least one species has a different mean joint width from at least one other species. To determine if there is statistical evidence against the null hypothesis, we use a procedure called anova (analaysis of variance). Each population should be normally distributed (qq-plots of samples) Sigma1 = sigma2 = sigma3 (population std. dev. should be equal) 1. 5 1. 0 0. 5 0. 0 s e l i t n a u.