An experiment is conducted to study the influence of operating temperature and three types of faceplateglass in the light output of an oscilloscope tube. The following data are collected: temperature
Glass type 100 125 150
1 58.0,56.8,57.0 107,106.7,106.5 129.2,128.0,128.6
2 55,53,57.9 107,103.5,105 117.8,116.2,109.9
3 54.6,57.5,59.9 106.5,107.3,108.6 101.7,105.4,103.9
(a) Write down the statistical model. Use ANOVA to test if the involved factorial effects are significant. State the hypotheses and use ? = 5%.
(b) Obtain the estimates of the main effects and interactions.
(c) Use proper plots to check assumptions.
(d) Generate the interaction plot for glass type and temperature and interpret the interaction.
(e) Use the Bonferroni procedure to perform pairwise comparison for glass type level means (i. e., row means). What is your conclusions?