STA 106 Homework Assignment 5
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STA 106 Homework Assignment 5
Please read and follow the instructions on Canvas.
1. Download diagnostics .csv from Canvas. Let the ANOVA model be
Yij = µi + eij , i = 1, 2, 3, 4,j = 1, . . . ,ni ,
where i indicates the level of treatment (i = 1: A; i = 2: B; i = 3: C;i = 4: D). Fit the above model on the data in R.
(a) (20 pts) Construct simultaneous 95% confidence intervals for L1 = µ2 −µ 1 , L2 = µ3 −µ 1 ,
and L3 = µ4 − µ 1 using Bonferroni correction.
(b) (20 pts) Interpret the constructed confidence intervals in Part (a).
(c) (20 pts) Construct simultaneous 95% confidence intervals for L1 = µ2 −µ 1 , L2 = µ3 −µ 1 , and L3 = µ4 − µ 1 using Tukey-Kramer method.
(d) (20 pts) Which set of simultaneous confidence intervals would you use? Explain.
(e) (20 pts) Explain briefly how to apply Scheffe method to construct the confidence inter-
vals for L1 ,L2 , and L3 .
2023-05-26