Five treatments (Placebo, A, B, C) including a placebo were randomly assigned to
ID: 3218207 • Letter: F
Question
Five treatments (Placebo, A, B, C) including a placebo were randomly assigned to 28 patients. Data below give for each treatment the number of days (response variable y) for healing to be complete: For completely randomized design one-way AOV, state the null and alternative hypotheses. For the test of hypothesis in Question 1, calculate the test statistic F', the P-value, and make a decision about Ho based on a = 0.05. Use the AOV results of Question 2. Use Notes 7 and 8 from Unit 2. Calculate the LSD and Tukey comparison criteria based on a = 0.05. | Use the criteria in part to construct the 95% confidence intervals for all pairs, and indicate where the differences lie based upon the confidence intervals.Explanation / Answer
1)
H0: µA = µB = µC = µplacebo
H1: At least one of the four population means is different from the others
2)
R output:
Reject Ho as p value < 0.05
3)
LSD = t*sqrt(2MSE/n), t with dferror = 24 = 2.0639, LSD = 2.0639*sqrt(2*1.952/7) = 1.5413
HSD = q*sqrt(MSE/n) = 4.541*sqrt(1.952/7) = 2.3980
CI using LSD
CI based on HSD
The differences lie between placebo and treatment a, placebo and treatment b according to both Fisher's LSD and Tukey's HSD methods
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