1. Ledolter & Hogg: Applied Statistics Section 6.2: Other Inferences in One-Factor Experiments (ANOVA, continued) 1

2. Completely Randomized Experiment: Fixed effects model k treatment groups Experimental units assigned to treatments at random. Thus samples from each treatment group are independent. Assume each treatment group has a mean and distribution of response about mean follows normal distribution. (Here) assume equal variance within each treatment group. 2

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6. Section 6.2-2: Confidence Interval For a particular difference This procedure only works for one confidence interval. Particular difference should have been selected prior to experiment. Creating multiple CI based on same data will increase probability of error somewhere. What to do? 6

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8. Section 6.2-3: Tukey to the rescue! Tukey’s Multiple-Comparison Procedure a.k.a. Tukey’s Honest Significance Difference Test Calculate confidence interval uses Studentized Range distribution instead of t-distribution (see Table C.8, p.574) 8

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10. Fixed effects model vs Random effects model (Section 6.2-5) k treatment groups (both models) Fixed effects model: k is fixed. Results can’t be extended to include other treatments. (Why?) Group means are fixed but unknown. Random effects model: k represents a sample of “treatments” (e.g. batches) Group means are a random variable 10

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