215 Handout_12(chap 16)

# 215 Handout_12(chap 16) - Handout#12 One-Way ANOVA STA 215...

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Unformatted text preview: Handout #12: One-Way ANOVA STA 215: Introductory Applied Statistics Dr. Jann-Huei Jinn Goal: compare several populations (or groups) in terms of comparing means o H : All μ i 's are equal, that is o H : k μ μ μ = = = ... 2 1 a H : Not all μ i 's are equal (some μ i 's are different) Example: Compare four population means: o H : μ 1 = μ 2 = μ 3 = μ 4 (if we compared two population means, this would be two-independent sample t-test) Idea: compare Between groups variation to Within groups variation. If the former is much higher, then conclude that not all group means are equal. Notation: the total number of groups (populations, treatments, etc.) is denoted by k . The number of observations in each sample is denoted by n i , i=1,2,…, k The total number of observations is denoted by N =n 1 + n 2 + … + k n . Assumptions to perform One-Way ANOVA: • We have k independent SRSs , one from each of k populations....
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215 Handout_12(chap 16) - Handout#12 One-Way ANOVA STA 215...

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