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Unformatted text preview: an OnePopulation Variance TwoPopulation Variances MorethantwoPopulation Means MorethantwoPopulation Means (ANOVA)
Like before, F is the ratio between two sample variances: F
2 SB 2 Sp SST k SSE n 1 k MST MSE 2 But now S1 is the variance of different population means around a pooled mean (or grand mean), i.e., 2 SB k j 1 nj xj 1 x 2 k SST k1 MST 2 and Sp is the (pooled) variance of the samples around its own means: 2 Sp k j 1 nj k j 1 nj 1 Sj2 1 k j1 nj i1 xji k xj 2 n
13 SSE nk MSE Statistical Inference Types of Test Exercises OnePopulation Mean TwoPopulation Mean OnePopulation Variance TwoPopulation Variances MorethantwoPopulation Means MorethantwoPopulation Means (ANOVA)
If all the means are equal (null hypothesis cannot be not rejected), the variance between samples will be 0 (zero), 2 S1 MST 0. Otherwise, the variance between samples will be greater 2 than zero, S1 MST 0. In other words, H0 H1
1 2 k MST 0 MST 0 At least two means are different from each other Thus it is a onetailed test and you are always looking at the upper tail.
14 Statistical Inference Types of Test Exercises Midterm Questions # 12, p. 226 # 10, p. 225 # 14, p. 226 # 24, p. 231 # 2931, p. 233 15...
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This note was uploaded on 02/14/2011 for the course ECON 203 taught by Professor Petry during the Spring '09 term at University of Illinois, Urbana Champaign.
 Spring '09
 PETRY
 Economics

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