Spring 2010 Midterm 1 Review Slides

# Different from the others or at least one equality in

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: an One-Population Variance Two-Population Variances More-than-two-Population Means More-than-two-Population 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 One-Population Mean Two-Population Mean One-Population Variance Two-Population Variances More-than-two-Population Means More-than-two-Population 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 one-tailed 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 # 29-31, p. 233 15...
View Full Document

## 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.

Ask a homework question - tutors are online