CH 8 Notes

CH 8 Notes - Methods of Statistical inference for Chapter 8...

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Methods of Statistical inference for Chapter 8 Independent samples design Sample 1 Sample 2 Sample 3 Property Appraiser 1 Property Appraiser 2 Property Appraiser 3 1 x 11 6 x 21 11 x 31 2 x 12 7 x 22 12 x 32 3 x 13 8 x 23 13 x 33 4 x 14 9 x 24 14 x 34 5 x 15 10 x 25 15 x 35 __ __ __ X 1 X 2 X 3 __ X H 0 : μ 1 = μ 2 = μ 3 H a : at least one is different Assumptions: 1. Independent Samples 2. Normal Distributions 3. Equal Variances, i.e., σ 2 1 = σ 2 2 = σ 2 3 4. Stable Process- Processes are free from assignable causes of variation.
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Variation Due To Differences among Treatment Means Total Variation = Variation Due To Random Error SST = SSTR + SSE __ __ __ __ ∑ ∑ (X i j - X) 2 = ∑ n i (X i – X) 2 + ∑ ∑( X i j – X j ) 2 Total Variation within a data set is measured by the Total Sum of Squares . Treatment Sum of Squares measures the variation among the sample means caused by treatment differences and random error. Variation due to random error is determined by computing the squared deviation of
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CH 8 Notes - Methods of Statistical inference for Chapter 8...

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