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CH8 Notes

# CH8 Notes - Methods of Statistical Inference Independent...

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Methods of Statistical Inference 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 _ _ _ _ X1 + X2 + X3 / 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. Variation Due To Differences among Treatment Means : Total Variation = Variation Due To Random Error

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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 individual observations in a
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CH8 Notes - Methods of Statistical Inference Independent...

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