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ams572_notes_7

# ams572_notes_7 - AMS 572 Lecture Notes 7 Oct 1 st 2010...

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Unformatted text preview: AMS 572 Lecture Notes 7 Oct. 1 st , 2010 (* Please check your lecture notes for solutions to Quiz 2.) Ch8 Inference on two population means (and two population variances). 1. The samples are paired ⇒ paired sample t-test 2. The samples are independent ⇒ independent sample t-test a) 2 2 1 2 σ σ = ⇒ pooled-variance t-test b) 2 2 1 2 σ σ ≠ ⇒ unspooled-variance t-test (Note: to check if 2 2 1 2 σ σ = , use F-test) 1. Inference on two population means: Paired samples: e.g. Compare the IQ between adult male and female Pair IQ Male IQ Female Diff 1 200 199 1 2 150 120 30 … … … … n 109 112-3 *** After taking the paired differences – make sure you use one variable to subtract the other, consistently – the two population/sample problem reduced to a one population/ one sample problem – on the population/sample of the paired differences 1 : : male female a male female H H μ μ μ μ = ⇔ : : diff a diff H H μ μ = : : male female a male female H H μ μ μ μ = < ⇔ : : diff a diff H H μ μ = < : : male female a male female H H μ μ μ μ = ≠ ⇔ : : diff a diff H H μ μ = ≠ SAS code: data twins; input IQmale IQfemale; diff= IQmale-IQfemale; datalines ; 200 199 150 120 ......
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ams572_notes_7 - AMS 572 Lecture Notes 7 Oct 1 st 2010...

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