ANOVA2

# ANOVA2 - ANOVA – Example Consider the following example....

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Unformatted text preview: ANOVA – Example Consider the following example. In teaching MATLAB programming language, three schools adopt three different styles. v v v School A : straight computer-based instruction School B : Instructor + some direct experience working with computer School C : Instructor only Five students were selected randomly from each school. The School B School C following scoresSchool obtained in an appropriate achievement were A test. 73 91 72 77 77 67 87 76 71 85 79 72 9/19/11 81 86 76 School of Chemical 11 ANOVA – Illustration æ 74 77 68 71 70ö ç ÷ Data = ç92 81 88 85 84 ÷ ç ÷ è 71 77 75 79 78ø Picture 25 æ72 72 72 72 72ö 74 77 68 71 70ö ç ÷ ÷ = ç92 86 86 86 86÷ 86 81 88 85 84 ÷ ç ÷ ÷ 71 77 75 79 78ø è76 76 76 76 76ø Picture 23 y ij = y i× + ( y ij - y i×) Picture 24 æ72 78 78 78 78ö 78 72 72 72 72 ç ÷ = ç78 78 78 78 78÷ 86 86 86 86 86 ç ÷ 76 76 76 76 76 è78 78 78 78 78ø y ij = y× + ( y i× - y×) + ( y ij - y i×) × × 9/19/11 School of Chemical 22 ANOVA – Formulation Picture 26 y ij - y× = ( y i× - y×) + ( y ij - y i×) × × 2 2 [ y ij - y×] = [( y i× - y×) + ( y ij - y i×)] × × ... ... k ni åå i =1 j =1 k ni [ y ij - y×] = å [ y i× - y×] + å × × å 2 k i =1 2 2 [ y ij - y i×] i =1 j =1 SSTotal = SSTreatments + SSError 9/19/11 School of Chemical 33 ...
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## ANOVA2 - ANOVA – Example Consider the following example....

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