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

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

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 ...
View Full Document

Page1 / 3

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

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online