The Analysis of Variance ANOVA The Analysis of Variance ANOVA
The Analysis of Variance ANOVA The Analysis of Variance ANOVA
The Analysis of Variance ANOVA The Analysis of Variance ANOVA
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μ-3σ μ-2σ μ-σ μ μ+σ μ+2σ μ+3σ<br />
A typical dataset can be summarized as follows:<br />
1<br />
2<br />
Single Factor<br />
Experiments<br />
Treatment Observations Totals Averages<br />
x x x x x<br />
11 12 1J 1i 1i<br />
x x x x x<br />
21 22 2J 2i 2i<br />
<br />
I x x x x x<br />
I1 I2 IJ Ii Ii<br />
x x<br />
ii ii<br />
If we were to replace each trial with the mean <strong>of</strong> its observation, the difference between the<br />
mean and the observed value is called the residual. <strong>The</strong>se are expected to have a normal<br />
distribution, which can be checked using a normality plot.<br />
eij = xij − xii<br />
© 2006 All Rights Reserved, Robi Polikar, Rowan University, Dept. <strong>of</strong> Electrical and Computer Engineering
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