Unformatted text preview: ation from the
They
mean and are found by dividing the variation by the
degrees of freedom
degrees
MS = SS / df Variation
Variance =
df
27 OneWay ANOVA
OneWay MS(B)
MS(W)
MS(T) = 1902 / 2
= 3386 / 21
= 5288 / 23 = 951.0
= 161.2
= 229.9 Notice that the MS(Total) is NOT the sum of
Notice
MS(Between) and MS(Within).
MS(Between)
This works for the sum of squares SS(Total),
This
but not the mean square MS(Total)
but
The MS(Total) isn’t usually shown
28 OneWay ANOVA
OneWay Completing the MS gives … Source SS df MS Between 1902 2 951.0 Within 3386 21 161.2 Total 5288 23 F p 229.9
29 OneWay ANOVA
OneWay Special Variances The MS(Within) is also known as the pooled
The
estimate of the variance since it is a weighted
average of the individual variances
average Sometimes abbreviated
Sometimes s 2 p The MS(Total) is the variance of the response
The
variable.
variable. Not technically part of ANOVA table, but useful none the
Not
less
less 30 OneWay ANOVA
OneWay F test statistic An F test statistic is the ratio of two sample
An...
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 Spring '13
 mrs
 Variance

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