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Unformatted text preview: variances
The MS(B) and MS(W) are two sample
variances and that’s what we divide to find F.
F = MS(B) / MS(W) For our data, F = 951.0 / 161.2 = 5.9 31 One-Way ANOVA
One-Way Adding F to the table … Source SS df MS Between 1902 2 951.0 Within 3386 21 161.2 Total 5288 23 F p 229.9 5.9 32 One-Way ANOVA
One-Way The F test is a right tail test
The F test statistic has an F distribution
with df(B) numerator df and df(W)
The p-value is the area to the right of the
P(F2,21 > 5.9) = 0.009 33 One-Way ANOVA
One-Way Completing the table with the pvalue Source SS df MS Between 1902 2 951.0 Within 3386 21 161.2 Total 5288 23 F p 229.9 5.9 0.009 34 One-Way ANOVA
One-Way The p-value is 0.009, which is less than
the significance level of 0.05, so we reject
the null hypothesis.
The null hypothesis is that the means of
the three rows in class were the same, but
we reject that, so at least one row has a
different 35 One-Way ANOVA
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This note was uploaded on 02/25/2013 for the course STATS 104 taught by Professor Mrs during the Spring '13 term at Lahore University of Management Sciences.
- Spring '13