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The One-Way ANOVA applet lets you see how the F statistic and the P-value depend on...

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Advance Math

The One-Way ANOVA applet lets you see how theF statistic and the P-value depend on thevariability of the data within groups, the sample size, and thedifferences among the means.

(a)

The black dots are at the means of the three groups. Move theseup and down until you get a configuration that gives aP-value of about 0.01. What is the value of the Fstatistic?

(b)

Now increase the variation within the groups by sliding thestandard deviation bar to the right. Describe what happens to theF statistic and the P-value.

c)

Using between- and within-group variation, explain why theF statistic and P-value change in this way.

The One-way applet:

Std.Dev. =1.95, Mean =6.08

Std. Dev. =1.85, Mean=4.21

Std.Dev. =1.84, Mean=4.86

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