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

Question

The One-Way ANOVA applet lets you see how the F statistic and the P-value depend on the variability of the data within groups and the differences among the means.

http://digitalfirst.bfwpub.com/stats_applet/stats_applet_1_anova.html

(a) The black dots are at the means of the three groups. Move these up and down until you get a configuration that gives a P-value of about 0.01. What is the value of the F statistic?

(b) Now increase the variation within the groups by dragging the mark on the pooled standard error scale to the right. Describe what happens to the F statistic and the P-value. Explain why this happens.

Explanation / Answer

Solution:-

a)

p value = 0.01, F value = 4.97

b) As the standard deviation is increased F value decreases, hence p value increases.

As the standard deviation is increasing the test statistics always decreases.

As the F value is decreasing the p value will start increasing.

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