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CLICK HERE FOR THE PHOTO OF ANOVA TABLE!

I have the anova table like this and the question is asking me to find the p-value using R or otherwise, can someone help me with this? I'm totally struggling with this question.

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    $\begingroup$ have a look at ?pf $\endgroup$
    – user20650
    Commented Oct 16, 2016 at 19:29

1 Answer 1

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It should be as follows:

1-pf(171.5410/13.3074, 2, 325)

You get your F statistic from the ratio of MS-Group and MS-Error. Plugging in the degrees of freedom for numerator and denominator (i.e. 2 and 325 respectively) into F distribution, we get p-value as:

4.098518e-06

In other words, difference among means is statistically significant.

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    $\begingroup$ To get upper tail probabilities you should use lower.tail=FALSE with pf rather than doing 1-pf; it's considerably more accurate in the upper tail $\endgroup$
    – Glen_b
    Commented Oct 17, 2016 at 7:22

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