Using onefactor ANOVA with 30 observations we find at 05 t

Using one-factor ANOVA with 30 observations we find at ? = .05 that we cannot reject the null hypothesis of equal means. We increase the sample size from 30 observations to 60 observations and obtain the same value for the sample F-test statistic. Which is correct?

	It is impossible to get the same F-value for n = 60 as for n = 30.
	We cannot reject H₀ since we obtained the same F-value.
	We might now be able to reject the null hypothesis.
	We surely must reject H₀ for 60 observations.

For example let us assume for 30 observeation 5 x 6

Then df = 4x5

For f value = 3, and 30 observations of 5 x6, p value = 0.1292

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Same F value =3, 6x10, df = 5x9

p value = 0.0725

Thus we observe that p value considerably varies.

Suppose alpha 0.05 lies between these two p values, decision will completely vary.

Hence correct answer is

We might now be able to reject the null hypothesis.

Using one-factor ANOVA with 30 observations we find at ? = .05 that we cannot reject the null hypothesis of equal means. We increase the sample size from 30 obs

Using onefactor ANOVA with 30 observations we find at 05 t

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