One-factor ANOVA with two groups is equivalent to a two-tailed t-test.
 We might now be able to reject the null hypothesis.
       |  | True | 
    |  | False 
 Tukey\'s test is similar to a two-sample t-test except that  it pools the variances for all c samples.
       |  | True |    |  | False 
 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?
       |  | We cannot reject  H0 since we obtained the same  F-value. |    |  | It is impossible to get the same  F-value for n = 60 as for n = 30. |    |  | We surely must reject  H0 for 60 observations. |    |  | We might now be able to reject the null hypothesis. |  |  | 
    
True
 It is impossible to get the same F-value for n = 60 as for n = 30.