Question

1. A researcher is comparing scores from two treatment groups using independent samples t test. Use a Hartley’s F-max test to examine this assumption (each group has 6 participants, s² in group 1 is 20, and s² in group 2 is 15, set alpha level at .05). Also, how should this researcher estimate the standard error in the independent samples t test?

Answer 1

The number of participants is n=6

Variance of group 1=20

Variance of group 2=15

=0.05, given

Now the test statistic is given by

The critical value is obtained from the Biometrika table is given by

As the value is close to 1 and again the observed value is less than the critical value, it can be concluded that the variances are homogeneous at 5% level of significance.

Standard error in the sample is estimated by

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