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, s^{2} in group 1 is 20, and s^{2} 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

Hopefully this will help you. In case of any query, do comment. If you are satisfied with the answer, give it a like. Thanks.

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