# Relationship of T-test and Effect Size

Can you explain the data what are the assumptions of correlated groups t test provided?

1.What are the assumptions of a correlated groups t test?

2.What measure of effect size is used for a correlated-groups t test?

3.The student decides to conduct the same study using a within-participants design in order to control for differences in cognitive ability. He selects a random sample of participants and has them study different material of equal difficulty in both the music and no music conditions. The data appear below. As before, they are measured on an interval ratio scale and are normally distributed.

Music

6, 7, 6, 5, 6, 8, 8

No music

10, 7, 8, 7, 7, 9, 8

A what statistical test should be used to analyze these data?

B Identify Ho and Ha for this study

C Conduct the appropriate analysis

D Should Ho be rejected? What should the researcher conduct

e. If significant, compute the effect size and interpret

f. If significant, draw a graph representing the data.

4. The formula is N-1 instead of N+N-2 where N is the number of participants in one group or in one sample. The way the null hypothesis is stated is also different.

Also, one advantage of the correlated-groups t test over the independent-groups t-test is that is reduces the error variance due to individual differences.

Which one do you prefer?

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#### Solution Summary

The solution gives detailed steps on solving a couple of statistical questions on t-test for two independent sampes and two dependent sampes and effect size.