Exam 11: Correlated Groups T-Test

It is typically the case that the estimated standard error for the correlated groups t test is larger than the estimated standard error for the independent groups t test.

The correlated-groups t test is robust to violations of the normality assumption if _____.

In what sense are the correlated groups t test and the independent groups t test equivalent?

Dr.August is investigating whether or not women have more job satisfaction after they are given praise or a gift card (different levels or rewards).She has recruited 10 women from Intel and for 6 months the women received praise then the next 6 months they received a gift card.The conditions were counterbalanced and a survey on job satisfaction was distributed following the treatment conditions or every 6 months until the research was completed.After finishing her study Dr.August was busy writing a grant,therefore she has asked you to analyze her data below.Please note the survey was based on 1-5 Likert scale with high scores indicating high job satisfaction and low score indicating dissatisfaction. After calculating the t-value can you reject the null hypothesis? (Note she used a nondirectional test with the alpha level set at 0.05 so the table t was 2.776).

With smaller sample sizes,larger population effect sizes are necessary to obtain adequate statistical power.