 Statistical Tests (260 words)

Subject Mathematics General Statistics

Question

Use the following information to ensure successful completion of the assignment:

Researchers wanted to explore self-esteem in adolescent boys and adolescent girls. They used a 5-point Likert-type self-esteem inventory; 1 = strongly disagree and 5 = strongly agree. What if their results yielded the following: t=1.71, d=.90.

Directions:

In an essay of 250-260 words thoroughly answer the following questions:

- What statistical test did the researchers use to determine if there was a statistically significant difference in levels of self-esteem between the boys and the girls?
- What was the purpose of calculating a Cohen's d? When is a Cohen's d calculated? Interpret d=.90. What does it mean in this example?
- What if the researcher compared the adolescent boys before treatment and again after treating them for depression? What type of t-test would be most appropriate in this case, and why?

Solution Preview

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The statistical test they performed assumed that the two groups were independent. The researchers conducted an independent t-test on the difference of means of the results for each of the two groups. This...

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