Related Sample T tests
This homework covers chapter 11 Related Sample T tests. Each question is worth 1 point unless noted.
Feel free to add in as much space as necessary to respond to problems. Show your work. There are a total of 40 points in this hw. It includes an SPSS portion. THERE WILL BE SPSS OUTPUT ON THE EXAM. DO NOT
SKIP DOING THE SPSS PORTION HERE.
Chapter 11 26 points this section
1. For each study design below, choose whether it is a one sample T, an independent T, or a repeated measures T. (1 point each)
a. One classroom of students gets a reading program module and another class room of students
does not. Their scores are measured and compared.
b. A classroom of students gets one math training module and then takes a math test. Then the same students get a different training module, and retake the same math test, and the scores are
compared.
c. A classroom of students takes the MCAS and their test scores are compared to existing national MCAS scores
d. What exactly is M D ?
2. What is the null hypothesis for the related measures T test?
3. The following data were obtained from a repeated-measures research study. What is the value of M D for these data?
Subject 1 st 2 nd
1 7 8
2 4 6
3 5 7
4 9 12
4. Describe the steps for calculating the above M D
5. What is the alternate hypothesis, generally, for the related samples T test?
6. In a repeated measures design, what raw scores do you use to get the standard error? (if you are unsure, review the slides that review the standard error in the related samples T test).
7. A repeated measures study using a sample of n = 64 participants would produce a t statistic
with df = ____
8. A researcher uses a repeated-measures study to compare two treatment conditions with a set of 30 scores in each treatment. What would be the value of df for the repeated-measures t statistic? Think about this carefully. (hint: be sure you understand what is n in a repeated measures study, and how you get the df?)
9. A repeated-measures study and an independent-measures study both produced a t statistic with df = 35.
a. How many individuals participated in each study? (hint: ITS NOT THE SAME NUMBER FOR
BOTH!)
b. Explain your answer.
10. A sample of difference scores has a mean of M D = 16 with a variance of s² = 64. If effect size is measured using Cohen’s d, what is the value of d? (hint: Use the formula for Cohen’s D, and remember that the standard deviation is the square root of the variance!)
11. A researcher obtains t (20) = 5.00 for a repeated-measures study. What is r 2 ?
12. A researcher conducts a repeated-measures study to evaluate a treatment with a sample of n = 16 participants and obtains a t statistic of t = 2.09 and a sig (or p) value for that specific T value of .01. The treatment is expected to increase scores and the sample mean does shows an increase. Do we accept or reject the null for a one tailed test using α = .05?
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