In: Statistics and Probability
Transcranial magnetic stimulation (TMS) is a non-invasive neurostimulation procedure, involving a changing magnetic field that causes electric current to flow in a target brain region. TMS has shown potential benefits to learning and memory.
For Questions 32-37, you will conduct a repeated measures t-test to determine whether students memorized more vocabulary words while undergoing TMS stimulation (experimental condition) versus “sham” TMS (placebo condition), using a 2-tailed test with α = 0.05. MAINTAIN AT LEAST TWO DECIMAL PLACES . Also report the 95% CI for the mean difference. Report your final results in a complete sentence, following the standard conventions.
Participant | TMS | Sham | Difference? |
A | 12 | 7 | |
B | 5 | 6 | |
C | 9 | 4 | |
D | 9 | 5 | |
E | 10 | 3 |
32. What is the mean difference score, MD (Hint: fill in the difference column using TMS - minus - Sham)
33: What is the sample variance, s2, for the difference scores?
34. What is the estimated standard error for the difference scores, sMD?
35: What is the t-statistic for the sample mean difference?
36: What is the 95% Confidence Interval around the mean difference?
37. Report the results of the t-test and the 95% confidence interval in a proper sentence. You may chose your own alpha-criterion and whether to do one- or two-tailed, but be sure to include that information in your sentence.