PSYC3001- Research Methods 3 - SPSS to Calculate The Average Value - Statistics Assignment Help

Assignment Task

A Monte Carlo sampling experiment is carried out with 2000 replications for J = 5, n = 13, and parameter values of μ1 = μ2 = μ3 = 64, μ4 = μ5 = 49, and σ = 10. On each replication of the sampling experiment, .05-level t-tests and .05-level q* tests (Tukey tests) of H0: μj - μj’ (j ≠ j’) have been conducted for each comparison, along with 95% individual-t confidence intervals and 95% Tukey simultaneous confidence intervals.

Question 1
For part A of this question, consider only the comparisons with a true H0 (i.e., comparisons where there is zero difference between the two population means). Include all relevant SPSS output (i.e., tables) with your answer.

A. i. Use SPSS to calculate the average value (across all 2000 trials) for each sample comparison. Comment on these values.
ii. Use SPSS to select a subset of 200 out of the 2000 total trials. Use the last three digits of your student number and then add 199 to set the first and last cases. [Hint: go to Data – Select Cases
– Based on time or case range – Range – First Case = (last 3 digits of student number); Last Case
= (First Case + 199) – Continue – OK].
For this subset of replications, calculate the average value for each comparison. Comment on the difference between these values and the values obtained in part A-i.

B. Use SPSS to calculate the FWER and the FWNCER for the t-based method. Provide a general definition for each of these terms and comment these values in relation to alpha and each other.

C. Use SPSS to calculate the FWER and the FWNCER for the Tukey method. Comment on these values in relation to each other and the values obtained in part B.

Question 2
Refer to Generating Trial Numbers for PSYC3001 Assignment 1 posted in the Assignments section on Moodle. You will use the first of the two generated trial numbers for this question – make sure you state the trial number at the beginning of your answer to this question. Within the trial that you arrived at via the above, pick two comparisons where:
A. It must be possible for a Type I error to occur for one of these comparisons.
B. It must be possible for a Type II error to occur for the other comparison. For each of the above comparisons within your selected trial:
i. State the comparison you have chosen and the t-based confidence interval limits for this comparison.
ii. Do these confidence interval limits reflect the occurrence of a noncoverage error? Explain why or why not.
iii. Do these confidence interval limits reflect the occurrence of any other inferential error? Explain why or why not.
iv. State whether it is possible for there to be a confidence interval for the comparison you have picked where you would give the same answer for (ii) but a different answer for (iii). If it is possible, provide an example of such a confidence interval (you can make up the limits or find one from the provided dataset) along with a brief explanation. If it is not possible, explain why such a confidence interval cannot exist.
 

Question 3
Refer to Generating Trial Numbers for PSYC3001 Assignment 1. You will use the second of the two generated trial numbers for this question – make sure you state the trial number at the beginning of your answer to this question.
A. Provide a brief substantive context for the J = 5 experiment. That is, describe the experimental factor (IV) and the 5 levels (say what they are) as well as the dependent measure (DV).
B. Identify the maximal comparison in this trial and show the calculation for the limits of the Tukey 95% simultaneous confidence interval.
C. Provide a substantive conclusion for the confidence interval in part B.
D. From the same trial, select a comparison (other than the maximal comparison) for which the Tukey confidence interval contains 0. State the selected comparison and the limits of this confidence interval. Provide an appropriate conclusion for this confidence interval.
E. Suppose that the Tukey 95% simultaneous confidence interval for the maximal comparison of a given trial contains 0. What does this imply about the confidence intervals for the other comparisons in the same trial? Explain your answer.

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