exam 3

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University of Nebraska, Lincoln *

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350

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Statistics

Date

Jan 9, 2024

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docx

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2

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Our hypothesis was that teaching students about the importance of undergraduate research participation would increase their intention to engage in such participation. To test this hypothesis, we gave different sections of a introductory course either one of two different "pitches" about why it is important to engage in research while an undergraduate -- "improve your grades" (imp_grades)) or "improve your chances to get into graduate school"(grad_schl) or a "control" (a lecture about the importance of not cramming for tests). Then each participant completed a questionnaire that included a 1-10 rating of their intention to participate in undergraduate research. We randomly assigned which section of the course (there were three) was in which condition, and gave the questionnaire right after the pitch, to provide as much control as possible. Here are the results of our analysis: Descriptives Impr_grades: N=64; mean=3.8623; std deviation= 1.99243 Grad_schl: N=34; mean=5.3954; std deviation= 2.12958 Control: N=59; mean= 2.1282; std deviation= 2.01151 Total: N=157; mean= 3.5426; std deviation= 2.36931 ANOVA Between groups: sum of squares= 241.289; df=2; mean square= 120.645; f= 29.285; sig= .000 Within groups: sum of squares= 634.233; df= 154; mean square= 4.120 Total: sum of squares= 875.723; df= 156 1. To find the LSDmmd N = ___ , the number of conditions is ____ and n = ___ (rounded to 2 decimals). The dferror is ___ and the MSerror is ___ ( rounded to 2 decimals) 2. Using the values from your answers to the question right before this, the LSDmmd is found to be [answer] (rounded to 2 decimals) 3. Based on the LSDmmd you just computed, does the pattern of these results support our RH: that the "improve your chances to get into graduate school" condition would work the best, but that the "improve your grades" condition wouldn't have an average intention that was higher than the control? a. No, only two of the pairwise comparisons match the RH: b. No, only one of the pairwise comparisons matches the RH: c. Yes, these are the hypothesized results d. No, none of the pairwise comparisons match the RH: 4. The effect size for the pairwise comparison of the "improve your grades" vs. "improve your chances to get into graduate school" conditions is ___________ (use 2 decimals to calculate and report the effect size - always report the effect size as positive). 5. The effect size for the pairwise comparison "improve your grades" vs. the control is _________. (use 2 decimals to calculate and report the effect size - always report the effect size as positive). 6. The effect size for the pairwise comparison of "improve your chances to get into graduate school" and the control is _________ . (use 2 decimals to calculate and report the effect size - always report the effect size as positive) 7. Should I be concerned about the statistical power of the pairwise comparison of the "improve your chances to get into graduate school" and "improve your grades"
conditions? a. Yes, this combination of p-value and effect size indicates there is not sufficient power b. No, this combination of p-value and effect size indicates that power probably isn't the reason for the nonsignificant effect. c. No, an effect size of this size indicates there is sufficient power. d. Can't tell from the available information e. Yes, a significant effect indicates there is not sufficient power. f. Yes, an effect size of this size indicates there is not sufficient power. g. No, a significant effect indicates there is sufficient power. 8. We are planning a replication of this study. Estimate the appropriate sample size for that study, so that there will be only a 10% chance of a Type II error for the pairwise comparison of the "improve your chances to get into graduate school" and "improve your grades" conditions. The number of participants in that pairwise comparison should be (S) =[answer] . 9. We are planning a replication of this study. Estimate the appropriate sample size for that study, so that there will be only a 10% chance of a Type II error for the pairwise comparison of the "improve your chances to get into graduate school" and "improve your grades" conditions. The number of participants in each condition of the study should be (n) = [answer2] 10. We are planning a replication of this study. Estimate the appropriate sample size for that study, so that there will be only a 10% chance of a Type II error for the pairwise comparison of the "improve your chances to get into graduate school" and "improve your grades" conditions. The total number of participants in the study should be (N) = [answer].
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