Overview
Question 1.(20 points)
A researcher has four prototypes for a small Unmanned Aerial System controller, and wants to know which one that users prefer. The researcher asks 117 participants to use each controller and annotate which one they liked best. At the conclusion of the study, the researcher hopes to have a clearly identified prototype that is best preferred among the four. The table below represents the number of times each prototype was chosen by the participants.
Prototype A | Prototype B | Prototype C | Prototype D |
18 | 51 | 27 | 21 |
Use the five-step hypothesis testing process and StatCrunch to determine if there is a preferred prototype.
Question 2 (20 points)
A researcher has found that pilots taking an over the counter antihistamine have poor reaction times. They performed an experiment on 44 pilots: 24 took the medication and 20 did not. Their reaction times to a command by Air Traffic Control was considered to be adequate or inadequate. Among those taking the medication, 13 were rated inadequate and 11 adequate.
Among those not-taking the medication, 9 were rated adequate and only 11 inadequate. Construct a contingency table. Run the Chi-Square test for independence using the calculator in the module. Note that StatCrunch does NOT support this type of Chi-Square.
State your findings and their significance. Do not forget to give summary statistics in APA format.
Taking Med | Not taking med | |
Reaction Adequate | 11 | 9 |
Reaction Inadequate | 13 | 11 |
What is the problem with this research study? Is the Chi-Square test appropriate? Why or why not? What could the researcher do to potentially rectify the problem?
Question 3 (20 points)
Name three cases when you should use non-parametric analysis in place of parametric?
Question 4 (20 points)
What are some disadvantages of using non-parametric analysis (versus parametric)?
Question 5 (20 points)
Match the non-parametric version of analysis with its parametric equivalent.
- Mann-Whitney U 1. One-Way ANOVA
- Kruskal-Wallis 2. Paired sample t-test
- Wilcoxon Signed Rank 3. Independent sample t-test
- Friedman 4. Pearson correlation
- Spearman’s Rank 5. Repeated measure ANOVA