Multiple choice. Please answer both questions below. 1.) The overall F-test obtained from performing a multi-way ANOVA comparing average cycling speed for 30 minutes of exercise across age groups (adolescents, adults, and the elderly) and geographic locations (rural and city subsamples) resulted in a p-value that was statistically significant for city versus rural but not for age. Which of the following is true? a. The variability between the rural/city area groups is larger than variability within each area, however, the variability between age groups is the same. b. The variability within the rural/city area groups is very large compared to between-group variability and the opposite for age. c. The ratio of the between and within variability was not sufficiently large for rural/city area. d. The F-statistic was larger than the critical value obtained from the F-distribution for age. 2.) Which of the following best describes the term (multi)collinearity in a regression setting? a. It is the assumption of linearity needed in regression under the general linear model. b. It is the implication when the dependent variable and the independent variable are related each other. c. If correlation between two or more predictors is near +1 or -1. d. It is a very conservative test to control for type I error rates for multiple comparisons.
Multiple choice. Please answer both questions below.
1.) The overall F-test obtained from performing a multi-way ANOVA comparing average cycling speed for 30 minutes of exercise across age groups (adolescents, adults, and the elderly) and geographic locations (rural and city subsamples) resulted in a p-value that was statistically significant for city versus rural but not for age. Which of the following is true?
a. The variability between the rural/city area groups is larger than variability within each area, however, the variability between age groups is the same.
b. The variability within the rural/city area groups is very large compared to between-group variability and the opposite for age.
c. The ratio of the between and within variability was not sufficiently large for rural/city area.
d. The F-statistic was larger than the critical value obtained from the F-distribution for age.
2.) Which of the following best describes the term (multi)collinearity in a regression setting?
a. It is the assumption of linearity needed in regression under the general linear model.
b. It is the implication when the dependent variable and the independent variable are related each other.
c. If
d. It is a very conservative test to control for type I error rates for multiple comparisons.
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