Week 8: Tests of Differences Non-parametric alternatives Flashcards
proper SHT for testing the mean difference between the two independent groups?
Student’s t-test
applied when the mean differences were compared by multiple factors over time?
Mixed ANOVA
an extension of a Student’s t-test for multiple groups?
ANOVA
proper SHT for testing the mean differences between the two related groups?
Paired t-test
an extension of a paired t-test for multiple points in time?
Repeated measures ANOVA
applied when the mean differences were compared by multiple factors?
Factorial ANOVA
applied when the mean differences were compared controlling for a confounding variable?
Analysis of covariance (ANCOVA)
Parametric data -
Data is called parametric if normally distributed with equal variances
Assumptions for data to be parametric: (3)
- Data level of measurement to be continuous
- Normally distributed
- Equal variances across groups to compare
What tests are the most powerful on parametric data?
Parametric tests (student’s t-test, ANOVA)
Name four non-parametric tests used when data is non-parametric:
- Mann-whitney U test
- Wilcoxon signed-rank test
- Kruskal-wallis H test
- Friedman test
Non-parametric tests work on what principle?
the principle of ranking the data from smallest to largest (1 assigned to smallest score and n to the highest score)
Mann-whitney U test used in place of what for non-parametric data?
- Student’s t-test
- test the mean difference between the two independent groups
Wilcoxon signed-rank test used in place of what for non-parametric data?
- paired t-test
- test the mean difference between the two matched groups
Kruskal-wallis H test used in place of what for non-parametric data?
- ANOVA
- test the mean difference between the three or more independent groups