F-Test and ANOVA Flashcards
comparison of 2 variances or standard deviations
F-Test
Characteristic of the F-Distribution (4)
- values of f cannot be negative
- distribution is positively skewed
- mean value of f is approximately 1
- f distribution is a family of curves
if two tailed…
alpha/2
Assumptions for testing the difference between 2 variances (3)
- Random Sample
- Population must be normally distributed
- Samples must be independent to one another
Technique that uses an f-test to test a hypothesis concerning the means of 3 or more populations
Analysis of Variance
Assumptions for comparing 3 or more means (3)
- Populations which samples were obtained must be normally distributed
- Samples must be independent to each other
- Variances of populations must be equal
Analysis of Variance that is used to compare 3 or more means that contains only one variable
One way analysis of variance
Involves finding the variance of the means
Between-Group Variance
Made by computing the variance using all the data and is not affected by the differences in the means
Within-Group Variance
Alternative Hypothesis in ANOVA
At least one mean is different from the others