Inferential Statistics Flashcards
Additivity
Assumption that If you have several predictor variables, their combined effect is best described by adding their effects together
Linearity
Assumption that the outcome variable is linearly related to any predictors (i.e., their relationship can be summed up by straight line)
When does Linearity matter?
When the predictor variable is continuous
What can you do when data indicates a non-linear relationship?
Or you can use a non-parametric test to analyze your data
Normality
Assumption that the sampling distribution of the parameter you are trying to estimate (not your data itself) is normally distributed
Central Limit Theorem
As the sample size increases, the sampling distribution of those parameters becomes increasingly normal
Homogeneity
Homogeneity means that as you go through the levels of the predictor variable, the variance of the outcome variable should not change
How can you spot violations of homogeneity?
Using numbers: Levene‘s test. A significant Levene‘s test indicates that homogeneity assumption is violated
How can you avoid that a homogeneity violation biases your results?
Use the Welch t-test instead of the student t-test. The Welch test corrects for any violation of homogeneity
Independence
Assumption that the errors in your model are not related to each other (e.g., measurement error of Participant 1 should be unrelated to measurement error of Participant 2)
Sphericity
Assumption only applies to within-subject designs with 3 or more conditions
Sphericity assumption means that the variances of the differences between conditions should be equal
How can you spot violations of sphericity?
Using Mauchly‘s test (included in SPSS repeated measure procedure). A significant Mauchly‘s test indicates that sphericity assumption is violated
How can you avoid that sphericity violations bias your results?
Greenhouse-Geisser (more conservative)
Huynh-Feldt (less conservative)
When to use and independent samples t-test
between subjects design
When to use paired samples t-test
within subjects design