w3 Flashcards
ANOVA (Analysis of Variance):
Used to test for differences in means between two or more groups. It’s best when you have categorical independent variables and want to test their effect on a continuous dependent variable.
Regression Analysis:
Can also test group differences, but it is more flexible than ANOVA. While ANOVA compares means between groups, regression can model continuous predictors or multiple categorical predictors simultaneously. It can include interaction terms and covariates, similar to how ANOVA tests for main effects and interactions.
ANCOVA (Analysis of Covariance)
used when you want to compare group means while controlling for the effect of a covariate (a continuous variable that might influence the dependent variable).
If you’re comparing the effect of two teaching methods on test scores, but you also believe that prior knowledge influences test scores what do you use
ANCOVA
Mixed ANOVA:
Used when you have both within-subjects and between-subjects factors in your design. For example, you might want to measure the effect of a treatment over time (within-subjects) and compare different treatment groups (between-subjects).
what are the reasons to perform ancova
1 elimination of confounds, correcting for initial diffferences between groups
- more explained varience
2 to reduce within group varience, groups dont differ in the cov but cov is positively related to the IV
- less unexplained varience
the more the explained varience the higer or lower f value
higer
Can we use ANCOVA when when comparing how do low anxiety vs high anxiety participants react to CBT when controling for SES
no because the groups come from different populations
what kind of IV and DV are required for an ANOVA (one-way)
DV - continous
IV - nominal 2 or more categories
what kind of IV and DV are required for a T test
Dep. var.: continuous
* Indep. var.: nominal (max. 2 categories)
if we want to compare changes over time between groups
mixed ANOVA
mixed ANOVA assumptions
- Dependent variable continuous
- (Co)variances in all groups equal
- Data of subjects are independent
- Dependent variable is normally distributed in each group
- Sphericity (more than 2 repeated measurements)
what if runners by chance have a higher SES at pretest than sitters
and we believe that SES is positively related to wellbeing
ANCOVA