Week 4 & 5 Flashcards
What is an ANOVA?
Statistical method to decide whether an observed difference in sample scores represents a “real” difference in the population…. vs. just sampling error, but with 3 or more groups/levels of 1 IV and or 2 or more IVs
What is the question asked in an ANOVA?
Are observed differences in whole set of means greater than would be expected by chance alone?
What statistic is looked at for ANOVA?
An f- statistic
What is an F-statistic?
The between group variability divided by the within group variability
What is the null hypothesis in the ANOVA?
All of the population means are even
What is the alternative hypothesis in the ANOVA?
At least one pair of samples is significantly different, but we don’t know which one
What are the basic assumptions for ANOVA?
- Samples are randomly drawn from populations
- Population is normally distributed
- Homogeneity of variance (roughly)
- Data from ratio or interval (i.e. continuous) scales
What does one need to be careful with when randomly drawing samples from the population?
Generalization
How can the normal distribution of a population be tested?
- Statistically
- Graphically
- Common sense
When is the homogeneity of variance especially important?
When there is an unequal group size
How is the homogeneity of variance usually tested?
Statistically
The types of ANOVA concern what…?
- Whether they are one way (1 IV) or multiple ways
- Whether the IV are between subjects(independent groups) or within subjects (repeated measure) or a mixed model
What is a mixed model?
Where there is 1 IV that is between subject and 1 IV that is within subjects
What are the types of ANOVA?
- One way ANOVA: independent samples
- Two way ANOVA: independent samples
- One way ANOVA: Repeated measures samples
- Two way ANOVA: Repeated measures samples
What is the characteristic of a one way ANOVA: independent variable?
1 IV with 3 or more levels
What does the result of an ANOVA show?
Whether or not there is a difference overall, but not where the difference is
What is the characteristic of a two way ANOVA: independent variable?
2 or more IV
What are the things you’re interested in when performing a two way ANOVA: independent variable?
- Main effect of IV A
- Main effect of IV B
- Main effect of IV A & B (interaction effect)
What is the interaction effect?
Saying that the scores across one of the IV depends on the levels of the other IV
It is really helpful to look at ____ when talking about interaction effects
It is really helpful to look at graphs when talking about interaction effects
What does it mean when the lines of an interaction effect graph are parallel?
There is no interaction
What does it mean when the lines of an interaction effect graph are not parallel?
There is an interaction
What is a disordinal interaction?
When the lines cross and significant main effects cannot be interpreted