ANOVA Derivations Flashcards
If the null hypothesis is true then there is no _________.
Treatment effect.
How do you calculate variance? What is this known as?
Sum of squared deviations / Degrees of freedom.
This is known as mean squared error.
What are sums of squares? (SS)
Squared deviation values
What is the F-ratio?
Between group MSE / Within group MSE
The F-distribution depends on the ______.
2 degrees of freedom values.
We reject the null hypothesis when _________.
Our F-value is bigger than the critical F-value.
What is our F-value also referred to as?
The omnibus F
What are the 2 types of analytical comparisons?
- Planned (a-priori) comparisons
- Post-hoc (a-posteriori) comparisons
What is a planned (a-priori) comparison?
These are comparisons about which we had a direct prediction prior to performing the experiment. These are effects we expect to find a priori.
What is a post-hoc (a-posteriori) comparison?
If we had no reason to expect particular differences prior to performing the experiment, we can perform post hoc comparisons. These test effects about which we had no prior expectations.
What would we represent with the Greek letter psi?
Whether the data support an expected difference
What do we use a design matrix for?
To test specific contrasts.
Each element of a design matrix (C) is multiplied by one of the means.
What do we use to test whether a planned comparison is significant?
The F-ratio approach.
