Stats Test Flashcards
Sharon's Flashcards (201 cards)
What is an ANOVA
Analysis of Variance
When to use and ANOVA
When we are testing experiements that have 3 or more levels of independent variables (e.g., comparing a control vs caffeine in the morning vs caffeine at night)
Why don’t we use multiple t-tests
Type 1 error will increase
What does ANOVA produce
F-ratio
What is an F-ratio
Compares systematic variance to unsystematic variance
What can / can’t an ANOVA tell us?
It can tell use there was an effect but it cannot tell us what the effect was
How do we find out what the effect was when doing ANOVA
Planned comparisons or post-hoc tests
What is the bonferroni correction
A wat to control type 1 error by dividing the alpha (0.05) by the number of tests
This then sets the new p-value for a test to be significant
What is planned comparisons
A set of comparisons between group means that are constructure before any data is collected
this is theory led
and there is more power to these than post hoc tests
What assumptions need to be met when doing ANOVA
- Normal distribution
- Homogentiy of variances
- Sphericity
Tests of homogeneity of variances for independent ANOVA’s
Levene’s test
significant Levene’s = assumption of homogeneity of variance has been violated
Test of Sphericity for dependent ANOVAs
Mauchly’s test
Significant Mauchly’s = assumption of sphericity has been violated
Define homogeneity of variance
Assumption that the variance of one variable is similar at all levels of another variable
Define Sphericity
The difference taken from the same participatn / entity are similar
What is a one-way ANOVA
One independent variable will be manipulated
What is one-way independent ANOVA
Experiments with 3+ levels of the independent variable and different participants in each group
How to run a one-way ANOVA on SPSS
- Check Levene’s test - if significant then assumption of homogeneity of variances has been violated
- Between-group effects = SSm (variation due to the model aka experimental effect). To find the total experiment effect look at between-group sum of squares
- Within-group effects = SSr (unsystematic variation)
- To be able to compare between groups and within groups we look at the mean squares.
- Look at the F-ratio, if significant do post-hoc tests
What post-hoc tests do you run after a significant ANOVA (you want to control for type 1 error)
Bonferroni correction
What post-hoc tests to run after a significant ANOVA (you have very different sample sizes)?
Hochberg’s GT2
What post-hoc tests to run after a significant ANOVA (you have slightly different sample sizes)
Gabriel’s procedure
What post-hoc tests to run after a significant ANOVA (you have doubts about variance)
Games-Howell procedure (this one is a safe bet)
What is effect size
the magnitude of an effect
r
How to calculate effect size
R squared = SSm / SSt
Square root this to get effect size (r)
What is SSt
Total sum of squares
total amount of variation within our data