1 Way Independent anova Flashcards
Independent t test, 1 IV with 2 conditions
Test whether there is a difference between the levels (conditions) of the factor (IV)
Takes measure of effect, compares to measure of unsystematic variance
Takes mean values and add them together to get grand mean
Between group differences= summed square difference between group means and grand mean multiplied by n and divided by df
Between group differences include
The effect
- differences due to treatment
The error
- individual differences
- error (due to sampling)
Within group variance= systematic variance
The error
- individual differences
- error (due to sampling)
Compare group means to ppt means
Squared difference between each score and the group mean, summed and divided by n-1
F ratio
Within groups variance -> estimate of how much error we have in our effect
Between groups variance (effect + error) / within groups variance (error)
Dividing the effect (between groups) by the error (within groups) = value that represents our effect = F ratio
Indication of size of our effect taking the error in the measurement into account
If F is greater than 1 you have more effect than error
If F is smaller than 1 you have more error than effect
Partial ETA squared
To work our size of our effect we need to calculate partial eta squared
np2= between groups variance / total variance (within + between groups variance)
Tells us what proportion of our total variance is due to treatment effect
Value converted into proportion eg 0.45= 45%
Rounding
All values rounded to 2 decimal places except p value which is reported to 3
P value
A significant value
Low probability that differences would be seen in the sample, if no effect in population
Assumptions of a 1 way independent anova
Continuous dependent variable (DV)
Normal distribution
No outliers- box and whiskers plot
Equal variance- no differences between the error (within groups) variance in each group
Reporting stats
F (effect df, error df) = [F value], p = [p value], np2 = [np2 value]
Reporting not significant results
No differences between levels (groups) and no effect of the treatment
‘ a one way between ppts anova shower that there was no significant effects of …. on …. (report data)
Reporting significant results
Differences between levels (groups) and effect of your treatment
‘A one way between ppts anova shower that there was a significant effect of ….. on the ….. (report data)’
If anova significant need to find out what groups differ