How to calculate df for all ANOVA
Formulas for df in ANOVA. How to calculate
What is df? df stands for degrees of freedom. The simplest way to grasp this concept is to think of a game in which a list of numbers is hidden except for the n (how many) and the mean. You are asked to draw one number and asked to guess the number. Of course, you cannot guess it. When you draw the last number, you are asked to guess it, and of course you can guess it. At this point, thee are no more degrees of freedom What you should remember is:
Every time you calculate a mean, you lose 1 degree of freedom. The formula for degrees of freedom, df df= n-1
Here are the formulas for df in ANOVA. How to calculate df for all ANOVA designs
ONE-WAY ANOVA SUMMARY TABLE
Source | SS | df | MS | F | p |
---|---|---|---|---|---|
Berween | number of independent groups minus 1 | ||||
Within | total number of scores minus number of independent groups | ||||
Total | total number of scores minus 1 |
2x2 FACTORIAL ANOVA SUMMARY TABLE
Source | SS | df | MS | F | p |
---|---|---|---|---|---|
Berween A | number of independent groups of factor A minus 1 | ||||
Between B | number of independent groups of factor B minus 1 | ||||
AxB (interaction) | df A x df B | ||||
Within | total number of scores minus number of groups | ||||
Total | total number of scores minus 1 |
ANOVA MIXED SPIT PLOT SUMMARY TABLE
SOURCE | SS | df | MS | F | p |
---|---|---|---|---|---|
Between Independent | |||||
B | number of independent groups minus 1 | ||||
Error | total number of subjects minus the number of independent groups | ||||
Total | total number of subjects minus 1 | ||||
Between repeated measures | |||||
A | number of repetitions minus 1 | ||||
AxB | df A x df B | ||||
Error | error between independent x number of repetitions | ||||
Total | |||||
TOTAL | total number of scores minus 1 |
REPEATED MEASURES ANOVA SUMMARY TABLE
SOURCE | SS | df | MS | F | p |
---|---|---|---|---|---|
Between Treatments | number of treatments minus 1 | ||||
Between Rows | number of subjects minus 1 | ||||
Error | df between x df rows | ||||
Total | total number of scores minus 1 |
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