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



SOURCESS dfMS Fp
Between Independent
Bnumber of independent groups minus 1
Errortotal number of subjects minus the number of independent groups
Totaltotal number of subjects minus 1
Between repeated measures
Anumber of repetitions minus 1
AxBdf A x df B
Errorerror between independent x number of repetitions
Total
TOTALtotal 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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