Aresearcher compares differences in positivity between participants in a low-, middle-, or upper-middle-class family. if she observes 15 participants in each group, then what are the degrees of freedom for the one-way between-subjects anova? (2, 12) (3, 43) (2, 42) (3, 12)

(2, 12)

Step-by-step explanation:

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".  

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"  

If we assume that we have groups and on each group from we have individuals on each group we can define the following formulas of variation:  

And we have this property  

The degrees of freedom for the numerator on this case is given by where k =3 represent the number of groups.  

The degrees of freedom for the denominator on this case is given by .  

And the total degrees of freedom would be  

And the correct answer would be 2 degrees of freedom for the numerator and 12 for the denominator

(2, 12)

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step-by-step explanation:

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