Degrees of freedom for the numerator and denominator


The following Analysis of Variance table includes information from three treatments (samples) each with six observations. Suggestion: Fill in the missing values in the table to help the given questions:

Source                   Sum of squares       df          Mean square

Treatments                  1116

Errors                           1068

Total                             2184

Q1. What are the degrees of freedom for the numerator and denominator?

a. 3 and 18
b. 2 and 17
c. 3 and 15
d. 2 and 15

Q2. What is the critical value of F at the 5% level of significance?

a. 3.29
b. 3.68
c. 3.59
d. 3.20

Q3. What is the computed value of F? Show work!

a. 7.48
b. 7.84
c. 8.84
d. 8.48

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Basic Statistics: Degrees of freedom for the numerator and denominator
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