How do I find the Degrees of freedom, df between groups and df within groups bas

Question

How do I find the Degrees of freedom, df between groups and df within groups based on the information I already have solved for?

Group 1 x mean (x-mean Group 2 x-mean (x-mean) Grop 3 x-mean (x-mean) 10 10 10 13 14 13 15 65 13 16 25 25 75 0 13 35 10 40 Sum: 18 14 Mean: Sum of Squares Within 107 Observation x-mean (x-mean) Total Sum of Squares Sum of Squares Within Sum of Squares Between 221.333 107 114.333 10 0.66667 0.444444 6.3333 40.1111 -2.3333 7.3333 53.7777 3.66667 13.4445 0.66667 0.44444 1.3333 -2.3333 -4.3333 18.7777 0.66667 0.44444 0.66667 0.44444 3.66667 13.4445 4.66667 21.7778 3.66667 13.4445 5.66667 32.1111 5.4444 13 10 Degrees of Freedom (total) df between groups (k-1) df within groups (total-between) 1.7778 5.4444 #DIV/0! #DIV/0! 10 10 13 14 13 15 Mean Square Between (SSB/df between) Mean Square Within (SSW/df within) F = MSB/MSW Conclusion: SST: Sum: Mean 140 9.33333333 221.333

Explanation / Answer

n = total number of observations = 15

k = number of groups = 3

Degrees of freedom Total: n-1 = 15-1 = 14

Degrees of freedom between groups :k-1 = 3 -1 = 2

Degrees of freedom within group : n-k = 15-3 = 12

ANOVA Table Source df Sum of square mean Square F-ratio F-critical P-value Factor (Between) 2 114.333 57.1665 6.411196 3.885294 0.012765 Error (Within) 12 107 8.916666667 Total 14 221.333

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.