![]() ![]() In reality, we are going to let Minitab calculate the F* statistic and the P-value for us. ![]() The P-value is determined by comparing F* to an F distribution with 1 numerator degree of freedom and n-2 denominator degrees of freedom. \(MSE=\dfrac\).Īs always, the P-value is obtained by answering the question: "What is the probability that we’d get an F* statistic as large as we did if the null hypothesis is true?" Question 7 6 pts Calculate the degrees of freedom for the following statistical tests: 1. alevels of factor A2, blevels of factor B2, Total observationn90. We already know the " mean square error ( MSE)" is defined as: Answer- 1) 2x2 factorial ANOVA- Here, two factors A (Gender) and B (Major) each at two levels. How can I calculate degrees of freedom for factorial ANOVA Ive done a factorial ANOVA with 3 factors (breakage, depth and species) looking at their effect on length. Let's tackle a few more columns of the analysis of variance table, namely the " mean square" column, labeled MS, and the F-statistic column labeled F. The sums of squares add up: SSTO = SSR + SSE.So, when getting df2, the formula will be as follows: df2 n k. And this is because the degrees of freedom will be two in this case. When it comes to 3-groups Anova, the calculation will be different from 2-group Anova. And the degrees of freedom add up: 1 + 47 = 48. In this case, the degrees of freedom for 2-group Anova 1. The degrees of freedom associated with SSE is n-2 = 49-2 = 47. The degrees of freedom associated with SSTO is n-1 = 49-1 = 48. The degrees of freedom associated with SSR will always be 1 for the simple linear regression model.Recall that there were 49 states in the data set. ![]()
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