# Difference between revisions of "TU Wien:Statistik und Wahrscheinlichkeitstheorie UE (Bura)/Übungen 2019W/9.5"

ANOVA by table

There where k groups compared with an ANOVA. Given the following incomplete output, and a plot of the associated $\mathcal F(k - 1, n - k)$-distribution, answer the questions below.

Analysis of Variance Table
Response: x
Df Sum Sq Mean Sq F value Pr(>F)
gr         6    72      ?     ?        ?
Residuals  ?   240      6


(a) What are the degrees of freedom?
(b) What are the numerator and and denominator of the f-statistic?
(c) What is the value of the f-statistic?
(d) Using the plot, on which significance level can we reject the null hypothesis?
(e) Using the plot, in which interval do we find the P-value?
(f) How many groups are compared?
(g) How many post-hoc pairwise t-tests are to be performed if all pairs were considered?

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Siehe auch Hilfe:Formeln und Hilfe:Beispielseiten.