Difference between revisions of "TU Wien:Statistik und Wahrscheinlichkeitstheorie UE (Bura)/Übungen 2019W/9.1"

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Latest revision as of 21:24, 4 December 2019

ANOVA by hand

Let three quadrupel of data be given as x = (2, 3, 3, 4)^t, y = (3, 4, 4, 5)^t and z = (4, 5, 5, 6)^t. For a significance level of α = 1%, test the null hypothesis that all data derive from the same distribution using an ANOVA (by hand) as follows

(a) Give the degrees of freedom
(b) Calculate the f-Statistic
(c) Give the rejection region using the following table which shows the 99%-Quantile of the \mathcal F(df_1, df_2)-distribution
df_1
2 3 4
9 8.02 6.99 6.42
df_2 10 7.56 6.55 5.99
11 7.21 6.22 5.67
(d) Formulate the outcome of the test
(e) If you were very strict with the assumptions of the ANOVA, would you be allowed to apply it at first?

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