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Lecture

Analysis of Variance (3).docx

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Department
Statistics
Course
STATS 2B03
Professor
Aaron Childs
Semester
Fall

Description
October 30 , 2012 Stats 2B03: Statistical Methods for Science Analysis of Variance (3) - in general, we are first going to test H 0 μ =1μ = 2 = μ , Hk: μAμ fir jt least one pair (i, j) - procedure:  calculate:  reject H0if Fk-1,N-kF k-1,N-k,1-α - in our example: , , reject H0because 4.4>3.03 - calculations for the above F statistic summarized in an ANOVA table Source of Sum of Degrees of Mean square F variation squares freedom Treatments SSTr k – 1 SSTr/k – 1 MSTr/MSE Error SSE N – k SSE/N – k Total SST N – 1 - our example: SV SS DF MS F Treatments 11.673 3
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