The one-way ANOVA partitions the total variability into into a. Sswithin and MSbetween b.Sstotal and Ssbetween c. Sswithin and ssbetween d. Sswithin and sstotal

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section: Chapter Questions
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The one-way ANOVA partitions the total variability into into

a. Sswithin and MSbetween 

b.Sstotal and Ssbetween 

c. Sswithin and ssbetween 

d. Sswithin and sstotal

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Step 1

Solution:

The linear mathematical model for one way ANOVA is

yij=μ+αi+εij  i=1:k, j=1:nWhere yij = j th  observation to i th treatment μ=General mean effect or overall mean αi= effect of ith level of factor Aεij= random error corresponding to j th replication of i th treament.

 

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