2. Listed below is the output from an ANOVA of data from a 4X3 (4 levels of Factor A, 3 levels of Factor B) design(n = 4 per cell). Fill in the missing info for degrees of freedom, mean square, and F columns. Interpret results.Type II Sum ofSourceSquaresMean SquareFobsSig? Y/NdfEssi.a20.917b33.792a*b13.208Error104.00036

Name: 2. Listed below is the output from an ANOVA of data from a 4X3 (4 lev
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Description: 2. Listed below is the output from an ANOVA of data from a 4X3 (4 levels of Factor A, 3 levels of Factor B) design(n = 4 per cell). Fill in the missing info for degrees of freedom, mean square, and F columns. Interpret results.Type II Sum ofSourceSq

The given is that, 4 levels of factor A and 3 levels of factor B and 4 observation per cell. So, the degrees of freedom of source A is b-1 =4-1= 3 degrees of freedom of B is k-1=3-1= 2 and degrees of freedom of a*b is (b-1)*(k-1)= 3*2=6 And degrees of sampling error is bk(n-1)= 36 The mean square of the source is, Mean square of a=Sum of square of aD.F.(a) =20.9173=6.9723mean square of b =Sum of square of bD.F.(b) =33.7922=16.896Mean square of ab=sum of square of abD.F.(ab) =13.2086=2.20133Mean square of error =sum of square of errorD.F.(error) =10430=2.889 F calculated is, Fa=Mean square of aMean square of error=6.9232.889=2.396Fb=Mean square of bMean square of error=16.8962.889=5.848Fa*b=Mean square of abMean square of error=2.2012.889=0.7619F critical values are the table values,Fcritical (a)~F(3,36,α=0.05)=2.866 ......Using statistical TableFcritical (b)~F(2,36, α=0.05)=3.259Fcritical(a*b)~F(6,36,α=0.05)=2.364 Decision:- If Fcal > Fcritical then rejects the null hypothesis at α% of the level of significance otherwise accept it. So, 1) Fcal of a= 2.396 < Fcritical=2.866 .So do not reject null hypothesis at 5% of level of significane. 2) Fcal of b =5.848 > Fcritical= 3.259 . So, reject null hypothesis at 5% of level of significane. 3) Fcal of a*b= 0.7619 < Fcritical =2.364. So, do not reject null hypothesis at 5% of level of significance.Source of variation DF Sumof square Mean sum of square Fcal Fcritical Yes/No a 3 20.917 6.9723 2.396 2.866 No b 2 33.792 16.896 5.848 3.259 Yes a*b 6 13.208 2.201 0.7619 2.364 No Error 36 104 2.889

Answered: 2. Listed below is the output from an…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

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ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

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2. Listed below is the output from an ANOVA of data from a 4X3 (4 levels of Factor A, 3 levels of Factor B) design
(n = 4 per cell). Fill in the missing info for degrees of freedom, mean square, and F columns. Interpret results.
Type II Sum of
Source
Squares
Mean Square
Fobs
Sig? Y/N
df
Essi.
a
20.917
b
33.792
a*b
13.208
Error
104.000
36

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