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## $A ## Error: 1A:B+ OMSE ## Df Sum Sq Mean Sq F value Pr(>F) ## A 1 3.4225 3.4225 1369 0.0172 * ## Error 1 0.0025 0.0025 ## ## Signif. codes: 0 '' 0.001 '' 0.01 '' 0.05 '.' 0.11 ## ## $B ## Error: 1A:BOMSE ## Df Sum Sq Mean Sq F value Pr(>F) ## B 1 12.2500 12.2500 4900 0.009094 ## Error 1 0.0025 0.0025 ## ## Signif. codes: 0 '*' 0.001 '**' 0.01 '*' 0.05 '.' 0.1'' 1 ## ## Df Sum Sq Mean Sq F value Pr(>F) ## $ The Rest Terms` ## Block 3 0.3450 0.115000 ## A:B 1 0.0025 0.002500 ## RESIDUALS 90.7900 0.087778 ## ## $EMS ## Block A B A:B eps ## Block ## A ## B ## A:B Q 1 8 4 1 8 4 1 4 1 1.3101 0.3301 0.0285 0.8697 The model equation is as follows, means the effect of 'Block', means the effect of 'A factor', means the effect of 'B factor', and (B); means the effect of 'AB interaction'. Yijk = μ + Pi + aj + β + (αβ)jk + Eijk i=1,2,3,4, j=1,2, k= 1,2 Σρί = 0 i=1 α; Ν(0,02), βικα Ν(0,0), (αβ) κα Ν(0,σαβ), Eijk and N(0,02) aj, βκ, (αβ)jk, Eijk are mutually indepedent (a) Use and to express the expected mean squares for Block, Factor A, Factor B, AB interaction, and Error. (b) Find an estimate of σα, σε, σάβι σ.

Name: a error 1ab omse df sum sq mean sq f value prf a 1 34225 34225 1369 00172 error 1 00025 00025 signif codes 0 0001 001 005 011 b error 1abomse df sum sq mean sq f value prf b 1 122500 122500 67134
Uploaded: 2021-01-14T23:42:33-08:00
Duration: 15 min 5 s
Channel: Heather Duong
Description: a error 1ab omse df sum sq mean sq f value prf a 1 34225 34225 1369 00172 error 1 00025 00025 signif codes 0 0001 001 005 011 b error 1abomse df sum sq mean sq f value prf b 1 122500 122500 67134

          ## $A
## Error: 1*A:B+ O*MSE
##
Df Sum Sq Mean Sq F value Pr(>F)
## A
1 3.4225 3.4225 1369 0.0172 *
## Error 1 0.0025 0.0025
##
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.11
##
## $B
## Error: 1*A:BO*MSE
##
Df Sum Sq Mean Sq F value
Pr(>F)
## B
1 12.2500 12.2500
4900 0.009094 **
## Error 1 0.0025 0.0025
##
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1'' 1
##
##
Df Sum Sq Mean Sq F value Pr(>F)
## $ The Rest Terms`
## Block
3 0.3450 0.115000
## A:B
1 0.0025 0.002500
## RESIDUALS
90.7900 0.087778
##
## $EMS
##
Block A B A:B eps
## Block
## A
## B
## A:B
Q
1
8
4
1
8
4
1
4
1
1.3101 0.3301
0.0285 0.8697
The model equation is as follows, means the effect of 'Block', means the effect of 'A factor', means the effect of
'B factor', and (B); means the effect of 'AB interaction'.
Yijk = μ + Pi + aj + β + (αβ)jk + Eijk
i=1,2,3,4, j=1,2, k= 1,2
Σρί = 0
i=1
α; Ν(0,02), βικα Ν(0,0),
(αβ) κα Ν(0,σαβ), Eijk and N(0,02)
aj, βκ, (αβ)jk, Eijk are mutually indepedent
(a) Use and to express the expected mean squares for Block, Factor A, Factor B, AB
interaction, and Error.
(b) Find an estimate of σα, σε, σάβι σ.

a error 1ab omse df sum sq mean sq f value prf a 1 34225 34225 1369 00172 error 1 00025 00025 signif codes 0 0001 001 005 011 b error 1abomse df sum sq mean sq f value prf b 1 122500 122500 67134

Added by Mary M.

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