Lab13 (Answers)

Lab13 (Answers) - 1 : at least one ki 0 (3) H : ( ) 11 =( )...

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Answers (Lab 13): 1. Linear model of the split plot design with repeated measures: Y ijk = μ + ρ i + α j + ( ρα ) ij + γ k + ( αγ ) jk + ( ργ ) ik + ( ραγ ) ijk ( i =1,2,…,5; j =1,2,…,4; k =1,2,…,4) Y ijk : yield of Cultivar j in cut time k of replication i; ρ i : (random)effect of replication i; α j : (fixed) effect of Cultivar j; ( ρα ) ij : (random) interaction between Cultivar j and Replication i, Error term for α j (Factor A) ; γ k : (fixed) effect of Cut_Time k; ( ργ ) ik : (random) interaction of Cut_Time k by Replication i; ( ραγ ) ijk : (random) interaction of Cultivar j by Cut_Time k by Replication i; ( ργ ) ik and ( ραγ ) ijk are pooled to produce the error term for γ k (Factor B). Hypotheses tested: (1) H 0 : α 1 = α 2 = α 3 = α 4 H 1 : at least one α i 0 (2) H 0 : γ 1 = γ 2 = γ 3 = γ 4 H
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Unformatted text preview: 1 : at least one ki 0 (3) H : ( ) 11 =( ) 12 =( ) 13 =( ) 14 =.=( ) 44 =0, H 1 : at least one ( ) jk 0 2. ANOVA source table: ----------------------------------------------------------------------------------------------------------- Source of Variation df ------------------------------------------------------------------------------------------------------------ Replication 5-1=4 CultiVar 4-1=3 Rep*Cultivar (Error A) (5-1)(4-1)=12 Cut_Time 4-1=3 Cultivar*Cut_Time (4-1)(4-1)=9 Rep*CUltiVar +Rep*Cultivar*Time (Pooled, Error B) (5-1)(4-1) + (5-1)(4-1)(4-1)=48 Total 5*4*4-1=79 3. Refer to OUTPUT: type3 test of fixed effects....
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