{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

HW Solutions Stat 82

# HW Solutions Stat 82 - 3 ρ 4 X ij 4 ρ 5 X ij 5 ρ 6 X ij...

This preview shows page 1. Sign up to view the full content.

1 if experimental unit from block 1 X ij 1 = 1 if experimental unit from block 10 0 otherwise X ij 2 , ..., X ij 9 are defined similarly 1 if experimental unit received treatment 1 X ij 10 = 1 if experimental unit received treatment 3 0 otherwise 1 if experimental unit received treatment 2 X ij 11 = 1 if experimental unit received treatment 3 0 otherwise b. ˆ Y = 77 . 10000 + 4 . 90000 X 1 + 3 . 90000 X 2 + 2 . 23333 X 3 + 3 . 23333 X 4 + 1 . 23333 X 5 + . 90000 X 6 1 . 10000 X 7 3 . 76667 X 8 4 . 10000 X 9 6 . 50000 X 10 2 . 50000 X 11 c. Source SS df MS Regression 1 , 728 . 3667 1 157 . 1242 X 1 , X 2 , X 3 , X 4 , X 5 , X 6 , X 7 , X 8 , X 9 433 . 3667 9 48 . 1519 X 10 , X 11 | X 1 , X 2 , X 3 , X 4 , X 5 , X 6 , X 7 , X 8 , X 9 1 , 295 . 0000 2 647 . 5000 Error 112 . 3333 18 6 . 2407 Total 1 , 840 . 7000 29 d. H 0 : τ 1 = τ 2 = 0, H a : not both τ 1 and τ 2 equal zero. F = (1 , 295 . 0000 / 2 ÷ (112 . 3333 / 18) = 103 . 754, F ( . 95; 2 , 18) = 3 . 55. If F 3 . 55 conclude H 0 , otherwise H a . Conclude H a . 23.18. a. Y ij = µ .. + ρ i + τ j + ij Y ij = µ .. + ρ 1 X ij 1 + ρ 2 X ij 2 + ρ 3 X ij
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 3 + ρ 4 X ij 4 + ρ 5 X ij 5 + ρ 6 X ij 6 + ρ 7 X ij 7 + ρ 8 X ij 8 + ρ 9 X ij 9 + τ 1 X ij 10 + τ 2 X ij 11 + ± ij 1 if experimental unit from block 1 X ij 1 = − 1 if experimental unit from block 10 0 otherwise X ij 2 , . . . , X ij 9 are deFned similarly 1 if experimental unit received treatment 1 X ij 10 = − 1 if experimental unit received treatment 3 0 otherwise 1 if experimental unit received treatment 2 X ij 11 = − 1 if experimental unit received treatment 3 0 otherwise b. Y ij = µ .. + ρ 1 X ij 1 + ρ 2 X ij 2 + + ρ 3 X ij 3 + ρ 4 X ij 4 + ρ 5 X ij 5 + ρ 6 X ij 6 23-7...
View Full Document

{[ snackBarMessage ]}