Exact Tests for Fixed And Random Effects in Unbalanced Linear Mixed Models
Exact Tests for Fixed And Random Effects in Unbalanced Linear Mixed Models
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In our eReader you can find the full English version of the book. Read Exact Tests for Fixed And Random Effects in Unbalanced Linear Mixed Models Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Exact Tests for Fixed And Random Effects in Unbalanced Linear Mixed Models
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To quickly assess the difficulty of the text, read a short excerpt:
-' '- . .~n. .■'~rs 1 1 ■ ® 1 - [ e 1 111 ■ . .~n. . '- . . ~n. . ■' '~rs = 1 - 1 =0 ~n "-n ~n X 1 I- o W X, = W [ ® 1 1 fn. = y n. / 1=1 1. J=l r s W [ 9) f ® 1 111 1=1 J = l ij * 1 - ® I ® n.: J 1 11 . , ~n. . , '- ^ . , ij n. .~n. / ~; 1 = 1 1. 1=1 j = l -" ij ij -69- r s 1 1 i=l i. i=l j=l ij § 1 - » 1 =0 1=1 1. 1=1 1.
Now, the matrix X^ = I § K Furthermore , j = l Ij j = l 2j j = l rj -1 ^ -1 ^ -1 {& n. . J = Diagf ® n, . J , » n^T J . . ij n . . °^ . , Ij n, . ' . , 2j n. .
, » n !j . , r...j n .' hence , "t^2 = [l - * n. ^ J ]X„ n . . 11 n. . -^ 2 X„ - { » n.^ J }X„ 2 '■ . . 11 n. . ■' 2 X„-[ ©(n,!j 1 )': ® (n„^J 1 J = l Ij Ij J = l 2j 2j ; ® fn ^J 1 . , ri n .~n .' J = l rj rj x„ - r ® r : ® r :...:« r 2 •■ . ~n . . ~n„ . . .^n .■ j = l Ij j = l 2j j = l rj ^2-^2 = 2n xs' W X_ = W [ § 1 t 3 t '- . .~n. .
-70- X^ - ® n. . J 1 = X- - » 1 3 . .~n. .
= ^3 - ^3 = 2- (ii) We know from Lindgren (197b, p. 333), Theorem 3) that V and the residual sums of squares, C' , are statistically independent.
What to read after Exact Tests for Fixed And Random Effects in Unbalanced Linear Mixed Models?
You can find similar books in the "Read Also" column, or choose other free books by Gallo, Jose Manuel to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
-' '- . .~n. .■'~rs 1 1 ■ ® 1 - [ e 1 111 ■ . .~n. . '- . . ~n. . ■' '~rs = 1 - 1 =0 ~n "-n ~n X 1 I- o W X, = W [ ® 1 1 fn. = y n. / 1=1 1. J=l r s W [ 9) f ® 1 111 1=1 J = l ij * 1 - ® I ® n.: J 1 11 . , ~n. . , '- ^ . , ij n. .~n. / ~; 1 = 1 1. 1=1 j = l -" ij ij -69- r s 1 1 i=l i. i=l j=l ij § 1 - » 1 =0 1=1 1. 1=1 1.
Now, the matrix X^ = I § K Furthermore , j = l Ij j = l 2j j = l rj -1 ^ -1 ^ -1 {& n. . J = Diagf ® n, . J , » n^T J . . ij n . . °^ . , Ij n, . ' . , 2j n. .
, » n !j . , r...j n .' hence , "t^2 = [l - * n. ^ J ]X„ n . . 11 n. . -^ 2 X„ - { » n.^ J }X„ 2 '■ . . 11 n. . ■' 2 X„-[ ©(n,!j 1 )': ® (n„^J 1 J = l Ij Ij J = l 2j 2j ; ® fn ^J 1 . , ri n .~n .' J = l rj rj x„ - r ® r : ® r :...:« r 2 •■ . ~n . . ~n„ . . .^n .■ j = l Ij j = l 2j j = l rj ^2-^2 = 2n xs' W X_ = W [ § 1 t 3 t '- . .~n. .
-70- X^ - ® n. . J 1 = X- - » 1 3 . .~n. .
= ^3 - ^3 = 2- (ii) We know from Lindgren (197b, p. 333), Theorem 3) that V and the residual sums of squares, C' , are statistically independent.
What to read after Exact Tests for Fixed And Random Effects in Unbalanced Linear Mixed Models?
You can find similar books in the "Read Also" column, or choose other free books by Gallo, Jose Manuel to read onlineMoreLess
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