Microsoft Word - News 18 本文.doc
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1 Argonauta 18: (2010) Cohen et al A, B, C X, Y, Z 17
2 error error X Y 1981 i) ii) 0 18
3 iii) iv) Yi = X1i + 2 X2i + + p Xpi + i Xp pxpi + i i i Xp i Xp i 2 X Y 0 Xi Xi Yi Xi 1 i), ii), iii) 1979, Underwood 1997 Cohen et al
4 i ) X1 = X2, X1 =X2 + X3 ii ) 0 b2 X2 X1 Y X b1 0 tolerance VIF tolerance R R 2, r = 1 R 2 redundancy R 2 tolerance R 2 r r > 0.1 Cohen et al VIF variance inflation factor 1 / (1 R 2 ) r VIF > 10 r = 0.1 variance inflation factor 20
5 VIF r VIF r VIF cal = bi / { Sf Se / (n p 1)} bi, Xi ; Sf, ; Se, ;, ;, cal n p 1 bi = 0 Xi Xi 1981 cal n p 1 cal R SR Syy R 2 = SR / Syy R 2 R 2 21
6 R 2 R = n 1 SR = Syy R = 1 = 2 2 = 2 = 1 = R 2 = SR / Syy = 1 1 R 2 n p * * 2 = VR / Vyy VR Vyy * * 2 = {( 1)R 2 } / ( 1) R 2 * * 1, 0, 0 0, 1, 0 0, 0, , 10 1, 2 22
7 0, Pearson Spearman Kendall Spearman Kendall 12 3 =( r23 ) / ( )( ) Spearman Kendall Conover Spearman p = y1 2 / {(1 y12 2 ) / (n 3) y Spearman 23
8 distribution free multivariate distribution Conover , Underwood 1997 Semi-partial correlation Lagos et al. 2008, 1, 2, n 1 2, n 1 2, n 1 2, n 2, n 1 1 2, n 1 1 1, 2, n 1, 2, n 1 1 "true effect" "unique contribution" Tabachnick & Fidell 1983, Freckleton 2002 s n q 2 xy s = (xy)q / {{1 (xy)q 2 ) / (n q 2)} 24
9 (xy)q x q x y y1 2 = ( y1 y2 12) / {(1 2y 2 )( )} y y1 1 y(1 2) = ( y1 y2 12) / ( ) y(1 2) 2 1 (1 2y 2 ) 0 < 2y 2 < 1 (1 2y 2 ) 0 1 y1 2 > y(1 2) (xy) 10 2 sr 2 Cohen et al sr 2 "unique contribution" y S % A, B, 1 0 S % 6 25
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13 Cohen J, Cohen P, West SG, Aiken LS (2003) Applied multiple regression / correlation analysis for the behavioral sciences, 3rd ed. Lawrence Erlbaum 29
14 Associates Publishers Conover WJ (1999) Practical nonparametric statistics, 3rd ed. John Wiley & So Freckleton RP (2002) On the misuse of residuals in ecology: regression of residuals vs. multiple regression. J Anim Ecol, 71, Lagos NA, Castilla JC, Broitman BR (2008) Spatial environmental correlates of intertidal recruitment: a test using barnacles in northern Chile. Ecol Monogr, Argonauta, 13, Tabachnik BG & Fidell LS (1983) Using multivariate statistics. Harper & Row Underwood AJ (1997) Experiments in ecology. Cambridge University Press 30
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