回复 1楼 helen526 的帖子
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Helen 526,
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% {0 P% i4 z" r6 G8 l) L你的模型是:
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, g2 I, W/ k7 ~3 P" L8 j! o模型假设1:个体层面,A对B有显著的正向影响 假设2:C对A和B之间的关系,具有跨层次的调节作用 假设3:D、C对A和B之间的关系,具有三重调节作用 另,团队层面的控制变量包括,organiztion1, organiztion2; 个体层面的控制变量包括age,sex。A和B和D为个体层面变量,C为团队层面变量。 Model 1:只包含控制变量 Level 1+ o( P; H9 y( Q, f& G
B ij=β0j+β1j(age)+ β2j(sex)+ β3j(C) + β4j(D) +file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gifij Level 2" q: C/ ^+ b, M2 J2 k
β0j=file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image004.gif+file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif01(organiztion1)+file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif02(organiztion2)+file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image006.gif β1j=file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif10+U1j β2j=file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif20+U2j β3j=file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif30+U3j β4j=file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif40+U4j (将调解变量C和D首先引入方程,是为了保证“在分析预测变量A的效果之前,首先控制C和D的作用”。请问,这样做可以吗?) Model 2: 加入预测变量A Level 1
* I! [' p2 K# W1 PB ij=β0j+β1j(age)+ β2j(sex)+ β3j(C) + β4j(D) + β5j(A) +file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gifij Level 2% g: n( `: B/ y: ~( i4 O/ B" D7 D
β0j=file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image004.gif+file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif01(organiztion1)+file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif02(organiztion2)+file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image006.gif β1j=file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif10+U1j β2j=file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif20+U2j β3j=file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif30+U3j β4j=file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif40+U4j β5j=file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif50+U5j(file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif50表示A对B的效应,验证假设1,对吗?) Model 3: 加入所有的二维交互项A*C、A*D、C*D(验证假设2) Level 1/ p+ t& ]/ N4 J. t( s: |
B ij=β0j+β1j(age)+ β2j(sex)+ β3j(C) + β4j(D) + β5j(A) + β6j(A*C) +β7j(A*D) + β8j(C*D) +file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gifij Level 2* D; @2 C) ]/ |0 z0 e
β0j=file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image004.gif+file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif01(organiztion1)+file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif02(organiztion2)+file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image006.gif β1j=file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif10+U1j β2j=file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif20+U2j β3j=file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif30+file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif31(C) +U3j β4j=file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif40+file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif41(mean D)+U4j(由于,D本来属于个体层面的变量,所以涉及到level2的分析,一律用mean D的值代替, 这样合适吗?或者您认为在D是低层面变量时,应当怎样处理?)
( h2 [( \) K# T+ Q5 h& p& L: K. O β5j=file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif50+file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif51(A) +U5j β6j=file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif60+file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif61(A*C) +U6j β7j=file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif70+file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif71(A* mean D) +U7j β8j=file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif80+file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif81(C* mean D) +U8j (看到JBP加油提供的文献中,file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif30(C)表示C对A和B关系的调节作用,但是我认为是file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif31表示C对A和B关系的调节作用?) Model 4: 三重交互作用(验证假设3) Level 1# ]' B q% S7 N$ a6 M, P0 d
B ij=β0j+β1j(age)+ β2j(sex)+ β3j(C) + β4j(D) + β5j(A) + β6j(A*C) +β7j(A*D) + β8j(C*D) + β9j(A*C*D)+file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gifij Level 22 j3 C$ A! |/ B
β0j=file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image004.gif+file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif01(organiztion1)+file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif02(organiztion2)+file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image006.gif β1j=file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif10+U1j β2j=file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif20+U2j β3j=file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif30+file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif31(C) +U3j β4j=file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif40+file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif41(mean D)+U4j β5j=file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif50+file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif51(A) +U5j β6j=file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif60+file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif61(A*C) +U6j β7j=file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif70+file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif71(A* mean D) +U7j β8j=file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif80+file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif81(C* mean D) +U8j β9j=file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif90+file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif91(A*C* mean D) +U9j (其中,file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif91(A*C*D)表示D对C\A\B关系的三重调节作用,对吗?) 如果写论文,下面表格报告的格式可以吗?
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Model 1
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, B J" U; ~; G& k( g( tModel 2
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4 t9 W2 e% t; ^4 Y! X; x; d& LModel 3 ) h7 K! L3 n7 ` k5 _/ O) s$ [
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& T8 m# p) ?7 e5 H% ^9 q- Z C7 E5 _3 LModel 4 6 i* C' \/ g! Z
| Interceptfile:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image004.gif |
$ g6 {% d( d8 H& B数值 6 T& Z p4 ]) @ `" ]
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数值 & r; r( `5 Y6 G. z$ I
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! i3 v2 f' F/ P0 I; |4 Q+ |* E数值 + \- u. E: A1 P, {* q0 y+ v
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数值
; o( X# @9 q% i2 {* ~/ s) { | control variables | $ m# |9 Q* H' R7 r2 B
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! ^4 m$ C. X/ B6 ~ | Organiztion1 (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif01) |
3 U! u: ^, Q# V8 ^7 H% e数值
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数值 9 W8 Q' l: e$ P% j- u' v# r
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$ Z3 _5 R( s. V数值
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* [. p' t5 ?6 V& c8 D数值
3 Z1 ~& r9 @4 z/ v# T0 K | Organiztion2 (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif02) |
" V5 f- h$ O0 Q4 p2 O数值
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数值 7 q& a* m& B6 b9 A) ~7 S- C" G
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. n# \$ Z* Q6 m1 Q* d4 ]1 u数值
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2 |; V! A& V( _/ m数值 " z6 U; s5 `3 y( |/ n0 O
| Age (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif10)
6 |! Z& h! R5 j' O/ R | 4 ^& \& I G. e0 W& U
数值
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0 B" V1 J/ d# Q数值 * z6 _ A1 P6 v+ @7 N6 b1 l
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数值
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数值
2 b2 z- X/ t! B8 M; c3 J- D | Sex (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif20) | ; `, c! I3 G. j+ x
数值 . i7 ?# g5 Q. |! i$ b" y' q( V
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数值 ; n: u6 g7 R; U& w g5 L
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数值 7 s) ?, t. m; _7 r- i B; V
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数值 # Q' y; s+ S l6 z( }% R" X
| C(file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif30) |
& P- P. D8 @# E. v S$ [数值 ! h- }3 U' n' E) y, O, r
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7 D: i# U; z. L, G+ P2 P" C数值 3 @& q* Q/ Y9 k7 x
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数值
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数值
& N8 R7 D* M3 D& h | D (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif40) |
7 K# W3 |& @% y# }2 m数值
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数值
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数值
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数值
' `; |% j T5 S/ r( ? | A (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif50) | & o) F5 A; U+ X6 A O* J
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数值 # K) i/ [. p# r" x
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数值
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数值 0 r6 G2 |: l8 f" I' X# D; u" a
| A*C(file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif60) | _. n3 Z8 i: k) F8 G6 |3 e
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3 o6 z' i6 {" A* E& ], ~# ^ | 2 @6 R! R j. X$ V, ^: e
数值 ! C! K! K- A% k* P8 z8 j
| 3 K: E) ^; v/ G8 {9 e! m
数值
! c8 Z: s# Y# j7 u0 v | A*D(file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif70) |
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数值 3 e S q( b( `$ q8 t5 a
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数值
' w7 g: I) j! g, J" R5 } | C*D(file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif80) |
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数值 + G) C* R2 f( i" P2 n
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& }1 M( O4 k# B数值
, \- S6 z$ t4 n7 d) m: q! f* Z. t | A*C*D(file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif90) |
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5 Z' A9 m- Q9 G% o; g- @3 n( E+ \0 x | ' G; B. ]- D% ?. c( D7 {0 q7 v
| ) G$ o, P s# n% a4 u2 s
数值
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8 Y( M- m9 C) y7 x3 ^3 b8 B' m | 4 i" H- O4 u* Q) m6 u6 {* u
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" P! o; k! Z8 T4 b" S1 w | X2 |
0 e) t! s$ ?6 g, N! {数值
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数值
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3 W1 F. B9 ], b数值 1 ?' m U4 F* V5 [( j/ N
| 6 O/ I; u1 b1 s" X, V
数值 $ I# p5 T2 z9 s) H5 u3 Y1 H' f
| Deviance | " \; n: y! X+ Y4 b+ Y& q8 F
数值
% E2 t2 l; @) V- f |
1 n2 [. Z, N# e数值
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数值 ; Z0 \; D1 V4 q$ H' R& |" m- ~; _
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8 Z( \/ h4 L7 o2 |; U数值
" f B2 y, y1 c0 ?5 F y | Decrease in Deviance | ) ~& u( F+ l a
m 6 n' s5 p$ I8 u! Z
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k
* `, h- k O( t, @0 b. P% I: W8 Z | m代表 Decrease in Deviance in comparison to the null model n 代表Decrease in Deviance in comparison to the model 1 l代表 Decrease in Deviance in comparison to the model 2 k代表Decrease in Deviance in comparison to the model 3 |
; I1 D. {7 `5 B( Y! G- a hHelen,7 @3 I6 q" w' O$ z: \
我怀疑你的模型根本就不可能,所以你的问题我不知道如何回答。
0 l/ D) v( g" O* ^凡是一个高层阶的变量影响(或是调节)一个低层阶的变量,就表示这个高层阶的变量在低层阶中是不变的。所以在你的模型中,在每一个层阶中,C对A→B的影响是不变的。那么D何来再调节这个不变的影响呢?如果要有一个三阶的调节,而第一个是高层的话,另外一个一定也是高层的。你的问题只有当反过来说时,才会成立。就是D(低层)的变量调节A→B的影响,而这个调节再被C(高层变量)来调节。
" U6 _) J; I6 Q% z( Q! r, q- P, @! l% C在这个情形下,我会这样模拟: B- X6 ^5 v3 ^" r
Level 1
# M: E3 A, }. i$ q* J) fB ij=β0j+β1j(age)+ β2j(sex)+ β3j(Aij) + β4j(D) + β5j(D*A)+file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gifrij Level 2- T/ q+ o+ h) N" E; ~+ a
β0j=file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image004.gif=gfile:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif10 +U1j (organization 是grouping variable,不用模拟的)
9 c$ y, d6 G( s, W/ T7 J. Nβ3j=file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image004.gif=gfile:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif30 +gfile:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif31*C +u3j 8 z' }, g4 L: {8 [) L
β4j=file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image004.gif=gfile:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif40 +gfile:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif41*C +u4j 2 h0 a9 b( j) l% v0 g# Y8 S2 E
β5j=file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image004.gif=gfile:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif30 +gfile:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif51*C +u5j . N3 n8 Q, T# r
参数gfile:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif51就是你要的three-way interaction了。
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1 O4 z7 }+ a, i9 a# C& M* w# hfile:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image006.gif 本帖最后由 Kenneth 于 2011-6-12 23:50 编辑 4 U& t h8 c8 V) A2 f
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