回复 1楼 helen526 的帖子
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$ m3 }- z0 q6 c8 x" f1 Q7 d& OHelen 526,
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你的模型是:
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6 ]* S0 W) P0 N6 W0 L$ [- K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& t; C& L/ q1 |# C9 |
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 f% A3 q* c; {# o
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- K* D X X! X7 J0 \0 G
B 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) z) m9 y9 D# v, J& e* y: f2 X. t
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
- U- f9 T1 J% m8 x% YB 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- `# G- g" ^3 }8 X! K6 F3 M; Q* 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+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?)
+ W- t$ _1 }9 O' F" o Q, Y 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" P0 |8 _" ]% |. K; Y c/ @& b
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 2
* G: ]# u4 P( f" \6 xβ0j=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
3 \2 E% R& R! O/ F | ' r: [9 ~5 c0 @' e
Model 2 7 O7 H# a. |0 ?
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- G# r% w" E! N! F+ WModel 3 & M. U; q- h4 w
| 7 \% w+ w" H0 x" h! ^' N( Y- M( B8 n
Model 4
: l+ ^1 g3 y5 R- X | Interceptfile:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image004.gif |
# n( `' L" ]* }4 f" g) P8 N数值 ! p' N! Y2 B; h5 e. @: c7 f( w
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; M) g. `1 m# @9 f数值
5 j# U' [; A0 a6 @& s4 S- @: t |
0 }. Y/ I2 F# b* N数值
' Y7 ^0 h ^, a |
# I6 |7 s3 T, {- ?# l* V1 i数值
( B- n( ?. R& ~ L+ o. M | control variables |
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| Organiztion1 (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif01) |
5 d. r( _8 Q+ N G, _: F) i+ R数值
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数值 0 f' p, y) k+ e* O3 y' V6 m
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数值
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数值 + y9 y9 \ x$ x6 q& k
| Organiztion2 (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif02) | ; b7 Y# v% L- Y, K% h
数值 3 p; z% ^* I* J \
| 8 q( |& Y q U2 u& \. @) x
数值
% i0 }4 _4 B! `. W- C2 g* Y |
: r# l E L: g. W$ x+ c: ] a5 }数值 1 v/ H0 g6 Y5 W S
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3 q, Z1 d# o- R" e数值 . u" @: j6 i4 Q7 h g) g
| Age (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif10)
3 c/ |8 }- L1 O/ }& c c8 c |
3 t" B9 o# D+ W$ \% {7 }数值 6 O, X$ H' y, l6 t
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F7 S4 R3 k* V H3 a数值 . m+ [3 N; I- N- P5 e2 H- I0 F/ O
| : Z( U+ S' s& h2 M$ |
数值 ( u5 V- E! l( S1 C* j$ ?
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0 s$ ]1 F) ^# A数值
$ c9 i$ z/ {& j7 y) K4 C | Sex (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif20) | " N8 c2 Q+ t' W: c5 H& P; i1 j2 e
数值
@# Y* o; \, E. l5 Y# `, B! O | $ B0 B+ G" Y: Y" K
数值 ' A( W7 t8 h1 S# V# o K9 C$ M4 G
| 1 E( R1 a5 _, Z3 {) @5 q; Q
数值
3 b3 G0 |9 p8 _ |
- h: ^3 I5 i4 }2 R数值
6 ]; ~( ~. J: k- x7 k2 Q! I | C(file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif30) | % Y; ]' T& c/ L$ F( e7 X1 r
数值
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数值 0 r4 \. ?6 b# a
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: t4 V0 f* Z1 p: O数值 9 a& j5 _5 N O( U# X" e7 H+ O. `
| ! K0 R* X# U& c5 K
数值 2 G Y9 Q. O& y/ ?! U
| D (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif40) | # k' |: K2 B8 ?
数值 : W3 [2 b* u8 p
| ' D; n2 B9 Z5 L2 T! s) M4 |/ v1 L% V: _
数值
/ s) e0 o( a1 v |
7 q! E4 h+ o% P/ @ a6 p数值 7 {" E6 k, U! _8 n8 \
| * d( x; s7 J( T/ p p
数值
$ r, B+ y: \0 C! B | A (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif50) |
3 E! T9 @) a6 P |
( j* N" G9 n0 }+ N; j3 Q2 R数值 : z% f4 {) x: s0 ^5 H/ B; q0 ?% N
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% v- x6 [: I1 [" ~$ H- F4 _* R" I数值 : O2 o" Y* _' M0 L" B( G+ T8 j/ y
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1 P; B, j5 S* S- Q" o% y5 ~% w _数值 3 [. o. e, v' V$ I) c9 `
| A*C(file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif60) |
7 J5 U) Z' Z3 G; {. c | 8 c& F6 T* i4 u4 r1 a
| 5 r4 b5 Q3 w, o6 P( a) s
数值 1 F3 l8 h( O# K3 M
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( A0 p; M4 ^* J: _& Q5 m& D数值 1 d" ]1 p& L$ O
| A*D(file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif70) | % O) L' _ O& A9 g
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| / c; d3 y+ ?7 u; @7 V" b% F
数值 ( F3 j# K g1 e# |. Z# R
| 4 B2 M# g5 f) V) b! l: E8 X
数值
1 f9 u/ t& `9 n! _1 u | C*D(file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif80) |
: v8 p% Z7 J# b: c | / H/ h8 R% {2 N7 H' O
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3 h4 _4 ^3 @" V5 T7 L" y数值
: L F7 r# k, I9 `& m |
9 j! V0 s6 W6 o& n0 ]4 W9 {数值 1 @1 s0 B. V R' ]( w8 m* u0 G
| A*C*D(file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif90) | & J* ^# x1 D1 j
| # ^6 d" {* h% v/ `
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% S: l+ u) R& l; K) U |
2 W6 \8 k" k: A8 @. u/ i0 O. h; Z数值
4 j) H% a( K3 l | ) k! }5 R( m! o0 t X5 z
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$ ^/ s4 `1 c- b1 D& ?" E X) _ |
- y3 b' g$ a1 @) c$ u | 0 x" F7 l8 D, u s( i S1 k
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6 ^; Y; i' E$ \% o$ ?& K' F | X2 | / g; f# Q, i1 c3 c" e1 ~' {
数值 0 X6 w6 u( I0 l+ |* o6 D
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9 N4 S- k, P* }6 X4 q% G9 G数值 - S- m: O) @2 h- a1 y
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8 J) q1 c6 h7 S7 n* F ~% G数值 5 F, h& F% q: E, j
| 1 c3 w, F0 N. E# T
数值
! o* r4 V, X- o% E1 I3 L' { | Deviance |
, R9 [! \" t* {* H; @数值 % Z/ l) z% p3 ? X. G8 T w
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! [) Q; d, k3 O2 C# q- {) i数值
8 x$ j* m$ Z' q2 C |
5 L* |- }/ a$ L数值
0 h& N0 ]' p2 F' C | W6 f) n3 ]% J( B/ D
数值
: E( _8 f9 `' v0 [* x, L | Decrease in Deviance |
4 Y/ X! K- `" x/ mm ) s. ~2 I0 r* [9 i: F6 y$ \: v
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9 J: B# c$ V4 V# z( _. @n 5 ]. r* c; f! Z. h: g" F
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l # G5 G! @7 a( G: b' B& k
| ; t1 C0 u; L( {) P
k " \" Z" X7 w: Q* x& k0 v. K
| 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 | ! i% X; h N! H' V& [+ c
Helen,/ j9 b! B: r7 e. H: T& L$ {- U. I
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。
# q% h& p# {( g2 z# R" H0 N: P2 G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。& P1 Q( r. `. L. B/ U W
在这个情形下,我会这样模拟:, X/ _. O. t. C* p0 c( {0 U
Level 1. I8 G- J/ F% ~& {$ R, ]2 [
B 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$ y1 ^* H" j# Z2 Q8 o: m( Z8 r- i
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 |0 {" ~" l* |3 ^1 a6 p, @8 M" Cβ3j=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
# j _: o. S$ P1 S: L8 K! t 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 : N. F! Z: C; J I/ E k
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 + D. B% T, j$ t
参数gfile:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif51就是你要的three-way interaction了。 ) A0 N/ W) p9 \
Kenny
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file:///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 6 u0 S' V- T- O4 T
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