回复 1楼 helen526 的帖子
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Helen 526,3 G* A+ y8 j/ F+ l, I* a3 c
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你的模型是:+ z0 I* ^! o/ K* j' O7 u
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% ?8 O- S. r `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
2 j1 g; A5 c% H; N* ZB 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
. V* |% S A0 l; c& K6 s! n) }5 Uβ0j=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& L5 V( q/ I Q k
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
! L9 I5 `& Q6 [6 X7 aβ0j=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
4 m% d) F1 g+ ]# q7 Z$ J, Q- g$ `5 K+ x! |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 28 R9 i; d4 q( f! E; ~1 m2 Y
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?)
3 r; j( m+ j' I3 R" G ?: c9 r. r 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
' u" j4 o$ R1 r; P( }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. \8 {# E; s/ m: ^* C/ T1 w
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?( u! R! k t2 m" E9 y c
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Model 1
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Model 2
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Model 3
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Model 4 * ^* f v1 d Y2 }
| Interceptfile:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image004.gif |
8 h# I+ g( } m; Y& w; W数值 ; W* x% X- |' E6 \7 N
| % a3 J! |8 z( w( i# I: ~' |
数值 7 v& e, _7 t1 b. @' ~+ h
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" o6 i0 X; _% W7 p; i数值 # w* A6 O2 F2 F6 C% }+ p8 X) M" |
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8 Q$ F4 k2 f! ~* P数值 $ ^ F4 L& | m2 G* z: I+ T
| control variables |
# K( A" L3 g& b5 \ | 2 @' Q* _% t, s( s1 v- M8 K# P3 ~
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: F" A4 w3 d: _1 S) w' F7 [8 x1 h8 j | Organiztion1 (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif01) | 4 K+ q' b) K$ I' r2 w0 [" F# b
数值 C; E! a" h; U U) M; K$ F; Y
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! }! Z4 @3 ^8 y) T7 k' V数值 . J, k) L: G) i! d) W4 t7 [' }7 g
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数值 : W( D0 e; K: L3 N' y, S4 }
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数值
7 i$ u* I) L* W4 } | Organiztion2 (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif02) | : U$ [8 H: {. z/ h$ d$ W
数值 % M$ Q0 Q" g& r) t& P F
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* q' t0 r( P" x3 e- y数值
# l# d) i& ]+ l3 T2 `9 c. w3 z' m- U | * ]8 W$ Q9 A; |. s! D
数值 . R6 g! F9 d9 I. ?) R! X) v
| 8 R7 F. a) m: }3 o
数值
1 k$ [# `$ f# \! f& E5 x% B" I# k | Age (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif10)
8 ]* d- t& M6 a- ^! t; j | ; l! G! r- c$ G% w0 o
数值
5 d9 {; ?6 E: D% q4 @ |
) x: Z0 ~. N2 t; ^) X( _数值
5 w7 B) Z$ V$ J |
( Z6 d! T4 }6 C0 Y" u7 x数值
* h: a9 m- ~( c5 d& T* x: G | ' R2 Q4 t0 s, G. }; G- B
数值
# x$ ]3 Y. A5 Y' ]& d# G | Sex (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif20) |
* {5 m/ |% t" U7 N3 L数值
1 q; ^. |) A$ ~; v" w& V+ u$ E3 m | 9 ~, q' W7 A/ V$ |& q
数值 4 a# H: ~" T' K4 t8 J. l1 |+ Z
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% R' L$ r% c* Q% Y1 H数值
: V, U, i) I: b' `2 A' u6 Q |
4 r% K ?% a& ]( Y! A* s数值 + h2 @! x/ A% h" g: F: ^# u
| C(file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif30) | Y) e: \0 A* x, ^1 ^; s
数值 0 g: I0 H# T$ |/ k
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; A2 V& x5 n7 }4 p" Z2 f$ c- c数值 0 K! G' F, |- K M0 P5 [* v1 [7 T
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; n$ `/ Q4 K( R" o# D9 r4 [, g V* x9 `数值 5 Z9 B# q5 v7 D7 t7 b
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4 H) k& f7 j3 Z* I数值 0 H1 z. [& B: P: a& O3 v
| D (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif40) |
/ r$ v5 e2 L5 Q/ E7 Q数值
$ G; o4 S6 {! Y% s4 H3 u) S3 S |
$ K. v; K# K8 ` u& i" k" F/ r数值
* l, t: ~! u4 @9 ~8 O% ~ | ) t$ m- v( X% ^+ ?: N* Z3 x2 n# M' ^
数值
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& ~4 `5 E( M+ F. l. j数值
; Q; Q5 }, {; M! c, Q | A (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif50) |
) ~9 n% C& M' l2 Y( F, m, S* \ | , U2 d$ \: U n5 q
数值 7 W# s5 q8 g5 J: E# Y, V3 _
| t, `; n4 T3 j0 j% F: b% Z0 _7 D
数值
3 O+ n+ Y. [9 Q" p8 \5 Y |
4 m) |* E6 m6 i9 N, I9 l数值 + `; Z, F9 o5 L% s
| A*C(file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif60) | - ]0 t# a* u$ Z# x5 Z
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4 z1 a0 u: |' J W& E; [/ d数值
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数值 : `# |% y, Q6 x5 L9 Z6 a7 q
| A*D(file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif70) |
8 i) g6 }7 }! g9 n; x, U; H( A | ' [5 ^6 W' q% f4 q
| $ D3 I! I2 Y* Q) I0 g4 F
数值 6 K3 q9 O6 f8 j; J, V& T4 c; X
| , d4 _2 r7 \1 J% C* z) C2 l. S
数值
# F/ h# [1 I! N" A | C*D(file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif80) | ( T! G# i' z6 V4 c* g5 [- u
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| * X, M7 h) J) \6 J! ]3 k
数值 1 f2 M1 H- d/ o/ x# N) U
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' @7 [$ S8 ?9 e6 F- R7 s数值
3 w: s- K9 q- O' E | A*C*D(file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif90) |
1 q9 f, b: `8 w6 a3 V% W8 ~5 P0 { | 3 p! X: g# b4 U3 ^% l" @
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数值
5 u( m% Z/ e: D |
+ v4 M$ m9 _) T! N8 _; _ | 6 _: v) i! _4 @4 l
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6 c' u' D# `9 v7 x | X2 | 6 W: {: E2 n" J/ c4 C) E& `
数值 ) N( b; y8 [5 ]# W. }
| 0 k; O4 L1 @" {. c" {( ~0 E" Z
数值 ) o5 v- _$ Q" J* g+ l5 A
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! K" ]& N. J: M2 P数值 * L7 h! C# t M0 t! B- J
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- e6 k6 \: e% z5 J数值 [) u% r4 T: S1 K) w
| Deviance |
0 Q% Z5 w/ _6 m1 ^% H0 H数值
- l4 O* U+ n) x D4 l3 u, Z |
3 Y* ^% B/ J2 S- G' [9 `4 f数值
0 Q$ T4 W9 p7 u6 A! s | ) Y' M2 a% y, j; Z+ P' \
数值 9 @7 J7 }( ^1 }
| ( l0 V6 m* G! r
数值 " X1 W* n9 Y5 A$ ~" Z# ?. T
| Decrease in Deviance |
1 G% |2 g5 B6 W6 P8 Gm
8 n4 K6 p/ q" e9 V0 m |
0 K& O2 C; }5 b Z, gn . T$ c9 q) k. u: P5 K; @+ O1 ^" @9 H
| . o0 G5 w- h9 v8 E' b9 K. w6 T
l
$ ]) `" M- Y# F% c- L0 s+ Q; T | 8 d$ B, H4 k7 A' K$ d; t7 Z
k 4 l: I. Y K" ~; F I, p$ t
| 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 | 4 g& D0 F3 H- p# W0 r: f" P
Helen,
0 ^7 ~9 {% R6 Y0 h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。! c2 d5 o- ^8 D% _
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。) Z& X- h2 s8 M- \2 q6 a
在这个情形下,我会这样模拟:
/ ]+ b8 P [3 r1 O, hLevel 1* ]/ a0 Y7 B" i9 _$ {
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
4 S0 K5 d/ I% N! k$ D3 \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)
7 f1 R- T# P1 Q& @) uβ3j=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 # |. X0 [' C, E+ R, p8 R
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
/ C9 M6 w1 _- j* P& s4 M! u f2 ? 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
7 ~1 X6 Y$ A) x7 x! {: P% \6 g- } 参数gfile:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif51就是你要的three-way interaction了。 2 q0 E6 `/ r6 Z# l0 I# @
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
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