回复 1楼 helen526 的帖子 n& y. G: j% Q
_$ A* L* |3 }3 MHelen 526,' k3 ]$ z& e. Y5 g3 W
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你的模型是:
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6 P- z# f/ v) a- U |& V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
: c+ y8 x- D+ V5 Y8 p; h( nB 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! ~: M/ L3 k" h1 w8 @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
8 w$ T6 y. c% a' vB 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; C$ y4 }% p& ` A* ~4 V
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) Z* w7 O7 V0 l( J; M
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
2 _' A( }2 ^6 q1 d7 p5 Tβ0j=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?)
) I4 L9 E7 ^( E: a8 ?7 z# A& K' F3 ?! M 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& h" c9 {5 A: f# H; Z
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
0 y* K: ~* _8 H& b* m( Lβ0j=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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5 f/ t% D& H7 \Model 1
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Model 2
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Model 3 $ E0 [% r0 g( w1 M
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$ C* K& f. [- H) t! S6 MModel 4 # y0 E1 T: [; D/ w) ~- V
| Interceptfile:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image004.gif | 6 w+ K9 v+ Y y; R
数值 4 `' f! }) n: y4 G6 J
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' F1 o$ _+ P. p" r数值
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. j1 ~" q5 N/ V1 q$ _数值 9 Z$ B @$ G& A3 I e1 \' n
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% T8 \7 ^8 C/ a/ m数值 $ f- A1 W" n- o" E6 m/ R+ O r1 u
| control variables | : M$ R/ y% U, j* h& s* y
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| Organiztion1 (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif01) | 6 L2 |1 W# E6 r0 O# s4 C
数值
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数值
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数值 : L* H$ U4 S0 F$ k) d0 w
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' c0 W5 H1 D! [7 c& o2 @数值
7 F/ k# G3 U* |9 ^; b | Organiztion2 (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif02) | 2 t6 I/ Q0 A b! N4 j. y# P
数值 ; ^) m/ ]* \+ U3 l( Q+ e
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数值 7 q- Z$ f/ }- |( K# u& b
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2 i3 B l5 Z3 h( y数值
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5 M( o# b; @" [# T* N$ ?# E数值 9 M( Q9 W D2 i. S
| Age (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif10)
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数值
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7 Z3 @! r6 o' @; n1 G数值 * m: j0 B% I6 W: g; k
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* s" h; ?; R9 a, k& a5 s数值
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数值 5 `& _9 v1 W6 R1 J" f1 n. m
| Sex (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif20) |
* ]0 ?* G; D+ {2 P( z数值
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数值 2 T! g/ j3 w( s Z4 }; O+ \
| 4 I) N( P! C F1 U5 E% d
数值 1 n2 G+ q6 Q `- N0 l0 w: o
| 9 x: [3 H$ I6 C. I! C
数值 : c$ M! J. v3 c" |5 `9 [; H/ M
| C(file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif30) |
4 i' h- o% E2 Q2 @& J& A数值
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' x9 |: y& a" [数值
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数值 8 Y e7 S+ `+ k+ N& N9 x8 ^
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数值
; ^1 B9 Q8 G- x3 T | D (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif40) | 7 \) G. q7 T9 Y. S2 W: _# ?
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数值 ) Y4 ]* q4 A/ {5 j5 E; E7 S) w# _
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数值 , z: v i, c! S3 r+ P s
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- J7 z( D/ O& _数值
9 Q6 h F. Y4 ^7 r; K% K8 T | A (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif50) |
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数值 5 s$ P6 k6 A# ^5 z, w6 i: u
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数值
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数值 : B, Q: r/ T' L: {6 A
| A*C(file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif60) |
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数值 9 q; |2 F) x, |, D z$ ~, h Z
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! z5 `# ^) n I7 A4 b0 @数值 4 P2 y: w. ^7 v" S
| A*D(file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif70) | 2 w" M6 q0 D" x2 p
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数值 7 v, h: b4 E* O/ }& m) }! d
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数值
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3 ?# q3 u" p! y5 Y; g; e( [数值
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! V4 S5 b( i) w+ r. @7 S+ ^+ }8 Y数值 ( [" |( a6 B" S% ^8 F# l
| A*C*D(file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif90) | ( E* [5 \7 o- U& _
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' d1 u1 F3 G3 k! b- l; H1 L数值
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| X2 | $ V. a% t* [+ l U: v2 c5 S) M
数值
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* r2 k3 n! j6 F3 H2 V0 F数值
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数值
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! t* b r. f8 I7 E7 e8 b+ T- ~/ d; z | Deviance | 0 B/ d% Q) o( x' ?0 b q- t
数值
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; [5 S9 J* l0 p$ }/ C4 e数值 ; @9 m4 \( a4 C* O
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0 ?6 \1 r+ O/ I2 U9 I; n7 b数值 $ ]: J0 [2 P1 |8 E8 [6 I8 L/ L6 ^
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" ^/ H8 U5 P" `' n) r1 K数值
, O! Y' o: j5 b3 k | Decrease in Deviance |
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k 0 R- P7 R4 E+ e1 g$ 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 | ) {1 [. i- E) ]( \' l ?2 C
Helen,
- H$ K" u# P d, F8 V, 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。+ o4 {& x8 d+ [& H
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。9 |! G, H! A6 a+ v0 n% A6 B
在这个情形下,我会这样模拟:8 Z5 a3 {, r5 q5 D. A
Level 1
; n; _& y& R# X) }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* y2 J/ v: _0 u o4 {5 S' l' k7 [
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)
* i9 L, v- W6 F: ], M& zβ3j=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 ( y( N4 B* v6 I2 Y' p 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 . c" G1 o3 R5 N4 R* K+ @* D# M4 M
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
4 Y" I! Z7 u& l/ W 参数gfile:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif51就是你要的three-way interaction了。 - \- L$ X; c, E6 ?, `% \9 [+ @% G
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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