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标题: 请教kenny, 关于HLM中控制变量-看了JBP加油的帖子的想法 [打印本页]

作者: helen526    时间: 2011-6-1 18:54
标题: 请教kenny, 关于HLM中控制变量-看了JBP加油的帖子的想法
kenny,
7 Q# F' s* L) C0 E* O/ h; Y% X      看了JBP加油的关于HLM做跨层次调节的帖子,恰好最近也在学习这方面,我尝试写了一个检验三重交互作用的流程(其中,包括个体和组织层面的控制变量),不知是否合适,请您确认一下。如果不正确,请在附件的WORD文档中修改。 等您修改后,这个帖子估计就可以解决不少同学使用HLM做调节的问题。% Z" P' h  ^; J1 i9 y) ^; F
   1、我的主要疑惑也是如何在HLM模型中,体现控制变量/ E. X( c9 m7 h; {
   2、D是个体层面的变量,分析时在level 2,用mean D代替可以吗?" L, W# [. D) D

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作者: helen526    时间: 2011-6-3 15:06
呼叫kenny, 请您确认我写的是否正确哦:)
6 G- N& [% A5 S! T* f# x; i4 v" D也请大家多多提出有异议的地方
作者: Kenneth    时间: 2011-6-12 23:48
回复 1楼 helen526 的帖子2 ]- |" S/ i- d+ s/ T5 S4 [

3 y; N% @2 G6 `) @* ?7 XHelen 526,  i; ~+ o! z1 y: T

) u  V/ V& a- P你的模型是:# S& K- [# H0 Z+ ?/ x" q0 e

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[attach]282347[/attach]
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模型假设1:个体层面,AB有显著的正向影响
假设2CAB之间的关系,具有跨层次的调节作用
假设3DCAB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agesexABD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& A4 {, J+ S& F. b! C% A
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
5 q& @6 G; e- g4 n. X6 C: c& zβ0j=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CD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CD的作用”。请问,这样做可以吗?)
Model 2: 加入预测变量A
Level 1
8 G4 o6 g  f  |7 |/ ~# I! FB 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- }* h: o# }) c
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+U5jfile:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif50表示AB的效应,验证假设1,对吗?
Model 3: 加入所有的二维交互项A*CA*DC*D(验证假设2
Level 1
; @! d: A, S' s$ H( T; \$ [/ MB 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% t" I' ]4 D' 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+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?)
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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CAB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CAB关系的调节作用?)
Model 4: 三重交互作用(验证假设3
Level 1, r+ C* V* X9 f! r6 G
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: |. C( d- R6 q2 X% |( c
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DC\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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  ) N: D! a( V+ k& i$ X4 ^) Y
  

' p$ S3 o7 e0 b" k$ |5 b5 t
Model 1
! J- }8 F; H9 V/ }2 A

/ M' t2 ^6 P/ T4 n7 Z) D
Model 2

6 L( N# q# V5 Y$ p9 o, f
$ {+ g$ n+ j6 h$ u# T
Model 3
8 S& _, H; P! X' z

7 Z; x. C9 r" D2 E$ F+ S/ N
Model 4
3 o% c6 F+ R7 i/ }% L: K4 ?4 z7 K
  
Interceptfile:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image004.gif
  
8 a" t7 F" a9 E3 \9 f/ o- l0 e' e
数值
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* f% ?) H1 }+ ^" [, y' p+ f/ O
数值

; R" h& C6 [: X% w0 Q
7 p3 n& T: I. i8 Z/ g" b8 U
数值
5 s7 g: Q. E4 L- z5 a

- y# k1 ]0 D+ Z8 z  S: ~
数值
/ m4 S* x- R- i+ a# W0 Y
  
control variables
  

0 Z: j$ ^0 P+ [; D" `

8 g" f- G, G8 P1 w0 C

1 l$ y6 C2 ^9 [; g6 I

, W  a/ b1 ^6 \  H4 G
  
Organiztion1 (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif01)
  
& f; t/ f7 i& v7 Q, L
数值
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. m5 D* O1 u4 q  G8 p3 _) Y. u! L5 J! [
数值
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2 o3 Y# f' {# E7 @
数值
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0 k, q  ?8 v0 s1 l: I
数值

. H; d) E: y- D# G. F) s
  
Organiztion2 (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif02)
  

5 S/ e0 A" B) d4 J8 b1 L+ G
数值

3 J: Z0 O- w" b, q5 Y
5 m! j! ~9 N' a! D4 l8 r5 k& u
数值
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, b, D: d6 h# f* Q! M
数值
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. u' q  [/ b4 g/ ^$ O9 k( A
数值

2 C  C2 v, q2 W$ W( |& s( t
  
Age (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif10)
9 |1 ]( v8 X5 k6 g. v: ~$ {
  

' p- C% l, |# e" ~0 z" w
数值
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0 D- f% _3 Y# m( d! m# I
数值

6 E7 @  `: r& c+ ?- y9 I' h: d8 k' n
) |5 o* O: S4 b4 M0 W: l, t
数值
5 j- e0 B* M0 K  E  r; w' p- {3 w
0 Z$ J% f! L2 s/ B* @% ]' a4 f" B( f
数值

/ J* B: }) E, L- L; e- {5 d
  
Sex (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif20)
  

" {% j" {$ Z4 s
数值

5 j) e; K2 Z* O' l' n% E! l8 |

9 P; n1 _% _9 J' Y+ p' K) H0 X% o( G0 }% Z
数值

: w+ ?& c/ I* n* f+ {4 w  ?. t* T2 |

/ L6 Y& p9 V+ J$ V5 g. ]5 E
数值
5 W/ f$ [% u. @& w0 X

  E: t" B+ e3 N- @% m- Q
数值

) b$ o; ?* k1 V$ x
  
C(file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif30)
  

3 M2 e  e9 o2 b- q+ i
数值

/ {" {! l- Y& ^9 B2 v- r

9 q' G9 m) G3 d& j, L$ I
数值

, y& k9 I# V% v; h

; N" Q+ J' _, e2 f. E
数值

2 G. S- P# V) O) O' y
: J/ M9 P; Y- P
数值

- g" n; v% ?0 C, j
  
D (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif40)
  
5 S3 s2 j! @0 T2 p& Y9 F
数值
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4 A# [( K" A8 C6 X% u
数值
, E! r, L% f: i  O
- L! D5 D0 u: ~. h: P- r4 G6 M
数值

1 v1 b0 L: p* q/ y8 c

9 t) A! O5 m, H1 R& p
数值

7 I- }1 m% R( y+ [. [/ [+ O
  
A (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif50)
  
6 ]9 [: V+ o9 s/ b6 i
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数值
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5 Y# e1 C1 _! G* Q' A  F6 X: X
数值
7 J: G6 p4 G- h# {" B/ K4 }. N% N

& T5 n8 d/ B) R, f* P. ]
数值
3 s6 j- O$ {3 n
  
A*C(file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif60)
  

) k2 d) z2 ?/ N+ |% W6 R/ _$ `
. ?' \" d; S9 R; O! i, }
' h3 z' [( a/ N. {
数值

* p1 M+ u! s  S0 t3 J3 U6 Z
8 B" w4 C$ S' `0 ]  q3 C
数值
$ k, e2 c0 o* {1 \; |% _+ E+ A' {# Y
  
A*D(file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif70)
  
* o) h# r1 w! ^
! N. M% l5 ^( w& \( T( U

6 y- G' O% K4 r
数值

  W0 u% f$ T& `. R# S4 }; I

7 y. D- h1 J! F
数值

% ~* k1 w; F6 b7 P
  
C*D(file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif80)
  
- h! Q8 H. M( S7 O9 g
8 P  M3 ?9 _: a& s9 K

( [1 k% z0 {- a0 u2 b& j
数值

- F3 N. o8 W1 H+ s
0 n) b- S8 C4 Y% ~
数值

& J7 y9 F) }5 q, _& @$ i+ z/ [  ^5 k( ^
  
A*C*D(file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif90)
  
. M9 T! s2 N7 v1 K$ F

' J( y7 v, t! T  S, S
# V1 {2 y. Y% s5 s- }" t( h% J2 F! I

1 D" ]" {4 F4 o2 p* Z
数值

1 }5 H3 g/ T; Q2 u9 k; v3 u) J
  - t9 T) a4 a; g( J0 O
  
  D: i$ A  s* d8 x' l! H- `

3 i/ L$ u, P; I* X+ r0 N

! \6 W  \% K. d% O% l

+ W% {# I6 e9 V( ]
  
X2
  
# |" @' Y9 a, z) |, ~
数值
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8 s- k+ H# L( {7 U1 m0 Q
数值
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/ s5 U% b1 M3 l( T# c. h! y: U( o
数值

5 z& K" c( A' L' ]( ~0 l- c" r

: B: m  w; @6 ]1 ?3 j, b% ^0 R
数值

! _3 N8 n, \% A9 p; R
  
Deviance
  

, v# A: p* X3 O6 h# ]& q  t
数值

6 j. q9 B. p' ~' ^; P4 a* E0 |& H' N5 Z
0 O" ^8 _0 ?0 g
数值
1 e+ ?0 t& S  \! M
+ _% Y- }" J) a! T; ~5 s
数值
3 O6 C- |4 k; E: p: T% b5 Z

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数值
- N. F, V6 e1 v5 b1 W; t9 j
  
Decrease in Deviance
  
3 E; ?) t( A  u4 o8 [
m

% f/ Q' X# b* ~7 x, o

0 P  k. z7 x9 N
n
" A$ e: p" p- k: h! M

6 ?1 A6 s: Z) ^8 u$ v- K. a& m
l
2 e8 Z/ W: M$ x) X4 m0 `* R" p! [8 s
5 [- u) B" K( k5 _" ?. k0 ]
k
  j% O: B2 S  K& `$ z1 d9 O
  
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
  
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Helen,4 h' M, m2 Q# I, o9 k
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。1 h- F7 z4 @, g; @! f9 X
凡是一个
层阶的变量影响(或是调节)一个低层阶的变量,就表示这个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。
! f, R( L; o% Q' n! |3 _. w在这个情形下,我会这样模拟:% Y& y' B3 G2 _* e" u9 X
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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
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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)' }6 _( o3 S$ W: H% {
β3j=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 * ^5 O& I9 o: }* ^; a( h
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
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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 , `. H% t% w6 j/ E) r  {+ E
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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Kenny; y  o% Z# f+ g( F% J

4 ~: }- F9 L& r$ |3 s: k4 rfile:///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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