回复 1楼 helen526 的帖子
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Helen 526,, _+ W$ S) [ o# T' s" k* E
7 ~4 l/ S; v) @. y/ L% b' o7 w你的模型是:! b) G+ b9 f4 n- n! q+ \) |
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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
8 M5 n m7 Z' G9 O4 W6 Y$ sB ij=β0j+β1j(age)+ β2j(sex)+ β3j(C) + β4j(D) +file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gifij Level 26 z8 N( x5 S; ]" s, |
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( L b) r/ O2 Q5 V
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
$ d+ }8 z( j% T8 ~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! [: o; ]. p, b- N
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
# Y0 a" G7 ~! [) m7 c$ B* wβ0j=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?)
8 o0 C+ I' |1 | 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; o7 W' `- j' ]3 w3 u# W. w( bB 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 25 M' c Y" ?) B. A; Q8 z: M, 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+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?7 w$ O# U" b* O3 c* R! @5 l
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Model 1
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Model 2
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Model 3
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| Interceptfile:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image004.gif |
1 y, j) P2 E% x) g# R数值
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数值
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% L4 L' D$ G' `: {+ ]; P1 o3 j数值 5 Y+ W$ Z; u A, {
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数值 , ~, B7 W Z, I' F0 {" n
| control variables | ( U3 |- ~: E; v( w, L9 O
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8 a, z2 m( R3 b. o: R) q7 C | Organiztion1 (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif01) | , n, a: g. O2 n; H& g/ T) i
数值
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数值
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数值
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! v% O- y7 `, }: q) C | Organiztion2 (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif02) | 3 c: t% ^* I, n) F8 |: n
数值 - J5 x& R% h) V0 Y6 j2 m( `: e% n
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数值
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& ]3 }9 s7 ?& Y$ P0 d数值
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; G, {2 J, ~2 o, g5 u数值 # ]' Y- O2 U& y/ f: K
| Age (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif10)% |2 |0 H: s7 c8 `& k8 j1 |
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数值 : A# h* n% y- B* k
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. @* o2 t1 [2 V! i数值 2 F0 n5 ~: L2 y
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数值 4 w" H- v2 K0 F
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数值 / M2 B' f2 M$ W/ g
| Sex (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif20) |
: S8 _* \- S( J& I2 {9 w) d3 }; p7 _数值
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3 }7 i7 \" c- A t8 X+ h% _数值
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数值
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$ `8 o; Y- W( x# O8 t$ M7 G( ~+ E: |数值 ; v8 s# F, N. y- F
| C(file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif30) |
7 l. I, f, U7 T6 M8 q* S数值 1 U' A" z" b' U' H
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5 n% b/ U8 h1 b5 b9 b9 @" ` O6 C- }# y# d数值
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| D (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif40) |
6 u' J4 w l$ J1 h) e' d数值
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数值 7 g `+ L, v9 V) X% o! d& x9 [
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3 ]( R$ P$ c' x; ]) \9 L数值 , t3 w1 w* J. o- C7 A0 ^- J/ b
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* l$ n; c6 N! E5 g+ L% r% `& I" c5 I# G数值 7 z* K% e% }: q* H: M
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7 N, I# `- z! u z数值
: i# X% t0 ~5 q: `8 { | A*C(file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif60) |
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1 X2 o: R: F& M! p数值 4 h0 l$ j R! u" U; H& O [
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" W1 W; Y1 c/ Q9 _8 ]' i数值
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* Z: c; z: t9 a) D数值
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数值 ) P; ~, e3 T6 R2 R% s, J* q
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) S' K6 J2 D: j+ V; e {$ u数值
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7 H( e8 v2 m3 D( L* ~4 W3 F" Z数值
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% i5 R/ _* J8 c数值 4 f% {0 d8 ?) m, a$ G5 C' i* z
| Deviance | 7 Y0 g7 X% H- j8 O0 B
数值 8 E8 L' x) |5 \& R/ ]6 M; H
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" @, o8 S" p, ~# U& e7 ]数值
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| 0 E% D; b. D. m/ k& r
数值
6 U7 l4 g% s4 C( d | Decrease in Deviance |
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k 3 d' W, y' }5 q6 [! p. |
| 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 |
' w4 y0 C! j4 H+ L$ a# V4 h( ?Helen,
' n0 i! b% N) q6 ~6 z3 v3 B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。) n2 X m% g8 D4 k+ K* L& L
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。
- A$ l" B( r, M; x5 s" a3 r9 I' a在这个情形下,我会这样模拟:
4 D, P7 D* Z* B9 {+ A, z) xLevel 11 e# J- Y9 X0 k$ \* Y m1 @/ W
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
- @- a% i5 g" C8 V7 ^7 Fβ0j=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)
$ h& B+ o: E' M: _+ Xβ3j=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
/ f' Q% z6 `* e( [, Q! u 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
! Q" G& K9 ~$ B9 I6 O% Y% |4 g 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 - E+ a+ J( x+ B$ p
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 z- I* f- y& fKenny
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' y% P7 Z3 c1 A% Q' N$ Wfile:///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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