回复 1楼 helen526 的帖子
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Helen 526,
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) S/ R! |, q$ ?0 r. y; x+ p+ R l你的模型是:6 v% f8 z: a7 a8 Z
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+ ]& j$ p/ T/ W7 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
# A; A% I* g/ |! e& 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 2
! I6 g7 O2 |, {& a/ Iβ0j=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 16 `) y+ k# c# | Y% r
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" n) g$ h. U$ L
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" c' s Q" N% z9 Y
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
* B" A+ G6 l: Z, V5 O! \. 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 i- D+ K- G: g2 P
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 17 G# h# U& h: [- c1 E1 y6 ]
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
: f+ I" @: j& H+ E% 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 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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7 `6 O( e2 s2 r- SModel 1
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Model 2
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. F+ H: ^# B0 L0 H5 ?, b5 S( s2 jModel 3
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Model 4 0 I$ `. w* G' q! Z$ m# g5 i
| Interceptfile:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image004.gif | 8 F6 ^0 X2 P. i$ C
数值
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( D0 E$ Q l1 q$ C, @1 |数值 : ^7 _: {, p. t4 x
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& K4 P9 r, M+ P/ C | Organiztion1 (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif01) |
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3 `; M7 S' N. [- m/ I/ j数值
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数值
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| Age (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif10)
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& H% H/ @9 ~" Q数值 5 I3 p9 `2 Z t7 y. Z
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数值
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数值 5 Y7 v8 W5 s, g/ c0 b3 k
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5 }% R8 M$ A# e0 y x {& p数值 2 ~; r, Y5 d: Z' f9 _0 F
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数值 ; t( \7 n, ^$ ?+ C, u+ s- ^
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2 R/ A/ b7 s' K9 i0 L数值
2 ]7 f2 v0 O z; g5 p | A (file:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif50) | 6 X7 ]. O) k# A2 B( y
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1 p7 Z( C6 U* ~0 D9 t0 _ | Deviance |
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| 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 | 5 v7 y) \5 b$ b5 T5 k( C3 J
Helen,, n( e, H, O9 v! w2 d0 l1 t, w
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。 x3 L$ L8 [/ P. |. x
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" {) ?* i- j. ^$ n
在这个情形下,我会这样模拟:$ @+ ~4 m! m' j, j
Level 1
: x6 I# L9 @: C$ d g, wB 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! M! \% v3 l3 [% T) x1 t- e
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)& o+ O3 S" f& _- O
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 : C/ {1 M, e# m- B0 O2 ?
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 6 @3 R; s# {! Y& |
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
9 O& K: S6 q- }/ _ 参数gfile:///C:/DOCUME%7E1/mnlaw/LOCALS%7E1/Temp/msohtmlclip1/01/clip_image002.gif51就是你要的three-way interaction了。 / ?" z- ~' E/ ^
Kenny
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* H+ e. \/ V# u* R4 F& |3 Hfile:///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 2 S8 D: G( C$ w
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