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        <title>@ND - lab:projects</title>
        <description></description>
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       <dc:date>2026-04-28T19:12:29+00:00</dc:date>
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                <rdf:li rdf:resource="https://nd.psychstat.org/lab/projects/r_codes_for_data_plots_2010-03-12"/>
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    <image rdf:about="https://nd.psychstat.org/_media/wiki/dokuwiki.svg">
        <title>@ND</title>
        <link>https://nd.psychstat.org/</link>
        <url>https://nd.psychstat.org/_media/wiki/dokuwiki.svg</url>
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    <item rdf:about="https://nd.psychstat.org/lab/projects/06box-cox_transformation_for_growth_curve_models">
        <dc:format>text/html</dc:format>
        <dc:date>2016-01-24T14:48:26+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>06box-cox_transformation_for_growth_curve_models</title>
        <link>https://nd.psychstat.org/lab/projects/06box-cox_transformation_for_growth_curve_models</link>
        <description>Box-Cox transformation for growth curve models

Manuscript

Data

	* [NLSY Box-Cox data] 
	*  R codes for data plots (2010-03-12)

Results

Scripts/codes

References</description>
    </item>
    <item rdf:about="https://nd.psychstat.org/lab/projects/08multilevel_mediation_model">
        <dc:format>text/html</dc:format>
        <dc:date>2016-01-24T14:48:26+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>08multilevel_mediation_model</title>
        <link>https://nd.psychstat.org/lab/projects/08multilevel_mediation_model</link>
        <description>Multilevel mediation model

Simple mediation model

	*  Simple mediation model data generation and estimation through re-parameterization

Codes

	*  A working example

Generate multilevel mediation model data


## Simulate multilevel mediation model data

model{
  for (i in 1:n){
      re[i, 1:5]~dmnorm(mure[i, 1:5], pre_cov[1:5,1:5])
      mure[i,1]&lt;-b[1,1]+b[1,2]*w[i]
      mure[i,2]&lt;-b[2,1]+b[2,2]*w[i]
      mure[i,3]&lt;-b[3,1]+b[3,2]*w[i]
      mure[i,4]&lt;-b[4,1]+b[4,2]*w[i]
      mure[i,5]&lt;-b…</description>
    </item>
    <item rdf:about="https://nd.psychstat.org/lab/projects/09mnarselection_model">
        <dc:format>text/html</dc:format>
        <dc:date>2016-01-24T14:48:26+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>09mnarselection_model</title>
        <link>https://nd.psychstat.org/lab/projects/09mnarselection_model</link>
        <description>MNAR selection models

Scripts

	*  Growth curve model as MAR
	*  Growth curve model as MNAR
	*  Regression model as MNAR</description>
    </item>
    <item rdf:about="https://nd.psychstat.org/lab/projects/15auxiliary_variables">
        <dc:format>text/html</dc:format>
        <dc:date>2016-01-24T14:48:26+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>15auxiliary_variables</title>
        <link>https://nd.psychstat.org/lab/projects/15auxiliary_variables</link>
        <description>Normal data (MCAR)


          [,1]       [,2]   [,3]
[1,] 0.0010376 0.01055693 0.1796
[2,] 0.0010274 0.02185791 0.1301
[3,] 0.0000272 0.01532224 0.1451

         bias  MSE power  complete 0.002082 0.01030371 0.174  MLE 0.007537 0.02099279 0.116  Auxiliary</description>
    </item>
    <item rdf:about="https://nd.psychstat.org/lab/projects/16higher_order_invariance">
        <dc:format>text/html</dc:format>
        <dc:date>2016-01-24T14:48:26+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>16higher_order_invariance</title>
        <link>https://nd.psychstat.org/lab/projects/16higher_order_invariance</link>
        <description>manuscript</description>
    </item>
    <item rdf:about="https://nd.psychstat.org/lab/projects/a_working_example">
        <dc:format>text/html</dc:format>
        <dc:date>2016-01-24T14:48:26+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>a_working_example</title>
        <link>https://nd.psychstat.org/lab/projects/a_working_example</link>
        <description>## Estimate a multilevel mediation model
model{
  for (i in 1:n){
      re[i, 1:5]~dmnorm(mure[i, 1:5], pre_cov[1:5,1:5])
      mure[i,1]&lt;-b[1,1]+b[1,2]*w[i]
      mure[i,2]&lt;-b[2,1]+b[2,2]*w[i]
      mure[i,3]&lt;-b[3,1]+b[3,2]*w[i]
      mure[i,4]&lt;-b[4,1]+b[4,2]*w[i]
      mure[i,5]&lt;-b[5,1]+b[5,2]*w[i]

      for (j in 1:mi[i]){
          y[i,j] ~ dnorm(muy[i,j], pre_phi[1])
          muy[i,j]&lt;-re[j,1]+re[j,2]/re[j,3]*m[i,j]+re[j,4]*x[i,j]
          m[i,j] ~ dnorm(mum[i,j], pre_phi[2])
          m…</description>
    </item>
    <item rdf:about="https://nd.psychstat.org/lab/projects/growth_curve_model_as_mar">
        <dc:format>text/html</dc:format>
        <dc:date>2016-01-24T14:48:26+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>growth_curve_model_as_mar</title>
        <link>https://nd.psychstat.org/lab/projects/growth_curve_model_as_mar</link>
        <description>#WinBUGS codes generated by BAUW: http://bauw.psychstat.org
#USE WITH CAUTION!

Model{
  # Model specification for linear growth curve model
  for (i in 1:N){
    LS[i,1:2]~dmnorm(muLS[i,1:2], Inv_cov[1:2,1:2])
    muLS[i,1]&lt;-bL[1]
    muLS[i,2]&lt;-bS[1]
    for (t in 1:5){
      y[i, t] ~ dnorm(muY[i,t], Inv_Sig_e2)
      muY[i,t]&lt;-LS[i,1]+LS[i,2]*t
    }
  }

  #Priors for model parameter
  for (i in 1:1){
    bL[i] ~ dnorm(0, 1.0E-6)
    bS[i] ~ dnorm(0, 1.0E-6)
  }
  Inv_cov[1:2,1:2]~dwish(R[1…</description>
    </item>
    <item rdf:about="https://nd.psychstat.org/lab/projects/growth_curve_model_as_mnar">
        <dc:format>text/html</dc:format>
        <dc:date>2016-01-24T14:48:26+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>growth_curve_model_as_mnar</title>
        <link>https://nd.psychstat.org/lab/projects/growth_curve_model_as_mnar</link>
        <description>#WinBUGS codes generated by BAUW: http://bauw.psychstat.org
#USE WITH CAUTION!

Model{
  # Model specification for linear growth curve model
  for (i in 1:N){
    LS[i,1:2]~dmnorm(muLS[i,1:2], Inv_cov[1:2,1:2])
    muLS[i,1]&lt;-bL[1]
    muLS[i,2]&lt;-bS[1]
    for (t in 1:5){
      y[i, t] ~ dnorm(muY[i,t], Inv_Sig_e2)
      muY[i,t]&lt;-LS[i,1]+LS[i,2]*t
  
      z[i,t]~dnorm(muz[i,t], 1)I(L[i,t], U[i,t])
      muz[i,t]&lt;-b1[t]+b2[t]*y[i,t]

      L[i,t]&lt;- - (1-m[i,t])*1000
     U[i,t]&lt;- m[i,t]*1000

 …</description>
    </item>
    <item rdf:about="https://nd.psychstat.org/lab/projects/r_codes_for_data_plots_2010-03-12">
        <dc:format>text/html</dc:format>
        <dc:date>2016-01-24T14:48:26+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>r_codes_for_data_plots_2010-03-12</title>
        <link>https://nd.psychstat.org/lab/projects/r_codes_for_data_plots_2010-03-12</link>
        <description>## -----------------------------------------------------------------------------------##
## Box-Cox transformation
piat.final&lt;-read.table(&#039;nlsy.white.age12.grade7.txt&#039;, header=T)
dim(piat.final)

## plot of data
plot(2:6, piat.final[1, 2:6], ylim=c(min(piat.final[,2:6], na.rm=T),100), type=&#039;l&#039;)

for (i in 2:194){
	lines(2:6, piat.final[i, 2:6])
	}

## data for box-cox transformation analysis
write.table(piat.final[,2:6], &#039;nlsy.box.cox.txt&#039;, row.names=F, quote=F)

lambda&lt;-seq(-1, -.1, .1)
par(mfr…</description>
    </item>
    <item rdf:about="https://nd.psychstat.org/lab/projects/simple_mediation_model_data_generation_and_estimation_through_re-parameterization">
        <dc:format>text/html</dc:format>
        <dc:date>2016-01-24T14:48:26+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>simple_mediation_model_data_generation_and_estimation_through_re-parameterization</title>
        <link>https://nd.psychstat.org/lab/projects/simple_mediation_model_data_generation_and_estimation_through_re-parameterization</link>
        <description>## data generation
model{
  for (i in 1:n){
    y[i]~dnorm(muy[i], pre_y)
    muy[i]&lt;-iy + b*m[i] + c*x[i]
    m[i]~dnorm(mum[i], pre_m)
    mum[i]&lt;-im + a*x[i]
    x[i]~dnorm(0,1)
  }
}

## population parameter values
list(n=500, iy=0, im=0, a=.39, b=.39, c=0, pre_y=1, pre_m=1)


## parameter estimation
model{
  for (i in 1:n){
    y[i]~dnorm(muy[i], pre_y)
    muy[i]&lt;-iy + b*m[i] + c*x[i]
    m[i]~dnorm(mum[i], pre_m)
    mum[i]&lt;-im + a*x[i]
  }
  iy~dnorm(0, 1.0E-6)
  im~dnorm(0, 1.0E-6)
  a~…</description>
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