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805 lines
25 KiB
Plaintext
805 lines
25 KiB
Plaintext
9 months ago
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*! version 3.5 May 16, 2013
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*! Jean-Benoit Hardouin
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************************************************************************************************************
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* Simirt: Simulation of dichotomous or polytomous data following an IRT model (Rasch model,
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* OPLM, Birnbaum model, 3-PLM, 4-PLM, 5-PAM, RSM,PCM)
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*
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* Version 1 : May 9, 2005 (Jean-Benoit Hardouin)
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* Version 1.1 : December 8, 2005 (Jean-Benoit Hardouin) /*group and deltagroup options*/
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* Version 2 : January 20, 2006 (Jean-Benoit Hardouin) /*Rating Scale model*/
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* Version 2.1 : Februar 2, 2006 (Jean-Benoit Hardouin) /*Threshold variables*/
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* Version 2.2 : Februar 8, 2006 (Jean-Benoit Hardouin) /*Correction of an error with the RSM model*/
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* Version 2.3 : October 22, 2006 (Jean-Benoit Hardouin) /*The "real" rating scale model*/
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* Version 2.4 : July 7, 2008 (Jean-Benoit Hardouin) /*Title for the graphs*/
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* Version 3 : October 14, 2008 (Jean-Benoit Hardouin) /*3 dimensions + correction for the mu vector*/
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* Version 3.1 : December 11, 2008 (Jean-Benoit Hardouin) /*remove an useless output*/
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* Version 3.2 : November 26, 2009 (Jean-Benoit Hardouin) /*covmatrix option*/
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* Version 3.3 : October 25, 2011 (Jean-Benoit Hardouin) /*pcm option*/
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* Version 3.4 : May 7, 2013 (Jean-Benoit Hardouin) /*Minor corrections, norandom option*/
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* Version 3.5 : May 16, 2013 (Jean-Benoit Hardouin) /*Minor corrections*/
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*
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* Jean-benoit Hardouin, phD, Assistant Professor
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* Team of Biostatistics, Pharmacoepidemiology and Subjective Measures in Health Sciences (UPRES EA 4275 SPHERE)
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* University of Nantes - Faculty of Pharmaceutical Sciences
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* France
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* jean-benoit.hardouin@univ-nantes.fr
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*
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* News about this program : http://www.anaqol.org
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*
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* Copyright 2005-2006, 2008-2009, 2011, 2013 Jean-Benoit Hardouin
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*
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* This program is free software; you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation; either version 2 of the License, or
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* (at your option) any later version.
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*
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with this program; if not, write to the Free Software
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* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
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************************************************************************************************************/
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program define simirt , rclass
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version 8.0
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syntax [, NBObs(integer 2000) Dim(string) MU(string) COV(string) COVMatrix(string) DISc(string) DIFf(string) PMIN(string) PMAX(string) ACC(string) clear STOre(string) REPlace PREFix(string) DRAW GRoup(real 0) noRANDom DELtagroup(real 0) rsm1(string) rsm2(string) THReshold TITle(string) PCM(string) id(string)]
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/********************************************************************************
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TESTS
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********************************************************************************/
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if `group'<0|`group'>1 {
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di in red "{p}The {hi:group} option defines a probability. The values defined by this option must be greater (or equal) to 0 and lesser (or equal) to 1.{p_end}"
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error 198
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exit
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}
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if "`clear'"==""&"`store'"=="" {
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di in red "You must use at least one of these two options: clear and/or store."
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error 198
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exit
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}
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if "`dim'"!="" {
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local nbdim:word count `dim'
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if `nbdim'>2&"`covmatrix'"=="" {
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di in red "You can simulate data with one or two dimensions, and you have indicated `nbdim' dimensions in the {hi:dim} option. Please correct it."
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error 198
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exit
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}
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if "`covmatrix'"!="" {
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local nbrowcovm=rowsof(`covmatrix')
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if `nbdim'!=`nbrowcovm' {
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di in red "{p 0 0 0}You define `nbdim' dimension(s) with the {cmd:dim} option and `nbrowcovm' dimension(s) with the {cmd:covmatrix} option. Please correct that."
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error 198
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exit
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}
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}
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local nbitems=0
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forvalues d=1/`nbdim' {
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local dim`d':word `d' of `dim'
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local nbitems=`nbitems'+`dim`d''
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}
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local dim=`nbdim'
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if "`diff'"!="" {
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local nbdiff:word count `diff'
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local tmp:word 1 of `diff'
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if "`tmp'"=="gauss"|"`tmp'"=="uniform" {
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local typediff values
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}
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else if `nbdiff'!=`nbitems' {
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di in red "You have indicated a number of difficulty parameters ({hi:diff} option) different of the number of items to simulate ({hi:dim} option). Please correct these options."
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error 198
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exit
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}
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}
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else if "`diff'"=="" {
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local diff gauss
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forvalues d=1/`dim' {
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local diff `diff' 0 1
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}
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local typediff gauss
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local nbdiff:word count `diff'
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}
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}
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else if "`dim'"==""{
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if "`diff'"==""&"`pcm'"=="" {
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di in red "{p 0 0 0}You must indicate the number of items to simulate with the {hi:dim}, the {hi:pcm} or the {hi:diff} option(s)."
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error 198
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exit
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}
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else if "`covmatrix'"!= "" {
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local nbrowcovm=rowsof(`covmatrix')
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if `nbrowcovm'>1 {
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di in red "{p 0 0 0}You have define `nbrowcovm' dimensions with the {hi:covmatrix} option, but you do not affect each item to a specific dimension using the {hi:dim} option. Please define the {hi:dim} option."
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error 198
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exit
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}
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}
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else if "`pcm'"!="" {
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local nbitems=rowsof(`pcm')
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local dim=1
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local dim1=`nbitems'
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}
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else {
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local nbdiff:word count `diff'
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local nbitems=`nbdiff'
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local dim=1
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local dim1=`nbitems'
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}
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}
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if (`group'!=0|`deltagroup'!=0)&`dim'!=1 {
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di in red "The {hi:group} and the {hi:deltagroup} options are available only with unidimensional simulated data."
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error 198
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exit
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}
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if "`prefix'"=="" {
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local prefix item
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}
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local nbprefix:word count `prefix'
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if `nbprefix'!=`dim'&`nbprefix'!=1 {
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di in red "{p 0 0 0}The {hi:prefix} option is incorrect because the number of defined prefixes (`nbprefix') is different of the number of dimensions (`dim'). Please correct it."
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error 198
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exit
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}
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if `nbprefix'==`dim' {
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forvalues d=1/`dim' {
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local prefix`d':word `d' of `prefix'
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}
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}
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else {
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forvalues d=1/`dim' {
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local tmp:word `d' of A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
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local prefix`d' `prefix'`tmp'
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}
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}
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*set trace on
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if "`covmatrix'"=="" {
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local nbcov:word count `cov'
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if `dim'==1&`nbcov'>1 {
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di in red "You simulate one dimension. You must indicate only the variance of the simulated latent trait in the {hi:cov} option."
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error 198
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exit
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}
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else if `dim'==2&`nbcov'!=3&`nbcov'>0 {
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di in red "You simulate two dimensions. You must indicate exactly 3 values in the {hi:cov} option (Variance of the first simulated latent trait, Variance of the second simulated latent trait, Covariance between the two simulated latent traits)."
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error 198
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exit
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}
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else if `nbcov'==0 {
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if `dim'==1 {
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local cov "1"
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}
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else if `dim'==2 {
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local cov "1 1 0"
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}
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local nbcov:word count `cov'
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}
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if `nbcov'==1 {
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if `cov'<0 {
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di in red "The variance of your latent trait can not be negative. Please correct your {hi:cov} option."
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error 198
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}
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}
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else if `nbcov'==3 {
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local cov1:word 1 of `cov'
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local cov2:word 2 of `cov'
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local cov3:word 3 of `cov'
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local rho=`cov3'/sqrt(`cov1'*`cov2')
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if `cov1'<0|`cov2'<0|`rho'<-1|`rho'>1 {
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di in red "Your covariance matrix defined by the {hi:cov} option is not correct. Please correct it."
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error 198
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exit
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}
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}
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tempname covmatrix2
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if `dim'==1 {
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matrix `covmatrix2'=(`cov')
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}
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else if `dim'==2 {
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matrix `covmatrix2'=(`cov1' , `cov3' \ `cov3' , `cov2')
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}
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local covmatrix `covmatrix2'
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*matrix list `covmatrix2'
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}
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local nbmu:word count `mu'
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if `nbmu'!=`dim'&`nbmu'!=0 {
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di in red "You must indicate as many values in the {hi:mu} option as the number of dimension(s) (`dim')"
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error 198
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exit
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}
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local nbdisc:word count `disc'
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if `nbdisc'!=`nbitems'&`nbdisc'!=0 {
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di in red "You must indicate as many values in the {hi:disc} option as items defined by the {hi:dim} and the {hi:diff} options (`nbitems')"
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error 198
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exit
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}
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local nbpmin:word count `pmin'
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if `nbpmin'!=`nbitems'&`nbpmin'!=0 {
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di in red "You must indicate as many values in the {hi:pmin} option as items defined by the {hi:dim} and the {hi:diff} options (`nbitems')"
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error 198
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exit
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}
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local nbpmax:word count `pmax'
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if `nbpmax'!=`nbitems'&`nbpmax'!=0 {
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di in red "You must indicate as many values in the {hi:pmax} option as items defined by the {hi:dim} and the {hi:diff} options (`nbitems')"
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error 198
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exit
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}
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local nbacc:word count `acc'
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if `nbacc'!=`nbitems'&`nbacc'!=0 {
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di in red "You must indicate as many values in the {hi:acc} option as items defined by the {hi:dim} and the {hi:diff} options (`nbitems')"
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error 198
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exit
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}
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if ("`threshold'"!="")&("`disc'"!=""|"`pmin'"!=""|"`pmax'"!=""|"`acc'"!="") {
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di in red "If you use the {hi:threshold} option, you cannot define the {hi:disc}, {hi:pmin}, {hi:pmax} or {hi:acc} options"
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error 198
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exit
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}
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if ("`rsm1'"!=""|"`rsm2'"!="")&("`disc'"!=""|"`pmin'"!=""|"`pmax'"!=""|"`acc'"!="") {
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di in red "If you use the {hi:rsm1} and/or {hi:rsm2} option(s), you cannot define the {hi:disc}, {hi:pmin}, {hi:pmax} or {hi:acc} options"
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error 198
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exit
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}
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if "`rsm2'"!=""&`dim'==1 {
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di in red "You cannot define the {hi:rsm2} option if you simulate only one dimension"
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error 198
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exit
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}
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if "`id'"=="" {
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local id="id"
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}
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preserve
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tempfile saveraschbin
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capture qui save `saveraschbin'
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/********************************************************************************
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PARAMETERS
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********************************************************************************/
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local hour=real(substr("$S_TIME",1,2))
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local min=real(substr("$S_TIME",4,2))
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local sec=real(substr("$S_TIME",7,2))
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local jour=real(substr("$S_DATE",1,2))
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if "$seed"!="" {
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global seed2=int($seed)
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}
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else {
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global seed2=0
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}
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global seed=$seed2+256484+`sec'*1000000+`min'*10000+`hour'*100+`jour'
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while $seed>2^31-1 {
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global seed=int($seed/231)
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}
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qui set seed $seed
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if "`typediff'"=="uniform" {
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if `nbdiff'==`=`dim'*2+1' {
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local min`d':word `=(`d'-1)*2+2' of `diff'
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local max`d':word `=(`d'-1)*2+3' of `diff'
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}
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else if `nbdiff'==1 {
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local min`d'=-2
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local max`d'=2
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}
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else {
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di in red "Your {hi:diff} option is uncorrect. Please correct it."
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exit
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}
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local diff
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forvalues d=1/`dim' {
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forvalues i=1/`dim`d'' {
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local diff `diff' `=`min`d''+(`max`d''-`min`d'')*`i'/(`dim`d''+1)'
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}
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}
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}
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*set trace on
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if "`typediff'"=="gauss" {
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if `nbdiff'==`=`dim'*2+1' {
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forvalues d=1/`dim' {
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local mean`d':word `=(`d'-1)*2+2' of `diff'
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local var`d':word `=(`d'-1)*2+3' of `diff'
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}
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}
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else if `nbdiff'==1 {
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forvalues d=1/`dim' {
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local mean`d'=0
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local var`d'=1
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}
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}
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else {
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di in red "Your {hi:diff} option is uncorrect. Please correct it."
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error 198
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exit
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}
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local diff
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forvalues d=1/`dim' {
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forvalues i=1/`dim`d'' {
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local tmp=invnorm(`i'/(`dim`d''+1))*sqrt(`var`d'')+`mean`d''
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local diff `diff' `tmp'
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}
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}
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}
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||
|
|
*set trace off
|
||
|
|
|
||
|
|
forvalues d=1/`dim' {
|
||
|
|
if "`rsm`d''"!="" {
|
||
|
|
local nbrsm`d':word count `rsm`d''
|
||
|
|
forvalues i=2/`=`nbrsm`d''+1' {
|
||
|
|
local rsm`d'`i':word `=`i'-1' of `rsm`d''
|
||
|
|
if "`threshold'"!=""&`rsm`d'`i''<0 {
|
||
|
|
di in red "With the {hi:threshold} option, the numbers defined in the {hi:rsm1} and {hi:rsm2} options must be positive."
|
||
|
|
error 198
|
||
|
|
exit
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
if "`pcm'"!="" {
|
||
|
|
local nbmodas=colsof(`pcm')
|
||
|
|
forvalues j=1/`nbitems' {
|
||
|
|
local pcmpj`j'k0=-999999999999999
|
||
|
|
forvalues k=1/`nbmodas' {
|
||
|
|
local pcmpj`j'k`k'=`pcm'[`j',`k']
|
||
|
|
local tmp=`k'-1
|
||
|
|
if "`threshold'"!=""&`pcmpj`j'k`k''<`pcmpj`j'k`tmp'' {
|
||
|
|
di in red "With the {hi:threshold} option, the difficulties of a given item must increase."
|
||
|
|
error 198
|
||
|
|
exit
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
tempname matmu matcov matdiff matdisc matpmin matpmax matacc
|
||
|
|
matrix define `matdiff'=J(`nbitems',1,0)
|
||
|
|
matrix define `matdisc'=J(`nbitems',1,0)
|
||
|
|
matrix define `matpmin'=J(`nbitems',1,0)
|
||
|
|
matrix define `matpmax'=J(`nbitems',1,0)
|
||
|
|
matrix define `matacc'=J(`nbitems',1,0)
|
||
|
|
matrix define `matmu'=J(`dim',1,0)
|
||
|
|
matrix define `matcov'=J(`=(`dim'+1)*`dim'/2',1,0)
|
||
|
|
|
||
|
|
if "`pcm'"=="" {
|
||
|
|
forvalues i=1/`nbitems' {
|
||
|
|
local tmp:word `i' of `diff'
|
||
|
|
matrix `matdiff'[`i',1]=`tmp'
|
||
|
|
if `nbdisc'!=0 {
|
||
|
|
local tmp:word `i' of `disc'
|
||
|
|
matrix `matdisc'[`i',1]=`tmp'
|
||
|
|
}
|
||
|
|
else {
|
||
|
|
matrix `matdisc'[`i',1]=1
|
||
|
|
}
|
||
|
|
if `nbpmin'!=0 {
|
||
|
|
local tmp:word `i' of `pmin'
|
||
|
|
matrix `matpmin'[`i',1]=`tmp'
|
||
|
|
}
|
||
|
|
else {
|
||
|
|
matrix `matpmin'[`i',1]=0
|
||
|
|
}
|
||
|
|
if `nbpmax'!=0 {
|
||
|
|
local tmp:word `i' of `pmax'
|
||
|
|
matrix `matpmax'[`i',1]=`tmp'
|
||
|
|
}
|
||
|
|
else {
|
||
|
|
matrix `matpmax'[`i',1]=1
|
||
|
|
}
|
||
|
|
if `nbacc'!=0 {
|
||
|
|
local tmp:word `i' of `acc'
|
||
|
|
matrix `matacc'[`i',1]=`tmp'
|
||
|
|
}
|
||
|
|
else {
|
||
|
|
matrix `matacc'[`i',1]=1
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
if "`covmatrix'"=="" {
|
||
|
|
if `nbcov'==3|`nbcov'==1 {
|
||
|
|
local tmp:word 1 of `cov'
|
||
|
|
matrix `matcov'[1,1]=`tmp'
|
||
|
|
if `nbcov'==3&`dim'==2 {
|
||
|
|
local tmp:word 2 of `cov'
|
||
|
|
matrix `matcov'[2,1]=`tmp'
|
||
|
|
local tmp:word 3 of `cov'
|
||
|
|
matrix `matcov'[3,1]=`tmp'
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else if 6==9{
|
||
|
|
matrix `matcov'[1,1]=1
|
||
|
|
if `dim'==2 {
|
||
|
|
matrix `matcov'[2,1]=1
|
||
|
|
matrix `matcov'[3,1]=0
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else if "`covmatrix'"!="" {
|
||
|
|
matrix `matcov'=`covmatrix'
|
||
|
|
}
|
||
|
|
if (`nbmu'==`dim') {
|
||
|
|
* local tmp:word 1 of `mu'
|
||
|
|
* matrix `matmu'[1,1]=`tmp'
|
||
|
|
forvalues d=1/`dim' {
|
||
|
|
local tmp:word `d' of `mu'
|
||
|
|
matrix `matmu'[`d',1]=`tmp'
|
||
|
|
}
|
||
|
|
* if `dim'>1 {
|
||
|
|
* local tmp:word 2 of `mu'
|
||
|
|
* matrix `matmu'[2,1]=`tmp'
|
||
|
|
* }
|
||
|
|
}
|
||
|
|
if `dim'==2 {
|
||
|
|
local corr=`matcov'[3,1]/sqrt(`matcov'[1,1]*`matcov'[2,1])
|
||
|
|
}
|
||
|
|
|
||
|
|
/********************************************************************************
|
||
|
|
ITEMS CHARACTERISTIC CURVES
|
||
|
|
********************************************************************************/
|
||
|
|
|
||
|
|
|
||
|
|
if "`draw'"!="" {
|
||
|
|
*set trace on
|
||
|
|
drop _all
|
||
|
|
qui set obs 2001
|
||
|
|
qui gen lt1=_n
|
||
|
|
qui replace lt1=(lt1-1001)/1000*4*sqrt(`covmatrix'[1,1])+`matmu'[1,1]
|
||
|
|
label variable lt1 "Latent trait"
|
||
|
|
local dess
|
||
|
|
|
||
|
|
|
||
|
|
if "`rsm1'"==""&"`pcm'"=="" {
|
||
|
|
if "`title'"=="" {
|
||
|
|
local title2="Item Characteristics Curves of the items"
|
||
|
|
}
|
||
|
|
else {
|
||
|
|
local title2="`title'"
|
||
|
|
}
|
||
|
|
forvalues i=1/`dim1' {
|
||
|
|
if "`threshold'"=="" {
|
||
|
|
qui gen `prefix1'`i'=`matpmin'[`i',1]+(`matpmax'[`i',1]-`matpmin'[`i',1])*(1/(1+exp(-`matdisc'[`i',1]*(lt1-`matdiff'[`i',1]))))^(`matacc'[`i',1])
|
||
|
|
}
|
||
|
|
else {
|
||
|
|
qui gen `prefix1'`i'=lt1>`matdiff'[`i',1]
|
||
|
|
}
|
||
|
|
local dess `dess' (line `prefix'`i' lt1)
|
||
|
|
}
|
||
|
|
graph twoway `dess' , ylabel(0(.25)1) legend(off) ytitle("Probability of a positive response" title"") title("`title2'")
|
||
|
|
}
|
||
|
|
else if "`pcm'"==""{
|
||
|
|
forvalues i=1/`dim1' {
|
||
|
|
if "`title'"=="" {
|
||
|
|
local title2="Item `i'"
|
||
|
|
}
|
||
|
|
else {
|
||
|
|
local title2="`title'"
|
||
|
|
}
|
||
|
|
local dess
|
||
|
|
local tau0=0
|
||
|
|
local tau1=`matdiff'[`i',1]
|
||
|
|
local D "1+exp(lt`d'-`tau1')"
|
||
|
|
forvalues k=2/`=`nbrsm1'+1' {
|
||
|
|
local tau`k'=`tau`=`k'-1''+`matdiff'[`i',1]+`rsm1`k''
|
||
|
|
local D "`D'+exp(`k'*lt1-`tau`k'') "
|
||
|
|
}
|
||
|
|
forvalues k=`=`nbrsm1'+1'(-1)0 {
|
||
|
|
tempname prob`k'
|
||
|
|
qui gen `prob`k''=exp(`k'*lt1-`tau`k'')/(`D')
|
||
|
|
local dess `dess' (line `prob`k'' lt1)
|
||
|
|
label variable `prob`k'' "`k'"
|
||
|
|
}
|
||
|
|
graph twoway `dess' , ylabel(0(.25)1) legend(on) ytitle("Probability of response to each modality") title("`title2'") name(item`i',replace)
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else if "`pcm'"!=""{
|
||
|
|
forvalues j=1/`dim1' {
|
||
|
|
if "`title'"=="" {
|
||
|
|
local title2="Item `j'"
|
||
|
|
}
|
||
|
|
else {
|
||
|
|
local title2="`title'"
|
||
|
|
}
|
||
|
|
local dess
|
||
|
|
local tauj`j'k0=0
|
||
|
|
forvalues k=1/`nbmodas' {
|
||
|
|
local tauj`j'k`k'=`tauj`j'k`=`k'-1''+`matdiff'[`j',`k']
|
||
|
|
local D "`D'+exp(`k'*lt1-`tauj`j'k`k'') "
|
||
|
|
}
|
||
|
|
forvalues k=`=`nbrsm1'+1'(-1)0 {
|
||
|
|
tempname prob`k'
|
||
|
|
qui gen `prob`k''=exp(`k'*lt1-`tauj`j'k`k'')/(`D')
|
||
|
|
local dess `dess' (line `prob`k'' lt1)
|
||
|
|
label variable `prob`k'' "`k'"
|
||
|
|
}
|
||
|
|
graph twoway `dess' , ylabel(0(.25)1) legend(on) ytitle("Probability of response to each modality") title("`title2'") name(item`i',replace)
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
/********************************************************************************
|
||
|
|
SIMULATION
|
||
|
|
********************************************************************************/
|
||
|
|
|
||
|
|
|
||
|
|
drop _all
|
||
|
|
qui set obs `nbobs'
|
||
|
|
gen `id'=_n
|
||
|
|
local names
|
||
|
|
forvalues d=1/`dim' {
|
||
|
|
qui gen x`d'=invnorm(uniform())
|
||
|
|
qui compress
|
||
|
|
local names `names' lt`d'
|
||
|
|
}
|
||
|
|
/*mkmat lt1-lt`dim' , matrix(lt)
|
||
|
|
matrix Chol=cholesky(corr(`covmatrix'))
|
||
|
|
*matrix list lt
|
||
|
|
*matrix list Chol
|
||
|
|
matrix lt=lt*Chol'
|
||
|
|
matrix colnames lt=`names'
|
||
|
|
|
||
|
|
*matrix list lt
|
||
|
|
drop _all
|
||
|
|
qui svmat lt*/
|
||
|
|
|
||
|
|
matrix Chol=cholesky(corr(`covmatrix'))
|
||
|
|
forvalues d=1/`dim' {
|
||
|
|
qui gen lt`d'=0
|
||
|
|
forvalues i=1/`d' {
|
||
|
|
qui replace lt`d'=lt`d'+Chol[`d',`i']*x`i'
|
||
|
|
}
|
||
|
|
qui compress
|
||
|
|
}
|
||
|
|
qui drop x*
|
||
|
|
forvalues d=1/`dim' {
|
||
|
|
qui replace lt`d'=lt`d'*sqrt(`covmatrix'[`d',`d'])+`matmu'[`d',1]
|
||
|
|
qui compress
|
||
|
|
}
|
||
|
|
|
||
|
|
if `dim'==1&`group'!=0 {
|
||
|
|
if "`random'"=="" {
|
||
|
|
qui gen group=uniform()<`group'
|
||
|
|
}
|
||
|
|
else {
|
||
|
|
qui gen group=`id'<=`group'*`nbobs'
|
||
|
|
}
|
||
|
|
qui replace lt1=lt1+`deltagroup'*(1-`group') if group==1
|
||
|
|
qui replace lt1=lt1-`deltagroup'*`group' if group==0
|
||
|
|
qui compress
|
||
|
|
}
|
||
|
|
|
||
|
|
di in gr "Number of individuals: " in ye `nbobs'
|
||
|
|
di
|
||
|
|
|
||
|
|
if "`threshold'"==""&"`rsm1'"=="" {
|
||
|
|
local line di in gr "{hline 75}"
|
||
|
|
}
|
||
|
|
else {
|
||
|
|
local line di in gr "{hline 27}"
|
||
|
|
}
|
||
|
|
|
||
|
|
if "`threshold'"==""&"`rsm1'"==""&"`pcm'"=="" {
|
||
|
|
`line'
|
||
|
|
di _col(1) in gr "Items" _col(18) "Difficulty" _col(34) "Discr." _col(45) "Pmin" _col(58) "Pmax" _col(73) "Acc"
|
||
|
|
}
|
||
|
|
else {
|
||
|
|
`line'
|
||
|
|
di _col(1) in gr "Items" _col(18) "Difficulty"
|
||
|
|
}
|
||
|
|
local dim0=0
|
||
|
|
|
||
|
|
*set trace on
|
||
|
|
|
||
|
|
local deb1=1
|
||
|
|
local fin1=`dim1'
|
||
|
|
|
||
|
|
forvalues d=1/`dim' { /* FOREACH DIMENSION*/
|
||
|
|
local deb`d'=`fin`=`d'-1''+1
|
||
|
|
local fin`d'=`deb`d''+`dim`d''-1
|
||
|
|
`line'
|
||
|
|
local p=`d'-1
|
||
|
|
local q=1
|
||
|
|
forvalues i=`deb`d''/`fin`d'' { /*FOREACH ITEM*/
|
||
|
|
*set trace on
|
||
|
|
*local q=`i'-`dim`p''*/
|
||
|
|
qui compress
|
||
|
|
if "`pcm'"=="" {
|
||
|
|
tempname prob`=`nbrsm`d''+2'
|
||
|
|
qui gen `prob`=`nbrsm`d''+2''=0
|
||
|
|
local tau1=`matdiff'[`i',1]
|
||
|
|
local D "1+exp(lt`d'-`tau1')"
|
||
|
|
forvalues k=2/`=`nbrsm`d''+1' {
|
||
|
|
local tau`k'=`tau`=`k'-1''+`matdiff'[`i',1]+`rsm`d'`k''
|
||
|
|
*di "tau`k'=`tau`k''"
|
||
|
|
local D "`D'+exp(`k'*lt`d'-`tau`k'') "
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else {
|
||
|
|
tempname prob`=`nbmodas'+1'
|
||
|
|
qui gen `prob`=`nbmodas'+1''=0
|
||
|
|
local tau1=`pcm'[`i',1]
|
||
|
|
local D "1+exp(lt`d'-`tau1')"
|
||
|
|
forvalues k=2/`nbmodas' {
|
||
|
|
local tau`k'=`tau`=`k'-1''+`pcm'[`i',`k']
|
||
|
|
*di "tau`k'=`tau`k''"
|
||
|
|
local D "`D'+exp(`k'*lt`d'-`tau`k'') "
|
||
|
|
}
|
||
|
|
}
|
||
|
|
if "`threshold'"==""/*&"`rsm1'"==""*/ {
|
||
|
|
if "`rsm`d''"==""&"`pcm'"=="" {
|
||
|
|
tempname prob1
|
||
|
|
qui gen `prob1'=`prob`=`nbrsm`d''+2''+`matpmin'[`i',1]+(`matpmax'[`i',1]-`matpmin'[`i',1])*(1/(1+exp(-`matdisc'[`i',1]*(lt`d'-`matdiff'[`i',1]))))^(`matacc'[`i',1])
|
||
|
|
qui compress
|
||
|
|
}
|
||
|
|
else if "`rsm`d''"!=""{
|
||
|
|
forvalues k=`=`nbrsm`d''+1'(-1)1 {
|
||
|
|
tempname prob`k'
|
||
|
|
qui gen `prob`k''=exp(`k'*lt`d'-`tau`k'')/(`D')+`prob`=`k'+1''
|
||
|
|
qui compress
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else if "`pcm'"!="" {
|
||
|
|
forvalues k=`nbmodas'(-1)1 {
|
||
|
|
tempname prob`k'
|
||
|
|
qui gen `prob`k''=exp(`k'*lt`d'-`tau`k'')/(`D')+`prob`=`k'+1''
|
||
|
|
qui compress
|
||
|
|
}
|
||
|
|
}
|
||
|
|
qui gen `prefix`d''`q'=0
|
||
|
|
if "`rsm1'"==""&"`pcm'"=="" {
|
||
|
|
di _col(1) in gr "`prefix`d''`q'" _col(20) in ye %8.4f `matdiff'[`i',1] _col(32) %8.4f `matdisc'[`i',1] _col(44) %6.4f `matpmin'[`i',1] _col(56) %6.4f `matpmax'[`i',1] _col(68) %8.4f `matacc'[`i',1]
|
||
|
|
}
|
||
|
|
else if "`rsm1'"!="" {
|
||
|
|
di _col(1) in gr "`prefix`d''`q'" _col(20) in ye %8.4f `matdiff'[`i',1]
|
||
|
|
}
|
||
|
|
else if "`pcm'"!="" {
|
||
|
|
forvalues k=1/`nbmodas' {
|
||
|
|
di _col(1) in gr "`prefix`d''`q'_`k'" _col(20) in ye %8.4f `pcm'[`i',`k']
|
||
|
|
}
|
||
|
|
}
|
||
|
|
tempname uni
|
||
|
|
qui gen `uni'=uniform()
|
||
|
|
qui compress
|
||
|
|
if "`pcm'"=="" {
|
||
|
|
forvalues k=1/`=`nbrsm`d''+1' {
|
||
|
|
qui replace `prefix`d''`q'=`k' if `uni'<=`prob`k''
|
||
|
|
qui drop `prob`k''
|
||
|
|
qui compress
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else {
|
||
|
|
forvalues k=1/`nbmodas' {
|
||
|
|
qui replace `prefix`d''`q'=`k' if `uni'<=`prob`k''
|
||
|
|
qui drop `prob`k''
|
||
|
|
qui compress
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else { /*if "`threshold'"!=""*/
|
||
|
|
if "`pcm'"=="" {
|
||
|
|
di _col(1) in gr "`prefix`d''`q'" _col(20) in ye %8.4f `matdiff'[`i',1]
|
||
|
|
qui gen `prefix`d''`q'=lt`d'>`matdiff'[`i',1]
|
||
|
|
qui compress
|
||
|
|
forvalues k=1/`=`nbrsm`d''+1' {
|
||
|
|
qui replace `prefix`d''`q'=`k' if lt`d'>=`tau`k''
|
||
|
|
qui compress
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else {
|
||
|
|
qui gen `prefix`d''`q'=lt`d'>`pcm'[`i',1]
|
||
|
|
forvalues k=1/`nbmodas' {
|
||
|
|
di _col(1) in gr "`prefix`d''`q'_`k'" _col(20) in ye %8.4f `pcm'[`i',`k']
|
||
|
|
qui replace `prefix`d''`q'=`k' if lt`d'>`pcm'[`i',`k']
|
||
|
|
qui compress
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
local q=`q'+1
|
||
|
|
}
|
||
|
|
forvalues k=2/`=`nbrsm`d''+1' {
|
||
|
|
di _col(1) in gr "tau`k'" _col(20) in ye %8.4f `rsm`d'`k''
|
||
|
|
}
|
||
|
|
}
|
||
|
|
`line'
|
||
|
|
di
|
||
|
|
*set trace on
|
||
|
|
|
||
|
|
|
||
|
|
forvalues d=1/`dim' {
|
||
|
|
qui su lt`d'
|
||
|
|
local var_`d'=r(Var)
|
||
|
|
local mean_`d'=r(mean)
|
||
|
|
forvalues l=`=`d'+1'/`dim' {
|
||
|
|
qui corr lt`d' lt`l' ,cov
|
||
|
|
local cov_`d'_`l'=r(cov_12)
|
||
|
|
return scalar cov_`d'_`l'=`cov_`d'_`l''
|
||
|
|
}
|
||
|
|
return scalar mean_`d'=`mean_`d''
|
||
|
|
return scalar var_`d'=`var_`d''
|
||
|
|
}
|
||
|
|
forvalues d=1/`dim' {
|
||
|
|
forvalues l=`=`d'+1'/`dim' {
|
||
|
|
local corr_`d'_`l'=`cov_`d'_`l''/sqrt(`var_`d''*`var_`l'')
|
||
|
|
return scalar corr_`d'_`l'=`corr_`d'_`l''
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
if `dim'==1&`group'!=0 {
|
||
|
|
qui su lt1 if group==0
|
||
|
|
local mean_0=r(mean)
|
||
|
|
qui su lt1 if group==1
|
||
|
|
local mean_1=r(mean)
|
||
|
|
local delta=`mean_1'-`mean_0'
|
||
|
|
}
|
||
|
|
|
||
|
|
return scalar nbobs=`nbobs'
|
||
|
|
tempname matcorr
|
||
|
|
*matrix list `matcov'
|
||
|
|
matrix `matcorr'=corr(`matcov')
|
||
|
|
|
||
|
|
di in gr "{hline 50}"
|
||
|
|
di _col(1) in gr "Latent trait" _c
|
||
|
|
if `dim'==2 {
|
||
|
|
di in gr "s"_c
|
||
|
|
}
|
||
|
|
di in gr _col(30) "Expected" _col(42) "Observed"
|
||
|
|
di in gr "{hline 50}"
|
||
|
|
forvalues i=1/`dim' {
|
||
|
|
di _col(1) in gr "Mean(lt`i')" _col(30) in ye %8.4f `matmu'[`i',1] _col(42) %8.4f `mean_`i''
|
||
|
|
di _col(1) in gr "Variance(lt`i')" _col(30) in ye %8.4f `matcov'[`i',`i'] _col(42) %8.4f `var_`i''
|
||
|
|
forvalues d=`=`i'+1'/`dim' {
|
||
|
|
di _col(1) in gr "Covariance `i'_`d'" _col(30) in ye %8.4f `matcov'[`i',`d'] _col(42) %8.4f `cov_`i'_`d''
|
||
|
|
di _col(1) in gr "Correlation `i'_`d'" _col(31) in ye %7.4f `matcorr'[`i',`d'] _col(43) %7.4f `corr_`i'_`d''
|
||
|
|
}
|
||
|
|
di in gr "{hline 50}"
|
||
|
|
}
|
||
|
|
if `dim'==1&`group'!=0 {
|
||
|
|
di _col(1) in gr "Mean(lt1) group 0" _col(30) in ye %8.4f `matmu'[1,1]-`deltagroup'*`group' _col(42) %8.4f `mean_0'
|
||
|
|
di _col(1) in gr "Mean(lt1) group 1" _col(30) in ye %8.4f `matmu'[1,1]+`deltagroup'*(1-`group') _col(42) %8.4f `mean_1'
|
||
|
|
qui count if group==1
|
||
|
|
local prop=r(N)/`nbobs'
|
||
|
|
di _col(1) in gr "Proportion group 1" _col(30) in ye %8.4f `group' _col(42) %8.4f `prop'
|
||
|
|
di in gr "{hline 50}"
|
||
|
|
}
|
||
|
|
|
||
|
|
/********************************************************************************
|
||
|
|
CLEAR AND/OR STORE
|
||
|
|
********************************************************************************/
|
||
|
|
qui compress
|
||
|
|
|
||
|
|
if "`clear'"!="" {
|
||
|
|
restore, not
|
||
|
|
preserve
|
||
|
|
}
|
||
|
|
if "`store'"!="" {
|
||
|
|
save "`store'",`replace'
|
||
|
|
}
|
||
|
|
if "`clear'"=="" {
|
||
|
|
use "`saveraschbin'",replace
|
||
|
|
}
|
||
|
|
end
|