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*! Raschfit version 3.1 (29 January 2006)
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*! Jean-Benoit Hardouin
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************************************************************************************************************
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* Stata program : Raschfit
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* The Raschfit and the Raschfit-fast procedures to construct sub-scales of items
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* Release 3.1 : January 29, 2006 /*MEAN option in raschtestv7, correction of a bug when there is several scales*/
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*
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* Historic
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* Version 1 (2004-05-06) [Jean-Benoit Hardouin]
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* Version 2 (2004-06-08) [Jean-Benoit Hardouin]
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* Version 3 (2005-12-28) [Jean-Benoit Hardouin]
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*
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* Jean-benoit Hardouin, Regional Health Observatory of Orl<72>ans - France
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* jean-benoit.hardouin@neuf.fr
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*
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* Use the Stata programs mmsrm, raschtest and gammasym who can be download on http://anaqol.free.fr
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* News about this program :http://anaqol.free.fr
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*
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* FreeIRT Project website : http://freeirt.free.fr
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*
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* Copyright 2004-2006 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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************************************************************************************************************
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program define raschfit,rclass
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version 7
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syntax varlist(min=2 numeric) [,KERnel(integer 0) NBSCales(integer 1) ITEMSorder(string) nofast ]
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if "`itemsorder'"=="" {
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local itemsorder mspinv
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}
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local nbitemstot : word count `varlist'
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tokenize `varlist'
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tempfile raschfitfile
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qui save `raschfitfile',replace
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preserve
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tempname affect
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matrix define `affect'=J(1,`nbitemstot',0)
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matrix colnames `affect'=`varlist'
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tempname rep item matbetadim1 matbetadim2
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if `kernel'!=0 {
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local listkernel
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forvalues i=1/`kernel' {
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local listkernel `listkernel' `rep'`i'
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matrix `affect'[1,`i']=1
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}
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}
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local dim=0
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local nbitemsnosel=`nbitemstot'
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local nbitemstotdim1=`nbitemstot'
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local nbitemsnoselukernel=`nbitemstot'-`kernel'
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tempvar id betadim1 betadim2
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forvalues i=1/`nbitemstot' {
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qui drop if ``i''==.
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rename ``i'' `rep'`i'
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}
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qui gen `id'=_n
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tempfile filescale
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qui save `filescale',replace
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di in green "{hline 55}"
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qui count
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local N=r(N)
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if "`fast'"!="" {
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di in green "Method: " in ye "Raschfit"
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}
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else {
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di in green "Method: " in ye "Raschfit-Fast"
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}
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di in green "Number of individuals: " in ye `N' in green " (with none missing values)"
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di in green "Number of items: " in ye `nbitemstot'
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di in green "{hline 55}"
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di
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di in green "{hline 100}"
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if "`fast'"!="" {
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di in green "Model 1: " in ye "Rasch model"
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di in green "Model 2: " in ye "MMSRM"
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}
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else {
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di in green "Model 1: " in ye "Rasch model"
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di in green "Model 2: " in ye "Adapted Rasch model (the response of the new item is not influenced by the latent trait)"
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}
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di in green "Order of the items:" _c
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if "`itemsorder'"=="order" {
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di in ye " order of {it:varlist}"
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}
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else if "`itemsorder'"=="msp" {
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di in ye " Obtained with MSP (from the first selected item to the last one)"
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}
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else if "`itemsorder'"=="mspinv" {
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di in ye " Obtained with MSP (from the last selected item to the first one)"
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}
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if `kernel'!=0 {
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di in green "Kernel of the first scale: " _c
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forvalues i=1/`kernel' {
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di in ye " ``i''" _c
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}
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di
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}
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di in green "{hline 100}"
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di
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while `nbitemsnosel'>2&`dim'<`nbscales' {
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use `filescale',replace
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local iteration=0
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local dim=`dim'+1
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if `dim'>1 {
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local kernel=0
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local listkernel
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}
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di in green "SCALE: " in yellow `dim'
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di in green "{hline 9}"
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di
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tempname result`dim'
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local listitemsnosel
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local varlist`dim'
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tokenize `varlist'
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forvalues i=1/`nbitemstot' {
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if `affect'[1,`i']==0 {
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local varlist`dim' `varlist`dim'' ``i''
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local listitemsnosel `listitemsnosel' `rep'`i'
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}
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}
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local nbitemsnosel:word count `listitemsnosel'
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if `dim'>1 {
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local nbitemstotdim`dim':word count `listitemsnosel'
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}
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if `kernel'>=2 {
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local fixed=`kernel'
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}
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else {
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local fixed=2
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}
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matrix define `result`dim''=J(`=`nbitemstotdim`dim''-`fixed'',`=`nbitemstotdim`dim''+7',0)
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tempname order`dim' affect`dim'
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matrix `order`dim''=J(1,`nbitemstotdim`dim'',0)
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matrix `affect`dim''=J(1,`nbitemstotdim`dim'',0)
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if "`itemsorder'"=="msp"|"`itemsorder'"=="mspinv" {
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di in green _col(0) "The program is ordering the items"
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di
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qui msp `listkernel' `listitemsnosel',c(-99) notest kernel(`kernel')
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local scale1 "`r(scale1)'"
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local scalenum1 "`r(scalenum1)'"
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tokenize `scalenum1'
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local listitemsselnum
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forvalues j=`=`nbitemstotdim`dim''+1-`fixed''/`nbitemstotdim`dim'' {
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matrix `order`dim''[1,`j']=1
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local k:word `j' of `scalenum1'
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matrix `affect`dim''[1,`k']=1
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local listitemsselnum `listitemsselnum' `k'
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}
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forvalues j=1/`nbitemsnosel' {
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matrix `order`dim''[1,`j']=`=`nbitemsnosel'+1-`j''
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}
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tokenize `scale1'
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local listitemssel ``=`nbitemstotdim`dim''-1'' ``nbitemstotdim`dim'''
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local listitemsnosel
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local listitemsnoselnum
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if "`itemsorder'"=="mspinv" {
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forvalues j=1/`=`nbitemstotdim`dim''-`fixed'' {
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local listitemsnosel `listitemsnosel' ``j''
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local k:word `j' of `scalenum1'
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local listitemsnoselnum `listitemsnoselnum' `k'
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}
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}
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else if "`itemsorder'"=="msp"{
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forvalues j=`=`nbitemstotdim`dim''-`fixed''(-1)1 {
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local listitemsnosel `listitemsnosel' ``j''
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local k:word `j' of `scalenum1'
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local listitemsnoselnum `listitemsnoselnum' `k'
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}
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}
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}
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else if "`itemsorder'"=="order" {
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tokenize `listkernel' `varlist`dim''
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local listitemssel
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local listitemsselnum
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local listitemsnosel
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local listitemsnoselnum
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forvalues j=1/`fixed'{
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local listitemssel `listitemssel' `rep'`j'
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local listitemsselnum `listitemsselnum' `j'
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matrix `affect`dim''[1,`j']=1
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}
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forvalues j=`=`fixed'+1'/`nbitemstotdim`dim'' {
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local listitemsnosel `listitemsnosel' `rep'`j'
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local listitemsnoselnum `listitemsnoselnum' `j'
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}
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}
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if `dim'>1 {
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tokenize `varlist`dim''
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}
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else {
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tokenize `varlist'
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}
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local nbitemsnosel:word count `listitemsnosel'
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local list
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tokenize `varlist`dim''
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forvalues i=1/`=`nbitemsnosel'+`fixed'' {
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local tmp:word `i' of `listitemsnoselnum' `listitemsselnum'
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local list `list' ``tmp''
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}
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matrix colnames `result`dim''=`list' Iteration Nbitems ll1 AIC1 ll2 AIC2 Selected
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di _col(0) in green "The kernel of the scale is " in yellow _continue
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forvalues i=1/`fixed' {
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local inum:word `i' of `listitemsselnum'
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di in yellow "``inum'' " _continue
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}
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di
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di
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tokenize `listitemsnosel'
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di in green "{hline 90}"
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di in green _col(36) "Log-Likelihood" _col(58) "Akaike Criterion (AIC)"
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di in green _col(4) "Iteration" _col(20) "New Item" _col(34) "Model 1" _col(47) "Model 2" _col(60) "Model 1" _col(73) "Model 2" _col(81) "Selected"
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di in green "{hline 90}"
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forvalues i=1/`=`nbitemsnosel-2'' {
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local iteration=`iteration'+1
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qui use `filescale' , clear
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local i2:word `i' of `listitemsnosel'
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local i2num:word `i' of `listitemsnoselnum'
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qui keep `id' `listitemssel' `i2'
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tempname score1 score2
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qui gen `score2'=0
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tokenize `listitemssel'
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local nbitemssel: word count `listitemssel'
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forvalues j=1/`i' {
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local j2num:word `j' of `listitemsnoselnum'
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if `affect`dim''[1,`j2num']==1 {
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matrix `result`dim''[`iteration',`j']=1
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}
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}
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forvalues j=1/`nbitemssel' {
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local j2:word `j' of `listitemssel'
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local j2num:word `j' of `listitemsselnum'
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qui replace `score2'=`score2'+`j2'
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}
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tokenize `listitemsnosel'
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qui gen `score1'=`score2'+`i2'
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forvalues j=`=`nbitemsnosel'+1'/`=`nbitemsnosel'+`nbitemssel'' {
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matrix `result`dim''[`iteration',`j']=1
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}
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matrix `result`dim''[`iteration',`=`nbitemstotdim`dim''+1']=`iteration'
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matrix `result`dim''[`iteration',`=`nbitemstotdim`dim''+2']=`nbitemssel'
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matrix `result`dim''[`iteration',`i']=2
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if "`fast'"=="" {
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qui count
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local N=r(N)
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* di "qui raschtestv7 `listitemssel' `i2' , mean method(cml) test(none)"
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qui raschtestv7 `listitemssel' `i2' , mean method(cml) test(none)
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matrix `result`dim''[`iteration',`=`nbitemstotdim`dim''+3']=r(ll)
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matrix `result`dim''[`iteration',`=`nbitemstotdim`dim''+4']=2*(-r(ll)+(2*`nbitemssel'+3))
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local nb1:word count `listitemssel'
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qui raschtestv7 `listitemssel',trace test(none) mean
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matrix `result`dim''[`iteration',`=`nbitemstotdim`dim''+5']=r(ll)
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qui logit `i2'
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matrix `result`dim''[`iteration',`=`nbitemstotdim`dim''+5']=`result`dim''[`iteration',`=`nbitemstotdim`dim''+5']+e(ll)
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matrix `result`dim''[`iteration',`=`nbitemstotdim`dim''+6']=2*(-`result`dim''[`iteration',`=`nbitemstotdim`dim''+5']+(2*`nbitemssel'+3))
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}
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else {
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qui count
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local N=r(N)
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qui raschtestv7 `listitemssel' `i2' , method(mml) test(none)
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matrix `result`dim''[`iteration',`=`nbitemstotdim`dim''+3']=r(ll)
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matrix `result`dim''[`iteration',`=`nbitemstotdim`dim''+4']=2*(-r(ll)+`nbitemssel'+2)
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local nb1:word count `listitemssel'
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qui mmsrm `listitemssel' `i2' , part(`nb1' 1) iterate(20)
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matrix `result`dim''[`iteration',`=`nbitemstotdim`dim''+5']=e(ll)
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matrix `result`dim''[`iteration',`=`nbitemstotdim`dim''+6']=2*(-e(ll)+`nbitemssel'+4)
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}
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tokenize `listkernel' `varlist`dim''
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di in ye _col(4) %9.0f `iteration' _col(14) %14s abbrev("``i2num''",14) _col(29) %12.4f `result`dim''[`iteration',`=`nbitemstotdim`dim''+3'] _col(42) %12.4f `result`dim''[`iteration',`=`nbitemstotdim`dim''+5'] _col(55) %12.4f `result`dim''[`iteration',`=`nbitemstotdim`dim''+4'] _col(68) %12.4f `result`dim''[`iteration',`=`nbitemstotdim`dim''+6'] _c
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if `result`dim''[`iteration',`=`nbitemstot'+4']<=`result`dim''[`iteration',`=`nbitemstot'+6'] {
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matrix `result`dim''[`iteration',`i']=1
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matrix `result`dim''[`iteration',`=`nbitemstotdim`dim''+7']=1
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local nbitemssel=`nbitemssel'+1
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local nbitemsnosel=`nbitemsnosel'-1
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* local listitemssel `listitemssel' `rep'`i2num'
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local listitemssel `listitemssel' `i2'
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local listitemsselnum `listitemsselnum' `i2num'
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matrix `affect`dim''[1,`i2num']=1
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di in ye _col(88) "X"
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}
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else {
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matrix `result`dim''[`iteration',`=`nbitemstotdim`dim''+7']=2
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di
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}
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}
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di in green "{hline 90}"
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return matrix result`dim' `result`dim''
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local j=`kernel'+1
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forvalues i=`=`kernel'+1'/`nbitemstot' {
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if `affect'[1,`i']==0 {
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if `affect`dim''[1,`j']==1 {
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matrix `affect'[1,`i']=`dim'
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}
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local j=`j'+1
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}
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}
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}
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use `raschfitfile',clear
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return matrix affect `affect'
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end
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