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455 lines
15 KiB
Plaintext
455 lines
15 KiB
Plaintext
9 months ago
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*! Version 8.1.1 26 September 2013
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*! Jean-Benoit Hardouin
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************************************************************************************************************
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* Stata program : msp
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* Mokken Scale Procedure
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* Release 8.1.1: (September 26, 2013) [Jean-Benoit Hardouin] /*correction of a rare bug */
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*
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* Historic :
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* Version 1 - lose version (August 20, 2002) [Jean-Benoit Hardouin]
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* Version 2 (September 25, 2002) [Jean-Benoit Hardouin]
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* Version 3 (December 1, 2003) [Jean-Benoit Hardouin]
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* Version 4 (January 20, 2004) [Jean-Benoit Hardouin]
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* Version 5 (March 22, 2004) [Jean-Benoit Hardouin]
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* Version 5.1 (May 1st, 2004) [Jean-Benoit Hardouin]
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* Version 6 : (July 5, 2004) [Jean-Benoit Hardouin]
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* Version 6.1 : (September 5, 2004) [Jean-Benoit Hardouin]
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* Version 6.2 : (January 22, 2006) [Jean-Benoit Hardouin] /*English improvements*/
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* Release 6.3 : (March 20, 2006) [Jean-Benoit Hardouin] /*A bug with temporary files */
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* Release 6.6: (Februar 16, 2007) [Jean-Benoit Hardouin] /*Tests of the loevinger H indices, adaptation for loevH 6.6, noadjust option, improvements*/
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* Release 8: (December 8, 2010) [Jean-Benoit Hardouin] /*Adaptation for loevh version 8*/
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* Release 8.1: (December 19, 2012) [Jean-Benoit Hardouin] /*correction of a bug with the notest option*/
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* Release 8.1.1: (September 26, 2013) [Jean-Benoit Hardouin] /*correction of a rare bug */
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*
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* Jean-benoit Hardouin, University of Nantes - Faculty of Pharmaceutical Sciences
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* Department of Biostatistics - France
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* jean-benoit.hardouin@anaqol.org
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*
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* The Stata program loevh is needed. It can be downloaded on http://www.anaqol.org
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* News about this program :http://www.anaqol.org
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* FreeIRT Project website : http://www.freeirt.org
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*
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* Copyright 2002-2007, 2010, 2012 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 msp , rclass
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version 7.0
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syntax varlist(min=2 numeric) [,c(real 0.3) noDETails KERnel(integer 0) noTEst p(real 0.05) PAIRWise MINValue(real 0) noBon noADJust]
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local nbitems : word count `varlist'
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tokenize `varlist'
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tempfile mspfile
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qui save "`mspfile'"
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if "`pairwise'"=="" {
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forvalues j=1/`nbitems' {
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qui drop if ``j''==.
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}
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}
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if "`test'"!="" {
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local p=1
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local minvalue=-99
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local bon nobon
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}
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qui loevh `varlist',`pairwise' pair `adjust'
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tempname pvalHjk loevHjk loevHjks loevHj loevH Hjk stopscale stop dim plusitems Hjkmax Hjmax Hmax nbitemsel
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matrix `loevHjk'=r(loevHjk)
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matrix `loevHjks'=r(loevHjk)
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matrix `pvalHjk'=r(pvalHjk)
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matrix `loevHj'=r(loevHj)
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scalar `loevH'=r(loevH)
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matrix `Hjk'=`loevHjk'
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matrix define `dim'=J(1,`nbitems',0)
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global scale=0
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scalar `stopscale'=0
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while `stopscale'!=1 { /*WHILE IT IS POSSIBLE TO CONSTRUCT SCALES*/
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global scale=$scale+1
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local dimension=$scale
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local scaletmp="scale$scale"
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local scaletmpnum="scalenum$scale"
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global `scaletmp'
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global `scaletmpnum'
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if "`details'"=="" {
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di
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di in yellow "Scale: $scale"
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di "{hline 10}"
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}
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/**********************************************************************************************************
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BEGINING OF THE INITIAL STEP
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**********************************************************************************************************/
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/****NONE KERNEL OR NOT THE FIRST SCALE****/
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if $scale>1|`kernel'==0 {
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scalar `plusitems'=0
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scalar `Hjkmax'=-99
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local nbitemsbon=0
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forvalues j1=1/`nbitems' {
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if `dim'[1,`j1']==0 {
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local nbitemsbon=`nbitemsbon'+1
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}
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}
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if `nbitemsbon'<=1 {
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local nbitemsbon=2
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}
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local kbon=`nbitemsbon'*(`nbitemsbon'-1)/2
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if "`bon'"==""&"`test'"=="" {
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local pbon=`p'/`kbon'
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}
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else {
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local pbon=`p'
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}
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if "`test'"!="" {
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local pbon=1
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local p=1
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}
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if "`details'"==""&"`test'"=="" {
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di in green "Significance level: " in yellow %8.6f `pbon'
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}
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forvalues j1=1/`nbitems' { /*WE SEARCH THE BEST PAIR OF ITEMS*/
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if `dim'[1,`j1']==0 {
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scalar `plusitems'=1
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forvalues j2=`=`j1'+1'/`nbitems' {
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if `dim'[1,`j2']==0 {
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if `Hjk'[`j1',`j2']>`Hjkmax'&`pvalHjk'[`j1',`j2']<=`pbon' {
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scalar `Hjkmax'=`Hjk'[`j1',`j2']
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global j1max=`j1'
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global j2max=`j2'
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}
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}
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}
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}
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}
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if `Hjkmax'==-99 { /*IF NONE PAIR OF ITEM VERIFY Hjk>0*/
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if `plusitems'==0 {
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if "`details'"=="" {
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di in green "{p}There is no more items remaining.{p_end}"
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}
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}
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else {
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if "`details'"=="" {
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di as green "{p}None pair of items has a significantly positive Hjk coefficient.{p_end}"
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}
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}
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continue, break
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}
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if `Hjkmax'<=`c' { /*IF NONE PAIR OF ITEM VERIFY Hjk>c*/
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if $scale==1 {
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if "`details'"=="" {
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di as green "{p}None pair of items verifies Hjk>`c', the maximum value of these coefficients is " %6.4f `Hjkmax' ". None scale can be constructed.{p_end}"
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}
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}
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else {
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if "`details'"=="" {
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di as green "{p}None new scale can be constructed because none pair of items, among the remaining items, verifies Hjk>`c'{p_end}"
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}
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}
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scalar `stop'=1
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scalar `stopscale'=1
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continue, break
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}
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else { /*IF THERE IS AT LEAST ONE PAIR OF ITEM WHO VERIFY Hjk>c*/
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matrix `dim'[1,$j1max]=$scale
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matrix `dim'[1,$j2max]=$scale
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local scaletmp="scale$scale"
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local scaletmpnum="scalenum$scale"
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global `scaletmp' "`$j1max' `$j2max'"
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global `scaletmpnum' "$j1max $j2max"
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if "`details'"=="" {
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di in green "{p}The two first items selected in the scale " in yellow "$scale " in green "are " in yellow "`$j1max' " in green "and " in yellow "`$j2max'" in green " (Hjk=" in yellow %6.4f `Hjkmax' in green "){p_end}"
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}
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scalar `nbitemsel'=2
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}
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forvalues i=1/`nbitems' { /*WE EXCLUDE THE ITEMS WHICH VERIFY Hjk<0 WITH THE TWO SELECTED ITEMS*/
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if ((`loevHjks'[`i',$j1max]<`minvalue'|`pvalHjk'[`i',$j1max]>`p')&`dim'[1,`i']==0) {
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matrix `dim'[1,`i']=-1
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}
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if ((`loevHjks'[`i',$j2max]<`minvalue'|`pvalHjk'[`i',$j2max]>`p')&`dim'[1,`i']==0) {
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matrix `dim'[1,`i']=-1
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}
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}
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}
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/****FIRST SCALE, KERNEL OF ONE ITEM****/
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if $scale==1&`kernel'==1 {
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global j1max=1
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scalar `plusitems'=0
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scalar `Hjkmax'=-99
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if "`details'"=="" {
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di in green "The item " in yellow "`1'" in green " is the kernel of the first scale"
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}
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local nbitemsbon=0
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forvalues i=2/`nbitems' { /*WE EXCLUDE THE ITEM WHICH VERIFY Hjk<0 WITH THE ITEM OF THE KERNEL*/
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if (`loevHjks'[`i',$j1max]<`minvalue'|`pvalHjk'[`i',$j1max]>`p')&`dim'[1,`i']==0) {
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matrix `dim'[1,`i']=-1
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}
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if `dim'[1,`i']==0 {
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local nbitemsbon=`nbitemsbon'+1
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}
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}
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local kbon=`nbitemsbon'
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if "`bon'"==""&"`test'"=="" {
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local pbon=`p'/`kbon'
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}
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else {
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local pbon=`p'
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}
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if "`details'"==""&"`test'"=="" {
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di in green "Significance level: " in yellow %8.6f `pbon'
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}
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forvalues j2=2/`nbitems' {/*WE SEARCH THE BEST ITEM TO SELECT WITH THE KERNEL*/
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if `Hjk'[`j2',1]>`Hjkmax'&`pvalHjk'[`j2',1]<`pbon' {
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scalar `Hjkmax'=`Hjk'[`j2',1]
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global j2max=`j2'
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}
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}
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if `Hjkmax'==-99 {/*IF NONE ITEM CAN BE SELECTED WITH THE KERNEL Hjk<*/
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if "`details'"=="" {
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di as green "{p}None item associated to the item " in yellow "$j1 " in green "allows obtaining a significantly positive value for the Hjk coefficient.{p_end}"
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}
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continue, break
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}
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if `Hjkmax'<=`c' { /*IF NONE ITEM CAN BE SELECTED WITH THE KERNEL Hjk<c*/
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if "`details'"=="" {
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di as green "{p}None index Hjk associated to the item " in yellow "$j1 " in green "verifies Hjk>`c', the maximum value of these coefficients is " %6.4f `Hjkmax' ". None scale can be constructed.{p_end}"
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}
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scalar `stop'=1
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scalar `stopscale'=1
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continue, break
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}
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else { /* IF AT LEAST ONE ITEM CAN BE SELECTED WITH THE KERNEL Hjk>c*/
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matrix `dim'[1,$j1max]=$scale
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matrix `dim'[1,$j2max]=$scale
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local scaletmp="scale$scale"
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local scaletmpnum="scalenum$scale"
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global `scaletmp' "`$j2max' `$j1max'"
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global `scaletmpnum' "$j2max $j1max"
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if "`details'"=="" {
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di in green "The second item selected in the first scale is " in yellow "`$j2max' " in green "(Hjk=" in yellow %6.4f `Hjkmax' in green")"
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}
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scalar `nbitemsel'=2
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}
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forvalues i=1/`nbitems' { /*WE EXCLUDE THE ITEM WHICH VERIFY Hjk<0 WITH THE NEW SELECTED ITEM*/
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if (`loevHjks'[`i',$j2max]<`minvalue'|`pvalHjk'[`i',$j2max]>`p')&`dim'[1,`i']==0 {
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matrix `dim'[1,`i']=-1
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}
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}
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}
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/****FIRST SCALE, KERNEL OF SEVERAL ITEMS****/
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if $scale==1&`kernel'>=2 {
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global scale1
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local scalenum1
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local kbon=1
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local pbon=`p'
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if "`details'"==""&"`test'"=="" {
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di in green "Significance level: " in yellow %8.6f `pbon'
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}
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forvalues j2=1/`kernel' {
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global scale1 ``j2'' $scale1
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global scalenum1 $scalenum1 `j2'
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matrix `dim'[1,`j2']=1
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}
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if "`details'"=="" {
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di in green "{p}The kernel of the first scale is composed of the items " in yellow "$scale1{p_end}"
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}
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scalar `nbitemsel'=`kernel'
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forvalues j=1/`kernel' {
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forvalues i=1/`nbitems' { /* WE EXCLUDE THE ITEMS WHICH VERIFY Hjk<0 WITH THE ITEMS OF THE KERNEL*/
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if (`loevHjks'[`i',`j']<`minvalue'|`pvalHjk'[`i',`j']>`p')&`dim'[1,`i']==0 {
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matrix `dim'[1,`i']=-1
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}
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}
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}
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}
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local excluded
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forvalues i=1/`nbitems' {
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if `dim'[1,`i']==-1 {
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local excluded `excluded' ``i''
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matrix `dim'[1,`i']=-2
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}
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}
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if "`excluded'"!=""&"`details'"=="" {
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di in green "The following items are excluded at this step: " in yellow "`excluded'"
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}
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scalar `stop'=0
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/**********************************************************************************************************
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END OF THE INITIAL STEP
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**********************************************************************************************************/
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while `stop'!=1 { /*WHILE THE PROCEDURE TO CONSTRUCT THE ACTUAL SCALE IS NOT STOPPED*/
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scalar `Hjmax'=-99
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scalar `Hmax'=-99
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global jmax=0
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global stopmax=0
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local nbitemsbon=0
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forvalues i=1/`nbitems' {
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if `dim'[1,`i']==0 {
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local nbitemsbon=`nbitemsbon'+1
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}
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}
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local kbon=`kbon'+`nbitemsbon'
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if "`bon'"=="" {
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local pbon=`p'/`kbon'
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}
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else {
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local pbon=`p'
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}
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if "`details'"==""&"`test'"=="" {
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di in green "Significance level: " in yellow %8.6f `pbon'
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}
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forvalues j0=1/`nbitems' {
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if `dim'[1,`j0']==0 {/*IF THE ITEM J0 IS UNSELECTED*/
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|
global stopmax=1
|
||
|
|
local scaletmp="scale$scale"
|
||
|
|
local scaletmpnum="scalenum$scale"
|
||
|
|
qui loevh ``j0'' $`scaletmp' ,`pairwise' pair `adjust'
|
||
|
|
tempname pvalHj0
|
||
|
|
matrix `pvalHj0'=r(pvalHj)
|
||
|
|
scalar `pvalHj0'=`pvalHj0'[1,1]
|
||
|
|
matrix `loevHjk'=r(loevHjk)
|
||
|
|
matrix `loevHj'=r(loevHj)
|
||
|
|
scalar `loevH'=r(loevH)
|
||
|
|
|
||
|
|
local nbitsc : word count $`scaletmp'
|
||
|
|
local nbitsc=`nbitsc'+1
|
||
|
|
if `loevHj'[1,1]>`c'&`pvalHj0'<`pbon' {/*IF THE ITEM J0 CAN BE SELECTED*/
|
||
|
|
if `loevH'>`Hmax' {/*AND IF IT IS THE BEST ITEM (COMPARED TO THE PRECEEDING ITEMS)*/
|
||
|
|
scalar `Hjmax'=`loevHj'[1,1]
|
||
|
|
scalar `Hmax'=`loevH'
|
||
|
|
global j="``j0''"
|
||
|
|
global j0=`j0'
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
if $stopmax==1&`Hjmax'==-99 { /*IF THERE IS ITEMS REMAINING BUT NONE OF THEM CAN BE SELECTED*/
|
||
|
|
|
||
|
|
if "`details'"=="" {
|
||
|
|
di in green "{p}None new item can be selected in the scale $scale because all the Hj are lesser than `c' or none new item has all the related Hjk coefficients significantly greater than 0{p_end}."
|
||
|
|
}
|
||
|
|
scalar `stop'=1
|
||
|
|
continue,break
|
||
|
|
}
|
||
|
|
if $stopmax==0 { /*IF THERE IS NO MORE ITEM REMAINING*/
|
||
|
|
if "`details'"=="" {
|
||
|
|
di in green "{p}There is no more items remaining.{p_end}"
|
||
|
|
}
|
||
|
|
scalar `stopscale'=1
|
||
|
|
scalar `stop'=1
|
||
|
|
forvalues i=1/`nbitems' {
|
||
|
|
if `dim'[1,`i']<0 {
|
||
|
|
scalar `stopscale'=0
|
||
|
|
}
|
||
|
|
}
|
||
|
|
*global scale=$scale-1
|
||
|
|
continue,break
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
if `stop'!=1 { /*IF THE PROCEDURE IS NOT STOPPED*/
|
||
|
|
matrix `dim'[1,$j0]=$scale
|
||
|
|
local `scaletmp'="scale$scale"
|
||
|
|
local `scaletmpnum'="scalenum$scale"
|
||
|
|
global `scaletmp' $j $`scaletmp'
|
||
|
|
global `scaletmpnum' $j0 $`scaletmpnum'
|
||
|
|
if "`details'"=="" {
|
||
|
|
di in green "The item " in yellow "`$j0' " in green "is selected in the scale " in yellow "$scale" _col(50) in green "Hj=" in yellow %6.4f `Hjmax' _col(65) in green "H=" in yellow %6.4f `Hmax' ""
|
||
|
|
}
|
||
|
|
local excluded
|
||
|
|
forvalues i=1/`nbitems' {
|
||
|
|
if `dim'[1,`i']==-1 {
|
||
|
|
matrix `dim'[1,`i']=-2
|
||
|
|
}
|
||
|
|
if `dim'[1,`i']==0 { /*WE EXCLUDE ITEMS WHO HAVE A NEGATIVE Hjk WITH THE NEW SELECTED ITEM*/
|
||
|
|
if `loevHjks'[`i',$j0]<`minvalue'|`pvalHjk'[`i',$j0]>`p' {
|
||
|
|
matrix `dim'[1,`i']=-1
|
||
|
|
local excluded `excluded' ``i''
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
if "`excluded'"!=""&"`details'"=="" {
|
||
|
|
di in green "The following items are excluded at this step: " in yellow "`excluded'"
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
di
|
||
|
|
local scaleencours="scale$scale"
|
||
|
|
local scalenumencours="scalenum$scale"
|
||
|
|
local nbitemscale : word count $`scaleencours'
|
||
|
|
return scalar nbitems`dimension'=`nbitemscale'
|
||
|
|
if `nbitemscale'>0 { /* IF AT LEAST TWO ITEMS HAVE BEEN SELECTED*/
|
||
|
|
if "`details'"!="" {
|
||
|
|
di
|
||
|
|
di in yellow "Scale: $scale"
|
||
|
|
di "{hline 10}"
|
||
|
|
}
|
||
|
|
loevh $`scaleencours',`pairwise' `adjust'
|
||
|
|
matrix `loevHjk'=r(loevHjk)
|
||
|
|
matrix `loevHj'=r(loevHj)
|
||
|
|
scalar `loevH'=r(loevH)
|
||
|
|
|
||
|
|
return scalar H`dimension'=`loevH'
|
||
|
|
return local scale`dimension' $`scaleencours'
|
||
|
|
return local scalenum`dimension' $`scalenumencours'
|
||
|
|
local j=`nbitemscale'
|
||
|
|
di
|
||
|
|
}
|
||
|
|
forvalues i=1/`nbitems' {
|
||
|
|
if `dim'[1,`i']<0 {
|
||
|
|
matrix `dim'[1,`i']=0
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
local restnbitems=0
|
||
|
|
forvalues j0=1/`nbitems' {
|
||
|
|
if `dim'[1,`j0']==0 {
|
||
|
|
local restnbitems=`restnbitems'+1
|
||
|
|
local restitem ``j0''
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
if `restnbitems'==1 { /*IF THERE IS ONLY ONE ITEM REMAINING*/
|
||
|
|
di
|
||
|
|
di in green "{p}There is only one item remaining (" in yellow "`restitem'" in green ").{p_end}"
|
||
|
|
local stopscale=1
|
||
|
|
return local lastitem "`restitem'"
|
||
|
|
}
|
||
|
|
|
||
|
|
}
|
||
|
|
|
||
|
|
return scalar dim=$scale
|
||
|
|
matrix colnames `dim'=`varlist'
|
||
|
|
return matrix selection=`dim'
|
||
|
|
|
||
|
|
qui use "`mspfile'",clear
|
||
|
|
end
|