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*! Version 1 19 November 2008
*! Jean-Benoit Hardouin
************************************************************************************************************
* Stata program : guttmax
* Research of the maximal number of Guttman Errors for a specific score
*
* Historic :
* Version 1 (November 19, 2008) [Jean-Benoit Hardouin]
*
* Jean-benoit Hardouin, phD, Assistant Professor
* Team of Biostatistics, Clinical Research and Subjective Measures in Health Sciences (UPRES EA 4275)
* University of Nantes - Faculty of Pharmaceutical Sciences
* France
* jean-benoit.hardouin@anaqol.org
*
* Requiered Stata modules:
* -anaoption- (version 1)
* -traces- (version 3.2)
* -gengroup- (version 1)
*
* News about this program :http://www.anaqol.org
* FreeIRT Project website : http://www.freeirt.org
*
* Copyright 2008 Jean-Benoit Hardouin
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*
***********************************************************************************************************
program define guttmax , rclass
version 10
syntax anything [,Score(real -1) Response(string)]
if `score'!=-1&"`response'"!="" {
di in red "You cannot defined in the same time the score and the response options";
error 198
}
local step:word count `anything'
local nbitems=0
forvalues i=1/`step' {
local step`i':word `i' of `anything'
if `step`i''>`nbitems' {
local nbitems=`step`i''
}
}
di in green "Number of steps: " in ye `step'
di in green "Number of items: " in ye `nbitems'
tempname mate
matrix `mate'=J(1,`step',0)
if `score'!=-1 {
if `score'>`step' {
di in red "You cannot defined a score greater to the maximal possible score";
error 198
}
di in green "Score: " in ye `score'
local maxstep=0
forvalues i=1/`nbitems' {
local nstep`i'=0
forvalues j=1/`step' {
if `step`j''==`i' {
local ++nstep`i'
if `nstep`i''>`maxstep' {
local maxstep=`nstep`i''
}
}
}
}
tempname calcul
matrix `calcul'=J(`nbitems',`maxstep',0)
*matrix list `calcul'
forvalues i=1/`nbitems' {
*di "item `i'"
local n=1
forvalues j=1/`step' {
if `step`j''==`i' {
forvalues s=`n'/`nstep`i'' {
matrix `calcul'[`i',`s']=`calcul'[`i',`s']+`j'
matrix list `calcul'
}
local ++n
}
}
forvalues j=2/`nstep`i'' {
matrix `calcul'[`i',`j']=`calcul'[`i',`j']/`j'
di "j=`j'"
matrix list `calcul'
}
}
*matrix list `calcul'
while (`score'>0) {
local max=0
forvalues i=1/`nbitems' {
local s=min(`score',`nstep`i'')
*di "forvalues j=1/`s' {"
forvalues j=1/`s' {
if `calcul'[`i',`j']>`max' {
local maxi=`i'
local maxj=`j'
local max=`calcul'[`i',`j']
}
}
}
*di "maxi=`maxi' maxj=`maxj'"
local d=0
forvalues l=1/`step' {
if `step`l''==`maxi'&`mate'[1,`l']==0&`d'<=`maxj' {
matrix `mate'[1,`l']=1
local ++d
}
}
forvalues l=1/`maxj' {
matrix `calcul'[`maxi',`l']=0
}
local score=`score'-`maxj'
*matrix list `calcul'
}
}
else { /*if reponse*/
local nbrep: word count `response'
if `nbrep'!=`nbitems' {
di in red "You cannot defined a number of responses different of the number of items";
error 198
}
tempname cpt
qui matrix `cpt'=J(`nbitems',1,0)
forvalues i=1/`nbitems' {
local rep`i':word `i' of `response'
qui matrix `cpt'[`i',1]=`rep`i''
}
forvalues i=1/`step' {
if `cpt'[`step`i'',1]>0 {
qui matrix `mate'[1,`i']=1
qui matrix `cpt'[`step`i'',1]=`cpt'[`step`i'',1]-1
}
else {
qui matrix `mate'[1,`i']=0
}
}
}
local emax=0
forvalue i=1/`step' {
forvalues j=`=`i'+1'/`step' {
if `mate'[1,`i']==0&`mate'[1,`j']==1 {
local ++emax
}
}
}
if `score'!=-1 {
di in green "Responses profile generating the most important number of Guttman error"
matrix list `mate' ,noheader nonames
di in green "Max number of Guttman errors : " in ye `emax'
}
else {
di in green "Responses profile"
matrix list `mate' ,noheader nonames
di in green "Number of Guttman errors : " in ye `emax'
}
return scalar maxegutt =`emax'
end