diff --git a/Scripts/Analysis/DIF-ROSALI/dif_rosali.do b/Scripts/Analysis/DIF-ROSALI/dif_rosali.do
deleted file mode 100644
index 80d267b..0000000
--- a/Scripts/Analysis/DIF-ROSALI/dif_rosali.do
+++ /dev/null
@@ -1,198 +0,0 @@
-*=================================================================================================================================================
-* Date : 2024-01-23
-* Stata version : Stata 18 SE
-*
-* This program analyses simulated data accounting for DIF through a partial credit model
-*
-* ado-files needed : - pcm, rosali (version 5.5 October 25, 2023, available on gitea)
-*
-*
-*================================================================================================================================================
-adopath+"/home/corentin/Documents/These/Recherche/ROSALI-SIM/Modules/rosali_custom"
-
-
-local N = "100 200 300"
- local ss = "1 2 3 4 5 6 7 8 9 10 11 1 13 14 15 16 17 18 19 20"
- foreach s in `ss' {
- foreach Nnn in `N' {
- local Nn =  `Nnn'
- local path_data = "/home/corentin/Documents/These/Recherche/Simulations/Data/DIF/N`Nn'"
- if (`s'<=4) {
-   local path_data = "/home/corentin/Documents/These/Recherche/Simulations/Data/NoDIF/N`Nn'"
- }
- local path_res = "/home/corentin/Documents/These/Recherche/Simulations/Analysis/ROSALI-DIF/N`Nn'"
- local scenarios = "A B C D E F G"
- foreach scen in `scenarios' {
- clear
- import delim "`path_data'/scenario_`s'`scen'_`Nn'.csv", encoding(ISO-8859-2)  case(preserve) clear
- rename TT tt
-
- if (`s'<=2) {
-   local nbitems=4
- }
- else if (`s'<=4) {
-   local nbitems=7
- }
- else if (`s'<=12) {
-   local nbitems=4
- }
- else {
-   local nbitems=7
- }
-
-if (mod(`s',2)==0) {
-  local nbmoda=3
-}
-else {
-  local nbmoda=1
-}
-
- if (`s'<=4) {
-   local nbdif=0
- }
- else if (`s'<=8) {
-   local nbdif=1
- }
- else if (`s'<=16) {
-   local nbdif=2
- }
- else {
-   local nbdif=3
- }
- * taillemat = Maximum J*M cases pour les items par et J*M cases pour les dif par + J cases pour les DIF detect + nbdif cases pour dif réel
- local taillemat=2*`nbitems'*`nbmoda'+`nbitems'+`nbdif'+2
- local colna=""
- forvalues i=1/`nbitems' {
-   forvalues z=1/`nbmoda' {
-     local colna = "`colna'"+"item`i'_`z' "
-     local colna = "`colna'"+"dif_`i'_`z' "
-   }
- }
- forvalues i=1/`nbitems' {
-   local colna = "`colna'"+"dif_detect_`i' "
- }
-
- forvalues i=1/`nbdif' {
-   local colna = "`colna'"+"real_dif_`i' "
- }
-local colna = "`colna'" + "beta " + "se_beta"
-
-
- mat outmat = J(1000,`taillemat',.)
- mat colnames outmat= `colna'
- di "Scenario `s'`scen' / N=`Nnn'"
- forvalues k=1/1000 {
-   if (mod(`k',100)==0) {
-     di "`k'/1000"
-   }
-   preserve
-   qui keep if replication==`k'
-
-   * ROSALI
-   qui rosali_original item1-item`nbitems' item1-item`nbitems', group(tt)
-   qui mat resmat=r(difitems)
-   local nbitems2 = 2*`nbitems'
-
-   * Calculer le nbre d'items détectés
-   local nbdetect = 0
-   local stop = 0
-   forvalues jj=1/`nbitems' {
-       if (`stop'==0) {
-         mat testm=J(1,1,.)
-         if (resmat[1,`jj']==testm[1,1]) {
-           local stop = 1
-           local nbdetect = `jj'-1
-         }
-       }
-   }
-
-   * Stocker les items détectés +
-   * Définition des contraintes
-   local csrt=0
-   mat testm=J(1,1,0)
-   forvalues u=1/`nbdetect' {
-      local difitems`u'=resmat[1,`u']
-       local i=`difitems`u''
-        if (`nbmoda'==3 & resmat[1,`nbitems'+`i']!=testm[1,1]){
-         local constrnt`u' = "constraint `u' 2*([1.item`i']_cons-([1.item`i']_cons+[1.item`i'] tt))=([2.item`i']_cons-([2.item`i']_cons+[2.item`i'] tt))"
-         qui `constrnt`u''
-         local v=`u'+100
-         local constrnt`u'_2 = "constraint `v' 3*([1.item`i']_cons-([1.item`i']_cons+[1.item`i'] tt))=([3.item`i']_cons-([3.item`i']_cons+[3.item`i'] tt))"
-         qui `constrnt`u'_2'
-        }
-       }
-
-   * Définition du modèle
-   local mod "gsem "
-   local conformula = ""
-   forvalues i=1/`nbitems' {
-       local mod = "`mod'"+"(1.item`i'<-THETA@1)"
-       if (`nbmoda'==3) {
-         local mod = "`mod'"+"(2.item`i'<-THETA@2)(3.item`i'<-THETA@3)"
-       }
-   }
-   forvalues u=1/`nbdetect' {
-       local v=`difitems`u''
-       local mod = "`mod'"+"(1.item`v'<-THETA@1 tt)"
-       if (`nbmoda'==3) {
-         local mod = "`mod'"+"(2.item`v'<-THETA@2 tt)(3.item`v'<-THETA@3 tt)"
-       }
-       local w= 100+`u'
-       if (resmat[1,`nbitems'+`v']!=testm[1,1]) {
-         local conformula = "`conformula'" + "`u' " + "`w' "
-       }
-   }
-   if ("`conformula'" != "") {
-     local mod = "`mod'" + "(THETA<-tt), mlogit tol(0.01) iterate(500) latent(THETA) nocapslatent constraint(`conformula')"
-   }
-   else {
-     local mod = "`mod'" + "(THETA<-tt), mlogit tol(0.01) iterate(500) latent(THETA) nocapslatent"
-   }
-   *calcul du modèle
-   qui `mod'
-   mat V=r(table)
-   mat W=V[1..2,1...]
-
-   * compilation
-   forvalues j=1/`nbitems' {
-     forvalues z=1/`nbmoda' {
-       mat outmat[`k',colnumb(outmat,"item`j'_`z'")] = W[1,colnumb(W,"`z'.item`j':_cons")]
-     }
-   }
-   * compilation DIF
-   forvalues u=1/`nbdetect' {
-     local j=`difitems`u''
-       forvalues z=1/`nbmoda' {
-         mat outmat[`k',colnumb(outmat,"dif_`u'_`z'")] = W[1,colnumb(W,"`z'.item`j':tt")]
-         mat outmat[`k',colnumb(outmat,"dif_detect_`u'")] = `j'
-       }
-     }
-
-   * Stocker les items de DIF originaux
-   if (`nbdif' > 0) {
-     qui levelsof dif1
-     local ldif1 = r(levels)
-     local diff1: word 1 of `ldif1'
-     qui mat outmat[`k',colnumb(outmat,"real_dif_1")]=`diff1'
-     if (`nbdif' > 1) {
-       qui levelsof dif2
-       local ldif2 = r(levels)
-       local diff2: word 1 of `ldif2'
-       qui mat outmat[`k',colnumb(outmat,"real_dif_2")]=`diff2'
-       if (`nbdif' > 2) {
-         qui levelsof dif3
-         local ldif3 = r(levels)
-         local diff3: word 1 of `ldif3'
-         qui mat outmat[`k',colnumb(outmat,"real_dif_3")]=`diff3'
-       }
-     }
-   }
-   qui mat outmat[`k',colnumb(outmat,"beta")]=W[1,colnumb(W,"THETA:tt")]
-   qui mat outmat[`k',colnumb(outmat,"se_beta")]=W[2,colnumb(W,"THETA:tt")]
-   restore
- }
- putexcel set "`path_res'/`s'`scen'_`Nn'_original.xls", sheet("outmat") replace
- putexcel A1=matrix(outmat), colnames
-}
-}
-}
diff --git a/Scripts/Analysis/DIF-ROSALI/pcm_dif_rosali.do b/Scripts/Analysis/DIF-ROSALI/pcm_dif_rosali.do
new file mode 100644
index 0000000..53e0e26
--- /dev/null
+++ b/Scripts/Analysis/DIF-ROSALI/pcm_dif_rosali.do
@@ -0,0 +1,364 @@
+*=================================================================================================================================================
+* Date : 2024-01-23
+* Stata version : Stata 18 SE
+*
+* This program analyses simulated data accounting for DIF through a partial credit model
+*
+* ado-files needed : - pcm, rosali (version 5.5 October 25, 2023, available on gitea)
+*
+*
+*================================================================================================================================================
+adopath+"/home/corentin/Documents/These/Recherche/ROSALI-SIM/Modules/rosali_custom"
+
+
+local N = "50 100 200 300"
+ local ss = "1 2 3 4 5 6 7 8 9 10 11 1 13 14 15 16 17 18 19 20"
+ foreach s in `ss' {
+ foreach Nnn in `N' {
+ local Nn =  `Nnn'
+ local path_data = "/home/corentin/Documents/These/Recherche/Simulations/Data/DIF/N`Nn'"
+ if (`s'<=4) {
+   local path_data = "/home/corentin/Documents/These/Recherche/Simulations/Data/NoDIF/N`Nn'"
+ }
+ local path_res = "/home/corentin/Documents/These/Recherche/Simulations/Analysis/ROSALI-DIF/N`Nn'"
+ local scenarios = "A B C D E F G"
+ foreach scen in `scenarios' {
+ clear
+ import delim "`path_data'/scenario_`s'`scen'_`Nn'.csv", encoding(ISO-8859-2)  case(preserve) clear
+ rename TT tt
+
+ if (`s'<=2) {
+   local nbitems=4
+ }
+ else if (`s'<=4) {
+   local nbitems=7
+ }
+ else if (`s'<=12) {
+   local nbitems=4
+ }
+ else {
+   local nbitems=7
+ }
+
+if (mod(`s',2)==0) {
+  local nbmoda=3
+}
+else {
+  local nbmoda=1
+}
+
+ if (`s'<=4) {
+   local nbdif=0
+ }
+ else if (`s'<=8) {
+   local nbdif=1
+ }
+ else if (`s'<=16) {
+   local nbdif=2
+ }
+ else {
+   local nbdif=3
+ }
+ * taillemat = Maximum J*M cases pour les items par et J*M cases pour les dif par + J cases pour les DIF detect + nbdif cases pour dif réel
+ local taillemat=2*`nbitems'*`nbmoda'+`nbitems'+`nbdif'+2
+ local colna=""
+ forvalues i=1/`nbitems' {
+   forvalues z=1/`nbmoda' {
+     local colna = "`colna'"+"item`i'_`z' "
+     local colna = "`colna'"+"dif_`i'_`z' "
+   }
+ }
+ forvalues i=1/`nbitems' {
+   local colna = "`colna'"+"dif_detect_`i' "
+ }
+
+ forvalues i=1/`nbdif' {
+   local colna = "`colna'"+"real_dif_`i' "
+ }
+local colna = "`colna'" + "beta " + "se_beta"
+
+
+ mat outmat = J(1000,`taillemat',.)
+ mat colnames outmat= `colna'
+ di "Scenario `s'`scen' / N=`Nnn'"
+ forvalues k=1/1000 {
+   if (mod(`k',100)==0) {
+     di "`k'/1000"
+   }
+   preserve
+   qui keep if replication==`k'
+
+
+   * MERGE des modalités si non représentées
+
+   if (`nbmoda'>1 & `Nn'==50) {
+         local com_z = 0
+         qui gen comz = 0
+         forvalues j = 1 / `nbitems' {
+         local recoda_`j' = 0
+         qui tab item`j' if tt == 0, matrow(rect1_g0_`j') matcell(nbrt1_g0_`j')
+         local maxm`j'_t1_g0 = rect1_g0_`j'[r(r),1]
+         local minm`j'_t1_g0 = rect1_g0_`j'[1,1]
+
+         qui tab item`j' if tt == 1, matrow(rect1_g1_`j') matcell(nbrt1_g1_`j')
+         local minm`j'_t1_g1 = rect1_g1_`j'[1,1]
+         local maxm`j'_t1_g1 = rect1_g1_`j'[r(r),1]
+
+         local minm_`j' = min(`minm`j'_t1_g0',`minm`j'_t1_g1')
+         local maxm_`j' = max(`maxm`j'_t1_g0',`maxm`j'_t1_g1')
+         local nbm_`j' =  `=`maxm_`j''-`minm_`j'''
+
+         if `minm_`j'' != 0 & `com_z' == 0 {
+           local com_z = 1
+         }
+
+         qui count if item`j' == 3 & tt == 0
+         local mod3plac = r(N)
+         qui count if item`j' == 3 & tt == 1
+         local mod3tt = r(N)
+         local nb_rn3 = min(`mod3plac',`mod3tt')
+         if `nb_rn3'==0 {
+           qui replace comz = 1
+         }
+
+         forvalues m = 0/`=`nbm_`j''-1' {
+           qui count if item`j' == `m' & tt == 0
+           local nb_rn1_g0 = r(N)
+           qui count if item`j' == `m' & tt == 1
+           local nb_rn1_g1 = r(N)
+           local nb_rn = min(`nb_rn1_g0',`nb_rn1_g1')
+           if `nb_rn' == 0 {
+             qui replace comz = 1
+             local recoda_`j' = 1
+             if  `m' == 0 | `m' < `minm`j'_t1_g0' | `m' < `minm`j'_t1_g1' {
+               local stop = 1
+               forvalues kk = 1/`=`nbm_`j''-`m'' {
+                 qui count if item`j' == `=`m' + `kk'' & tt == 0
+                 local v`kk'1_0 = r(N)
+                 qui count if item`j' == `=`m' + `kk'' & tt == 1
+                 local v`kk'1_1 = r(N)
+                 if (`v`kk'1_0' != 0 | `v`kk'1_1' != 0) & `stop' != 0 {
+                   qui replace item`j'= `=`m'+`kk'' if item`j'==`m'
+                   local zzz=`j'+`nbitems'
+                   *qui replace item`zzz'=`=`m'+`kk'' if item``=`j'+`nbitems'''==`m'
+                   *di  "WARNING SCENARIO `k': items `j': answers `m' and `=`m'+`kk'' merged"
+                   local stop = 0
+                 }
+               }
+             }
+             else if `m' == `=`nbm_`j''-1' | `m' >= `maxm`j'_t1_g1' {
+               local stop = 1
+               forvalues kk = 1/`=`m'' {
+                 qui count if item`j' == `=`m' - `kk'' & tt == 0
+                 local v`kk'1_0 = r(N)
+                 qui count if item`j' == `=`m' - `kk'' & tt == 1
+                 local v`kk'1_1 = r(N)
+                 if (`v`kk'1_0' != 0 | `v`kk'1_1' != 0) & `stop' != 0 {
+                   qui replace item`j'= `=`m' - `kk'' if item`j'==`m'
+                   local zzz=`j'+`nbitems'
+                   *qui replace item`zzz'= `=`m' - `kk'' if item`zzz'==`m'
+                   *di  "WARNING SCENARIO `k': items `j': answers `m' and `=`m'+`kk'' merged"
+                   local stop = 0
+                 }
+               }
+             }
+             else {
+               if runiform()>0.5{
+                 local stop = 1
+                 forvalues kk = 1/`m' {
+                   qui count if item`j' == `=`m' - `kk'' & tt == 0
+                   local v`kk'1_0 = r(N)
+                   qui count if item`j' == `=`m' - `kk'' & tt == 1
+                   local v`kk'1_1 = r(N)
+                   if (`v`kk'1_0' != 0 | `v`kk'1_1' != 0) & `stop' != 0 {
+                     qui replace item`j'= `=`m'-`kk'' if item`j'==`m'
+                     local zzz=`j'+`nbitems'
+                     *qui replace item`zzz'=`=`m'-`kk'' if item``=`j'+`nbitems'''==`m'
+                     *di  "WARNING SCENARIO `k': items `j': answers `m' and `=`m'+`kk'' merged"
+                     local stop = 0
+                   }
+                 }
+               }
+               else {
+                 local stop = 1
+                 forvalues kk = 1/`=`nbm_`j''-`m'' {
+                   qui count if item`j' == `=`m' + `kk'' & tt == 0
+                   local v`kk'1_0 = r(N)
+                   qui count if item`j' == `=`m' + `kk'' & tt == 1
+                   local v`kk'1_1 = r(N)
+                   if (`v`kk'1_0' != 0 | `v`kk'1_1' != 0) & `stop' != 0{
+                     qui replace item`j'=`=`m' + `kk'' if item`j'==`m'
+                     local zzz=`j'+`nbitems'
+                     *qui replace item`zzz'=`=`m' + `kk'' if item``=`j'+`nbitems'''==`m'
+                     *di  "WARNING SCENARIO `k': items `j': answers `m' and `=`m'+`kk'' merged"
+                     local stop = 0
+                   }
+                   else {
+                     if `stop' != 0 {
+                       qui replace item`j'= `nbm_`j'' if item`j'==`m'
+                       local zzz=`j'+`nbitems'
+                       *qui replace item`zzz'= `nbm_`j'' if item``=`j'+`nbitems'''==`m'
+                       *di  "WARNING SCENARIO `k': items `j': answers `m' and `=`m'+`kk'' merged"
+                       local stop = 0
+                     }
+                   }
+                 }
+               }
+             }
+           }
+         }
+         qui levelsof item`j'
+         local val = r(levels)
+         local checker: word 1 of `val'
+         local checker2: word 2 of `val'
+         local checker3: word 3 of `val'
+         local nummoda=r(r)
+         local nbmoda_`j'=`nummoda'
+         if (`nummoda'==2) {
+           qui recode item`j' (`checker'=0) (`checker2'=1)
+         }
+         if (`nummoda'==3) {
+         if (`checker'!=0) {
+           qui recode item`j' (`checker'=0) (`checker2'=1) (`checker3'=2)
+         }
+         else if (`checker2'!=1) {
+           qui recode item`j' (`checker2'=1) (`checker3'=2)
+         }
+         else if (`checker3'!=2) {
+           qui recode item`j' (`checker3'=2)
+         }
+       }
+     }
+
+     qui valuesof comz
+     local val = r(values)
+     local checker: word 1 of `val'
+   }
+   else {
+     forvalues jj=1/`nbitems' {
+       local nbmoda_`jj'=`nbmoda'
+     }
+   }
+
+
+   * ROSALI
+   qui rosali_original item1-item`nbitems' item1-item`nbitems', group(tt)
+   qui mat resmat=r(difitems)
+   local nbitems2 = 2*`nbitems'
+
+   * Calculer le nbre d'items détectés
+   local nbdetect = 0
+   local stop = 0
+   forvalues jj=1/`nbitems' {
+       if (`stop'==0) {
+         mat testm=J(1,1,.)
+         if (resmat[1,`jj']==testm[1,1]) {
+           local stop = 1
+           local nbdetect = `jj'-1
+         }
+       }
+   }
+
+   * Stocker les items détectés +
+   * Définition des contraintes
+   local csrt=0
+   mat testm=J(1,1,0)
+   forvalues u=1/`nbdetect' {
+      local difitems`u'=resmat[1,`u']
+       local i=`difitems`u''
+        if (`nbmoda_`i''==3 & resmat[1,`nbitems'+`i']!=testm[1,1]){
+         local constrnt`u' = "constraint `u' 2*([1.item`i']_cons-([1.item`i']_cons+[1.item`i'] tt))=([2.item`i']_cons-([2.item`i']_cons+[2.item`i'] tt))"
+         qui `constrnt`u''
+         local v=`u'+100
+         local constrnt`u'_2 = "constraint `v' 3*([1.item`i']_cons-([1.item`i']_cons+[1.item`i'] tt))=([3.item`i']_cons-([3.item`i']_cons+[3.item`i'] tt))"
+         qui `constrnt`u'_2'
+        }
+        if (`nbmoda_`i''==2 & resmat[1,`nbitems'+`i']!=testm[1,1]){
+         local constrnt`u' = "constraint `u' 2*([1.item`i']_cons-([1.item`i']_cons+[1.item`i'] tt))=([2.item`i']_cons-([2.item`i']_cons+[2.item`i'] tt))"
+         qui `constrnt`u''
+        }
+       }
+
+   * Définition du modèle
+   local mod "gsem "
+   local conformula = ""
+   forvalues i=1/`nbitems' {
+       local mod = "`mod'"+"(1.item`i'<-THETA@1)"
+       if (`nbmoda_`i''==3) {
+         local mod = "`mod'"+"(2.item`i'<-THETA@2)(3.item`i'<-THETA@3)"
+       }
+       else if (`nbmoda_`i''==2) {
+         local mod = "`mod'"+"(2.item`i'<-THETA@2)"
+       }
+   }
+   forvalues u=1/`nbdetect' {
+       local v=`difitems`u''
+       local mod = "`mod'"+"(1.item`v'<-THETA@1 tt)"
+       if (`nbmoda_`v''==3) {
+         local mod = "`mod'"+"(2.item`v'<-THETA@2 tt)(3.item`v'<-THETA@3 tt)"
+       }
+       else if (`nbmoda_`v''==2) {
+         local mod = "`mod'"+"(2.item`v'<-THETA@2 tt)"
+       }
+       local w= 100+`u'
+       if (resmat[1,`nbitems'+`v']!=testm[1,1] & `nbmoda_`v''==3) {
+         local conformula = "`conformula'" + "`u' " + "`w' "
+       }
+       else if (resmat[1,`nbitems'+`v']!=testm[1,1] & `nbmoda_`v''==2) {
+         local conformula = "`conformula'" + "`u' "
+       }
+   }
+   if ("`conformula'" != "") {
+     local mod = "`mod'" + "(THETA<-tt), mlogit tol(0.01) iterate(500) latent(THETA) nocapslatent constraint(`conformula')"
+   }
+   else {
+     local mod = "`mod'" + "(THETA<-tt), mlogit tol(0.01) iterate(500) latent(THETA) nocapslatent"
+   }
+   *calcul du modèle
+   qui `mod'
+   mat V=r(table)
+   mat W=V[1..2,1...]
+
+   * compilation
+   forvalues j=1/`nbitems' {
+     forvalues z=1/`nbmoda_`j'' {
+       mat outmat[`k',colnumb(outmat,"item`j'_`z'")] = W[1,colnumb(W,"`z'.item`j':_cons")]
+     }
+   }
+   * compilation DIF
+   forvalues u=1/`nbdetect' {
+     local j=`difitems`u''
+       forvalues z=1/`nbmoda_`j'' {
+         mat outmat[`k',colnumb(outmat,"dif_`u'_`z'")] = W[1,colnumb(W,"`z'.item`j':tt")]
+         mat outmat[`k',colnumb(outmat,"dif_detect_`u'")] = `j'
+       }
+     }
+
+   * Stocker les items de DIF originaux
+   if (`nbdif' > 0) {
+     qui levelsof dif1
+     local ldif1 = r(levels)
+     local diff1: word 1 of `ldif1'
+     qui mat outmat[`k',colnumb(outmat,"real_dif_1")]=`diff1'
+     if (`nbdif' > 1) {
+       qui levelsof dif2
+       local ldif2 = r(levels)
+       local diff2: word 1 of `ldif2'
+       qui mat outmat[`k',colnumb(outmat,"real_dif_2")]=`diff2'
+       if (`nbdif' > 2) {
+         qui levelsof dif3
+         local ldif3 = r(levels)
+         local diff3: word 1 of `ldif3'
+         qui mat outmat[`k',colnumb(outmat,"real_dif_3")]=`diff3'
+       }
+     }
+   }
+   qui mat outmat[`k',colnumb(outmat,"beta")]=W[1,colnumb(W,"THETA:tt")]
+   qui mat outmat[`k',colnumb(outmat,"se_beta")]=W[2,colnumb(W,"THETA:tt")]
+   restore
+ }
+ putexcel set "`path_res'/`s'`scen'_`Nn'_original.xls", sheet("outmat") replace
+ putexcel A1=matrix(outmat), colnames
+}
+}
+}