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@ -1,3 +1,163 @@
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*=================================================================================================================================
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* Date : 2024-01-23
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* Stata version : Stata 18 SE
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*
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* This program analyses simulated data accounting for DIF through a partial credit model
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*
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* ado-files needed : - pcm (version 5.5 October 25, 2023, available on gitea)
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*
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* outputs : for N=100
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*
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*
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*================================================================================================================================================
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* Load pcm.ado
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adopath+"/home/corentin/Documents/These/Recherche/Simulations/Modules/"
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*==========================
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* Scenarios with : J=4
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*==========================
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*************************************************** Scenarios with DIF on 1 item
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************************************************** Scenario 5: J = 4 items / M = 2 modalities / DIF size 0.3
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local N = "50"
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foreach Nnn in `N' {
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local Nn = `Nnn'
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local path_data = "/home/corentin/Documents/These/Recherche/Simulations/Data/DIF/N`Nn'"
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local path_res = "/home/corentin/Documents/These/Recherche/Simulations/Analysis/DIF/N`Nn'"
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local scenarios = "A B C D E F G"
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foreach scen in `scenarios' {
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clear
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import delim "`path_data'/scenario_5`scen'_`Nn'.csv", encoding(ISO-8859-2) case(preserve) clear
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rename TT tt
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* Matrice de taille 1000 * 4 items + 1 DIF + beta + std beta + 1 dif
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local nbitems = 4
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local nbdif = 1
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local taillemat = `nbitems'+`nbdif'+3
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mat outmat = J(1000,`taillemat',.)
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mat colnames outmat = "item1" "item2" "item3" "item4" "dif1" "beta" "se_beta" "dif_item_1"
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di "Scenario 5`scen' / N=`Nnn'"
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forvalues k=1/1000 {
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if (mod(`k',100)==0) {
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di "`k'/1000"
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}
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preserve
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qui keep if replication==`k'
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local difitems1=dif1
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local mod "gsem "
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forvalues i=1/`nbitems' {
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if (`i'==`difitems1') {
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local mod = "`mod'"+"(1.item`i'<-THETA@1 tt)"
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}
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else {
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local mod = "`mod'"+"(1.item`i'<-THETA@1)"
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}
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}
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local mod = "`mod'" + "(THETA<-tt), mlogit tol(0.01) iterate(500) latent(THETA) nocapslatent"
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qui `mod'
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mat V=r(table)
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mat W=V[1..2,1...]
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forvalues j=1/`nbitems' {
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if (`j'<`difitems1') {
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mat outmat[`k',`j'] = W[1,3*`j'] // items avant le premier dif
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}
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else {
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mat outmat[`k',`j'] = W[1,1+3*`j'] // items après le premier dif
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}
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}
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mat outmat[`k',`nbitems'+1] = W[1,3*`difitems1'-1] // coef de dif
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mat outmat[`k',`nbitems'+2] = W[1,3*`nbitems'+2] // beta
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mat outmat[`k',`nbitems'+3] = W[2,3*`nbitems'+2] // se beta
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mat outmat[`k',`nbitems'+4] = `difitems1' // numéro item de dif
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restore
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}
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putexcel set "`path_res'/out/5`scen'_`Nn'.xls", sheet("outmat") replace
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putexcel A1=matrix(outmat), colnames
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}
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}
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************************************************** Scenario 6: J = 4 items / M = 4 modalities / DIF size 0.3
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local N = "50"
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foreach Nnn in `N' {
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local Nn = `Nnn'
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local path_data = "/home/corentin/Documents/These/Recherche/Simulations/Data/DIF/N`Nn'"
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local path_res = "/home/corentin/Documents/These/Recherche/Simulations/Analysis/DIF/N`Nn'"
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local scenarios = "A B C D E F G"
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foreach scen in `scenarios' {
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clear
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import delim "`path_data'/scenario_6`scen'_`Nn'.csv", encoding(ISO-8859-2) case(preserve) clear
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rename TT tt
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* Matrice de taille 1000 * 4 items + 1 DIF + beta + std beta + 1 dif
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local nbitems = 4
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local nbdif = 1
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local taillemat = 3*`nbitems'+`nbdif'+3+2
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mat outmat = J(1000,`taillemat',.)
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mat colnames outmat = "item1_1" "item1_2" "item1_3" "item2_1" "item2_2" "item2_3" "item3_1" "item3_2" "item3_3" "item4_1" "item4_2" "item4_3" "dif1_1" "dif1_2" "dif1_3" "beta" "se_beta" "dif_item_1"
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di "Scenario 6`scen' / N=`Nnn'"
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forvalues k=1/1000 {
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if (mod(`k',100)==0) {
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di "`k'/1000"
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}
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preserve
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qui keep if replication==`k'
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local difitems1=dif1
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forvalues i=1/`nbitems' {
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if (`i'==`difitems1') {
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local constrnt = "constraint 1 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))"
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local constrnt2 = "constraint 2 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))"
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}
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}
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local mod "gsem "
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forvalues i=1/`nbitems' {
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if (`i'==`difitems1') {
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local mod = "`mod'"+"(1.item`i'<-THETA@1 tt)(2.item`i'<-THETA@2 tt)(3.item`i'<-THETA@3 tt)"
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}
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else {
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local mod = "`mod'"+"(1.item`i'<-THETA@1)(2.item`i'<-THETA@2)(3.item`i'<-THETA@3)"
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}
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}
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local mod = "`mod'" + "(THETA<-tt), mlogit tol(0.01) iterate(500) latent(THETA) nocapslatent constraint(1 2)"
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qui `constrnt'
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qui `constrnt2'
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qui `mod'
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mat V=r(table)
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mat W=V[1..2,1...]
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forvalues j=1/`nbitems' {
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if (`j'<`difitems1') {
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mat outmat[`k',3*`j'-2] = W[1,7*(`j'-1)+3] // items avant le premier dif
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mat outmat[`k',3*`j'-1] = W[1,7*(`j'-1)+5] // items avant le premier dif
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mat outmat[`k',3*`j'] = W[1,7*(`j'-1)+7] // items avant le premier dif
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}
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else if (`j'==`difitems1') {
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mat outmat[`k',3*`j'-2] = W[1,7*(`j'-1)+4] // items du le premier dif
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mat outmat[`k',3*`j'-1] = W[1,7*(`j'-1)+7] // items du le premier dif
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mat outmat[`k',3*`j'] = W[1,7*(`j'-1)+10] // items du le premier dif }
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}
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else {
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mat outmat[`k',3*`j'-2] = W[1,7*(`j'-1)+6] // items avant le premier dif
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mat outmat[`k',3*`j'-1] = W[1,7*(`j'-1)+8] // items avant le premier dif
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mat outmat[`k',3*`j'] = W[1,7*(`j'-1)+10] // items avant le premier dif
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}
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}
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mat outmat[`k',3*`nbitems'+1] = W[1,7*(`difitems1'-1)+2] // coef de dif
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mat outmat[`k',3*`nbitems'+2] = W[1,7*(`difitems1'-1)+5] // coef de dif
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mat outmat[`k',3*`nbitems'+3] = W[1,7*(`difitems1'-1)+8] // coef de dif
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mat outmat[`k',3*`nbitems'+4] = W[1,7*`nbitems'+4] // beta
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mat outmat[`k',3*`nbitems'+5] = W[2,7*`nbitems'+4] // se beta
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mat outmat[`k',3*`nbitems'+6] = `difitems1' // numéro item de dif
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restore
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}
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putexcel set "`path_res'/out/6`scen'_`Nn'.xls", sheet("outmat") replace
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putexcel A1=matrix(outmat), colnames
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}
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}
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************************************************** Scenario 7: J = 4 items / M = 2 modalities / DIF size 0.5
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local N = "50"
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local N = "50"
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foreach Nnn in `N' {
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foreach Nnn in `N' {
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local Nn = `Nnn'
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local Nn = `Nnn'
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@ -6,23 +166,82 @@ local path_res = "/home/corentin/Documents/These/Recherche/Simulations/Analysis/
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local scenarios = "A B C D E F G"
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local scenarios = "A B C D E F G"
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foreach scen in `scenarios' {
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foreach scen in `scenarios' {
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clear
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clear
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import delim "`path_data'/scenario_20`scen'_`Nn'.csv", encoding(ISO-8859-2) case(preserve) clear
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import delim "`path_data'/scenario_7`scen'_`Nn'.csv", encoding(ISO-8859-2) case(preserve) clear
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rename TT tt
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rename TT tt
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* Matrice de taille 1000 * 4 items + 1 DIF + beta + std beta + 1 dif
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* Matrice de taille 1000 * 4 items + 1 DIF + beta + std beta + 1 dif
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local nbitems = 7
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local nbitems = 4
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local nbdif = 3
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local nbdif = 1
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local taillemat = 3*`nbitems'+9+2+`nbdif'
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local taillemat = `nbitems'+`nbdif'+3
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mat outmat = J(1000,`taillemat',.)
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mat outmat = J(1000,`taillemat',.)
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mat colnames outmat = "item1_1" "item1_2" "item1_3" "item2_1" "item2_2" "item2_3" "item3_1" "item3_2" "item3_3" "item4_1" "item4_2" "item4_3" "item5_1" "item5_2" "item5_3" "item6_1" "item6_2" "item6_3" "item7_1" "item7_2" "item7_3" "dif1_1" "dif1_2" "dif1_3" "dif2_1" "dif2_2" "dif2_3" "dif3_1" "dif3_2" "dif3_3" "beta" "se_beta" "dif_item_1" "dif_item_2" "dif_item_3"
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mat colnames outmat = "item1" "item2" "item3" "item4" "dif1" "beta" "se_beta" "dif_item_1"
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di "Scenario 20`scen' / N=`Nnn'"
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di "Scenario 7`scen' / N=`Nnn'"
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forvalues k=1/1000 {
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forvalues k=1/1000 {
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if (mod(`k',100)==0) {
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if (mod(`k',100)==0) {
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di "`k'/1000"
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di "`k'/1000"
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}
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}
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preserve
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preserve
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qui keep if replication==`k'
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qui keep if replication==`k'
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local difitems1=dif1
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local mod "gsem "
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forvalues i=1/`nbitems' {
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if (`i'==`difitems1') {
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local mod = "`mod'"+"(1.item`i'<-THETA@1 tt)"
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}
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else {
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local mod = "`mod'"+"(1.item`i'<-THETA@1)"
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}
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}
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local mod = "`mod'" + "(THETA<-tt), mlogit tol(0.01) iterate(500) latent(THETA) nocapslatent"
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qui `mod'
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mat V=r(table)
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mat W=V[1..2,1...]
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forvalues j=1/`nbitems' {
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if (`j'<`difitems1') {
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mat outmat[`k',`j'] = W[1,3*`j'] // items avant le premier dif
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}
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else {
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mat outmat[`k',`j'] = W[1,1+3*`j'] // items après le premier dif
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}
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}
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mat outmat[`k',`nbitems'+1] = W[1,3*`difitems1'-1] // coef de dif
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mat outmat[`k',`nbitems'+2] = W[1,3*`nbitems'+2] // beta
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mat outmat[`k',`nbitems'+3] = W[2,3*`nbitems'+2] // se beta
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mat outmat[`k',`nbitems'+4] = `difitems1' // numéro item de dif
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restore
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}
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putexcel set "`path_res'/out/7`scen'_`Nn'.xls", sheet("outmat") replace
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putexcel A1=matrix(outmat), colnames
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}
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}
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************************************************** Scenario 8: J = 4 items / M = 4 modalities / DIF size 0.5
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local N = "50"
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foreach Nnn in `N' {
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local Nn = `Nnn'
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local path_data = "/home/corentin/Documents/These/Recherche/Simulations/Data/DIF/N`Nn'"
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local path_res = "/home/corentin/Documents/These/Recherche/Simulations/Analysis/DIF/N`Nn'"
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local scenarios = "A B C D E F G"
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foreach scen in `scenarios' {
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clear
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import delim "`path_data'/scenario_8`scen'_`Nn'.csv", encoding(ISO-8859-2) case(preserve) clear
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rename TT tt
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* Matrice de taille 1000 * 4 items + 1 DIF + beta + std beta + 1 dif
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local nbitems = 4
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local nbdif = 1
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local taillemat = 3*`nbitems'+`nbdif'+3+2
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mat outmat = J(1000,`taillemat',.)
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mat colnames outmat = "item1_1" "item1_2" "item1_3" "item2_1" "item2_2" "item2_3" "item3_1" "item3_2" "item3_3" "item4_1" "item4_2" "item4_3" "dif1_1" "dif1_2" "dif1_3" "beta" "se_beta" "dif_item_1"
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|
di "Scenario 8`scen' / N=`Nnn'"
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|
forvalues k=1/1000 {
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|
if (mod(`k',100)==0) {
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|
di "`k'/1000"
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}
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|
preserve
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qui keep if replication==`k'
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|
|
* MERGE des modalités si non représentées
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|
* MERGE des modalités si non représentées
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|
|
local com_z = 0
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|
|
local com_z = 0
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|
@ -44,6 +263,7 @@ forvalues k=1/1000 {
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|
if `minm_`j'' != 0 & `com_z' == 0 {
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|
if `minm_`j'' != 0 & `com_z' == 0 {
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|
|
local com_z = 1
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|
|
local com_z = 1
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|
|
}
|
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|
}
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|
|
qui count if item`j' == 3 & tt == 0
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|
|
qui count if item`j' == 3 & tt == 0
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|
|
local mod3plac = r(N)
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|
|
local mod3plac = r(N)
|
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|
|
qui count if item`j' == 3 & tt == 1
|
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|
|
qui count if item`j' == 3 & tt == 1
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|
|
@ -153,68 +373,43 @@ forvalues k=1/1000 {
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|
|
else if (`checker3'!=2) {
|
|
|
|
else if (`checker3'!=2) {
|
|
|
|
qui recode item`j' (`checker3'=2)
|
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|
|
qui recode item`j' (`checker3'=2)
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|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
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|
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|
|
qui valuesof comz
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|
|
qui valuesof comz
|
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|
|
local val = r(values)
|
|
|
|
local val = r(values)
|
|
|
|
local checker: word 1 of `val'
|
|
|
|
local checker: word 1 of `val'
|
|
|
|
|
|
|
|
|
|
|
|
* replications avec 3 mod
|
|
|
|
* replications avec 3 mod
|
|
|
|
if (`checker' == 1) {
|
|
|
|
if (`checker' == 1) {
|
|
|
|
local difitems1=dif1
|
|
|
|
local difitems1=dif1
|
|
|
|
local difitems2=dif2
|
|
|
|
local difcheck = 0
|
|
|
|
local difitems3=dif3
|
|
|
|
|
|
|
|
local difcheck = 0
|
|
|
|
|
|
|
|
local difcheck2 = 0
|
|
|
|
|
|
|
|
local difcheck3 = 0
|
|
|
|
|
|
|
|
forvalues i=1/`nbitems' {
|
|
|
|
forvalues i=1/`nbitems' {
|
|
|
|
qui sum item`i'
|
|
|
|
qui sum item`i'
|
|
|
|
local checker2 = r(max)
|
|
|
|
local checker2 = r(max)
|
|
|
|
|
|
|
|
if (`i'==`difitems1') {
|
|
|
|
if (`i'==`difitems1') {
|
|
|
|
|
|
|
|
if (`checker2'==3) {
|
|
|
|
if (`checker2'==3) {
|
|
|
|
local difcheck = 1
|
|
|
|
local difcheck = 1
|
|
|
|
local constrnt = "constraint 1 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))"
|
|
|
|
local constrnt = "constraint 1 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))"
|
|
|
|
local constrnt3 = "constraint 3 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))"
|
|
|
|
local constrnt2 = "constraint 2 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))"
|
|
|
|
}
|
|
|
|
}
|
|
|
|
else {
|
|
|
|
else {
|
|
|
|
local constrnt = "constraint 1 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))"
|
|
|
|
local constrnt = "constraint 1 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))"
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
if (`i'==`difitems2') {
|
|
|
|
|
|
|
|
if (`checker2'==3) {
|
|
|
|
|
|
|
|
local difcheck2=1
|
|
|
|
|
|
|
|
local constrnt2 = "constraint 2 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))"
|
|
|
|
|
|
|
|
local constrnt4 = "constraint 4 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))"
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
else {
|
|
|
|
|
|
|
|
local constrnt2 = "constraint 2 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))"
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
if (`i'==`difitems3') {
|
|
|
|
|
|
|
|
if (`checker2'==3) {
|
|
|
|
|
|
|
|
local difcheck3=1
|
|
|
|
|
|
|
|
local constrnt5 = "constraint 5 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))"
|
|
|
|
|
|
|
|
local constrnt6 = "constraint 6 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))"
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
else {
|
|
|
|
|
|
|
|
local constrnt5 = "constraint 5 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))"
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
local mod "gsem "
|
|
|
|
local mod "gsem "
|
|
|
|
forvalues i=1/`nbitems' {
|
|
|
|
forvalues i=1/`nbitems' {
|
|
|
|
qui sum item`i'
|
|
|
|
qui sum item`i'
|
|
|
|
local checker2 = r(max)
|
|
|
|
local checker2 = r(max)
|
|
|
|
if (`i'==`difitems1'| `i'==`difitems2'| `i'==`difitems3') {
|
|
|
|
if (`i'==`difitems1') {
|
|
|
|
if (`checker2'==3) {
|
|
|
|
if (`checker2'==3) {
|
|
|
|
local mod = "`mod'"+"(1.item`i'<-THETA@1 tt)(2.item`i'<-THETA@2 tt)(3.item`i'<-THETA@3 tt)"
|
|
|
|
local mod = "`mod'"+"(1.item`i'<-THETA@1 tt)(2.item`i'<-THETA@2 tt)(3.item`i'<-THETA@3 tt)"
|
|
|
|
}
|
|
|
|
}
|
|
|
|
else {
|
|
|
|
else {
|
|
|
|
local mod = "`mod'"+"(1.item`i'<-THETA@1 tt)(2.item`i'<-THETA@2 tt)"
|
|
|
|
local mod = "`mod'"+"(1.item`i'<-THETA@1 tt)(2.item`i'<-THETA@2 tt)"
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
else {
|
|
|
|
else {
|
|
|
|
if (`checker2'==3) {
|
|
|
|
if (`checker2'==3) {
|
|
|
|
local mod = "`mod'"+"(1.item`i'<-THETA@1)(2.item`i'<-THETA@2)(3.item`i'<-THETA@3)"
|
|
|
|
local mod = "`mod'"+"(1.item`i'<-THETA@1)(2.item`i'<-THETA@2)(3.item`i'<-THETA@3)"
|
|
|
|
}
|
|
|
|
}
|
|
|
|
@ -224,52 +419,14 @@ forvalues i=1/`nbitems' {
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
if (`difcheck'==1) {
|
|
|
|
if (`difcheck'==1) {
|
|
|
|
if (`difcheck2'==1) {
|
|
|
|
local mod = "`mod'" + "(THETA<-tt), mlogit tol(0.01) iterate(500) latent(THETA) nocapslatent constraint(1 2)"
|
|
|
|
if (`difcheck3'==1) {
|
|
|
|
|
|
|
|
local mod = "`mod'" + "(THETA<-tt), mlogit tol(0.01) iterate(500) latent(THETA) nocapslatent constraint(1 2 3 4 5 6)"
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
else {
|
|
|
|
|
|
|
|
local mod = "`mod'" + "(THETA<-tt), mlogit tol(0.01) iterate(500) latent(THETA) nocapslatent constraint(1 2 3 4 5)"
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
else {
|
|
|
|
|
|
|
|
if (`difcheck3'==1) {
|
|
|
|
|
|
|
|
local mod = "`mod'" + "(THETA<-tt), mlogit tol(0.01) iterate(500) latent(THETA) nocapslatent constraint(1 2 3 5 6)"
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
else {
|
|
|
|
|
|
|
|
local mod = "`mod'" + "(THETA<-tt), mlogit tol(0.01) iterate(500) latent(THETA) nocapslatent constraint(1 2 3 5)"
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
}
|
|
|
|
else {
|
|
|
|
if (`difcheck'==0) {
|
|
|
|
if (`difcheck2'==1) {
|
|
|
|
local mod = "`mod'" + "(THETA<-tt), mlogit tol(0.01) iterate(500) latent(THETA) nocapslatent constraint(1)"
|
|
|
|
if (`difcheck3'==1) {
|
|
|
|
|
|
|
|
local mod = "`mod'" + "(THETA<-tt), mlogit tol(0.01) iterate(500) latent(THETA) nocapslatent constraint(1 2 4 5 6)"
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
else {
|
|
|
|
|
|
|
|
local mod = "`mod'" + "(THETA<-tt), mlogit tol(0.01) iterate(500) latent(THETA) nocapslatent constraint(1 2 4 5)"
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
else {
|
|
|
|
|
|
|
|
if (`difcheck3'==1) {
|
|
|
|
|
|
|
|
local mod = "`mod'" + "(THETA<-tt), mlogit tol(0.01) iterate(500) latent(THETA) nocapslatent constraint(1 2 5 6)"
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
else {
|
|
|
|
|
|
|
|
local mod = "`mod'" + "(THETA<-tt), mlogit tol(0.01) iterate(500) latent(THETA) nocapslatent constraint(1 2 5)"
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
}
|
|
|
|
qui `constrnt'
|
|
|
|
qui `constrnt'
|
|
|
|
qui `constrnt2'
|
|
|
|
|
|
|
|
qui `constrnt5'
|
|
|
|
|
|
|
|
if (`difcheck'==1) {
|
|
|
|
if (`difcheck'==1) {
|
|
|
|
qui `constrnt3'
|
|
|
|
qui `constrnt2'
|
|
|
|
}
|
|
|
|
|
|
|
|
if (`difcheck2'==1) {
|
|
|
|
|
|
|
|
qui `constrnt4'
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
if (`difcheck3'==1) {
|
|
|
|
|
|
|
|
qui `constrnt6'
|
|
|
|
|
|
|
|
}
|
|
|
|
}
|
|
|
|
qui `mod'
|
|
|
|
qui `mod'
|
|
|
|
mat V=r(table)
|
|
|
|
mat V=r(table)
|
|
|
|
@ -280,139 +437,462 @@ forvalues j=1/`nbitems' {
|
|
|
|
mat outmat[`k',3*`j'-1] = W[1,colnumb(W,"2.item`j':_cons")] // items avant le premier dif
|
|
|
|
mat outmat[`k',3*`j'-1] = W[1,colnumb(W,"2.item`j':_cons")] // items avant le premier dif
|
|
|
|
mat outmat[`k',3*`j'] = W[1,colnumb(W,"3.item`j':_cons")] // items avant le premier dif
|
|
|
|
mat outmat[`k',3*`j'] = W[1,colnumb(W,"3.item`j':_cons")] // items avant le premier dif
|
|
|
|
}
|
|
|
|
}
|
|
|
|
mat outmat[`k',3*`nbitems'+1] = W[1,colnumb(W,"1.item`difitems1':tt")] // coef de dif
|
|
|
|
mat outmat[`k',3*`nbitems'+1] = W[1,colnumb(W,"1.item`difitems1':tt")] // coef de dif
|
|
|
|
mat outmat[`k',3*`nbitems'+2] = W[1,colnumb(W,"2.item`difitems1':tt")] // coef de dif
|
|
|
|
mat outmat[`k',3*`nbitems'+2] = W[1,colnumb(W,"2.item`difitems1':tt")] // coef de dif
|
|
|
|
mat outmat[`k',3*`nbitems'+3] = W[1,colnumb(W,"3.item`difitems1':tt")] // coef de dif
|
|
|
|
mat outmat[`k',3*`nbitems'+3] = W[1,colnumb(W,"3.item`difitems1':tt")] // coef de dif
|
|
|
|
mat outmat[`k',3*`nbitems'+4] = W[1,colnumb(W,"1.item`difitems2':tt")] // coef de dif
|
|
|
|
mat outmat[`k',3*`nbitems'+4] = W[1,colnumb(W,"THETA:tt")] // beta
|
|
|
|
mat outmat[`k',3*`nbitems'+5] = W[1,colnumb(W,"2.item`difitems2':tt")] // coef de dif
|
|
|
|
mat outmat[`k',3*`nbitems'+5] = W[2,colnumb(W,"THETA:tt")] // se beta
|
|
|
|
mat outmat[`k',3*`nbitems'+6] = W[1,colnumb(W,"3.item`difitems2':tt")] // coef de dif
|
|
|
|
mat outmat[`k',3*`nbitems'+6] = `difitems1' // numéro item de dif
|
|
|
|
mat outmat[`k',3*`nbitems'+7] = W[1,colnumb(W,"1.item`difitems3':tt")] // coef de dif
|
|
|
|
restore
|
|
|
|
mat outmat[`k',3*`nbitems'+8] = W[1,colnumb(W,"2.item`difitems3':tt")] // coef de dif
|
|
|
|
|
|
|
|
mat outmat[`k',3*`nbitems'+9] = W[1,colnumb(W,"3.item`difitems3':tt")] // coef de dif
|
|
|
|
|
|
|
|
mat outmat[`k',3*`nbitems'+10] = W[1,colnumb(W,"THETA:tt")] // beta
|
|
|
|
|
|
|
|
mat outmat[`k',3*`nbitems'+11] = W[2,colnumb(W,"THETA:tt")] // se beta
|
|
|
|
|
|
|
|
mat outmat[`k',3*`nbitems'+12] = `difitems1' // numéro item de dif
|
|
|
|
|
|
|
|
mat outmat[`k',3*`nbitems'+13] = `difitems2' // numéro item de dif
|
|
|
|
|
|
|
|
mat outmat[`k',3*`nbitems'+14] = `difitems3' // numéro item de dif
|
|
|
|
|
|
|
|
restore
|
|
|
|
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
* replications sans problèmes
|
|
|
|
* replications sans problèmes
|
|
|
|
else {
|
|
|
|
else {
|
|
|
|
local difitems1=dif1
|
|
|
|
local difitems1=dif1
|
|
|
|
local difitems2=dif2
|
|
|
|
forvalues i=1/`nbitems' {
|
|
|
|
local difitems3=dif3
|
|
|
|
if (`i'==`difitems1') {
|
|
|
|
if (`difitems1' < `difitems2') {
|
|
|
|
|
|
|
|
local difitemsmin= `difitems1'
|
|
|
|
|
|
|
|
local difitemsmax= `difitems2'
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
else {
|
|
|
|
|
|
|
|
local difitemsmin= `difitems2'
|
|
|
|
|
|
|
|
local difitemsmax= `difitems1'
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
if (`difitems3' < `difitemsmin') {
|
|
|
|
|
|
|
|
local difitemsmid = `difitemsmin'
|
|
|
|
|
|
|
|
local difitemsmin= `difitems3'
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
else if (`difitems3' > `difitemsmax') {
|
|
|
|
|
|
|
|
local difitemsmid = `difitemsmax'
|
|
|
|
|
|
|
|
local difitemsmax= `difitems3'
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
else {
|
|
|
|
|
|
|
|
local difitemsmid = `difitems3'
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
forvalues i=1/`nbitems' {
|
|
|
|
|
|
|
|
if (`i'==`difitemsmin') {
|
|
|
|
|
|
|
|
local constrnt = "constraint 1 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))"
|
|
|
|
local constrnt = "constraint 1 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))"
|
|
|
|
local constrnt2 = "constraint 2 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))"
|
|
|
|
local constrnt2 = "constraint 2 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))"
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
forvalues i=1/`nbitems' {
|
|
|
|
local mod "gsem "
|
|
|
|
if (`i'==`difitemsmax') {
|
|
|
|
forvalues i=1/`nbitems' {
|
|
|
|
local constrn3 = "constraint 3 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))"
|
|
|
|
if (`i'==`difitems1') {
|
|
|
|
local constrnt4 = "constraint 4 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))"
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
forvalues i=1/`nbitems' {
|
|
|
|
|
|
|
|
if (`i'==`difitemsmid') {
|
|
|
|
|
|
|
|
local constrn5 = "constraint 5 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))"
|
|
|
|
|
|
|
|
local constrnt6 = "constraint 6 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))"
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
local mod "gsem "
|
|
|
|
|
|
|
|
forvalues i=1/`nbitems' {
|
|
|
|
|
|
|
|
if (`i'==`difitemsmin' | `i'==`difitemsmax' | `i'==`difitemsmid') {
|
|
|
|
|
|
|
|
local mod = "`mod'"+"(1.item`i'<-THETA@1 tt)(2.item`i'<-THETA@2 tt)(3.item`i'<-THETA@3 tt)"
|
|
|
|
local mod = "`mod'"+"(1.item`i'<-THETA@1 tt)(2.item`i'<-THETA@2 tt)(3.item`i'<-THETA@3 tt)"
|
|
|
|
}
|
|
|
|
}
|
|
|
|
else {
|
|
|
|
else {
|
|
|
|
local mod = "`mod'"+"(1.item`i'<-THETA@1)(2.item`i'<-THETA@2)(3.item`i'<-THETA@3)"
|
|
|
|
local mod = "`mod'"+"(1.item`i'<-THETA@1)(2.item`i'<-THETA@2)(3.item`i'<-THETA@3)"
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
local mod = "`mod'" + "(THETA<-tt), mlogit tol(0.01) iterate(500) latent(THETA) nocapslatent constraint(1 2 3 4 5 6)"
|
|
|
|
local mod = "`mod'" + "(THETA<-tt), mlogit tol(0.01) iterate(500) latent(THETA) nocapslatent constraint(1 2)"
|
|
|
|
qui `constrnt'
|
|
|
|
qui `constrnt'
|
|
|
|
qui `constrnt2'
|
|
|
|
qui `constrnt2'
|
|
|
|
qui `constrnt3'
|
|
|
|
qui `mod'
|
|
|
|
qui `constrnt4'
|
|
|
|
mat V=r(table)
|
|
|
|
qui `constrnt6'
|
|
|
|
mat W=V[1..2,1...]
|
|
|
|
qui `constrnt6'
|
|
|
|
forvalues j=1/`nbitems' {
|
|
|
|
qui `mod'
|
|
|
|
if (`j'<`difitems1') {
|
|
|
|
mat V=r(table)
|
|
|
|
|
|
|
|
mat W=V[1..2,1...]
|
|
|
|
|
|
|
|
forvalues j=1/`nbitems' {
|
|
|
|
|
|
|
|
if (`j'<`difitemsmin') {
|
|
|
|
|
|
|
|
mat outmat[`k',3*`j'-2] = W[1,7*(`j'-1)+3] // items avant le premier dif
|
|
|
|
mat outmat[`k',3*`j'-2] = W[1,7*(`j'-1)+3] // items avant le premier dif
|
|
|
|
mat outmat[`k',3*`j'-1] = W[1,7*(`j'-1)+5] // items avant le premier dif
|
|
|
|
mat outmat[`k',3*`j'-1] = W[1,7*(`j'-1)+5] // items avant le premier dif
|
|
|
|
mat outmat[`k',3*`j'] = W[1,7*(`j'-1)+7] // items avant le premier dif
|
|
|
|
mat outmat[`k',3*`j'] = W[1,7*(`j'-1)+7] // items avant le premier dif
|
|
|
|
}
|
|
|
|
}
|
|
|
|
else if (`j'==`difitemsmin') {
|
|
|
|
else if (`j'==`difitems1') {
|
|
|
|
mat outmat[`k',3*`j'-2] = W[1,7*(`j'-1)+4] // items du le premier dif
|
|
|
|
mat outmat[`k',3*`j'-2] = W[1,7*(`j'-1)+4] // items du le premier dif
|
|
|
|
mat outmat[`k',3*`j'-1] = W[1,7*(`j'-1)+7] // items du le premier dif
|
|
|
|
mat outmat[`k',3*`j'-1] = W[1,7*(`j'-1)+7] // items du le premier dif
|
|
|
|
mat outmat[`k',3*`j'] = W[1,7*(`j'-1)+10] // items du le premier dif }
|
|
|
|
mat outmat[`k',3*`j'] = W[1,7*(`j'-1)+10] // items du le premier dif }
|
|
|
|
}
|
|
|
|
}
|
|
|
|
else if (`j'<`difitemsmid') {
|
|
|
|
else {
|
|
|
|
mat outmat[`k',3*`j'-2] = W[1,7*(`j'-1)+6] // items avant le premier dif
|
|
|
|
mat outmat[`k',3*`j'-2] = W[1,7*(`j'-1)+6] // items avant le premier dif
|
|
|
|
mat outmat[`k',3*`j'-1] = W[1,7*(`j'-1)+8] // items avant le premier dif
|
|
|
|
mat outmat[`k',3*`j'-1] = W[1,7*(`j'-1)+8] // items avant le premier dif
|
|
|
|
mat outmat[`k',3*`j'] = W[1,7*(`j'-1)+10] // items avant le premier dif
|
|
|
|
mat outmat[`k',3*`j'] = W[1,7*(`j'-1)+10] // items avant le premier dif
|
|
|
|
}
|
|
|
|
}
|
|
|
|
else if (`j'==`difitemsmid') {
|
|
|
|
}
|
|
|
|
mat outmat[`k',3*`j'-2] = W[1,7*(`j'-1)+7] // items avant le premier dif
|
|
|
|
mat outmat[`k',3*`nbitems'+1] = W[1,7*(`difitems1'-1)+2] // coef de dif
|
|
|
|
mat outmat[`k',3*`j'-1] = W[1,7*(`j'-1)+10] // items avant le premier dif
|
|
|
|
mat outmat[`k',3*`nbitems'+2] = W[1,7*(`difitems1'-1)+5] // coef de dif
|
|
|
|
mat outmat[`k',3*`j'] = W[1,7*(`j'-1)+13] // items avant le premier dif
|
|
|
|
mat outmat[`k',3*`nbitems'+3] = W[1,7*(`difitems1'-1)+8] // coef de dif
|
|
|
|
}
|
|
|
|
mat outmat[`k',3*`nbitems'+4] = W[1,7*`nbitems'+4] // beta
|
|
|
|
else if (`j'<`difitemsmax') {
|
|
|
|
mat outmat[`k',3*`nbitems'+5] = W[2,7*`nbitems'+4] // se beta
|
|
|
|
mat outmat[`k',3*`j'-2] = W[1,7*(`j'-1)+9] // items avant le premier dif
|
|
|
|
mat outmat[`k',3*`nbitems'+6] = `difitems1' // numéro item de dif
|
|
|
|
mat outmat[`k',3*`j'-1] = W[1,7*(`j'-1)+11] // items avant le premier dif
|
|
|
|
restore
|
|
|
|
mat outmat[`k',3*`j'] = W[1,7*(`j'-1)+13] // items avant le premier dif
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
else if (`j'==`difitemsmax') {
|
|
|
|
putexcel set "`path_res'/out/8`scen'_`Nn'.xls", sheet("outmat") replace
|
|
|
|
mat outmat[`k',3*`j'-2] = W[1,7*(`j'-1)+10] // items avant le premier dif
|
|
|
|
putexcel A1=matrix(outmat), colnames
|
|
|
|
mat outmat[`k',3*`j'-1] = W[1,7*(`j'-1)+13] // items avant le premier dif
|
|
|
|
}
|
|
|
|
mat outmat[`k',3*`j'] = W[1,7*(`j'-1)+16] // items avant le premier dif
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
else {
|
|
|
|
|
|
|
|
mat outmat[`k',3*`j'-2] = W[1,7*(`j'-1)+12] // items avant le premier dif
|
|
|
|
|
|
|
|
mat outmat[`k',3*`j'-1] = W[1,7*(`j'-1)+14] // items avant le premier dif
|
|
|
|
*************************************************** Scenarios with DIF on 2 items
|
|
|
|
mat outmat[`k',3*`j'] = W[1,7*(`j'-1)+16] // items avant le premier dif
|
|
|
|
|
|
|
|
}
|
|
|
|
* Load pcm.ado
|
|
|
|
}
|
|
|
|
adopath+"/home/corentin/Documents/These/Recherche/Simulations/Modules/"
|
|
|
|
mat outmat[`k',3*`nbitems'+1] = W[1,7*(`difitemsmin'-1)+2] // coef de dif
|
|
|
|
|
|
|
|
mat outmat[`k',3*`nbitems'+2] = W[1,7*(`difitemsmin'-1)+5] // coef de dif
|
|
|
|
************************************************** Scenario 9: J = 4 items / M = 2 modalities / DIF size 0.3 x2
|
|
|
|
mat outmat[`k',3*`nbitems'+3] = W[1,7*(`difitemsmin'-1)+8] // coef de dif
|
|
|
|
local N = "50"
|
|
|
|
mat outmat[`k',3*`nbitems'+4] = W[1,7*(`difitemsmid'-1)+5] // coef de dif
|
|
|
|
foreach Nnn in `N' {
|
|
|
|
mat outmat[`k',3*`nbitems'+5] = W[1,7*(`difitemsmid'-1)+8] // coef de dif
|
|
|
|
local Nn = `Nnn'
|
|
|
|
mat outmat[`k',3*`nbitems'+6] = W[1,7*(`difitemsmid'-1)+11] // coef de dif
|
|
|
|
local path_data = "/home/corentin/Documents/These/Recherche/Simulations/Data/DIF/N`Nn'"
|
|
|
|
mat outmat[`k',3*`nbitems'+7] = W[1,7*(`difitemsmax'-1)+8] // coef de dif
|
|
|
|
local path_res = "/home/corentin/Documents/These/Recherche/Simulations/Analysis/DIF/N`Nn'"
|
|
|
|
mat outmat[`k',3*`nbitems'+8] = W[1,7*(`difitemsmax'-1)+11] // coef de dif
|
|
|
|
local scenarios = "A B C D E F G"
|
|
|
|
mat outmat[`k',3*`nbitems'+9] = W[1,7*(`difitemsmax'-1)+14] // coef de dif
|
|
|
|
foreach scen in `scenarios' {
|
|
|
|
mat outmat[`k',3*`nbitems'+10] = W[1,7*`nbitems'+10] // beta
|
|
|
|
clear
|
|
|
|
mat outmat[`k',3*`nbitems'+11] = W[2,7*`nbitems'+10] // se beta
|
|
|
|
import delim "`path_data'/scenario_9`scen'_`Nn'.csv", encoding(ISO-8859-2) case(preserve) clear
|
|
|
|
mat outmat[`k',3*`nbitems'+12] = `difitemsmin' // numéro item de dif
|
|
|
|
rename TT tt
|
|
|
|
mat outmat[`k',3*`nbitems'+13] = `difitemsmid' // numéro item de dif
|
|
|
|
|
|
|
|
mat outmat[`k',3*`nbitems'+14] = `difitemsmax' // numéro item de dif
|
|
|
|
* Matrice de taille 1000 * 4 items + 1 DIF + beta + std beta + 1 dif
|
|
|
|
|
|
|
|
local nbitems = 4
|
|
|
|
|
|
|
|
local nbdif = 2
|
|
|
|
|
|
|
|
local taillemat = `nbitems'+`nbdif'+4
|
|
|
|
|
|
|
|
mat outmat = J(1000,`taillemat',.)
|
|
|
|
|
|
|
|
mat colnames outmat = "item1" "item2" "item3" "item4" "dif1" "dif2" "beta" "se_beta" "dif_item_1" "dif_item_2"
|
|
|
|
|
|
|
|
di "Scenario 9`scen' / N=`Nnn'"
|
|
|
|
|
|
|
|
forvalues k=1/1000 {
|
|
|
|
|
|
|
|
if (mod(`k',100)==0) {
|
|
|
|
|
|
|
|
di "`k'/1000"
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
preserve
|
|
|
|
|
|
|
|
qui keep if replication==`k'
|
|
|
|
|
|
|
|
local difitems1=dif1
|
|
|
|
|
|
|
|
local difitems2=dif2
|
|
|
|
|
|
|
|
if (`difitems1'<`difitems2') {
|
|
|
|
|
|
|
|
local difitemsmin `difitems1'
|
|
|
|
|
|
|
|
local difitemsmax `difitems2'
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
else {
|
|
|
|
|
|
|
|
local difitemsmin `difitems2'
|
|
|
|
|
|
|
|
local difitemsmax `difitems1'
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
local mod "gsem "
|
|
|
|
|
|
|
|
forvalues i=1/`nbitems' {
|
|
|
|
|
|
|
|
if (`i'==`difitemsmin' | `i'==`difitemsmax') {
|
|
|
|
|
|
|
|
local mod = "`mod'"+"(1.item`i'<-THETA@1 tt)"
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
else {
|
|
|
|
|
|
|
|
local mod = "`mod'"+"(1.item`i'<-THETA@1)"
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
local mod = "`mod'" + "(THETA<-tt), mlogit tol(0.01) iterate(500) latent(THETA) nocapslatent"
|
|
|
|
|
|
|
|
qui `mod'
|
|
|
|
|
|
|
|
mat V=r(table)
|
|
|
|
|
|
|
|
mat W=V[1..2,1...]
|
|
|
|
|
|
|
|
forvalues j=1/`nbitems' {
|
|
|
|
|
|
|
|
if (`j'<`difitemsmin') {
|
|
|
|
|
|
|
|
mat outmat[`k',`j'] = W[1,3*`j'] // items avant le premier dif
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
else if (`j'<`difitemsmax') {
|
|
|
|
|
|
|
|
mat outmat[`k',`j'] = W[1,1+3*`j'] // items après le premier dif
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
else {
|
|
|
|
|
|
|
|
mat outmat[`k',`j'] = W[1,2+3*`j'] // items après le deuxieme dif
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
mat outmat[`k',`nbitems'+1] = W[1,3*`difitemsmin'-1] // coef de dif
|
|
|
|
|
|
|
|
mat outmat[`k',`nbitems'+2] = W[1,3*`difitemsmax'] // coef de dif
|
|
|
|
|
|
|
|
mat outmat[`k',`nbitems'+3] = W[1,3*`nbitems'+3] // beta
|
|
|
|
|
|
|
|
mat outmat[`k',`nbitems'+4] = W[2,3*`nbitems'+3] // se beta
|
|
|
|
|
|
|
|
mat outmat[`k',`nbitems'+5] = `difitemsmin' // numéro item de dif
|
|
|
|
|
|
|
|
mat outmat[`k',`nbitems'+6] = `difitemsmax' // numéro item de dif
|
|
|
|
restore
|
|
|
|
restore
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
putexcel set "`path_res'/out/9`scen'_`Nn'.xls", sheet("outmat") replace
|
|
|
|
|
|
|
|
putexcel A1=matrix(outmat), colnames
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
************************************************** Scenario 10: J = 4 items / M = 4 modalities / DIF size 0.3x2
|
|
|
|
|
|
|
|
local N = "50"
|
|
|
|
|
|
|
|
foreach Nnn in `N' {
|
|
|
|
|
|
|
|
local Nn = `Nnn'
|
|
|
|
|
|
|
|
local path_data = "/home/corentin/Documents/These/Recherche/Simulations/Data/DIF/N`Nn'"
|
|
|
|
|
|
|
|
local path_res = "/home/corentin/Documents/These/Recherche/Simulations/Analysis/DIF/N`Nn'"
|
|
|
|
|
|
|
|
local scenarios = "A B C D E F G"
|
|
|
|
|
|
|
|
foreach scen in `scenarios' {
|
|
|
|
|
|
|
|
clear
|
|
|
|
|
|
|
|
import delim "`path_data'/scenario_10`scen'_`Nn'.csv", encoding(ISO-8859-2) case(preserve) clear
|
|
|
|
|
|
|
|
rename TT tt
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
* Matrice de taille 1000 * 4 items + 1 DIF + beta + std beta + 1 dif
|
|
|
|
|
|
|
|
local nbitems = 4
|
|
|
|
|
|
|
|
local nbdif = 2
|
|
|
|
|
|
|
|
local taillemat = 3*`nbitems'+`nbdif'+6+2
|
|
|
|
|
|
|
|
mat outmat = J(1000,`taillemat',.)
|
|
|
|
|
|
|
|
mat colnames outmat = "item1_1" "item1_2" "item1_3" "item2_1" "item2_2" "item2_3" "item3_1" "item3_2" "item3_3" "item4_1" "item4_2" "item4_3" "dif1_1" "dif1_2" "dif1_3" "dif2_1" "dif2_2" "dif2_3" "beta" "se_beta" "dif_item_1" "dif_item_2"
|
|
|
|
|
|
|
|
di "Scenario 10`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
|
|
|
|
|
|
|
|
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'
|
|
|
|
|
|
|
|
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) {
|
|
|
|
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qui recode item`j' (`checker3'=2)
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}
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}
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qui valuesof comz
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local val = r(values)
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local checker: word 1 of `val'
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* replications avec 3 mod
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if (`checker' == 1) {
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local difitems1=dif1
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local difitems2=dif2
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local difcheck = 0
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local difcheck2 = 0
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forvalues i=1/`nbitems' {
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qui sum item`i'
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local checker2 = r(max)
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if (`i'==`difitems1') {
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if (`checker2'==3) {
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local difcheck = 1
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local constrnt = "constraint 1 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))"
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local constrnt3 = "constraint 3 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))"
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}
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else {
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local constrnt = "constraint 1 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))"
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}
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}
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if (`i'==`difitems2') {
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if (`checker2'==3) {
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local difcheck2=1
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local constrnt2 = "constraint 2 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))"
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local constrnt4 = "constraint 4 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))"
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}
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else {
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local constrnt2 = "constraint 2 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))"
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}
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}
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}
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local mod "gsem "
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forvalues i=1/`nbitems' {
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qui sum item`i'
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local checker2 = r(max)
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if (`i'==`difitems1'| `i'==`difitems2') {
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if (`checker2'==3) {
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local mod = "`mod'"+"(1.item`i'<-THETA@1 tt)(2.item`i'<-THETA@2 tt)(3.item`i'<-THETA@3 tt)"
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}
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else {
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local mod = "`mod'"+"(1.item`i'<-THETA@1 tt)(2.item`i'<-THETA@2 tt)"
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}
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}
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else {
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if (`checker2'==3) {
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local mod = "`mod'"+"(1.item`i'<-THETA@1)(2.item`i'<-THETA@2)(3.item`i'<-THETA@3)"
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}
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else {
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local mod = "`mod'"+"(1.item`i'<-THETA@1)(2.item`i'<-THETA@2)"
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}
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}
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}
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if (`difcheck'==1) {
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if (`difcheck2'==1) {
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local mod = "`mod'" + "(THETA<-tt), mlogit tol(0.01) iterate(500) latent(THETA) nocapslatent constraint(1 2 3 4)"
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}
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else {
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local mod = "`mod'" + "(THETA<-tt), mlogit tol(0.01) iterate(500) latent(THETA) nocapslatent constraint(1 2 3)"
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}
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}
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else {
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if (`difcheck2'==1) {
|
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|
|
local mod = "`mod'" + "(THETA<-tt), mlogit tol(0.01) iterate(500) latent(THETA) nocapslatent constraint(1 2 4)"
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}
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else {
|
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|
local mod = "`mod'" + "(THETA<-tt), mlogit tol(0.01) iterate(500) latent(THETA) nocapslatent constraint(1 2)"
|
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}
|
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}
|
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qui `constrnt'
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qui `constrnt2'
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if (`difcheck'==1) {
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|
qui `constrnt3'
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}
|
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|
if (`difcheck2'==1) {
|
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|
|
qui `constrnt4'
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|
}
|
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|
|
qui `mod'
|
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|
|
mat V=r(table)
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|
|
mat W=V[1..2,1...]
|
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|
|
forvalues j=1/`nbitems' {
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|
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|
|
mat outmat[`k',3*`j'-2] = W[1,colnumb(W,"1.item`j':_cons")] // items avant le premier dif
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|
|
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|
|
mat outmat[`k',3*`j'-1] = W[1,colnumb(W,"2.item`j':_cons")] // items avant le premier dif
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|
|
mat outmat[`k',3*`j'] = W[1,colnumb(W,"3.item`j':_cons")] // items avant le premier dif
|
|
|
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|
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|
|
}
|
|
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|
mat outmat[`k',3*`nbitems'+1] = W[1,colnumb(W,"1.item`difitems1':tt")] // coef de dif
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|
mat outmat[`k',3*`nbitems'+2] = W[1,colnumb(W,"2.item`difitems1':tt")] // coef de dif
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|
mat outmat[`k',3*`nbitems'+3] = W[1,colnumb(W,"3.item`difitems1':tt")] // coef de dif
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|
mat outmat[`k',3*`nbitems'+4] = W[1,colnumb(W,"1.item`difitems2':tt")] // coef de dif
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|
|
mat outmat[`k',3*`nbitems'+5] = W[1,colnumb(W,"2.item`difitems2':tt")] // coef de dif
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|
|
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|
|
mat outmat[`k',3*`nbitems'+6] = W[1,colnumb(W,"3.item`difitems2':tt")] // coef de dif
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|
|
mat outmat[`k',3*`nbitems'+7] = W[1,colnumb(W,"THETA:tt")] // beta
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|
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|
|
mat outmat[`k',3*`nbitems'+8] = W[2,colnumb(W,"THETA:tt")] // se beta
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|
|
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|
|
mat outmat[`k',3*`nbitems'+9] = `difitems1' // numéro item de dif
|
|
|
|
|
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|
|
mat outmat[`k',3*`nbitems'+10] = `difitems2' // numéro item de dif
|
|
|
|
|
|
|
|
restore
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
* replications sans problèmes
|
|
|
|
|
|
|
|
else {
|
|
|
|
|
|
|
|
local difitems1=dif1
|
|
|
|
|
|
|
|
local difitems2=dif2
|
|
|
|
|
|
|
|
forvalues i=1/`nbitems' {
|
|
|
|
|
|
|
|
if (`i'==`difitems1') {
|
|
|
|
|
|
|
|
local constrnt = "constraint 1 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))"
|
|
|
|
|
|
|
|
local constrnt2 = "constraint 2 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))"
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
if (`i'==`difitems2') {
|
|
|
|
|
|
|
|
local constrnt3 = "constraint 3 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))"
|
|
|
|
|
|
|
|
local constrnt4 = "constraint 4 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))"
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
local mod "gsem "
|
|
|
|
|
|
|
|
forvalues i=1/`nbitems' {
|
|
|
|
|
|
|
|
if (`i'==`difitems1' | `i'==`difitems2') {
|
|
|
|
|
|
|
|
local mod = "`mod'"+"(1.item`i'<-THETA@1 tt)(2.item`i'<-THETA@2 tt)(3.item`i'<-THETA@3 tt)"
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
else {
|
|
|
|
|
|
|
|
local mod = "`mod'"+"(1.item`i'<-THETA@1)(2.item`i'<-THETA@2)(3.item`i'<-THETA@3)"
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
local mod = "`mod'" + "(THETA<-tt), mlogit tol(0.01) iterate(500) latent(THETA) nocapslatent constraint(1 2 3 4)"
|
|
|
|
|
|
|
|
qui `constrnt'
|
|
|
|
|
|
|
|
qui `constrnt2'
|
|
|
|
|
|
|
|
qui `constrnt3'
|
|
|
|
|
|
|
|
qui `constrnt4'
|
|
|
|
|
|
|
|
qui `mod'
|
|
|
|
|
|
|
|
mat V=r(table)
|
|
|
|
|
|
|
|
mat W=V[1..2,1...]
|
|
|
|
|
|
|
|
forvalues j=1/`nbitems' {
|
|
|
|
|
|
|
|
mat outmat[`k',3*`j'-2] = W[1,colnumb(W,"1.item`j':_cons")] // items avant le premier dif
|
|
|
|
|
|
|
|
mat outmat[`k',3*`j'-1] = W[1,colnumb(W,"2.item`j':_cons")] // items avant le premier dif
|
|
|
|
|
|
|
|
mat outmat[`k',3*`j'] = W[1,colnumb(W,"3.item`j':_cons")] // items avant le premier dif
|
|
|
|
|
|
|
|
}
|
|
|
|
|
|
|
|
mat outmat[`k',3*`nbitems'+1] = W[1,colnumb(W,"1.item`difitems1':tt")] // coef de dif
|
|
|
|
|
|
|
|
mat outmat[`k',3*`nbitems'+2] = W[1,colnumb(W,"2.item`difitems1':tt")] // coef de dif
|
|
|
|
|
|
|
|
mat outmat[`k',3*`nbitems'+3] = W[1,colnumb(W,"3.item`difitems1':tt")] // coef de dif
|
|
|
|
|
|
|
|
mat outmat[`k',3*`nbitems'+4] = W[1,colnumb(W,"1.item`difitems2':tt")] // coef de dif
|
|
|
|
|
|
|
|
mat outmat[`k',3*`nbitems'+5] = W[1,colnumb(W,"2.item`difitems2':tt")] // coef de dif
|
|
|
|
|
|
|
|
mat outmat[`k',3*`nbitems'+6] = W[1,colnumb(W,"3.item`difitems2':tt")] // coef de dif
|
|
|
|
|
|
|
|
mat outmat[`k',3*`nbitems'+7] = W[1,colnumb(W,"THETA:tt")] // beta
|
|
|
|
|
|
|
|
mat outmat[`k',3*`nbitems'+8] = W[2,colnumb(W,"THETA:tt")] // se beta
|
|
|
|
|
|
|
|
mat outmat[`k',3*`nbitems'+9] = `difitems1' // numéro item de dif
|
|
|
|
|
|
|
|
mat outmat[`k',3*`nbitems'+10] = `difitems2' // numéro item de dif
|
|
|
|
|
|
|
|
restore
|
|
|
|
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
putexcel set "`path_res'/out/20`scen'_`Nn'.xls", sheet("outmat") replace
|
|
|
|
putexcel set "`path_res'/out/10`scen'_`Nn'.xls", sheet("outmat") replace
|
|
|
|
putexcel A1=matrix(outmat), colnames
|
|
|
|
putexcel A1=matrix(outmat), colnames
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
