Analyses article 2
Jerome Silva
12 avril, 2021
Donnees
On a à la base 84 T et 85 BL (on a enlevé les 22 intermédiaires), dont respectivement 45 T et 44 BL ont les résultats du multimorphe. On avait donc 89 personnes ayant répondu au MM.
73 ont répondu au MM et avaient moins de 4 valeurs manquantes sur les autres variables nécessaires pour les modèles. C’est à dire les variables composant le score abandon :
PBI_soin_Mere , PBI_soin_Pere , CTQ_EN , CTQ_PN
et les variables composant le score intrusion :
PBI_control Pere , PBI control mere , CTQ_EA , CTQ_SA , CTQ_PA
Les scores Abandon et Intrusion utilisés ici ne sont pas les simples sommes , mais bien les première dimensions des ACPs faites à partir des “paniers” de variables présentés ci dessus. LEs résultats de ces ACP sont dans l’autre document Rpub en ligne.
On enlève 1 individu qui a Dim.intrusion >6 (outlier)
CSP
on a importé les CSP données par Marion : 3 classes : 1(professions supérieures) , 2 (profession intermédiaires), 3 (retraité et chomage) On avait seulement 8 personnes dans la 3eme catégorie, on l’a regroupé avec la 2.
autres
CHOIX FINAL : Evt_TS dans la Dim.intrusion
ACPs de créations des scores Abandon/Intrusion
Abandon puis Intrusion :
Correlations linéaires
| variable 1 | variable 2 | coeff de correlation | p-value | N |
|---|---|---|---|---|
| MM_Delai | Dim.Abandon | 0.14 | 0.2545 | 70 |
| MM_Delai | Dim.Intrusion | 0.21 | 0.0779 | 70 |
| MM_Succes | Dim.Abandon | -0.028 | 0.8201 | 70 |
| MM_Succes | Dim.Intrusion | -0.42 | 0.0003 | 70 |
| variable 1 | variable 2 | coeff de correlation | p-value | N |
|---|---|---|---|---|
| MM_Delai | Dim.Abandon | -0.27 | 0.1722 | 27 |
| MM_Delai | Dim.Intrusion | 0.22 | 0.2780 | 26 |
| MM_Succes | Dim.Abandon | -0.0038 | 0.9849 | 27 |
| MM_Succes | Dim.Intrusion | -0.69 | 0.0001 | 26 |
| variable 1 | variable 2 | coeff de correlation | p-value | N |
|---|---|---|---|---|
| MM_Delai | Dim.Abandon | 0.31 | 0.0402 | 43 |
| MM_Delai | Dim.Intrusion | 0.055 | 0.7236 | 44 |
| MM_Succes | Dim.Abandon | 0.085 | 0.5859 | 43 |
| MM_Succes | Dim.Intrusion | -0.023 | 0.8822 | 44 |
T-tests (différences de moyennes) BL / T
Abandon
mean in group Borderline mean in group Témoin
1.1186382 -0.6951321 [1] 2.783299e-06Intrusion
mean in group Borderline mean in group Témoin
0.6264483 -0.5454693 [1] 2.220939e-05MM_Succes
mean in group Borderline mean in group Témoin
0.8333333 0.8396465 [1] 0.7493116MM_Delai
mean in group Borderline mean in group Témoin
30.30798 28.36535 [1] 0.1617117MM et abandon/intrusion
Modeles Taux de Succès
Modèle du % de Succès au MM :
Call:
lm(formula = MM_Succes ~ Dim.Intrusion + Dim.Abandon + borderline,
data = DBsi)
Residuals:
Min 1Q Median 3Q Max
-0.193779 -0.055788 0.003587 0.064960 0.127261
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 0.830368 0.012441 66.742 < 2e-16 ***
Dim.Intrusion -0.027740 0.006690 -4.146 9.99e-05 ***
Dim.Abandon 0.011203 0.007577 1.479 0.144
borderline 0.004381 0.023214 0.189 0.851
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Residual standard error: 0.07311 on 65 degrees of freedom
(20 observations deleted due to missingness)
Multiple R-squared: 0.2179, Adjusted R-squared: 0.1818
F-statistic: 6.035 on 3 and 65 DF, p-value: 0.001086Avec interaction de l’effet borderline :
Call:
lm(formula = MM_Succes ~ Dim.Intrusion * borderline + Dim.Abandon *
borderline, data = DBsi)
Residuals:
Min 1Q Median 3Q Max
-0.189196 -0.055560 0.009025 0.045129 0.129036
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 0.840372 0.012817 65.569 <2e-16 ***
Dim.Intrusion -0.008192 0.012817 -0.639 0.5250
borderline 0.017872 0.023030 0.776 0.4406
Dim.Abandon 0.010109 0.012645 0.799 0.4270
Dim.Intrusion:borderline -0.031344 0.015050 -2.083 0.0413 *
borderline:Dim.Abandon -0.010259 0.016111 -0.637 0.5266
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Residual standard error: 0.07039 on 63 degrees of freedom
(20 observations deleted due to missingness)
Multiple R-squared: 0.2973, Adjusted R-squared: 0.2416
F-statistic: 5.332 on 5 and 63 DF, p-value: 0.0003786Avec effets quadratiques (polynomes othogonaux) :
Call:
lm(formula = MM_Succes ~ poly(Dim.Intrusion, 2) * borderline +
poly(Dim.Abandon, 2) * borderline, data = DBsi[which(!is.na(DBsi$Dim.Abandon) &
!is.na(DBsi$Dim.Intrusion)), ])
Residuals:
Min 1Q Median 3Q Max
-0.17672 -0.05093 0.01144 0.05477 0.13084
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 0.83847 0.01393 60.186 <2e-16 ***
poly(Dim.Intrusion, 2)1 0.15434 0.34670 0.445 0.6578
poly(Dim.Intrusion, 2)2 0.24609 0.32943 0.747 0.4580
borderline 0.03161 0.03285 0.962 0.3400
poly(Dim.Abandon, 2)1 -0.03174 0.23996 -0.132 0.8952
poly(Dim.Abandon, 2)2 -0.15933 0.18026 -0.884 0.3803
poly(Dim.Intrusion, 2)1:borderline -0.66063 0.37402 -1.766 0.0825 .
poly(Dim.Intrusion, 2)2:borderline -0.23894 0.35137 -0.680 0.4992
borderline:poly(Dim.Abandon, 2)1 -0.07728 0.31869 -0.243 0.8092
borderline:poly(Dim.Abandon, 2)2 0.26175 0.24126 1.085 0.2824
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Residual standard error: 0.0719 on 59 degrees of freedom
Multiple R-squared: 0.3135, Adjusted R-squared: 0.2088
F-statistic: 2.994 on 9 and 59 DF, p-value: 0.005261Modeles Délai de Succès
Modèle du % de Succès au MM :
Call:
lm(formula = MM_Delai ~ Dim.Intrusion + Dim.Abandon + borderline,
data = DBsi)
Residuals:
Min 1Q Median 3Q Max
-10.3937 -3.3274 -0.6404 3.7091 11.2549
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 28.7887 0.9033 31.869 <2e-16 ***
Dim.Intrusion 0.5380 0.4858 1.108 0.272
Dim.Abandon 0.0104 0.5502 0.019 0.985
borderline 1.2422 1.6855 0.737 0.464
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Residual standard error: 5.309 on 65 degrees of freedom
(20 observations deleted due to missingness)
Multiple R-squared: 0.05481, Adjusted R-squared: 0.01119
F-statistic: 1.256 on 3 and 65 DF, p-value: 0.2967Avec interaction de l’effet borderline :
Call:
lm(formula = MM_Delai ~ Dim.Intrusion * borderline + Dim.Abandon *
borderline, data = DBsi)
Residuals:
Min 1Q Median 3Q Max
-11.3448 -3.1891 -0.3996 3.7504 10.4735
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 29.3541 0.9265 31.683 < 2e-16 ***
Dim.Intrusion -1.0448 0.9265 -1.128 0.26373
borderline 1.7646 1.6648 1.060 0.29323
Dim.Abandon 2.0777 0.9141 2.273 0.02646 *
Dim.Intrusion:borderline 1.7508 1.0879 1.609 0.11256
borderline:Dim.Abandon -3.1867 1.1647 -2.736 0.00807 **
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Residual standard error: 5.089 on 63 degrees of freedom
(20 observations deleted due to missingness)
Multiple R-squared: 0.1582, Adjusted R-squared: 0.09142
F-statistic: 2.368 on 5 and 63 DF, p-value: 0.04936Avec effets quadratiques (polynomes othogonaux) :
Call:
lm(formula = MM_Delai ~ poly(Dim.Intrusion, 2) * borderline +
poly(Dim.Abandon, 2) * borderline, data = DBsi[which(!is.na(DBsi$Dim.Abandon) &
!is.na(DBsi$Dim.Intrusion)), ])
Residuals:
Min 1Q Median 3Q Max
-11.4511 -2.9548 0.0452 2.7153 11.7389
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 28.84484 0.96332 29.943 <2e-16 ***
poly(Dim.Intrusion, 2)1 -49.52101 23.97340 -2.066 0.0433 *
poly(Dim.Intrusion, 2)2 -43.30813 22.77922 -1.901 0.0622 .
borderline 4.76629 2.27168 2.098 0.0402 *
poly(Dim.Abandon, 2)1 25.48662 16.59240 1.536 0.1299
poly(Dim.Abandon, 2)2 -0.02894 12.46447 -0.002 0.9982
poly(Dim.Intrusion, 2)1:borderline 55.72210 25.86255 2.155 0.0353 *
poly(Dim.Intrusion, 2)2:borderline 48.47675 24.29663 1.995 0.0506 .
borderline:poly(Dim.Abandon, 2)1 -57.78853 22.03635 -2.622 0.0111 *
borderline:poly(Dim.Abandon, 2)2 18.14130 16.68254 1.087 0.2813
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Residual standard error: 4.972 on 59 degrees of freedom
Multiple R-squared: 0.2476, Adjusted R-squared: 0.1328
F-statistic: 2.157 on 9 and 59 DF, p-value: 0.03833Pour infos : avec Age/Sex/CSP
Ne change pas les résultats
Modeles Taux de Succès
Modèle du % de Succès au MM :
Call:
lm(formula = MM_Succes ~ age + sexe + CSP_bin2 + Dim.Intrusion +
Dim.Abandon + borderline, data = DBsi)
Residuals:
Min 1Q Median 3Q Max
-0.15341 -0.05390 0.01181 0.05257 0.10688
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 0.440442 0.128853 3.418 0.00114 **
age 0.021864 0.008267 2.645 0.01042 *
sexe 0.049164 0.025028 1.964 0.05412 .
CSP_bin2 0.012184 0.020322 0.600 0.55105
Dim.Intrusion -0.027301 0.006226 -4.385 4.75e-05 ***
Dim.Abandon 0.012898 0.007033 1.834 0.07161 .
borderline -0.022180 0.022674 -0.978 0.33188
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Residual standard error: 0.06725 on 60 degrees of freedom
(22 observations deleted due to missingness)
Multiple R-squared: 0.3883, Adjusted R-squared: 0.3272
F-statistic: 6.349 on 6 and 60 DF, p-value: 3.261e-05Avec interaction de l’effet borderline :
Call:
lm(formula = MM_Succes ~ age + sexe + CSP_bin2 + Dim.Intrusion *
borderline + Dim.Abandon * borderline, data = DBsi)
Residuals:
Min 1Q Median 3Q Max
-0.122878 -0.042461 0.004129 0.053541 0.116145
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 0.468566 0.120378 3.892 0.000259 ***
age 0.020152 0.007720 2.610 0.011489 *
sexe 0.066129 0.023926 2.764 0.007642 **
CSP_bin2 0.007400 0.019018 0.389 0.698619
Dim.Intrusion -0.007235 0.011694 -0.619 0.538538
borderline -0.009731 0.021474 -0.453 0.652119
Dim.Abandon 0.015593 0.011508 1.355 0.180681
Dim.Intrusion:borderline -0.032523 0.013630 -2.386 0.020309 *
borderline:Dim.Abandon -0.016908 0.014594 -1.159 0.251388
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Residual standard error: 0.06263 on 58 degrees of freedom
(22 observations deleted due to missingness)
Multiple R-squared: 0.4871, Adjusted R-squared: 0.4164
F-statistic: 6.885 on 8 and 58 DF, p-value: 2.487e-06Avec effets quadratiques (polynomes othogonaux) :
Call:
lm(formula = MM_Succes ~ age + sexe + CSP_bin2 + poly(Dim.Intrusion,
2) * borderline + poly(Dim.Abandon, 2) * borderline, data = DBsi[which(!is.na(DBsi$Dim.Abandon) &
!is.na(DBsi$Dim.Intrusion)), ])
Residuals:
Min 1Q Median 3Q Max
-0.127233 -0.038965 0.001864 0.050848 0.116081
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 0.459735 0.129955 3.538 0.000838 ***
age 0.020607 0.008297 2.484 0.016143 *
sexe 0.065940 0.025431 2.593 0.012221 *
CSP_bin2 0.004134 0.021025 0.197 0.844877
poly(Dim.Intrusion, 2)1 -0.126327 0.320107 -0.395 0.694663
poly(Dim.Intrusion, 2)2 -0.067786 0.307890 -0.220 0.826574
borderline -0.006151 0.031208 -0.197 0.844496
poly(Dim.Abandon, 2)1 0.133211 0.228736 0.582 0.562735
poly(Dim.Abandon, 2)2 -0.058790 0.171976 -0.342 0.733792
poly(Dim.Intrusion, 2)1:borderline -0.363580 0.343668 -1.058 0.294793
poly(Dim.Intrusion, 2)2:borderline 0.045266 0.326387 0.139 0.890211
borderline:poly(Dim.Abandon, 2)1 -0.186034 0.301465 -0.617 0.539761
borderline:poly(Dim.Abandon, 2)2 0.090985 0.223995 0.406 0.686207
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Residual standard error: 0.06469 on 54 degrees of freedom
(2 observations deleted due to missingness)
Multiple R-squared: 0.4905, Adjusted R-squared: 0.3773
F-statistic: 4.332 on 12 and 54 DF, p-value: 8.601e-05Modeles Délai de Succès
Modèle du % de Succès au MM :
Call:
lm(formula = MM_Delai ~ age + sexe + CSP_bin2 + Dim.Intrusion +
Dim.Abandon + borderline, data = DBsi)
Residuals:
Min 1Q Median 3Q Max
-12.2813 -2.6930 -0.0578 2.8065 11.9170
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 36.40877 9.61552 3.786 0.000356 ***
age -0.42151 0.61689 -0.683 0.497056
sexe -2.64927 1.86768 -1.418 0.161224
CSP_bin2 4.55381 1.51650 3.003 0.003896 **
Dim.Intrusion 0.30446 0.46460 0.655 0.514765
Dim.Abandon -0.02456 0.52483 -0.047 0.962838
borderline 2.39283 1.69199 1.414 0.162469
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Residual standard error: 5.018 on 60 degrees of freedom
(22 observations deleted due to missingness)
Multiple R-squared: 0.2075, Adjusted R-squared: 0.1283
F-statistic: 2.619 on 6 and 60 DF, p-value: 0.02541Avec interaction de l’effet borderline :
Call:
lm(formula = MM_Delai ~ age + sexe + CSP_bin2 + Dim.Intrusion *
borderline + Dim.Abandon * borderline, data = DBsi)
Residuals:
Min 1Q Median 3Q Max
-10.9738 -2.6994 -0.2573 2.4100 11.3481
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 37.3667 9.0334 4.136 0.000115 ***
age -0.4744 0.5793 -0.819 0.416244
sexe -2.2446 1.7955 -1.250 0.216273
CSP_bin2 4.8481 1.4271 3.397 0.001236 **
Dim.Intrusion -1.7182 0.8775 -1.958 0.055044 .
borderline 2.6433 1.6115 1.640 0.106351
Dim.Abandon 2.2504 0.8636 2.606 0.011629 *
Dim.Intrusion:borderline 2.3760 1.0228 2.323 0.023708 *
borderline:Dim.Abandon -3.2762 1.0952 -2.991 0.004072 **
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Residual standard error: 4.7 on 58 degrees of freedom
(22 observations deleted due to missingness)
Multiple R-squared: 0.328, Adjusted R-squared: 0.2353
F-statistic: 3.539 on 8 and 58 DF, p-value: 0.002128Avec effets quadratiques (polynomes othogonaux) :
Call:
lm(formula = MM_Delai ~ age + sexe + CSP_bin2 + CSP_bin2 + poly(Dim.Intrusion,
2) * borderline + poly(Dim.Abandon, 2) * borderline, data = DBsi[which(!is.na(DBsi$Dim.Abandon) &
!is.na(DBsi$Dim.Intrusion)), ])
Residuals:
Min 1Q Median 3Q Max
-9.8853 -2.7825 -0.1436 2.4266 11.1162
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 40.3853 9.0891 4.443 4.44e-05 ***
age -0.7156 0.5803 -1.233 0.222859
sexe -1.4869 1.7787 -0.836 0.406850
CSP_bin2 5.4886 1.4705 3.733 0.000457 ***
poly(Dim.Intrusion, 2)1 -52.3065 22.3885 -2.336 0.023216 *
poly(Dim.Intrusion, 2)2 -32.9893 21.5340 -1.532 0.131370
borderline 6.4017 2.1827 2.933 0.004919 **
poly(Dim.Abandon, 2)1 36.5236 15.9980 2.283 0.026391 *
poly(Dim.Abandon, 2)2 8.1343 12.0281 0.676 0.501757
poly(Dim.Intrusion, 2)1:borderline 52.0757 24.0364 2.167 0.034702 *
poly(Dim.Intrusion, 2)2:borderline 45.6602 22.8277 2.000 0.050517 .
borderline:poly(Dim.Abandon, 2)1 -71.4246 21.0847 -3.388 0.001323 **
borderline:poly(Dim.Abandon, 2)2 14.0350 15.6664 0.896 0.374301
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Residual standard error: 4.525 on 54 degrees of freedom
(2 observations deleted due to missingness)
Multiple R-squared: 0.4201, Adjusted R-squared: 0.2913
F-statistic: 3.261 on 12 and 54 DF, p-value: 0.001395