GOSE

Descriptive tables

Table 1a. GOSE by TIMEPOINT.

Timepoint variable n min max median q1 q3 iqr mad mean sd se ci
Days 7 to 10 GOSE 237 1 8 5 3 6 3 1.483 4.620 2.131 0.138 0.273
Month 3 GOSE 322 1 8 5 2 7 5 2.965 4.516 2.546 0.142 0.279
Month 6 GOSE 338 1 8 5 2 7 5 3.706 4.530 2.649 0.144 0.283
Month 12 GOSE 353 1 8 5 2 7 5 4.448 4.493 2.734 0.145 0.286

Table 1b. GOSE by TIMEPOINT and AGE GROUP.

Version Timepoint variable n min max median q1 q3 iqr mad mean sd se ci
Adult Days 7 to 10 GOSE 146 1 8 5.5 4 7.00 3.00 2.224 5.438 1.827 0.151 0.299
Pediatric Days 7 to 10 GOSE 85 1 7 3.0 2 5.00 3.00 2.965 3.447 1.912 0.207 0.412
pwee Days 7 to 10 GOSE 6 1 2 1.0 1 1.75 0.75 0.000 1.333 0.516 0.211 0.542
Adult Month 3 GOSE 196 1 8 6.0 4 8.00 4.00 2.965 5.597 2.248 0.161 0.317
Pediatric Month 3 GOSE 121 1 8 2.0 1 4.00 3.00 1.483 2.909 2.025 0.184 0.364
pwee Month 3 GOSE 5 1 1 1.0 1 1.00 0.00 0.000 1.000 0.000 0.000 0.000
Adult Month 6 GOSE 209 1 8 6.0 5 8.00 3.00 2.965 5.727 2.301 0.159 0.314
Pediatric Month 6 GOSE 124 1 8 2.0 1 4.00 3.00 1.483 2.653 1.942 0.174 0.345
pwee Month 6 GOSE 5 1 1 1.0 1 1.00 0.00 0.000 1.000 0.000 0.000 0.000
Adult Month 12 GOSE 221 1 8 7.0 5 8.00 3.00 1.483 5.824 2.332 0.157 0.309
Pediatric Month 12 GOSE 132 1 8 2.0 1 3.00 2.00 1.483 2.265 1.720 0.150 0.296

Table 1c. GOSE by TIMEPOINT and SEVERITY.

Timepoint Severity variable n min max median q1 q3 iqr mad mean sd se ci
Days 7 to 10 Mild GOSE 229 1 8 5.0 3.00 6.00 3.00 1.483 4.729 2.081 0.138 0.271
Days 7 to 10 Moderate GOSE 2 2 3 2.5 2.25 2.75 0.50 0.741 2.500 0.707 0.500 6.353
Days 7 to 10 Severe GOSE 6 1 2 1.0 1.00 1.00 0.00 0.000 1.167 0.408 0.167 0.428
Month 3 Mild GOSE 229 1 8 5.0 2.00 7.00 5.00 4.448 4.799 2.653 0.175 0.345
Month 3 Moderate GOSE 31 1 8 4.0 3.00 5.00 2.00 1.483 4.097 1.680 0.302 0.616
Month 3 Severe GOSE 62 1 8 3.0 1.00 5.75 4.75 2.965 3.677 2.303 0.292 0.585
Month 6 Mild GOSE 236 1 8 6.0 2.00 7.00 5.00 2.965 4.847 2.729 0.178 0.350
Month 6 Moderate GOSE 34 1 8 4.0 3.00 6.00 3.00 2.224 4.235 2.175 0.373 0.759
Month 6 Severe GOSE 68 1 8 3.0 1.00 5.00 4.00 2.965 3.574 2.346 0.284 0.568
Month 12 Mild GOSE 248 1 8 6.0 2.00 8.00 6.00 2.965 4.839 2.815 0.179 0.352
Month 12 Moderate GOSE 31 1 8 4.0 3.00 7.00 4.00 2.965 4.387 2.376 0.427 0.872
Month 12 Severe GOSE 74 1 8 3.0 1.00 5.00 4.00 2.965 3.378 2.286 0.266 0.530

Boxplots

Figure 1a Box-and-whisker, density, and raincloud plot of GOSE (ADULT vs. PEDIATRIC)

Figure 1b Box-and-whisker, density, and raincloud plot of ADULT GOSE (by SEVERITY)

Figure 1c Box-and-whicker, density, and raincloud plot of PEDIATRIC GOSE (by SEVERITY)

Group and individual trajectories

Figure 2a Overall GOSE trajectory, all ADULTS.

## `geom_smooth()` using formula = 'y ~ x'

Figure 2b Individual GOSE trajectory, 10% random sample of ADULTS.

## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?

Figure 3a Overall GOSE trajectory, all PEDIATRIC cases.

## `geom_smooth()` using formula = 'y ~ x'

Figure 3b Individual GOSE trajectory, 10% random sample of PEDIATRIC cases.

## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?

Status

Table 2a. GOSE STATUS by TIMEPOINT in ADULT cases. UNFAVORABLE: GOSE 1-3; FAVORABLE: GOSE 4-8.

Timepoint n n Unfavorable % Unfavorable
Days 7 to 10 235 20 8.5
Month 3 285 37 13.0
Month 6 279 41 14.7
Month 12 265 45 17.0

Table 2b. GOSE STATUS by TIMEPOINT and SEVERITY in ADULT cases. UNFAVORABLE: GOSE 1-3; FAVORABLE: GOSE 4-8.

## `summarise()` has grouped output by 'Timepoint'. You can override using the
## `.groups` argument.
Timepoint Sev n n Unfavorable % Unfavorable
Days 7 to 10 Mild 199 15 7.5
Days 7 to 10 msTBI 36 5 13.9
Month 3 Mild 200 5 2.5
Month 3 msTBI 85 32 37.6
Month 6 Mild 195 6 3.1
Month 6 msTBI 84 35 41.7
Month 12 Mild 180 8 4.4
Month 12 msTBI 85 37 43.5

Figure 4 GOSE STATUS, across time in ADULT cases. UNFAVORABLE: GOSE 1-3; FAVORABLE: GOSE 4-8.

Table 3a GOSE STATUS by TIMEPOINT in PEDIATRIC cases. UNFAVORABLE: GOSE 6-8; FAVORABLE: GOSE 1-5.

Timepoint n n Unfavorable % Unfavorable
Days 7 to 10 93 19 20.4
Month 3 133 20 15.0
Month 6 138 16 11.6
Month 12 150 8 5.3

Table 3b. GOSE STATUS by TIMEPOINT and SEVERITY in PEDIATRIC cases. UNFAVORABLE: GOSE 6-8; FAVORABLE: GOSE 1-5.

## `summarise()` has grouped output by 'Timepoint'. You can override using the
## `.groups` argument.
Timepoint Sev n n Unfavorable % Unfavorable
Days 7 to 10 Mild 89 19 21.3
Days 7 to 10 msTBI 4 0 0.0
Month 3 Mild 97 5 5.2
Month 3 msTBI 36 15 41.7
Month 6 Mild 98 5 5.1
Month 6 msTBI 40 11 27.5
Month 12 Mild 111 1 0.9
Month 12 msTBI 39 7 17.9

Figure 5 GOSE STATUS, across time in PEDIATRIC cases. UNFAVORABLE: GOSE 6-8; FAVORABLE: GOSE 1-5.

Table 4a GOSE STATUS by TIMEPOINT in PEDIATRIC cases. UNFAVORABLE: GOSE 5-8; FAVORABLE: GOSE 1-4.

Timepoint n n Unfavorable % Unfavorable
Days 7 to 10 93 30 32.3
Month 3 133 25 18.8
Month 6 138 21 15.2
Month 12 150 9 6.0

Table 3b. GOSE STATUS by TIMEPOINT and SEVERITY in PEDIATRIC cases. UNFAVORABLE: GOSE 5-8; FAVORABLE: GOSE 1-4.

## `summarise()` has grouped output by 'Timepoint'. You can override using the
## `.groups` argument.
Timepoint Sev n n Unfavorable % Unfavorable
Days 7 to 10 Mild 89 30 33.7
Days 7 to 10 msTBI 4 0 0.0
Month 3 Mild 97 6 6.2
Month 3 msTBI 36 19 52.8
Month 6 Mild 98 6 6.1
Month 6 msTBI 40 15 37.5
Month 12 Mild 111 1 0.9
Month 12 msTBI 39 8 20.5

Figure 5 GOSE STATUS, across time in PEDIATRIC cases. UNFAVORABLE: GOSE 5-8; FAVORABLE: GOSE 1-4.

PEDSQOL

Tables

Table 4a. PEDSQOL by TIMEPOINT.

Timepoint variable n min max median q1 q3 iqr mad mean sd se ci
Days 7 to 10 PEDSQOL 134 17.50 100 73.595 55.368 89.208 33.840 25.056 71.734 20.952 1.810 3.580
Month 3 PEDSQOL 200 0.00 100 83.985 62.500 94.310 31.810 19.118 76.712 21.774 1.540 3.036
Month 6 PEDSQOL 17 55.16 100 82.500 72.810 91.670 18.860 14.366 81.043 13.862 3.362 7.127
Month 12 PEDSQOL 300 0.00 100 86.405 67.112 96.355 29.243 20.156 79.335 20.424 1.179 2.321

Table 4b PEDSQOL by TIMEPOINT and SEVERITY.

Timepoint Severity variable n min max median q1 q3 iqr mad mean sd se ci
Days 7 to 10 Mild PEDSQOL 132 17.50 100.00 72.505 55.155 89.182 34.028 25.323 71.479 20.997 1.828 3.615
Days 7 to 10 Moderate PEDSQOL 1 83.33 83.33 83.330 83.330 83.330 0.000 0.000 83.330 NA NA NaN
Days 7 to 10 Severe PEDSQOL 1 93.75 93.75 93.750 93.750 93.750 0.000 0.000 93.750 NA NA NaN
Month 3 Mild PEDSQOL 152 27.35 100.00 86.720 69.452 95.510 26.057 16.101 81.102 17.834 1.447 2.858
Month 3 Moderate PEDSQOL 23 0.00 98.33 72.920 53.195 88.125 34.930 26.568 68.771 25.427 5.302 10.995
Month 3 Severe PEDSQOL 25 0.00 100.00 54.650 43.100 77.350 34.250 33.092 57.328 27.633 5.527 11.406
Month 6 Mild PEDSQOL 10 67.19 100.00 88.335 80.745 95.512 14.767 11.468 87.466 10.828 3.424 7.746
Month 6 Moderate PEDSQOL 2 66.79 86.41 76.600 71.695 81.505 9.810 14.544 76.600 13.873 9.810 124.648
Month 6 Severe PEDSQOL 5 55.16 87.50 72.810 56.900 77.500 20.600 21.779 69.974 13.804 6.173 17.140
Month 12 Mild PEDSQOL 231 10.16 100.00 88.130 70.705 97.500 26.795 17.598 81.791 18.885 1.243 2.448
Month 12 Moderate PEDSQOL 25 41.10 100.00 86.250 65.940 92.190 26.250 20.386 77.665 18.550 3.710 7.657
Month 12 Severe PEDSQOL 44 0.00 100.00 71.145 54.492 86.795 32.303 24.441 67.386 24.916 3.756 7.575

Boxplots

Figure 6a Box-and-whisker, density, and raincloud plot of PEDSQOL.

Figure 6b Box-and-whisker, density, and raincloud plot of PEDSQOL by SEVERITY.

Group trajectories

Figure 7a Overall PEDSQOL trajectory. nb. the 6-month data were dropped owing to limited # of cases (n=17, across all severities)

## `geom_smooth()` using formula = 'y ~ x'

Figure 7b Individual PEDSQOL trajectory, 10% random sample. nb. the 6-month data were dropped owing to limited # of cases (n=17, across all severities)

## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?
## `geom_line()`: Each group consists of only one observation.
## ℹ Do you need to adjust the group aesthetic?

Correlations

Spearman - Adult (GOSExAGE)

Table 5a ADULT: GOSExAGE SPEARMAN at DAYS7to10

##       GOSE   Age
## GOSE  1.00 -0.18
## Age  -0.18  1.00
## 
## n= 146 
## 
## 
## P
##      GOSE   Age   
## GOSE        0.0316
## Age  0.0316

Table 5b ADULT: GOSExAGE SPEARMAN at 3 MONTHS

##       GOSE   Age
## GOSE  1.00 -0.16
## Age  -0.16  1.00
## 
## n= 196 
## 
## 
## P
##      GOSE   Age   
## GOSE        0.0248
## Age  0.0248

Table 5c ADULT: GOSExAGE SPEARMAN at 6 MONTHS

##       GOSE   Age
## GOSE  1.00 -0.06
## Age  -0.06  1.00
## 
## n= 209 
## 
## 
## P
##      GOSE   Age   
## GOSE        0.3841
## Age  0.3841

Table 5d ADULT: GOSExAGE SPEARMAN at 12 MONTHS

##       GOSE   Age
## GOSE  1.00 -0.16
## Age  -0.16  1.00
## 
## n= 221 
## 
## 
## P
##      GOSE  Age  
## GOSE       0.016
## Age  0.016

Spearman - Pediatric (GOSExAGE)

Table 6a PEDIATRIC: GOSExAGE SPEARMAN at DAYS7to10

##      GOSE  Age
## GOSE 1.00 0.12
## Age  0.12 1.00
## 
## n= 85 
## 
## 
## P
##      GOSE   Age   
## GOSE        0.2685
## Age  0.2685

Table 6b PEDIATRIC: GOSExAGE SPEARMAN at 3 MONTHS

##       GOSE   Age
## GOSE  1.00 -0.16
## Age  -0.16  1.00
## 
## n= 121 
## 
## 
## P
##      GOSE   Age   
## GOSE        0.0747
## Age  0.0747

Table 6c PEDIATRIC: GOSExAGE SPEARMAN at 6 MONTHS

##       GOSE   Age
## GOSE  1.00 -0.16
## Age  -0.16  1.00
## 
## n= 124 
## 
## 
## P
##      GOSE   Age   
## GOSE        0.0719
## Age  0.0719

Table 6d PEDIATRIC: GOSExAGE SPEARMAN at 12 MONTHS

##      GOSE  Age
## GOSE 1.00 0.07
## Age  0.07 1.00
## 
## n= 132 
## 
## 
## P
##      GOSE   Age   
## GOSE        0.4369
## Age  0.4369

Pearson - Adult (GOSExPEDSQOL)

Table 7a ADULT: GOSExPEDSQOL PEARSON at DAYS7to10

##         GOSE PEDSQOL
## GOSE    1.00    0.53
## PEDSQOL 0.53    1.00
## 
## n= 79 
## 
## 
## P
##         GOSE PEDSQOL
## GOSE          0     
## PEDSQOL  0

Table 7b ADULT: GOSExPEDSQOL PEARSON at 3 MONTHS

##         GOSE PEDSQOL
## GOSE    1.00    0.62
## PEDSQOL 0.62    1.00
## 
## n
##         GOSE PEDSQOL
## GOSE     196     108
## PEDSQOL  108     108
## 
## P
##         GOSE PEDSQOL
## GOSE          0     
## PEDSQOL  0

Table 7c ADULT: GOSExPEDSQOL PEARSON at 6 MONTHS

##         GOSE PEDSQOL
## GOSE    1.00    0.58
## PEDSQOL 0.58    1.00
## 
## n
##         GOSE PEDSQOL
## GOSE     209       3
## PEDSQOL    3       3
## 
## P
##         GOSE   PEDSQOL
## GOSE           0.6092 
## PEDSQOL 0.6092

Table 7d ADULT: GOSExPEDSQOL PEARSON at 12 MONTHS

##         GOSE PEDSQOL
## GOSE    1.00    0.65
## PEDSQOL 0.65    1.00
## 
## n
##         GOSE PEDSQOL
## GOSE     225     171
## PEDSQOL  171     171
## 
## P
##         GOSE PEDSQOL
## GOSE          0     
## PEDSQOL  0

Pearson - Pediatric (GOSExPEDSQOL)

Table 8a PEDIATRIC: GOSExPEDSQOL PEARSON at DAYS7to10

##          GOSE PEDSQOL
## GOSE     1.00   -0.56
## PEDSQOL -0.56    1.00
## 
## n= 53 
## 
## 
## P
##         GOSE PEDSQOL
## GOSE          0     
## PEDSQOL  0

Table 8b PEDIATRIC: GOSExPEDSQOL PEARSON at 3 MONTHS

##          GOSE PEDSQOL
## GOSE     1.00   -0.71
## PEDSQOL -0.71    1.00
## 
## n
##         GOSE PEDSQOL
## GOSE     141      91
## PEDSQOL   91      91
## 
## P
##         GOSE PEDSQOL
## GOSE          0     
## PEDSQOL  0

Table 8c PEDIATRIC: GOSExPEDSQOL PEARSON at 6 MONTHS

##          GOSE PEDSQOL
## GOSE     1.00   -0.75
## PEDSQOL -0.75    1.00
## 
## n
##         GOSE PEDSQOL
## GOSE     125      14
## PEDSQOL   14      14
## 
## P
##         GOSE   PEDSQOL
## GOSE           0.0018 
## PEDSQOL 0.0018

Table 8d PEDIATRIC: GOSExPEDSQOL PEARSON at 12 MONTHS

##          GOSE PEDSQOL
## GOSE     1.00   -0.58
## PEDSQOL -0.58    1.00
## 
## n
##         GOSE PEDSQOL
## GOSE     150     129
## PEDSQOL  129     129
## 
## P
##         GOSE PEDSQOL
## GOSE          0     
## PEDSQOL  0

Partial - Adult (GOSExPEDSQOL)

## Loading required package: MASS
## 
## Attaching package: 'MASS'
## The following object is masked from 'package:EnvStats':
## 
##     boxcox
## The following object is masked from 'package:dplyr':
## 
##     select
## The following object is masked from 'package:rstatix':
## 
##     select

Table 9a ADULT: GOSExPEDSQOL PARTIAL (AGE) at DAYS7to10

##    estimate      p.value statistic  n gp  Method
## 1 0.5407284 3.212006e-07  5.603872 79  1 pearson

Table 9b ADULT: GOSExPEDSQOL PARTIAL (AGE) at 3 MONTHS

##    estimate      p.value statistic   n gp  Method
## 1 0.6278758 4.546079e-13  8.266351 108  1 pearson

Table 9c ADULT: GOSExPEDSQOL PARTIAL (AGE) at 6 MONTHS

##    estimate p.value statistic n gp  Method
## 1 0.2680396     NaN         0 3  1 pearson

Table 9d ADULT: GOSExPEDSQOL PARTIAL (AGE) 12 MONTHS

##    estimate      p.value statistic   n gp  Method
## 1 0.6497485 9.193447e-22  11.07901 171  1 pearson

Partial - Pediatric (GOSExPEDSQOL)

Table 10a PEDIATRIC: GOSExPEDSQOL PARTIAL (AGE) at DAYS7to10

## Loading required package: MASS
## 
## Attaching package: 'MASS'
## The following object is masked from 'package:EnvStats':
## 
##     boxcox
## The following object is masked from 'package:dplyr':
## 
##     select
## The following object is masked from 'package:rstatix':
## 
##     select
##     estimate     p.value statistic  n gp  Method
## 1 -0.5438639 3.08543e-05 -4.582722 53  1 pearson

Table 10b PEDIATRIC: GOSExPEDSQOL PARTIAL (AGE) at 3 MONTHS

##     estimate      p.value statistic  n gp  Method
## 1 -0.7499019 1.816533e-17 -10.63368 91  1 pearson

Table 10c PEDIATRIC: GOSExPEDSQOL PARTIAL (AGE) at 6 MONTHS

##     estimate     p.value statistic  n gp  Method
## 1 -0.7891377 0.001340397 -4.261159 14  1 pearson

Table 10d PEDIATRIC: GOSExPEDSQOL PARTIAL (AGE) 12 MONTHS

##     estimate      p.value statistic   n gp  Method
## 1 -0.5758998 1.144913e-12 -7.907399 129  1 pearson

Growth curves

GOSE - Observed data

## This is lavaan 0.6-16
## lavaan is FREE software! Please report any bugs.

Figure 8 Group trajectories (observed data) for both ADULT and PEDIATRIC cases.

GOSE - Intercept model

Table 11a Linear model fitted to ADULT cases. The model does not allow the null hypothesis to be rejected.

“The null hypothesis in an SEM analysis is that the covariance matrix implied or reproduced by the specified model is statistically the same as the input covariance matrix [where covariances are set to 0]. Contrary to usual hypothesis testing, we hope to retain the null hypothesis that the two matrices are statistically the same.”

## lavaan 0.6.16 ended normally after 25 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of model parameters                         5
## 
##                                                   Used       Total
##   Number of observations                           154         294
## 
## Model Test User Model:
##                                               Standard      Scaled
##   Test Statistic                                21.248      36.459
##   Degrees of freedom                                 4           4
##   P-value (Chi-square)                           0.000       0.000
##   Scaling correction factor                                  0.583
##     Yuan-Bentler correction (Mplus variant)                       
## 
## Parameter Estimates:
## 
##   Standard errors                             Sandwich
##   Information bread                           Observed
##   Observed information based on                Hessian
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)
##   i =~                                                
##     T2                1.000                           
##     T3                1.000                           
##     T4                1.000                           
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)
##    .T2                0.000                           
##    .T3                0.000                           
##    .T4                0.000                           
##     i                 5.751    0.188   30.583    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)
##    .T2                0.637    0.140    4.540    0.000
##    .T3                0.354    0.097    3.644    0.000
##    .T4                0.354    0.095    3.718    0.000
##     i                 5.223    0.571    9.144    0.000

Table 11b Linear model fitted to PEDIATRIC cases. The model does not allow the null hypothesis to be rejected.

“The null hypothesis in an SEM analysis is that the covariance matrix implied or reproduced by the specified model is statistically the same as the input covariance matrix [where covariances are set to 0]. Contrary to usual hypothesis testing, we hope to retain the null hypothesis that the two matrices are statistically the same.”

## lavaan 0.6.16 ended normally after 24 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of model parameters                         5
## 
##                                                   Used       Total
##   Number of observations                            69         159
## 
## Model Test User Model:
##                                               Standard      Scaled
##   Test Statistic                                44.237      53.062
##   Degrees of freedom                                 4           4
##   P-value (Chi-square)                           0.000       0.000
##   Scaling correction factor                                  0.834
##     Yuan-Bentler correction (Mplus variant)                       
## 
## Parameter Estimates:
## 
##   Standard errors                             Sandwich
##   Information bread                           Observed
##   Observed information based on                Hessian
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)
##   i =~                                                
##     T1                1.000                           
##     T2                1.000                           
##     T4                1.000                           
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)
##    .T1                0.000                           
##    .T2                0.000                           
##    .T4                0.000                           
##     i                 2.025    0.134   15.092    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)
##    .T1                4.289    0.734    5.846    0.000
##    .T2                0.967    0.298    3.246    0.001
##    .T4                0.437    0.170    2.568    0.010
##     i                 0.693    0.174    3.987    0.000

GOSE - Linear model

Table 12a Linear model fitted to ADULT cases. The model DOES allow the null hypothesis to be rejected.

## lavaan 0.6.16 ended normally after 57 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of model parameters                         8
## 
##                                                   Used       Total
##   Number of observations                           154         294
## 
## Model Test User Model:
##                                               Standard      Scaled
##   Test Statistic                                 1.305       1.464
##   Degrees of freedom                                 1           1
##   P-value (Chi-square)                           0.253       0.226
##   Scaling correction factor                                  0.891
##     Yuan-Bentler correction (Mplus variant)                       
## 
## Parameter Estimates:
## 
##   Standard errors                             Sandwich
##   Information bread                           Observed
##   Observed information based on                Hessian
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)
##   i =~                                                
##     T2                1.000                           
##     T3                1.000                           
##     T4                1.000                           
##   s =~                                                
##     T2                3.000                           
##     T3                6.000                           
##     T4               12.000                           
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)
##   i ~~                                                
##     s                -0.009    0.027   -0.320    0.749
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)
##    .T2                0.000                           
##    .T3                0.000                           
##    .T4                0.000                           
##     i                 5.475    0.192   28.515    0.000
##     s                 0.034    0.008    4.374    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)
##    .T2                0.423    0.149    2.843    0.004
##    .T3                0.498    0.116    4.300    0.000
##    .T4               -0.053    0.258   -0.206    0.837
##     i                 5.028    0.578    8.701    0.000
##     s                 0.006    0.005    1.328    0.184

Table 12b Linear model fitted to PEDIATRIC cases. The model does not allow the null hypothesis to be rejected.

“The null hypothesis in an SEM analysis is that the covariance matrix implied or reproduced by the specified model is statistically the same as the input covariance matrix [where covariances are set to 0]. Contrary to usual hypothesis testing, we hope to retain the null hypothesis that the two matrices are statistically the same.”

## lavaan 0.6.16 ended normally after 54 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of model parameters                         8
## 
##                                                   Used       Total
##   Number of observations                            69         159
## 
## Model Test User Model:
##                                               Standard      Scaled
##   Test Statistic                                24.514      33.879
##   Degrees of freedom                                 1           1
##   P-value (Chi-square)                           0.000       0.000
##   Scaling correction factor                                  0.724
##     Yuan-Bentler correction (Mplus variant)                       
## 
## Parameter Estimates:
## 
##   Standard errors                             Sandwich
##   Information bread                           Observed
##   Observed information based on                Hessian
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)
##   i =~                                                
##     T1                1.000                           
##     T2                1.000                           
##     T4                1.000                           
##   s =~                                                
##     T1                0.000                           
##     T2                3.000                           
##     T4               12.000                           
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)
##   i ~~                                                
##     s                -0.018    0.031   -0.576    0.565
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)
##    .T1                0.000                           
##    .T2                0.000                           
##    .T4                0.000                           
##     i                 2.603    0.258   10.082    0.000
##     s                -0.065    0.020   -3.219    0.001
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)
##    .T1                2.913    0.715    4.073    0.000
##    .T2                1.002    0.345    2.908    0.004
##    .T4                0.604    0.959    0.630    0.529
##     i                 1.002    0.386    2.596    0.009
##     s                -0.001    0.009   -0.107    0.915

GOSE - Quadratic model

Table 13a Quadratic model fitted to ADULT cases. The model does not allow the null hypothesis to be rejected.

“The null hypothesis in an SEM analysis is that the covariance matrix implied or reproduced by the specified model is statistically the same as the input covariance matrix [where covariances are set to 0]. Contrary to usual hypothesis testing, we hope to retain the null hypothesis that the two matrices are statistically the same.”

## lavaan 0.6.16 ended normally after 64 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of model parameters                        12
## 
##                                                   Used       Total
##   Number of observations                           154         294
## 
## Model Test User Model:
##                                                       
##   Test statistic                                    NA
##   Degrees of freedom                                -3
##   P-value (Unknown)                                 NA
## 
## Parameter Estimates:
## 
##   Standard errors                             Sandwich
##   Information bread                           Observed
##   Observed information based on                Hessian
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)
##   i =~                                                
##     T2                1.000                           
##     T3                1.000                           
##     T4                1.000                           
##   s =~                                                
##     T2                3.000                           
##     T3                6.000                           
##     T4               12.000                           
##   q =~                                                
##     T2                0.000                           
##     T3                1.000                           
##     T4                4.000                           
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)
##   i ~~                                                
##     s                 0.359       NA                  
##     q                -0.704       NA                  
##   s ~~                                                
##     q                -0.368       NA                  
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)
##    .T2                0.000                           
##    .T3                0.000                           
##    .T4                0.000                           
##     i                 5.130       NA                  
##     s                 0.139       NA                  
##     q                -0.227       NA                  
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)
##    .T2                1.323       NA                  
##    .T3               -0.309       NA                  
##    .T4                3.063       NA                  
##     i                 0.313       NA                  
##     s                 0.185       NA                  
##     q                 0.500       NA

Table 13b Quadratic model fitted to PEDIATRIC cases. The model does not allow the null hypothesis to be rejected.

“The null hypothesis in an SEM analysis is that the covariance matrix implied or reproduced by the specified model is statistically the same as the input covariance matrix [where covariances are set to 0]. Contrary to usual hypothesis testing, we hope to retain the null hypothesis that the two matrices are statistically the same.”

## lavaan 0.6.16 ended normally after 50 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of model parameters                        12
## 
##                                                   Used       Total
##   Number of observations                            69         159
## 
## Model Test User Model:
##                                                       
##   Test statistic                                    NA
##   Degrees of freedom                                -3
##   P-value (Unknown)                                 NA
## 
## Parameter Estimates:
## 
##   Standard errors                             Sandwich
##   Information bread                           Observed
##   Observed information based on                Hessian
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)
##   i =~                                                
##     T1                1.000                           
##     T2                1.000                           
##     T4                1.000                           
##   s =~                                                
##     T1                0.000                           
##     T2                3.000                           
##     T4               12.000                           
##   q =~                                                
##     T1                0.000                           
##     T2                1.000                           
##     T4                4.000                           
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)
##   i ~~                                                
##     s                -0.016       NA                  
##     q                -0.005       NA                  
##   s ~~                                                
##     q                -0.026       NA                  
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)
##    .T1                0.000                           
##    .T2                0.000                           
##    .T4                0.000                           
##     i                 2.603       NA                  
##     s                -0.059       NA                  
##     q                -0.020       NA                  
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)
##    .T1                2.913       NA                  
##    .T2                1.002       NA                  
##    .T4                0.604       NA                  
##     i                 1.002       NA                  
##     s                 0.011       NA                  
##     q                 0.046       NA

GOSE - Covariate models

Table 14a Linear model fitted to ADULT cases, with Age as a time-invariant covariate and Severity as a time-varying covariate. The model is significant, allowing the null to be rejected.

## lavaan 0.6.16 ended normally after 74 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of model parameters                        13
## 
##                                                   Used       Total
##   Number of observations                           207         294
##   Number of missing patterns                         8            
## 
## Model Test User Model:
##                                                       
##   Test statistic                                 5.583
##   Degrees of freedom                                 8
##   P-value (Chi-square)                           0.694
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)
##   i =~                                                
##     T2                1.000                           
##     T3                1.000                           
##     T4                1.000                           
##   s =~                                                
##     T2                3.000                           
##     T3                6.000                           
##     T4               12.000                           
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)
##   i ~                                                 
##     Age_1            -0.012    0.006   -1.852    0.064
##   s ~                                                 
##     Age_1            -0.000    0.000   -0.733    0.464
##   T2 ~                                                
##     Sev_2            -2.827    0.358   -7.890    0.000
##   T3 ~                                                
##     Sev_3            -2.674    0.341   -7.843    0.000
##   T4 ~                                                
##     Sev_4            -2.717    0.361   -7.527    0.000
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)
##  .i ~~                                                
##    .s                -0.007    0.041   -0.173    0.863
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)
##    .T2                0.000                           
##    .T3                0.000                           
##    .T4                0.000                           
##    .i                 9.777    0.559   17.483    0.000
##    .s                 0.040    0.039    1.034    0.301
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)
##    .T2                0.749    0.217    3.450    0.001
##    .T3                0.589    0.145    4.060    0.000
##    .T4               -0.048    0.410   -0.116    0.908
##    .i                 1.943    0.388    5.007    0.000
##    .s                 0.006    0.008    0.810    0.418

Table 14b Linear model fitted to PEDIATRIC cases, with Age as a time-invariant covariate and Severity as a time-varying covariate. The model does not perform significantly well.

## lavaan 0.6.16 did NOT end normally after 67 iterations
## ** WARNING ** Estimates below are most likely unreliable
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of model parameters                        13
## 
##                                                   Used       Total
##   Number of observations                            85         159
##   Number of missing patterns                         8            
## 
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)
##   i =~                                                
##     T2                1.000                           
##     T3                1.000                           
##     T4                1.000                           
##   s =~                                                
##     T2                3.000                           
##     T3                6.000                           
##     T4               12.000                           
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)
##   i ~                                                 
##     Age_1            -0.031       NA                  
##   s ~                                                 
##     Age_1             0.003       NA                  
##   T2 ~                                                
##     Sev_2             0.818       NA                  
##   T3 ~                                                
##     Sev_3             0.547       NA                  
##   T4 ~                                                
##     Sev_4             0.171       NA                  
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)
##  .i ~~                                                
##    .s                -0.132       NA                  
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)
##    .T2                0.000                           
##    .T3                0.000                           
##    .T4                0.000                           
##    .i                 1.418       NA                  
##    .s                 0.017       NA                  
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)
##    .T2                0.411       NA                  
##    .T3                0.509       NA                  
##    .T4                0.002       NA                  
##    .i                 2.272       NA                  
##    .s                 0.013       NA

GOSE - Comparison

Table 15a Comparison of the linear and quadratic models, for ADULT cases.

## 
## Scaled Chi-Squared Difference Test (method = "satorra.bentler.2001")
## 
## lavaan NOTE:
##     The "Chisq" column contains standard test statistics, not the
##     robust test that should be reported per model. A robust difference
##     test is a function of two standard (not robust) statistics.
##  
##                   Df    AIC    BIC   Chisq Chisq diff Df diff Pr(>Chisq)    
## gose_adult_gc_lin  1 1481.0 1505.2  1.3046                                  
## gose_adult_gc_int  4 1494.9 1510.1 21.2485     41.543       3  5.016e-09 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Table 15b Comparison of the linear and quadratic models, for PEDIATRIC cases.

## 
## Scaled Chi-Squared Difference Test (method = "satorra.bentler.2001")
## 
## lavaan NOTE:
##     The "Chisq" column contains standard test statistics, not the
##     robust test that should be reported per model. A robust difference
##     test is a function of two standard (not robust) statistics.
##  
##                 Df    AIC    BIC  Chisq Chisq diff Df diff Pr(>Chisq)    
## gose_ped_gc_lin  1 710.50 728.38 24.514                                  
## gose_ped_gc_int  4 724.23 735.40 44.237      22.66       3  4.753e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Figure 9a Model-estimated plots for ADULT cases.

Figure 9b Model-estimated plots for PEDIATRIC cases.

PEDSQOL - Observed data

Figure 10 Group trajectories (observed data) for the PEDSQOL.

PEDSQOL - Linear model

Table 16 Linear model fitted to all PEDSQOL cases. The model does not allow the null hypothesis to be rejected.

“The null hypothesis in an SEM analysis is that the covariance matrix implied or reproduced by the specified model is statistically the same as the input covariance matrix [where covariances are set to 0]. Contrary to usual hypothesis testing, we hope to retain the null hypothesis that the two matrices are statistically the same.”

## lavaan 0.6.16 ended normally after 127 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of model parameters                         8
## 
##                                                   Used       Total
##   Number of observations                            71         267
## 
## Model Test User Model:
##                                               Standard      Scaled
##   Test Statistic                                 7.343       6.646
##   Degrees of freedom                                 1           1
##   P-value (Chi-square)                           0.007       0.010
##   Scaling correction factor                                  1.105
##     Yuan-Bentler correction (Mplus variant)                       
## 
## Parameter Estimates:
## 
##   Standard errors                             Sandwich
##   Information bread                           Observed
##   Observed information based on                Hessian
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)
##   i =~                                                
##     T1                1.000                           
##     T2                1.000                           
##     T4                1.000                           
##   s =~                                                
##     T1                0.000                           
##     T2                1.000                           
##     T4                2.000                           
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)
##   i ~~                                                
##     s               -45.348   24.374   -1.861    0.063
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)
##    .T1                0.000                           
##    .T2                0.000                           
##    .T4                0.000                           
##     i                70.740    2.550   27.740    0.000
##     s                 3.829    1.131    3.386    0.001
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)
##    .T1               93.260   55.403    1.683    0.092
##    .T2              111.722   27.383    4.080    0.000
##    .T4              -22.125   51.716   -0.428    0.669
##     i               290.400   66.010    4.399    0.000
##     s                73.038   23.463    3.113    0.002

PEDSQOL - Quadratic model

Table 17 Quadratic model fitted to PEDSQOL cases. The model does not allow the null hypothesis to be rejected.

“The null hypothesis in an SEM analysis is that the covariance matrix implied or reproduced by the specified model is statistically the same as the input covariance matrix [where covariances are set to 0]. Contrary to usual hypothesis testing, we hope to retain the null hypothesis that the two matrices are statistically the same.”

## lavaan 0.6.16 ended normally after 117 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of model parameters                        12
## 
##                                                   Used       Total
##   Number of observations                            71         267
## 
## Model Test User Model:
##                                                       
##   Test statistic                                    NA
##   Degrees of freedom                                -3
##   P-value (Unknown)                                 NA
## 
## Parameter Estimates:
## 
##   Standard errors                             Sandwich
##   Information bread                           Observed
##   Observed information based on                Hessian
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)
##   i =~                                                
##     T1                1.000                           
##     T2                1.000                           
##     T4                1.000                           
##   s =~                                                
##     T1                0.000                           
##     T2                1.000                           
##     T4                2.000                           
##   q =~                                                
##     T1                0.000                           
##     T2                1.000                           
##     T4                4.000                           
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)
##   i ~~                                                
##     s               110.510       NA                  
##     q               -53.140       NA                  
##   s ~~                                                
##     q                 4.479       NA                  
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)
##    .T1                0.000                           
##    .T2                0.000                           
##    .T4                0.000                           
##     i                69.456       NA                  
##     s                11.757       NA                  
##     q                -3.567       NA                  
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)
##    .T1              190.377       NA                  
##    .T2               55.100       NA                  
##    .T4               44.289       NA                  
##     i               191.634       NA                  
##     s                 1.547       NA                  
##     q                 3.015       NA

PEDSQOL - Covariate models

Table 18 Linear model fitted to ALL cases, with Age as a time-invariant covariate and Severity as a time-varying covariate. The model is significant, allowing the null to be rejected.

## lavaan 0.6.16 ended normally after 143 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of model parameters                        13
## 
##                                                   Used       Total
##   Number of observations                           107         267
##   Number of missing patterns                         7            
## 
## Model Test User Model:
##                                                       
##   Test statistic                                 0.703
##   Degrees of freedom                                 8
##   P-value (Chi-square)                           1.000
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Observed
##   Observed information based on                Hessian
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)
##   i =~                                                
##     T1                1.000                           
##     T2                1.000                           
##     T4                1.000                           
##   s =~                                                
##     T1                1.000                           
##     T2                3.000                           
##     T4               12.000                           
## 
## Regressions:
##                    Estimate  Std.Err  z-value  P(>|z|)
##   i ~                                                 
##     Age_1            -0.169    0.088   -1.925    0.054
##   s ~                                                 
##     Age_1            -0.002    0.006   -0.375    0.708
##   T1 ~                                                
##     Sev_1           -47.735  920.788   -0.052    0.959
##   T2 ~                                                
##     Sev_2           -41.011   13.108   -3.129    0.002
##   T4 ~                                                
##     Sev_4           -51.188 4143.616   -0.012    0.990
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)
##  .i ~~                                                
##    .s               -10.346    4.054   -2.552    0.011
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)
##    .T1                0.000                           
##    .T2                0.000                           
##    .T4                0.000                           
##    .i               122.195 1381.150    0.088    0.930
##    .s                 1.366  460.390    0.003    0.998
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)
##    .T1              152.242   42.791    3.558    0.000
##    .T2               99.015   30.600    3.236    0.001
##    .T4             -323.975  163.531   -1.981    0.048
##    .i               257.720   53.174    4.847    0.000
##    .s                 4.560    1.708    2.669    0.008

PEDSQOL - Comparison

Table 16 Comparison of the linear and quadratic models, for ADULT cases.

Figure 10 Model-estimated plots for PEDSQOL cases.

Trajectory analysis

GOSE - Adult

GOSE - Pediatric

PEDSQOL