Last updated: 2022-02-21

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Knit directory: danish_glad/

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Rmd ae74890 Bernard 2022-02-21 formal analysis
html ae74890 Bernard 2022-02-21 formal analysis

Load package

rm (list = ls())
# Helper
library (tidyverse)
library (skimr)
library (cowplot)
library (ggpubr)
library (flextable)
library (officer)
library (arsenal)
library (rstatix)
library (kableExtra)
library (gtsummary)

# BN
library (bnlearn)
library (Rgraphviz)

#SEM
library (lavaan)
library (semPlot)
library (semptools)

# Cluster 
library (cluster)
library (factoextra)
library (fastcluster)

Load data

This is an imputed dataset

df <- mice::complete (readRDS("output/df_base.RDS")$imp) %>%
  select (-c(trajec, bmi, sbt)) %>%
  mutate (sex = factor (sex))%>%
  mutate_at (vars(fitness:freedom), as.numeric)

Preview data

tbl_summary(df) 
Characteristic N = 3,8491
flex_mob
0 8 (0.2%)
1 623 (16%)
2 584 (15%)
3 859 (22%)
4 1,775 (46%)
abds_ms 45 (25, 76)
ext_ms 71 (35, 142)
sex
1 1,169 (30%)
2 2,680 (70%)
age 59 (50, 67)
lbp 6.00 (4.00, 7.00)
legp 3.00 (0.00, 5.00)
duration
1 121 (3.1%)
2 126 (3.3%)
3 416 (11%)
4 823 (21%)
5 2,363 (61%)
ipq 43 (35, 50)
fabq 9.0 (5.0, 13.0)
odi 24 (16, 33)
ases 6.94 (5.50, 8.20)
fitness
1 297 (7.7%)
2 471 (12%)
3 591 (15%)
4 533 (14%)
5 1,128 (29%)
6 386 (10%)
7 324 (8.4%)
8 96 (2.5%)
9 23 (0.6%)
strn
1 252 (6.5%)
2 430 (11%)
3 662 (17%)
4 488 (13%)
5 1,059 (28%)
6 471 (12%)
7 339 (8.8%)
8 96 (2.5%)
9 52 (1.4%)
endure
1 334 (8.7%)
2 554 (14%)
3 678 (18%)
4 521 (14%)
5 943 (24%)
6 392 (10%)
7 299 (7.8%)
8 80 (2.1%)
9 48 (1.2%)
flexible
1 469 (12%)
2 564 (15%)
3 662 (17%)
4 519 (13%)
5 799 (21%)
6 317 (8.2%)
7 272 (7.1%)
8 123 (3.2%)
9 124 (3.2%)
balance
1 486 (13%)
2 428 (11%)
3 531 (14%)
4 441 (11%)
5 995 (26%)
6 390 (10%)
7 286 (7.4%)
8 149 (3.9%)
9 143 (3.7%)
freedom
1 193 (5.0%)
2 328 (8.5%)
3 664 (17%)
4 624 (16%)
5 1,098 (29%)
6 361 (9.4%)
7 325 (8.4%)
8 147 (3.8%)
9 109 (2.8%)

1 n (%); Median (IQR)

df %>%
  kable () %>%
    kable_styling() %>%
    scroll_box(width = "700px", height = "500px")
flex_mob abds_ms ext_ms sex age lbp legp duration ipq fabq odi ases fitness strn endure flexible balance freedom
3 23 38 2 75 5 5 5 34.0 9 24.000000 5.680000 5 5 5 2 2 3
4 120 160 1 57 1 3 5 35.0 13 8.000000 6.760000 6 5 6 3 8 6
4 29 6 2 60 3 1 4 22.0 4 0.000000 9.200000 2 1 2 9 3 2
3 120 180 2 76 3 2 4 36.0 8 13.333333 8.920000 7 4 4 5 3 6
1 16 19 2 37 8 4 5 68.0 14 42.000000 4.780000 3 3 3 1 1 1
1 14 30 1 58 5 5 5 39.0 24 34.000000 6.400000 5 5 3 5 1 4
4 77 136 2 65 5 7 4 35.0 8 22.222221 7.300000 5 4 5 5 9 6
1 47 121 2 56 5 2 4 49.0 9 28.000000 4.060000 5 5 5 5 7 8
4 51 68 1 61 6 4 2 45.0 13 17.777779 8.200000 3 4 3 1 7 6
1 58 39 2 35 2 7 4 51.0 9 12.000000 5.680000 3 2 2 2 3 2
4 54 115 2 67 3 0 5 42.0 11 16.000000 7.300000 2 3 3 2 2 3
4 120 180 2 75 6 8 4 47.0 12 27.500000 6.040000 6 2 6 6 2 6
4 10 44 2 24 6 5 5 49.1 18 44.000000 6.580000 1 3 3 9 7 5
3 9 15 1 44 5 0 4 37.0 19 15.555555 10.000000 5 6 4 8 9 5
3 35 61 1 75 3 3 5 48.0 21 17.777779 3.700000 5 3 3 3 3 3
2 120 180 2 52 4 0 4 24.0 3 18.000000 10.000000 5 7 1 4 9 8
3 18 82 2 60 5 7 5 50.0 4 32.000000 7.840000 1 5 4 5 2 5
3 34 23 2 31 8 3 4 51.0 24 32.000000 3.520000 5 3 3 4 2 3
4 24 32 2 67 7 0 4 38.0 10 22.222221 6.400000 5 5 4 6 6 6
3 85 75 2 68 8 0 4 38.0 4 10.000000 8.200000 4 3 4 2 8 5
3 21 68 2 43 3 1 5 36.0 13 12.000000 8.200000 2 3 2 5 1 5
4 69 120 2 54 2 0 5 35.0 9 12.000000 8.020001 5 3 5 4 3 4
4 5 10 2 86 6 0 5 17.1 15 28.888889 9.100000 3 2 3 4 1 5
4 64 26 2 73 0 0 2 21.0 0 0.000000 6.400000 5 5 5 5 1 5
3 19 24 2 76 9 7 5 27.0 5 35.555557 7.120000 6 3 6 6 6 6
1 67 68 2 42 7 0 5 42.0 1 22.000000 9.280000 3 3 3 1 2 2
4 28 17 2 74 5 2 5 41.0 13 14.000000 6.040000 5 5 5 5 5 5
4 38 61 2 69 5 8 3 47.0 14 17.777779 8.020001 7 7 7 7 6 8
4 120 112 2 59 6 7 4 47.0 8 28.000000 7.660000 5 5 5 6 5 4
3 48 58 1 36 5 4 4 32.0 11 14.000000 8.920000 6 6 5 3 5 3
4 38 180 2 44 0 0 4 27.0 0 2.000000 9.100000 6 5 5 3 3 6
4 92 180 1 54 3 0 3 28.0 3 8.000000 9.280000 4 4 5 7 6 5
2 53 20 2 55 7 7 5 54.0 6 32.000000 6.760000 5 2 3 2 1 2
1 45 47 2 61 8 8 3 53.0 21 48.000000 5.000000 5 2 2 1 1 1
4 58 110 2 53 6 6 5 50.0 9 35.555557 6.760000 1 6 6 5 4 3
2 52 42 2 58 4 2 5 20.0 4 6.000000 8.200000 1 4 2 3 6 5
4 120 135 2 53 4 0 5 49.0 5 16.000000 8.380000 1 5 5 2 5 2
1 12 20 2 67 5 4 5 42.0 6 46.000000 7.120000 5 1 1 5 5 5
4 35 106 1 68 5 5 5 28.0 4 10.000000 8.200000 5 4 6 3 3 5
3 77 150 1 60 5 3 4 48.0 6 35.555557 7.480000 6 9 8 3 4 8
4 20 30 2 60 4 1 4 40.0 13 22.000000 8.200000 2 3 5 1 5 4
3 109 51 2 41 6 2 4 56.0 17 40.000000 6.200000 5 9 9 8 7 9
2 59 180 1 66 6 6 4 39.0 8 14.000000 5.600000 5 6 6 3 3 3
3 28 68 1 67 6 6 4 47.0 9 16.000000 5.500000 8 9 9 7 7 9
4 14 37 2 46 8 4 4 41.0 13 32.000000 7.200000 3 6 5 2 5 4
4 19 49 2 50 0 0 1 32.0 9 2.222222 9.800000 3 9 5 5 5 9
3 30 57 2 59 7 7 5 49.0 1 30.000000 5.500000 2 2 2 2 1 2
2 120 180 2 59 5 0 5 42.0 4 33.333332 8.740000 5 5 3 1 5 5
3 26 123 2 69 8 2 5 55.0 12 44.444443 3.700000 3 4 3 3 3 3
4 74 150 2 70 8 0 5 46.0 15 20.000000 6.040000 5 5 5 6 6 5
4 9 18 2 72 4 1 4 39.0 8 16.000000 7.660000 5 5 4 6 5 5
3 40 0 2 63 8 0 5 54.0 12 42.000000 7.660000 2 4 4 5 4 3
2 25 90 1 51 4 2 5 21.0 12 22.000000 6.400000 1 2 2 3 5 5
1 34 33 2 64 6 2 4 44.0 15 30.000000 8.020001 4 3 2 3 3 3
3 28 47 2 60 2 0 5 32.0 9 24.000000 5.000000 4 5 4 4 6 7
1 94 180 1 57 7 2 5 52.0 11 12.000000 2.980000 7 4 7 3 6 4
3 24 57 2 57 7 4 4 44.0 17 32.000000 4.780000 4 2 1 8 7 7
2 83 120 1 40 5 2 5 52.0 20 32.000000 6.220000 6 2 2 2 5 3
3 7 21 2 43 8 8 4 69.0 22 55.555557 5.500000 1 1 4 1 3 4
2 54 75 2 58 3 6 5 33.0 16 15.555555 6.580000 5 4 4 3 4 5
1 0 0 2 60 10 10 5 52.0 16 64.000000 3.400000 5 1 1 1 1 1
1 27 52 2 38 6 2 5 27.0 14 20.000000 5.680000 5 4 5 3 2 5
3 47 29 2 50 5 5 5 45.0 8 14.000000 6.040000 6 4 3 2 1 3
2 81 60 1 48 4 4 1 35.0 9 18.000000 7.600000 5 5 6 3 3 4
4 36 11 1 42 8 0 5 36.0 1 26.000000 9.100000 7 9 9 7 5 7
3 120 180 1 72 7 6 5 67.0 13 24.444445 6.220000 7 6 6 5 4 4
1 120 19 1 56 4 1 5 49.0 8 22.000000 8.740000 7 7 7 2 3 6
3 84 54 2 71 8 2 5 54.9 4 40.000000 4.240000 3 6 6 6 6 3
2 68 108 1 69 6 0 5 46.0 6 16.000000 7.800000 7 6 6 3 3 4
1 61 23 1 53 8 8 5 59.0 9 42.000000 9.200000 5 6 6 7 3 3
1 11 60 2 54 4 0 5 38.0 12 36.000000 7.120000 2 1 2 3 1 2
4 32 180 1 44 3 0 5 37.0 5 18.000000 8.000000 6 5 6 2 5 3
4 0 13 2 72 7 5 5 49.0 10 26.000000 7.660000 1 1 1 5 5 1
2 120 60 1 70 7 5 5 48.0 16 14.000000 5.000000 8 8 8 5 5 5
4 12 54 2 69 3 3 5 34.0 16 24.000000 5.320000 5 5 4 5 6 6
4 49 180 2 75 4 5 5 51.0 12 40.000000 6.040000 5 7 7 3 6 3
4 51 44 2 67 6 6 4 30.0 10 8.000000 6.400000 5 5 5 5 4 5
4 68 180 2 64 5 0 5 39.0 4 13.333333 7.120000 7 2 3 9 6 6
3 61 88 2 64 8 5 5 45.0 16 13.333333 8.000000 4 4 4 4 5 5
4 29 33 2 49 8 0 5 45.7 11 32.000000 7.300000 4 3 4 2 1 6
3 14 14 1 80 8 0 5 57.0 10 28.000000 5.320000 5 5 5 3 3 3
0 48 75 2 44 8 1 4 44.0 5 26.000000 6.400000 1 3 3 4 5 5
4 18 25 2 44 6 0 5 48.0 9 28.000000 3.520000 2 2 1 1 5 3
1 15 14 2 63 5 4 5 56.0 20 44.000000 2.800000 5 3 2 4 5 4
4 72 99 2 59 1 3 3 24.0 14 14.000000 6.000000 7 6 6 5 5 6
3 28 49 2 53 9 8 5 52.0 11 26.000000 10.000000 5 4 4 9 9 4
4 77 180 2 58 3 0 3 31.0 11 12.000000 7.300000 6 1 4 8 7 8
3 37 81 2 66 8 0 5 44.0 15 16.000000 6.600000 7 7 6 7 6 3
4 40 57 1 79 7 5 5 54.0 12 42.222221 3.520000 5 6 2 6 5 3
3 21 39 1 53 6 2 5 45.0 6 22.000000 6.580000 5 5 2 2 5 3
4 19 15 1 81 4 4 5 38.0 8 24.000000 4.000000 4 4 6 3 7 7
2 120 122 2 63 9 3 1 47.0 7 35.000000 7.120000 4 3 4 4 5 4
4 120 180 2 42 5 3 5 40.0 11 20.000000 4.400000 4 3 2 9 3 5
4 24 22 2 49 6 6 5 53.0 11 28.000000 5.500000 2 2 2 7 5 4
0 22 104 2 43 8 8 4 32.0 4 34.000000 6.940000 3 1 5 1 5 5
4 90 120 1 60 4 1 4 39.0 0 22.000000 8.200000 6 6 4 2 7 4
3 27 67 1 67 8 8 3 38.0 11 26.000000 9.600000 7 5 6 6 5 9
4 120 180 2 59 4 4 5 50.0 0 8.000000 2.260000 7 8 8 8 7 7
2 56 180 1 47 0 0 3 39.0 7 2.000000 9.640000 1 8 8 1 6 8
2 120 120 1 25 4 3 5 35.0 6 26.000000 8.600000 4 5 6 2 6 3
3 43 58 2 51 4 0 5 51.0 9 28.888889 8.920000 4 5 4 2 1 3
4 15 10 1 79 7 9 4 79.0 12 52.500000 1.000000 3 2 1 2 1 1
3 120 180 2 50 7 0 1 39.0 8 16.000000 6.940000 8 8 9 7 9 9
1 32 180 2 49 5 1 5 25.0 10 22.000000 7.300000 4 3 3 1 5 3
2 53 18 2 43 5 1 5 33.0 8 16.000000 6.040000 2 5 2 2 2 3
3 53 127 2 52 6 8 5 43.0 7 18.000000 7.400000 2 5 4 2 8 7
4 12 38 1 57 6 5 2 39.0 7 12.000000 9.100000 2 5 5 6 5 5
4 53 27 2 47 8 4 5 56.0 15 36.000000 3.800000 3 3 3 1 1 4
2 15 20 1 56 10 0 5 43.0 6 14.000000 10.000000 2 5 4 3 7 5
4 67 120 2 45 4 0 5 31.0 0 8.000000 10.000000 3 5 1 3 2 4
3 16 27 2 44 8 8 4 70.0 22 38.000000 2.800000 1 1 3 4 6 3
1 120 128 1 77 5 0 3 38.0 9 22.222221 4.400000 7 7 7 3 5 5
2 120 45 1 70 5 3 5 49.0 15 26.000000 6.800000 7 7 8 5 6 5
1 0 36 1 58 7 0 5 69.7 8 44.000000 5.400000 4 6 5 1 4 3
4 7 41 2 70 8 1 5 55.0 8 35.555557 6.580000 2 2 2 5 1 5
4 39 38 2 62 8 6 5 36.0 4 16.000000 7.660000 5 5 5 5 5 5
1 31 42 2 71 4 0 4 47.0 9 26.000000 7.200000 8 4 4 9 9 8
2 120 120 1 76 4 4 5 52.0 8 26.000000 6.760000 2 2 2 3 1 2
4 120 180 2 50 6 1 5 51.0 0 32.000000 6.580000 5 1 1 4 6 8
3 7 17 2 61 8 6 5 42.0 2 54.000000 7.300000 4 1 1 1 1 1
2 82 180 1 56 7 0 5 46.0 24 38.000000 5.500000 4 2 2 1 6 5
3 32 18 2 75 10 1 5 49.0 17 26.666666 8.200000 8 6 5 8 6 8
2 18 33 2 66 6 3 5 36.0 7 26.000000 6.400000 3 3 1 2 2 4
4 70 75 2 67 3 0 5 11.0 7 4.000000 10.000000 7 7 7 7 2 9
1 23 21 2 77 6 6 5 47.0 9 42.500000 4.240000 1 3 3 2 7 3
2 15 45 1 54 7 6 3 56.0 7 36.000000 4.780000 3 5 4 3 4 4
1 63 180 1 42 3 6 4 54.0 10 30.000000 6.600000 3 3 3 2 6 3
1 76 5 2 47 3 0 4 26.0 15 16.000000 8.200000 5 4 4 2 5 3
3 60 90 2 42 4 2 5 40.0 9 17.777779 7.840000 5 5 5 9 5 5
1 70 131 1 57 7 3 5 45.0 15 18.000000 5.600000 5 2 4 6 5 5
4 108 135 2 66 2 0 4 40.0 12 14.000000 7.300000 5 5 5 5 5 5
4 48 21 2 62 5 5 5 31.0 18 20.000000 8.020001 4 5 2 2 5 5
4 23 74 2 53 7 4 5 44.0 3 22.000000 10.000000 6 5 4 7 5 4
4 55 80 2 39 7 3 5 41.0 6 34.000000 6.040000 5 1 1 8 4 5
4 26 34 2 66 7 3 4 42.0 4 28.000000 5.800000 5 5 5 5 2 3
4 30 30 1 72 5 0 5 33.0 3 20.000000 6.040000 1 5 5 1 1 3
3 18 21 2 75 6 3 4 33.0 11 24.000000 6.220000 7 5 7 7 1 6
1 31 3 2 23 3 2 3 45.0 12 14.000000 8.200000 3 2 4 1 6 4
4 41 28 2 70 3 0 5 44.0 13 20.000000 6.580000 4 6 6 2 6 1
4 73 180 1 43 3 2 5 34.0 9 6.000000 8.200000 4 7 7 5 2 6
4 10 30 2 47 3 0 3 33.0 9 34.000000 8.200000 2 3 3 3 6 5
4 48 149 2 79 5 0 5 55.0 3 32.000000 5.500000 5 5 1 5 1 1
4 29 142 2 54 6 3 3 43.0 8 34.000000 5.140000 5 3 3 4 5 4
4 61 180 1 72 4 2 5 30.0 13 16.000000 8.920000 5 4 4 5 1 6
4 84 120 2 59 5 2 5 36.0 4 22.000000 8.600000 6 6 7 7 8 8
4 33 50 2 75 4 3 5 37.0 0 40.000000 6.220000 3 1 1 4 2 5
3 120 180 2 45 8 6 5 52.0 5 36.000000 3.160000 6 3 4 7 3 7
3 21 180 2 58 5 5 5 55.0 9 22.000000 4.780000 6 3 3 3 3 4
4 45 95 2 65 8 8 5 32.0 7 34.000000 7.000000 4 4 4 4 5 5
4 120 124 2 47 6 6 3 39.0 4 34.000000 5.140000 5 2 4 5 4 5
3 40 45 2 57 4 2 5 31.0 5 12.000000 8.200000 6 6 5 4 8 7
1 9 20 2 60 6 4 5 49.0 10 48.000000 5.860000 9 5 3 1 1 1
1 55 100 1 53 2 0 2 33.0 12 10.000000 5.500000 5 5 5 4 5 5
4 24 104 2 23 4 2 3 17.0 0 10.000000 9.100000 2 2 2 2 4 5
3 26 46 2 55 3 5 4 28.0 5 16.000000 7.660000 1 2 5 5 4 7
3 29 40 2 63 6 6 5 39.0 14 40.000000 4.960000 3 5 3 3 4 4
3 39 103 2 61 7 2 5 47.0 9 12.000000 8.400000 4 2 2 4 3 1
1 16 107 2 81 9 0 5 51.0 17 42.222221 3.700000 3 2 2 1 2 2
2 74 180 1 68 6 2 4 43.0 1 12.000000 6.220000 3 4 2 2 9 4
4 93 111 1 60 4 2 2 54.0 5 28.000000 9.280000 6 5 5 3 4 4
4 60 60 2 65 3 0 5 47.0 12 8.000000 8.200000 5 5 5 7 9 9
1 25 90 2 59 6 7 5 61.0 19 36.000000 5.320000 4 6 2 1 5 1
1 57 66 1 53 8 1 5 47.0 12 10.000000 7.400000 5 9 7 1 3 5
4 37 44 1 73 7 8 5 55.0 14 36.000000 4.780000 5 2 3 2 1 3
4 120 135 2 71 2 0 5 33.0 10 12.000000 7.840000 5 3 2 4 3 5
2 10 30 2 59 2 2 5 32.0 6 10.000000 8.200000 4 2 2 5 2 5
3 33 85 2 64 8 0 5 53.0 15 17.777779 7.000000 4 4 3 4 4 8
3 22 15 2 65 6 6 5 43.0 13 48.888889 3.880000 3 3 3 3 2 2
3 34 61 2 75 7 2 5 41.0 14 22.222221 8.200000 4 4 4 5 4 5
4 47 180 2 53 2 2 5 39.0 4 16.000000 8.400000 2 3 1 2 8 7
4 36 180 2 53 5 9 5 42.0 16 20.000000 7.000000 7 7 5 2 8 2
2 75 77 2 52 6 0 5 39.0 14 20.000000 8.020001 4 4 3 3 7 3
4 42 100 2 59 3 0 3 31.0 1 18.000000 8.020001 5 4 4 6 9 4
4 49 103 2 72 3 7 4 40.0 5 14.000000 5.680000 5 6 5 4 2 3
4 120 180 2 42 3 0 5 37.0 2 10.000000 8.800000 4 5 3 6 6 6
1 40 180 2 45 8 0 3 46.0 2 8.000000 8.400000 4 5 4 2 4 4
4 0 40 2 79 0 4 4 41.0 12 33.333332 4.060000 5 2 2 5 1 4
4 88 72 1 75 5 0 5 44.0 11 24.444445 4.420000 5 3 5 5 4 5
4 120 180 2 41 7 0 5 42.0 7 20.000000 6.760000 2 5 3 5 5 3
1 110 92 1 45 4 1 5 37.0 4 8.000000 9.000000 7 7 5 6 8 7
4 65 65 2 81 5 1 5 55.0 10 35.000000 6.200000 5 3 2 5 9 2
4 46 138 2 28 7 1 1 40.0 9 16.000000 8.600000 2 6 4 4 5 5
4 15 170 2 50 7 7 4 49.0 0 20.000000 7.000000 3 5 3 3 5 4
2 23 33 2 42 3 4 5 21.0 11 32.000000 9.000000 7 5 6 7 5 5
3 58 180 1 61 7 4 4 20.0 15 24.000000 9.100000 5 6 7 5 5 7
4 120 180 2 53 2 0 4 15.0 8 20.000000 4.800000 1 3 1 3 2 2
1 56 57 1 58 6 0 4 48.0 11 16.000000 8.560000 7 7 7 9 9 4
1 9 7 2 54 10 8 4 58.0 16 52.000000 4.420000 3 1 1 9 2 3
3 120 100 2 58 7 5 5 45.0 11 30.000000 5.680000 4 7 7 8 3 5
4 67 180 2 32 6 3 2 26.0 3 20.000000 9.280000 3 5 7 4 3 7
4 70 180 1 41 8 0 1 43.0 10 4.000000 9.640000 5 6 6 3 8 8
1 18 8 2 56 7 7 5 47.0 7 33.333332 6.580000 1 3 1 1 4 2
1 108 115 1 75 5 5 5 55.0 14 44.000000 4.600000 3 7 5 3 5 3
1 22 23 2 48 7 7 4 53.0 7 22.000000 7.480000 1 5 3 8 1 4
1 68 180 1 62 4 0 5 32.0 8 8.000000 7.400000 5 5 5 3 6 5
4 120 180 1 40 4 0 5 55.0 16 15.555555 6.400000 7 9 8 5 8 4
4 18 52 2 47 4 4 5 50.0 8 40.000000 7.660000 2 1 1 4 1 2
1 56 180 1 47 4 3 5 45.0 8 20.000000 6.800000 5 4 4 2 5 2
4 89 125 1 64 1 4 5 11.0 10 6.000000 7.300000 5 5 5 5 8 5
4 17 83 2 72 5 0 3 29.0 13 28.000000 5.000000 4 1 3 1 2 2
4 26 15 2 52 4 6 5 48.0 9 34.000000 8.020001 7 7 5 2 2 2
3 41 143 2 48 4 1 5 53.0 7 16.000000 6.220000 2 3 3 6 6 5
4 43 180 2 59 6 6 5 39.0 0 18.000000 6.220000 2 5 4 5 3 5
4 44 22 2 66 6 0 4 28.0 3 38.000000 5.860000 3 5 3 3 7 5
4 66 94 2 24 5 0 5 31.0 0 10.000000 8.560000 5 6 5 6 3 9
4 46 180 1 67 8 2 5 42.0 6 6.000000 8.920000 5 6 6 6 6 5
4 8 12 2 47 3 7 4 45.0 11 26.000000 5.320000 5 5 5 1 3 2
2 12 17 1 52 8 4 4 54.0 13 38.000000 6.000000 2 4 2 1 3 3
2 65 180 1 68 5 0 5 30.0 24 24.444445 5.500000 7 7 7 4 3 4
3 120 180 1 71 6 6 5 34.3 1 10.000000 6.940000 7 9 9 9 9 9
3 36 50 2 51 5 1 4 30.0 6 14.000000 6.220000 5 3 3 5 5 5
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4 8 10 2 73 6 4 5 21.0 5 11.111111 7.840000 5 5 5 5 1 9
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2 52 180 2 61 8 0 3 52.0 14 28.888889 9.000000 4 4 3 5 5 3
1 40 55 1 59 8 7 5 64.0 16 51.111111 2.980000 6 6 6 3 4 3
1 33 0 2 46 9 6 4 44.0 12 28.888889 7.600000 7 4 5 3 8 6
4 97 143 1 60 3 0 3 43.0 3 20.000000 5.000000 5 5 5 3 9 5
2 120 0 1 65 2 2 4 36.0 10 24.000000 6.200000 5 5 3 1 5 5
1 20 12 1 61 7 7 5 39.0 10 44.000000 5.600000 3 3 3 3 6 5
3 60 40 1 45 5 7 5 60.0 14 32.000000 4.200000 5 5 2 4 3 3
3 8 30 1 69 8 7 5 51.0 12 24.000000 8.200000 5 5 5 8 6 7
4 10 17 2 42 7 2 5 51.0 17 24.000000 8.380000 5 3 3 2 1 3
3 56 7 2 74 5 3 5 38.0 0 50.000000 6.600000 1 3 2 5 5 5
4 120 180 2 60 6 6 5 52.0 9 30.000000 8.560000 4 4 4 6 5 4
3 120 145 1 41 2 0 3 43.0 17 10.000000 8.400000 8 8 8 7 5 7
3 45 3 1 49 5 1 1 52.0 12 20.000000 8.740000 5 5 1 5 6 4
4 80 40 2 68 2 0 5 31.0 9 18.000000 10.000000 5 4 4 5 1 5
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4 92 22 2 81 5 1 5 52.0 6 33.333332 6.220000 5 5 5 5 5 5
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4 59 48 2 67 7 4 5 49.0 6 32.000000 5.680000 2 2 4 4 4 3
4 54 64 2 53 5 5 5 50.0 15 26.000000 8.560000 4 4 2 3 4 3
4 75 180 2 53 0 0 5 22.0 0 10.000000 8.200000 6 5 6 5 8 8
3 74 163 1 67 1 0 5 17.0 3 2.222222 8.740000 5 5 5 3 6 5
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4 49 81 1 64 5 3 4 53.0 12 20.000000 7.120000 3 5 3 3 4 8
3 120 180 1 65 5 0 2 39.0 5 18.000000 7.480000 6 5 6 6 7 6
4 57 68 2 48 2 2 3 44.0 8 24.444445 10.000000 1 2 1 3 2 2
1 33 61 2 46 10 8 4 52.0 4 46.000000 6.220000 9 5 9 2 6 3
4 46 107 2 73 6 6 5 49.0 16 35.555557 4.800000 4 4 4 6 2 5
1 59 19 1 39 3 4 5 59.0 5 38.000000 2.080000 4 3 3 3 9 6
3 16 27 2 63 5 1 5 43.4 8 22.000000 4.780000 5 5 4 7 7 8
3 105 30 2 26 7 5 4 53.0 6 32.000000 2.800000 2 2 2 1 5 5
2 38 180 2 58 7 8 5 72.0 7 34.000000 6.220000 5 6 6 5 9 2
4 86 180 2 64 4 3 5 41.0 13 20.000000 6.760000 6 6 6 6 6 6
1 108 0 1 83 7 2 5 45.0 11 35.555557 8.800000 4 4 4 5 5 5
4 45 70 1 64 5 5 4 40.0 14 42.222221 4.420000 7 4 3 5 5 5
2 46 132 1 66 3 1 5 24.0 6 16.000000 8.200000 7 3 5 1 3 1
2 65 180 1 50 1 5 5 29.0 5 12.000000 6.400000 5 5 5 4 4 4
2 5 133 2 68 5 3 5 34.0 8 22.000000 8.200000 5 5 6 6 6 5
4 24 54 2 56 3 0 2 39.0 9 18.000000 9.640000 3 2 4 3 5 5
4 59 48 2 56 3 3 5 35.0 7 6.000000 9.100000 3 5 3 3 5 5
1 20 33 2 31 10 0 4 30.0 24 26.000000 9.280000 5 1 5 1 1 5
1 10 120 2 26 8 8 4 46.0 11 27.500000 5.680000 1 1 3 5 4 3
3 19 42 2 65 8 3 5 31.0 4 13.333333 7.660000 8 5 5 3 2 4
4 80 104 2 51 3 2 1 37.0 15 17.777779 8.200000 2 7 4 5 9 5
3 19 24 1 67 8 7 5 48.0 8 26.000000 7.660000 5 8 7 5 4 3
1 20 41 2 57 8 0 5 54.0 21 53.333332 3.800000 2 2 2 1 3 1
3 7 15 2 54 4 4 4 46.0 9 24.444445 5.860000 3 6 4 4 2 5
1 48 65 2 64 9 8 5 51.0 13 46.000000 7.000000 5 1 2 2 5 5
2 15 9 1 72 2 3 4 44.0 7 10.000000 8.020001 3 4 3 5 5 5

Cluster analysis

Performs cluster analysis using Gower’s distance and ward.D2 linkage.

dd <- daisy(df, metric="gower")

res.hc <- fastcluster::hclust(d = dd, method = "ward.D2")
plot (res.hc)

Select optimal clusters

Selected two from visual inspection, and collapsed two variables flex_mob and duration into binary variables.

grp <- cutree(res.hc, k = 2)


df_grp <- df %>%
  mutate (grp = factor (grp)) %>%
  mutate (flex_mob = fct_collapse(flex_mob,
                                  "0" = c("0","1", "2"),
                                  "1" = c("3", "4"))) %>%
  mutate (duration = fct_collapse(duration,
                                  "0" = c("1","2", "3"),
                                  "1" = c("4", "5")))

tab1 <- tableby(grp ~ ., data=df_grp)
summary (tab1, text=TRUE)


|             |   1 (N=2377)    |   2 (N=1472)    | Total (N=3849)  | p value|
|:------------|:---------------:|:---------------:|:---------------:|-------:|
|flex_mob     |                 |                 |                 | < 0.001|
|-  0         |   400 (16.8%)   |   815 (55.4%)   |  1215 (31.6%)   |        |
|-  1         |  1977 (83.2%)   |   657 (44.6%)   |  2634 (68.4%)   |        |
|abds_ms      |                 |                 |                 | < 0.001|
|-  Mean (SD) | 50.725 (35.748) | 59.186 (36.321) | 53.961 (36.198) |        |
|-  Range     | 0.000 - 120.000 | 0.000 - 120.000 | 0.000 - 120.000 |        |
|ext_ms       |                 |                 |                 | < 0.001|
|-  Mean (SD) | 83.315 (59.432) | 94.921 (61.324) | 87.753 (60.419) |        |
|-  Range     | 0.000 - 180.000 | 0.000 - 180.000 | 0.000 - 180.000 |        |
|sex          |                 |                 |                 | < 0.001|
|-  1         |    3 (0.1%)     |  1166 (79.2%)   |  1169 (30.4%)   |        |
|-  2         |  2374 (99.9%)   |   306 (20.8%)   |  2680 (69.6%)   |        |
|age          |                 |                 |                 |   0.596|
|-  Mean (SD) | 57.793 (12.728) | 58.018 (12.945) | 57.879 (12.810) |        |
|-  Range     | 16.000 - 87.000 | 19.000 - 90.000 | 16.000 - 90.000 |        |
|lbp          |                 |                 |                 | < 0.001|
|-  Mean (SD) |  5.501 (2.206)  |  5.216 (2.276)  |  5.392 (2.237)  |        |
|-  Range     | 0.000 - 10.000  | 0.000 - 10.000  | 0.000 - 10.000  |        |
|legp         |                 |                 |                 | < 0.001|
|-  Mean (SD) |  3.352 (2.843)  |  3.039 (2.766)  |  3.232 (2.817)  |        |
|-  Range     | 0.000 - 10.000  | 0.000 - 10.000  | 0.000 - 10.000  |        |
|duration     |                 |                 |                 |   0.315|
|-  0         |   398 (16.7%)   |   265 (18.0%)   |   663 (17.2%)   |        |
|-  1         |  1979 (83.3%)   |  1207 (82.0%)   |  3186 (82.8%)   |        |
|ipq          |                 |                 |                 |   0.634|
|-  Mean (SD) | 42.754 (11.145) | 42.576 (11.541) | 42.686 (11.297) |        |
|-  Range     | 1.000 - 76.000  | 3.400 - 79.000  | 1.000 - 79.000  |        |
|fabq         |                 |                 |                 |   0.002|
|-  Mean (SD) |  9.105 (5.420)  |  9.675 (5.587)  |  9.323 (5.491)  |        |
|-  Range     | 0.000 - 24.000  | 0.000 - 24.000  | 0.000 - 24.000  |        |
|odi          |                 |                 |                 | < 0.001|
|-  Mean (SD) | 26.071 (12.485) | 23.831 (12.550) | 25.215 (12.556) |        |
|-  Range     | 0.000 - 74.000  | 0.000 - 64.444  | 0.000 - 74.000  |        |
|ases         |                 |                 |                 |   0.023|
|-  Mean (SD) |  6.668 (1.883)  |  6.810 (1.894)  |  6.722 (1.888)  |        |
|-  Range     | 1.000 - 10.000  | 1.000 - 10.000  | 1.000 - 10.000  |        |
|fitness      |                 |                 |                 | < 0.001|
|-  Mean (SD) |  4.109 (1.787)  |  4.467 (1.827)  |  4.246 (1.811)  |        |
|-  Range     |  1.000 - 9.000  |  1.000 - 9.000  |  1.000 - 9.000  |        |
|strn         |                 |                 |                 | < 0.001|
|-  Mean (SD) |  4.180 (1.804)  |  4.650 (1.852)  |  4.360 (1.837)  |        |
|-  Range     |  1.000 - 9.000  |  1.000 - 9.000  |  1.000 - 9.000  |        |
|endure       |                 |                 |                 | < 0.001|
|-  Mean (SD) |  3.918 (1.820)  |  4.401 (1.926)  |  4.103 (1.876)  |        |
|-  Range     |  1.000 - 9.000  |  1.000 - 9.000  |  1.000 - 9.000  |        |
|flexible     |                 |                 |                 | < 0.001|
|-  Mean (SD) |  4.296 (2.145)  |  3.634 (1.913)  |  4.043 (2.084)  |        |
|-  Range     |  1.000 - 9.000  |  1.000 - 9.000  |  1.000 - 9.000  |        |
|balance      |                 |                 |                 |   0.004|
|-  Mean (SD) |  4.208 (2.146)  |  4.411 (2.088)  |  4.286 (2.126)  |        |
|-  Range     |  1.000 - 9.000  |  1.000 - 9.000  |  1.000 - 9.000  |        |
|freedom      |                 |                 |                 |   0.058|
|-  Mean (SD) |  4.572 (1.865)  |  4.455 (1.828)  |  4.527 (1.851)  |        |
|-  Range     |  1.000 - 9.000  |  1.000 - 9.000  |  1.000 - 9.000  |        |

Preprocess

Scale numeric variables to mean -0 and SD - 1

df_sem <- df_grp %>%
  mutate_if(is.numeric, scale, center = TRUE, scale = TRUE) %>%
  mutate_if(is.factor, as.numeric)

CFA

Test latent model

cfa_form0 <- "
  # latent
  physical =~ flex_mob + abds_ms + ext_ms
  pain =~ lbp + legp + duration
  psych =~ ipq + fabq + ases
  funx =~ fitness + endure + balance 
  
"


m0 <- cfa (cfa_form0, 
           data = df_sem,
           ordered = c("flex_mob", "duration"))

fitMeasures(m0, fit.measures = c("rmsea", "pvalue", "cfi", "tli", "srmr", "nnfi"))
 rmsea pvalue    cfi    tli   srmr   nnfi 
 0.035  0.000  0.969  0.958  0.036  0.958 

Plot

semPaths (m0, 
          what = "paths",
          whatLabels = "est",
          nCharNodes = 0,
          layout = "tree",
          label.cex = 1.5,
          sizeMan = 6,
          intercepts = FALSE)

SEM analysis

Form three datasets.

df_sem1 = cluster 1 df_sem2 = cluster 2 df_sem = whole group data

df_sem1 <- df_grp %>%
  filter (grp ==1) %>%
  select (-grp) %>%
  mutate_if(is.numeric, scale, center = TRUE, scale = TRUE) %>%
  mutate_if(is.factor, as.numeric)
  

df_sem2 <- df_grp %>%
  filter (grp ==2) %>%
  select (-grp) %>%
  mutate_if(is.numeric, scale, center = TRUE, scale = TRUE) %>%
  mutate_if(is.factor, as.numeric)

Bayesian networks

Creates 3 datasets for bayesian networks. Need to initialize latent variables and treat them as missing data for structural learning.

df.bn <- as.data.frame (df_sem) %>%
  select (-grp) %>%
  mutate_if(is.numeric, scale, center = TRUE, scale = TRUE) %>%
  mutate (pain = as.numeric (NA),
          psych = as.numeric(NA),
          funx = as.numeric (NA),
          phys = as.numeric(NA))%>%
  mutate_if (is.factor, as.numeric)%>%
  select (-c(strn, flexible, freedom, sex, odi))

df.bn1 <- as.data.frame (df_sem1) %>%
  mutate_if(is.numeric, scale, center = TRUE, scale = TRUE) %>%
  mutate (pain = as.numeric (NA),
          psych = as.numeric(NA),
          funx = as.numeric (NA),
          phys = as.numeric(NA))%>%
  mutate_if (is.factor, as.numeric)%>%
  select (-c(strn, flexible, freedom, sex, odi))

df.bn2 <- as.data.frame (df_sem2) %>%
  mutate_if(is.numeric, scale, center = TRUE, scale = TRUE) %>%
  mutate (pain = as.numeric (NA),
          psych = as.numeric(NA),
          funx = as.numeric (NA),
          phys = as.numeric(NA))%>%
  mutate_if (is.factor, as.numeric)%>%
  select (-c(strn, flexible, freedom, sex, odi))

Create blacklist and whitelist

Whitelist are from the latent to manifest variables Blacklist are that manifest variables can only point from their respective latent variables.

demo.var = grep("age|grp", colnames (df.bn1), value = TRUE)
pain.var = grep("duration|legp|lbp", colnames (df.bn1), value = TRUE)
psych.var = grep("ases|fabq|ipq", colnames (df.bn1), value = TRUE)
phys.var = grep("ext|abds|flex_", colnames (df.bn1), value = TRUE)
fx.var = grep("fitness|endure|balance", colnames (df.bn1), value = TRUE)
others.var = setdiff (names(df.bn1), c(demo.var, pain.var, psych.var, phys.var, fx.var))

pair_var <- expand.grid(from = names (df.bn1),
                        to = names (df.bn1)) %>%
  rownames_to_column()

tiers_keep <- pair_var %>%
  filter (!(grepl (paste0(c(pain.var, psych.var, phys.var, fx.var, demo.var), collapse = "|"),to))) %>%
  filter (!(grepl (paste0(c(pain.var, psych.var, phys.var, fx.var), collapse = "|"),from))) 

  
bl <- anti_join(pair_var, tiers_keep, by = "rowname")  %>%
  filter (from != to) %>%
  select (-rowname) %>%
  mutate_all(as.character) %>% 
  filter (from !="grp") %>% 
  filter (to !="grp") 

latent1 <- expand.grid(from = "pain",
                        to = pain.var)
latent2 <- expand.grid(from = "psych",
                        to = psych.var)
latent3 <- expand.grid(from = "phys",
                        to = phys.var)
latent4 <- expand.grid(from = "funx",
                        to = fx.var)
wl <- latent1 %>%
  bind_rows(latent2) %>%
  bind_rows(latent3)%>%
  bind_rows(latent4)%>%
  mutate_all (as.character)

Structural learning

####################### Full dataset ####################### ##################

start = bnlearn::bn.fit(bnlearn::empty.graph(names(df.bn)), df.bn)
start$pain = list(coef = 0, sd = 1)
start$phys = list(coef = 0, sd = 1)
start$psych = list(coef = 0, sd = 1)
start$funx = list(coef = 0, sd = 1)

m0 <- bnlearn::structural.em(df.bn, 
                       start = start,
                       maximize = "hc",
                       maximize.args = list(blacklist = bl,
                                            whitelist = wl))


####################### subgroup 1 ####################### ##################
start = bnlearn::bn.fit(bnlearn::empty.graph(names(df.bn1)), df.bn1)
start$pain = list(coef = 0, sd = 1)
start$phys = list(coef = 0, sd = 1)
start$psych = list(coef = 0, sd = 1)
start$funx = list(coef = 0, sd = 1)

m1 <- bnlearn::structural.em(df.bn1, 
                       start = start,
                       maximize = "hc",
                       maximize.args = list(blacklist = bl,
                                            whitelist = wl))



####################### subgroup 2 ####################### ##################
start = bnlearn::bn.fit(bnlearn::empty.graph(names(df.bn2)), df.bn2)
start$pain = list(coef = 0, sd = 1)
start$phys = list(coef = 0, sd = 1)
start$psych = list(coef = 0, sd = 1)
start$funx = list(coef = 0, sd = 1)

m2 <- bnlearn::structural.em(df.bn2, 
                       start = start,
                       maximize = "hc",
                       maximize.args = list(blacklist = bl,
                                            whitelist = wl))

## Plot

par (mfrow = c(2,2), mar = c(1, 1, 1, 1))
plot (m0)
plot (m1)
plot (m2)

BN to SEM

Whole cohort

sem_form0 <- "
  # latent
  physical =~ flex_mob + abds_ms + ext_ms
  pain =~ lbp + legp + duration
  psych =~ ipq + fabq + ases
  funx =~ fitness + endure + balance 
  
  funx ~ age + psych + pain
  physical ~ funx + pain
  pain ~ psych + age

"

m0 <- lavaan::sem (sem_form0,  data = df_sem, ordered = c("flex_mob", "duration"))
fitMeasures(m0, fit.measures = c("rmsea", "pvalue", "cfi", "tli", "srmr", "nnfi"))
 rmsea pvalue    cfi    tli   srmr   nnfi 
 0.045  0.000  0.937  0.930  0.035  0.930 

indicator_order <- c("flex_mob", "abds_ms", "ext_ms",
                     "lbp", "legp", "duration",
                     "ipq", "fabq", "ases",
                     "fitness", "endure", "balance",
                     "age")

indicator_factor <- c("physical", "physical", "physical",
                     "pain", "pain", "pain",
                     "psych", "psych", "psych",
                     "funx", "funx", "funx",
                     "age")

factor_layout <- matrix(c(NA,   NA,   "age", NA,  NA,
                          "funx", NA, NA, NA, "pain",
                          NA, NA, NA, NA, NA,
                          "physical", NA, NA, NA, "psych"), byrow = TRUE, 4, 5)

factor_point_to <- matrix(c(NA,   NA,   "up", NA,  NA,
                          "left", NA, NA, NA, "up",
                          NA, NA, NA, NA, NA,
                          "down", NA, NA, NA, "right"), byrow = TRUE, 4, 5)


indicator_push <- c(funx = 2,
                      physical = 2,
                      pain = 2,
                      psych = 2,
                    age = 0)

indicator_spread <- c(funx = 3,
                      physical = 3,
                      pain = 3,
                      psych = 3,
                      age = 0)
p2 <- set_sem_layout(p1, 
                     indicator_order = indicator_order,
                     indicator_factor = indicator_factor,
                     factor_layout = factor_layout,
                     factor_point_to = factor_point_to,
                     indicator_push = indicator_push,
                     indicator_spread = indicator_spread) %>%
  mark_sig(object = m0)
plot(p2)

Subgroup 1

sem_form1 <- "
  # latent
  physical =~ flex_mob + abds_ms + ext_ms
  pain =~ lbp + legp + duration
  psych =~ ipq + fabq + ases
  funx =~ fitness + endure + balance 
  
  physical ~ age + funx
  funx ~ age
  psych ~ funx + pain
  pain ~ physical
"

m1 <- lavaan::sem (sem_form1,  data = df_sem1, ordered = c("flex_mob", "duration"))
summary (m1)
lavaan 0.6-9 ended normally after 51 iterations

  Estimator                                       DWLS
  Optimization method                           NLMINB
  Number of model parameters                        40
                                                      
  Number of observations                          2377
                                                      
Model Test User Model:
                                              Standard      Robust
  Test Statistic                               458.622     598.732
  Degrees of freedom                                60          60
  P-value (Chi-square)                           0.000       0.000
  Scaling correction factor                                  0.775
  Shift parameter                                            7.316
       simple second-order correction                             

Parameter Estimates:

  Standard errors                           Robust.sem
  Information                                 Expected
  Information saturated (h1) model        Unstructured

Latent Variables:
                   Estimate  Std.Err  z-value  P(>|z|)
  physical =~                                         
    flex_mob          1.000                           
    abds_ms           1.252    0.141    8.873    0.000
    ext_ms            1.484    0.168    8.842    0.000
  pain =~                                             
    lbp               1.000                           
    legp              0.598    0.048   12.520    0.000
    duration          0.366    0.054    6.758    0.000
  psych =~                                            
    ipq               1.000                           
    fabq              0.472    0.034   14.083    0.000
    ases             -0.687    0.039  -17.633    0.000
  funx =~                                             
    fitness           1.000                           
    endure            1.259    0.074   16.979    0.000
    balance           0.776    0.056   13.814    0.000

Regressions:
                   Estimate  Std.Err  z-value  P(>|z|)
  physical ~                                          
    age              -0.028    0.013   -2.243    0.025
    funx              0.417    0.048    8.752    0.000
  funx ~                                              
    age               0.024    0.015    1.657    0.098
  psych ~                                             
    funx             -0.334    0.041   -8.174    0.000
    pain              0.659    0.052   12.749    0.000
  pain ~                                              
    physical         -0.690    0.082   -8.379    0.000

Intercepts:
                   Estimate  Std.Err  z-value  P(>|z|)
   .flex_mob          0.000                           
   .abds_ms           0.000    0.027    0.000    1.000
   .ext_ms           -0.000    0.024   -0.000    1.000
   .lbp              -0.000    0.022   -0.000    1.000
   .legp              0.000    0.023    0.000    1.000
   .duration          0.000                           
   .ipq              -0.000    0.021   -0.000    1.000
   .fabq             -0.000    0.021   -0.000    1.000
   .ases             -0.000    0.021   -0.000    1.000
   .fitness          -0.000    0.020   -0.000    1.000
   .endure           -0.000    0.021   -0.000    1.000
   .balance          -0.000    0.021   -0.000    1.000
   .physical          0.000                           
   .pain              0.000                           
   .psych             0.000                           
   .funx              0.000                           

Thresholds:
                   Estimate  Std.Err  z-value  P(>|z|)
    flex_mob|t1      -0.977    0.031  -31.440    0.000
    duration|t1      -0.973    0.031  -31.541    0.000

Variances:
                   Estimate  Std.Err  z-value  P(>|z|)
   .flex_mob          0.803                           
   .abds_ms           0.690    0.035   19.805    0.000
   .ext_ms            0.559    0.035   15.822    0.000
   .lbp               0.437    0.041   10.709    0.000
   .legp              0.798    0.035   22.566    0.000
   .duration          0.925                           
   .ipq               0.336    0.031   10.959    0.000
   .fabq              0.852    0.030   28.685    0.000
   .ases              0.672    0.026   25.707    0.000
   .fitness           0.625    0.026   23.932    0.000
   .endure            0.451    0.032   14.052    0.000
   .balance           0.775    0.028   27.387    0.000
   .physical          0.137    0.025    5.488    0.000
   .pain              0.469    0.047   10.031    0.000
   .psych             0.331    0.034    9.763    0.000
   .funx              0.346    0.031   11.316    0.000

Scales y*:
                   Estimate  Std.Err  z-value  P(>|z|)
    flex_mob          1.000                           
    duration          1.000                           
fitMeasures(m1, fit.measures = c("rmsea", "pvalue", "cfi", "tli", "srmr", "nnfi"))
 rmsea pvalue    cfi    tli   srmr   nnfi 
 0.053  0.000  0.914  0.906  0.046  0.906 

indicator_order <- c("flex_mob", "abds_ms", "ext_ms",
                     "lbp", "legp", "duration",
                     "ipq", "fabq", "ases",
                     "fitness", "endure", "balance",
                     "age")

indicator_factor <- c("physical", "physical", "physical",
                     "pain", "pain", "pain",
                     "psych", "psych", "psych",
                     "funx", "funx", "funx",
                     "age")

factor_layout <- matrix(c(NA,   NA,   "age", NA,  NA,
                          "funx", NA, NA, NA, "pain",
                          NA, NA, NA, NA, NA,
                          "physical", NA, NA, NA, "psych"), byrow = TRUE, 4, 5)

factor_point_to <- matrix(c(NA,   NA,   "up", NA,  NA,
                          "left", NA, NA, NA, "up",
                          NA, NA, NA, NA, NA,
                          "down", NA, NA, NA, "right"), byrow = TRUE, 4, 5)


indicator_push <- c(funx = 2,
                      physical = 2,
                      pain = 2,
                      psych = 2)

indicator_spread <- c(funx = 3,
                      physical = 3,
                      pain = 3,
                      psych = 3)
p2 <- set_sem_layout(p1, 
                     indicator_order = indicator_order,
                     indicator_factor = indicator_factor,
                     factor_layout = factor_layout,
                     factor_point_to = factor_point_to,
                     indicator_push = indicator_push,
                     indicator_spread = indicator_spread) %>%
  mark_sig(object = m1)
plot(p2)

Subgroup 2

sem_form2 <- "
  # latent
  physical =~ flex_mob + abds_ms + ext_ms
  pain =~ lbp + legp + duration
  psych =~ ipq + fabq + ases
  funx =~ fitness + endure + balance 
  
  physical ~ age +  funx + pain
  psych ~ funx
  pain ~ psych

"

m2 <- lavaan::sem (sem_form2,  data = df_sem2, ordered = c("flex_mob", "duration"))
summary (m2)
lavaan 0.6-9 ended normally after 51 iterations

  Estimator                                       DWLS
  Optimization method                           NLMINB
  Number of model parameters                        39
                                                      
  Number of observations                          1472
                                                      
Model Test User Model:
                                              Standard      Robust
  Test Statistic                               209.504     258.605
  Degrees of freedom                                61          61
  P-value (Chi-square)                           0.000       0.000
  Scaling correction factor                                  0.844
  Shift parameter                                           10.413
       simple second-order correction                             

Parameter Estimates:

  Standard errors                           Robust.sem
  Information                                 Expected
  Information saturated (h1) model        Unstructured

Latent Variables:
                   Estimate  Std.Err  z-value  P(>|z|)
  physical =~                                         
    flex_mob          1.000                           
    abds_ms           2.122    0.333    6.366    0.000
    ext_ms            2.505    0.402    6.227    0.000
  pain =~                                             
    lbp               1.000                           
    legp              0.770    0.078    9.859    0.000
    duration          0.580    0.087    6.652    0.000
  psych =~                                            
    ipq               1.000                           
    fabq              0.480    0.040   11.890    0.000
    ases             -0.665    0.045  -14.801    0.000
  funx =~                                             
    fitness           1.000                           
    endure            1.106    0.072   15.304    0.000
    balance           0.765    0.063   12.220    0.000

Regressions:
                   Estimate  Std.Err  z-value  P(>|z|)
  physical ~                                          
    age              -0.042    0.011   -3.810    0.000
    funx              0.229    0.039    5.896    0.000
    pain             -0.072    0.024   -3.035    0.002
  psych ~                                             
    funx             -0.484    0.051   -9.529    0.000
  pain ~                                              
    psych             0.532    0.040   13.334    0.000

Intercepts:
                   Estimate  Std.Err  z-value  P(>|z|)
   .flex_mob          0.000                           
   .abds_ms           0.000    0.029    0.000    1.000
   .ext_ms            0.000    0.027    0.000    1.000
   .lbp               0.000    0.026    0.000    1.000
   .legp             -0.000    0.030   -0.000    1.000
   .duration          0.000                           
   .ipq               0.000    0.026    0.000    1.000
   .fabq             -0.000    0.026   -0.000    1.000
   .ases              0.000    0.027    0.000    1.000
   .fitness          -0.000    0.026   -0.000    1.000
   .endure           -0.000    0.026   -0.000    1.000
   .balance           0.000    0.026    0.000    1.000
   .physical          0.000                           
   .pain              0.000                           
   .psych             0.000                           
    funx              0.000                           

Thresholds:
                   Estimate  Std.Err  z-value  P(>|z|)
    flex_mob|t1       0.135    0.033    4.119    0.000
    duration|t1      -0.918    0.038  -23.948    0.000

Variances:
                   Estimate  Std.Err  z-value  P(>|z|)
   .flex_mob          0.913                           
   .abds_ms           0.604    0.038   15.777    0.000
   .ext_ms            0.429    0.043   10.055    0.000
   .lbp               0.659    0.041   16.178    0.000
   .legp              0.797    0.044   18.275    0.000
   .duration          0.886                           
   .ipq               0.254    0.038    6.669    0.000
   .fabq              0.828    0.036   23.232    0.000
   .ases              0.666    0.034   19.321    0.000
   .fitness           0.563    0.034   16.405    0.000
   .endure            0.461    0.037   12.442    0.000
   .balance           0.732    0.034   21.244    0.000
   .physical          0.059    0.016    3.698    0.000
   .pain              0.131    0.033    3.996    0.000
   .psych             0.637    0.051   12.472    0.000
    funx              0.430    0.044    9.765    0.000

Scales y*:
                   Estimate  Std.Err  z-value  P(>|z|)
    flex_mob          1.000                           
    duration          1.000                           
fitMeasures(m2, fit.measures = c("rmsea", "pvalue", "cfi", "tli", "srmr", "nnfi"))
 rmsea pvalue    cfi    tli   srmr   nnfi 
 0.041  0.000  0.951  0.946  0.040  0.946 

indicator_order <- c("flex_mob", "abds_ms", "ext_ms",
                     "lbp", "legp", "duration",
                     "ipq", "fabq", "ases",
                     "fitness", "endure", "balance",
                     "age")

indicator_factor <- c("physical", "physical", "physical",
                     "pain", "pain", "pain",
                     "psych", "psych", "psych",
                     "funx", "funx", "funx",
                     "age")

factor_layout <- matrix(c(NA,   NA,   "age", NA,  NA,
                          "funx", NA, NA, NA, "pain",
                          NA, NA, NA, NA, NA,
                          "physical", NA, NA, NA, "psych"), byrow = TRUE, 4, 5)

factor_point_to <- matrix(c(NA,   NA,   "up", NA,  NA,
                          "left", NA, NA, NA, "up",
                          NA, NA, NA, NA, NA,
                          "down", NA, NA, NA, "right"), byrow = TRUE, 4, 5)


indicator_push <- c(funx = 2,
                      physical = 2,
                      pain = 2,
                      psych = 2)

indicator_spread <- c(funx = 3,
                      physical = 3,
                      pain = 3,
                      psych = 3)
p2 <- set_sem_layout(p1, 
                     indicator_order = indicator_order,
                     indicator_factor = indicator_factor,
                     factor_layout = factor_layout,
                     factor_point_to = factor_point_to,
                     indicator_push = indicator_push,
                     indicator_spread = indicator_spread)%>%
  mark_sig(object = m2)
plot(p2)

Save data

res <- list (m0 = m0,
             m1 = m1,
             m2 = m2,
             df = df,
             df_grp = df_grp,
             df_sem1 = df_sem1,
             df_sem2 = df_sem2,
             df.bn = df.bn,
             df.bn1 = df.bn1,
             df.bn2 = df.bn2,
             dd = dd,
             res.hc = res.hc)

saveRDS (res,
         "output/res.RDS")

sessionInfo()
R version 4.1.2 (2021-11-01)
Platform: x86_64-w64-mingw32/x64 (64-bit)
Running under: Windows 10 x64 (build 19042)

Matrix products: default

locale:
[1] LC_COLLATE=English_United Kingdom.1252 
[2] LC_CTYPE=English_United Kingdom.1252   
[3] LC_MONETARY=English_United Kingdom.1252
[4] LC_NUMERIC=C                           
[5] LC_TIME=English_United Kingdom.1252    

attached base packages:
[1] grid      stats     graphics  grDevices utils     datasets  methods  
[8] base     

other attached packages:
 [1] fastcluster_1.2.3   factoextra_1.0.7    cluster_2.1.2      
 [4] semptools_0.2.9.3   semPlot_1.1.2       lavaan_0.6-9       
 [7] Rgraphviz_2.38.0    graph_1.72.0        BiocGenerics_0.40.0
[10] bnlearn_4.7         gtsummary_1.5.2     kableExtra_1.3.4   
[13] rstatix_0.7.0       arsenal_3.6.3       officer_0.4.0      
[16] flextable_0.6.9     ggpubr_0.4.0        cowplot_1.1.1      
[19] skimr_2.1.3         forcats_0.5.1       stringr_1.4.0      
[22] dplyr_1.0.7         purrr_0.3.4         readr_2.0.2        
[25] tidyr_1.1.4         tibble_3.1.6        ggplot2_3.3.5      
[28] tidyverse_1.3.1     workflowr_1.6.2    

loaded via a namespace (and not attached):
  [1] readxl_1.3.1        uuid_1.0-2          backports_1.4.1    
  [4] Hmisc_4.6-0         systemfonts_1.0.3   igraph_1.2.7       
  [7] plyr_1.8.6          repr_1.1.3          splines_4.1.2      
 [10] digest_0.6.28       htmltools_0.5.2     fansi_0.5.0        
 [13] checkmate_2.0.0     magrittr_2.0.1      Rsolnp_1.16        
 [16] lisrelToR_0.1.4     tzdb_0.2.0          openxlsx_4.2.4     
 [19] modelr_0.1.8        RcppParallel_5.1.4  svglite_2.0.0      
 [22] jpeg_0.1-9          sem_3.1-13          colorspace_2.0-2   
 [25] ggrepel_0.9.1       rvest_1.0.2         haven_2.4.3        
 [28] xfun_0.27           crayon_1.4.2        jsonlite_1.7.2     
 [31] lme4_1.1-27.1       regsem_1.8.0        survival_3.2-13    
 [34] glue_1.6.1          gtable_0.3.0        webshot_0.5.2      
 [37] mi_1.0              car_3.0-12          abind_1.4-5        
 [40] scales_1.1.1        DBI_1.1.1           Rcpp_1.0.7         
 [43] htmlTable_2.3.0     viridisLite_0.4.0   xtable_1.8-4       
 [46] tmvnsim_1.0-2       foreign_0.8-81      Formula_1.2-4      
 [49] stats4_4.1.2        truncnorm_1.0-8     htmlwidgets_1.5.4  
 [52] httr_1.4.2          RColorBrewer_1.1-2  ellipsis_0.3.2     
 [55] pkgconfig_2.0.3     XML_3.99-0.8        nnet_7.3-16        
 [58] sass_0.4.0          kutils_1.70         dbplyr_2.1.1       
 [61] utf8_1.2.2          reshape2_1.4.4      tidyselect_1.1.1   
 [64] rlang_0.4.12        later_1.3.0         munsell_0.5.0      
 [67] cellranger_1.1.0    tools_4.1.2         cli_3.2.0          
 [70] generics_0.1.1      broom_0.7.12        fdrtool_1.2.16     
 [73] evaluate_0.14       fastmap_1.1.0       arm_1.12-2         
 [76] yaml_2.2.1          knitr_1.37          fs_1.5.0           
 [79] zip_2.2.0           glasso_1.11         pbapply_1.5-0      
 [82] nlme_3.1-153        whisker_0.4         xml2_1.3.2         
 [85] compiler_4.1.2      rstudioapi_0.13     png_0.1-7          
 [88] ggsignif_0.6.3      gt_0.3.1            reprex_2.0.1       
 [91] broom.helpers_1.6.0 bslib_0.3.1         pbivnorm_0.6.0     
 [94] stringi_1.7.5       highr_0.9           qgraph_1.9         
 [97] rockchalk_1.8.144   gdtools_0.2.3       lattice_0.20-45    
[100] Matrix_1.3-4        commonmark_1.7      psych_2.1.9        
[103] nloptr_1.2.2.2      vctrs_0.3.8         pillar_1.6.4       
[106] lifecycle_1.0.1     jquerylib_0.1.4     OpenMx_2.19.8      
[109] data.table_1.14.2   corpcor_1.6.10      httpuv_1.6.3       
[112] latticeExtra_0.6-29 R6_2.5.1            promises_1.2.0.1   
[115] gridExtra_2.3       gtools_3.9.2        boot_1.3-28        
[118] MASS_7.3-54         assertthat_0.2.1    rprojroot_2.0.2    
[121] withr_2.4.3         mnormt_2.0.2        parallel_4.1.2     
[124] hms_1.1.1           rpart_4.1-15        coda_0.19-4        
[127] minqa_1.2.4         rmarkdown_2.11      carData_3.0-4      
[130] git2r_0.28.0        lubridate_1.8.0     base64enc_0.1-3