Last updated: 2022-09-12

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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)
library (ggdendro)
# BN
library (bnlearn)
library (Rgraphviz)

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

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

Load data

This is an imputed dataset

df_base <- readRDS("output/df_base.RDS")

#df_base_imp <-mice (df_base$raw, m = 5, maxit = 30, method = "rf")

df <- mice::complete (df_base$imp) %>%
  select (-c(strn, flexible, freedom)) %>%
  mutate (sex = factor (sex, labels = c("0", "1"))) %>%
  mutate_at (vars(fitness:balance), as.numeric)

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

Preview data

tbl_summary(df) 
Characteristic N = 3,8491
flex_mob
1 1,780 (46%)
2 582 (15%)
3 624 (16%)
4 863 (22%)
abds_ms 45 (25, 76)
ext_ms 71 (35, 142)
sex
0 1,141 (30%)
1 2,708 (70%)
age 59 (50, 67)
lbp 6.00 (4.00, 7.00)
legp 3.00 (0.00, 6.00)
duration
0 670 (17%)
1 827 (21%)
2 2,352 (61%)
ipq 44 (36, 50)
fabq 9.0 (5.0, 13.0)
odi 24 (16, 33)
ases 6.80 (5.50, 8.20)
fitness
1 273 (7.1%)
2 467 (12%)
3 612 (16%)
4 538 (14%)
5 1,131 (29%)
6 384 (10.0%)
7 329 (8.5%)
8 86 (2.2%)
9 29 (0.8%)
endure
1 331 (8.6%)
2 524 (14%)
3 710 (18%)
4 547 (14%)
5 919 (24%)
6 373 (9.7%)
7 314 (8.2%)
8 81 (2.1%)
9 50 (1.3%)
balance
1 507 (13%)
2 425 (11%)
3 535 (14%)
4 450 (12%)
5 995 (26%)
6 378 (9.8%)
7 277 (7.2%)
8 140 (3.6%)
9 142 (3.7%)

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 endure balance
4 23 38 1 75 5 5 2 34.0 9 24.000000 5.680000 5 5 2
1 120 160 0 57 1 3 2 35.0 13 8.000000 6.760000 6 6 8
1 29 6 1 76 3 0 2 44.0 8 10.000000 6.400000 1 1 5
4 120 180 1 76 3 2 1 36.0 8 13.333333 4.600000 7 4 3
3 16 19 1 37 8 4 2 68.0 14 42.000000 4.780000 3 3 1
3 14 30 0 58 5 5 2 39.0 24 34.000000 6.400000 5 3 1
1 77 136 1 65 5 7 1 35.0 8 22.222221 7.300000 5 5 9
3 47 121 1 56 5 2 1 49.0 9 28.000000 4.060000 5 5 7
1 51 68 1 62 7 5 2 44.0 8 14.000000 7.840000 3 2 7
3 58 39 1 35 2 7 1 51.0 9 12.000000 5.680000 3 2 3
1 54 115 1 67 3 0 2 42.0 11 16.000000 7.300000 2 3 2
1 120 180 1 75 6 8 1 53.0 10 27.500000 6.800000 6 6 2
1 10 44 1 24 6 5 2 49.1 18 44.000000 6.580000 1 3 7
4 9 15 0 44 5 0 1 37.0 19 15.555555 10.000000 5 4 9
4 35 61 0 75 3 3 2 48.0 21 17.777779 3.700000 5 3 3
2 120 180 0 31 7 0 2 59.0 15 24.000000 6.400000 1 4 3
4 18 82 0 63 2 0 1 48.0 6 34.000000 7.480000 5 3 2
4 34 23 1 31 8 3 1 51.0 24 32.000000 3.520000 5 3 2
1 24 32 1 67 7 0 1 38.0 10 22.222221 8.200000 5 4 6
4 85 75 1 68 8 0 1 38.0 4 10.000000 8.200000 4 4 5
4 21 68 1 73 5 6 2 38.0 5 20.000000 6.220000 5 6 3
1 69 120 1 54 2 0 2 35.0 9 12.000000 8.020001 5 5 3
1 5 10 1 86 6 0 2 17.1 15 28.888889 9.100000 3 3 1
1 64 26 1 73 0 0 0 49.0 15 0.000000 6.400000 5 5 1
4 19 24 1 76 9 7 2 27.0 5 35.555557 7.120000 6 6 6
3 67 68 0 47 4 0 0 34.0 14 16.000000 5.500000 6 8 1
1 28 17 1 65 8 1 2 47.0 6 38.000000 7.300000 5 5 5
1 38 61 1 69 5 8 0 47.0 14 17.777779 8.020001 7 7 6
1 120 112 1 52 2 0 2 28.0 9 12.000000 7.300000 4 4 4
4 48 58 0 36 5 4 1 32.0 11 14.000000 8.920000 6 5 5
1 38 180 1 44 0 0 1 27.0 0 2.000000 9.100000 6 5 3
1 92 180 0 54 3 0 0 28.0 3 8.000000 9.280000 4 5 6
2 53 20 1 55 7 7 2 54.0 6 32.000000 6.760000 5 3 1
3 45 47 1 61 8 8 0 53.0 21 48.000000 5.000000 5 2 1
1 58 110 0 44 4 3 2 38.0 2 10.000000 6.400000 5 5 4
2 52 42 1 62 3 0 1 36.0 0 4.000000 8.920000 1 3 5
1 120 135 1 46 5 0 2 45.0 6 28.000000 5.680000 7 9 5
3 12 20 1 63 4 0 2 49.0 14 35.555557 3.520000 5 5 6
1 35 106 0 68 5 5 2 28.0 4 10.000000 8.200000 5 6 3
4 77 150 0 60 5 3 1 48.0 6 35.555557 7.480000 6 8 4
1 20 30 1 60 4 1 1 40.0 13 22.000000 8.200000 2 5 5
4 109 51 1 41 6 2 1 56.0 17 40.000000 6.200000 5 9 7
2 59 180 0 66 6 6 1 39.0 8 14.000000 5.600000 5 6 3
4 28 68 0 67 6 6 1 47.0 9 16.000000 5.500000 8 9 7
1 14 37 1 46 8 4 1 41.0 13 32.000000 7.200000 3 5 5
1 19 49 1 50 0 0 1 20.0 9 2.222222 9.100000 3 5 5
4 30 57 1 59 7 7 2 49.0 1 30.000000 5.500000 2 2 1
2 120 180 1 59 5 0 2 42.0 4 33.333332 8.740000 5 3 5
4 26 123 1 69 8 2 2 55.0 12 44.444443 3.700000 3 3 3
1 74 150 1 70 8 0 2 46.0 15 20.000000 6.040000 5 5 6
1 9 18 1 72 4 1 1 39.0 8 16.000000 7.660000 5 4 5
4 40 0 1 63 8 0 2 54.0 12 42.000000 7.660000 2 4 4
2 25 90 0 51 4 2 2 21.0 12 22.000000 6.400000 1 2 5
3 34 33 1 64 6 2 1 44.0 15 30.000000 8.020001 4 2 3
4 28 47 1 60 6 7 2 31.0 3 24.000000 8.020001 4 4 6
3 94 180 0 57 7 2 2 52.0 11 12.000000 2.980000 7 7 6
4 24 57 1 57 7 4 1 44.0 17 32.000000 4.780000 4 1 7
2 83 120 0 40 5 2 2 52.0 20 32.000000 6.220000 6 2 5
4 7 21 1 58 8 6 2 59.0 0 56.000000 3.600000 3 3 1
2 54 75 1 58 3 6 2 33.0 16 15.555555 6.580000 5 4 4
3 0 0 1 60 10 10 2 52.0 7 64.000000 3.400000 5 1 1
3 27 52 1 38 6 2 2 27.0 14 20.000000 5.680000 5 5 2
4 47 29 1 50 5 5 2 45.0 8 14.000000 6.040000 6 3 1
2 81 60 0 48 4 4 0 35.0 9 18.000000 7.600000 5 6 3
1 36 11 0 42 8 0 2 36.0 1 26.000000 9.100000 7 9 5
4 120 180 0 72 7 6 2 67.0 13 24.444445 6.220000 7 6 4
3 120 19 0 56 4 1 2 49.0 8 22.000000 8.740000 7 7 3
4 84 54 1 71 8 2 2 54.9 4 40.000000 4.240000 3 6 6
2 68 108 1 32 5 3 2 48.0 15 26.000000 6.580000 7 6 6
3 61 23 1 70 4 1 2 48.0 7 38.000000 7.300000 2 3 4
3 11 60 1 54 4 0 2 38.0 12 36.000000 7.120000 2 2 1
1 32 180 0 44 3 0 2 37.0 5 18.000000 8.000000 6 6 5
1 0 13 1 72 7 4 2 49.0 10 26.000000 7.660000 1 1 5
2 120 60 0 70 7 5 2 48.0 16 14.000000 5.000000 8 8 5
1 12 54 1 69 3 3 2 34.0 16 24.000000 5.320000 5 4 6
1 49 180 1 75 4 5 2 51.0 12 40.000000 6.040000 5 7 6
1 51 44 1 67 6 6 1 30.0 10 8.000000 6.400000 5 5 4
1 68 180 1 64 5 0 2 39.0 4 13.333333 7.120000 7 3 6
4 61 88 1 56 6 0 2 55.0 15 28.000000 6.400000 5 5 4
1 29 33 1 61 9 8 2 46.0 8 52.000000 4.800000 3 5 1
4 14 14 0 80 8 0 2 53.0 12 28.000000 3.160000 5 5 3
4 48 75 1 44 8 1 1 44.0 5 26.000000 6.400000 1 3 5
1 18 25 1 44 6 0 2 48.0 9 28.000000 3.520000 2 1 5
3 15 14 1 63 5 4 2 56.0 20 44.000000 2.800000 5 2 5
1 72 99 1 59 1 3 0 24.0 14 14.000000 6.000000 7 6 5
4 28 49 1 53 9 8 2 52.0 13 26.000000 10.000000 5 4 4
1 77 180 1 58 3 0 0 31.0 11 12.000000 7.300000 6 4 7
4 37 81 1 66 8 0 2 44.0 15 16.000000 6.600000 7 6 6
1 40 57 0 79 7 5 2 54.0 12 42.222221 3.520000 5 2 5
4 21 39 0 53 6 2 2 45.0 6 22.000000 6.580000 5 2 5
1 19 15 0 81 4 4 2 38.0 8 24.000000 4.000000 4 6 7
2 120 122 1 63 9 3 0 47.0 7 35.000000 7.120000 4 4 5
1 120 180 1 66 3 5 2 46.0 6 17.777779 7.600000 5 4 6
1 24 22 1 49 6 6 2 53.0 11 28.000000 5.500000 2 2 5
4 22 104 1 43 8 8 1 32.0 4 34.000000 6.940000 3 5 5
1 90 120 0 44 7 8 1 39.0 7 40.000000 4.960000 5 5 3
4 27 67 0 67 8 8 0 38.0 11 26.000000 9.600000 7 6 5
1 120 180 1 59 4 4 2 50.0 0 8.000000 2.260000 7 8 7
2 56 180 0 47 0 0 0 39.0 7 2.000000 9.640000 1 8 6
2 120 120 0 25 4 3 2 35.0 6 26.000000 8.600000 4 6 6
4 43 58 1 55 9 0 2 43.0 10 30.000000 4.600000 2 5 5
1 15 10 0 79 7 9 1 79.0 12 52.500000 1.000000 3 1 1
4 120 180 1 50 7 0 0 39.0 8 16.000000 6.940000 8 9 9
3 32 180 1 49 5 1 2 25.0 10 22.000000 7.300000 4 3 5
2 53 18 1 43 5 1 2 33.0 8 16.000000 6.040000 2 2 2
4 53 127 1 52 6 8 2 43.0 7 18.000000 7.400000 2 4 8
1 12 38 0 57 6 5 0 39.0 7 12.000000 9.100000 2 5 5
1 53 27 1 47 8 4 2 56.0 15 36.000000 3.800000 3 3 1
2 15 20 0 56 10 0 2 43.0 6 14.000000 10.000000 2 4 7
1 67 120 1 68 3 7 2 35.0 10 37.777779 7.000000 5 5 5
4 16 27 1 44 8 8 1 70.0 22 38.000000 2.800000 1 3 6
3 120 128 0 77 5 0 0 38.0 9 22.222221 4.400000 7 7 5
2 120 45 0 70 5 3 2 49.0 15 26.000000 6.800000 7 8 6
3 0 36 1 40 7 3 2 57.0 13 32.000000 8.380000 4 4 2
1 7 41 1 70 8 1 2 55.0 8 35.555557 6.580000 2 2 1
1 39 38 1 62 8 6 2 36.0 4 16.000000 7.660000 5 5 5
3 31 42 1 71 4 0 1 47.0 9 26.000000 7.200000 8 4 9
2 120 120 0 76 4 4 2 52.0 8 26.000000 6.760000 2 2 1
1 120 180 1 50 6 1 2 51.0 0 32.000000 6.580000 5 1 6
4 7 17 1 61 8 6 2 42.0 2 54.000000 7.300000 4 1 1
2 82 180 0 56 7 0 2 46.0 24 38.000000 5.500000 4 2 6
4 32 18 1 75 10 1 2 49.0 17 26.666666 8.200000 8 5 6
2 18 33 1 66 6 3 2 36.0 7 26.000000 6.400000 3 1 2
1 70 75 1 67 3 0 2 11.0 7 4.000000 10.000000 7 7 2
3 23 21 0 39 8 6 1 52.0 2 30.000000 7.400000 3 3 5
2 15 45 0 54 7 6 0 56.0 7 36.000000 4.780000 3 4 4
3 63 180 0 42 3 6 1 54.0 10 30.000000 6.600000 3 3 6
3 76 5 1 47 3 0 1 26.0 15 16.000000 8.200000 5 4 5
4 60 90 1 59 4 2 0 39.0 2 4.000000 8.920000 2 5 5
3 70 131 0 57 7 3 2 45.0 15 18.000000 5.600000 5 4 5
1 108 135 1 66 2 0 1 40.0 12 14.000000 7.300000 5 5 5
1 48 21 1 64 6 7 0 43.0 12 26.000000 8.200000 5 7 5
1 23 74 1 53 7 4 2 44.0 3 22.000000 10.000000 6 4 5
1 55 80 1 39 7 3 2 41.0 6 34.000000 6.040000 5 1 4
1 26 34 1 66 7 3 1 42.0 4 28.000000 5.800000 5 5 2
1 30 30 0 72 5 0 2 33.0 3 20.000000 6.040000 1 5 1
4 18 21 1 75 6 3 1 33.0 11 24.000000 6.220000 7 7 1
3 31 3 1 23 3 2 0 45.0 12 14.000000 8.200000 3 4 6
1 41 28 1 76 5 5 2 51.0 8 40.000000 6.580000 2 3 5
1 73 180 0 44 4 3 2 59.0 8 24.000000 6.800000 5 5 2
1 10 30 1 47 3 0 0 33.0 9 34.000000 8.200000 2 3 6
1 48 149 1 79 5 0 2 55.0 10 32.000000 5.500000 5 1 1
1 29 142 1 54 6 3 0 43.0 8 34.000000 5.140000 5 3 5
1 61 180 0 72 4 2 2 30.0 13 16.000000 8.920000 5 4 1
1 84 120 1 59 5 2 2 36.0 4 22.000000 8.600000 6 7 8
1 33 50 0 73 7 3 2 38.0 14 12.000000 6.040000 7 7 6
4 120 180 1 45 8 6 2 52.0 5 36.000000 3.160000 6 4 3
4 21 180 1 58 5 5 2 55.0 9 22.000000 4.780000 6 3 3
1 45 95 1 52 6 3 2 42.0 0 30.000000 4.600000 5 4 1
1 120 124 1 47 6 6 0 39.0 4 34.000000 5.140000 5 4 4
4 40 45 1 57 4 2 2 31.0 5 12.000000 8.200000 6 5 8
3 9 20 1 60 6 4 2 49.0 10 48.000000 5.860000 9 3 1
3 55 100 0 53 2 0 0 33.0 12 10.000000 5.500000 5 5 5
1 24 104 1 42 7 0 2 36.0 6 32.000000 9.000000 6 3 5
4 26 46 1 55 3 5 1 28.0 5 16.000000 7.660000 1 5 4
4 29 40 1 63 6 6 2 39.0 14 36.000000 5.140000 2 7 7
4 39 103 1 44 4 0 1 40.0 10 37.777779 6.400000 2 5 6
3 16 23 1 81 9 0 2 51.0 17 42.222221 3.700000 3 2 2
2 74 180 0 68 6 2 1 43.0 1 12.000000 6.220000 3 2 9
1 93 111 0 60 4 2 0 54.0 5 28.000000 9.280000 6 5 4
1 60 60 1 65 3 0 2 47.0 12 8.000000 8.200000 5 5 9
3 25 90 1 59 6 7 2 61.0 0 36.000000 5.320000 4 2 5
3 57 66 0 53 8 1 2 47.0 12 10.000000 7.400000 5 7 3
1 37 44 0 73 7 8 2 55.0 14 36.000000 4.780000 5 3 1
1 120 135 0 61 5 0 1 32.0 6 10.000000 10.000000 3 3 5
2 10 30 1 61 6 7 2 55.0 12 33.333332 7.840000 2 2 1
4 33 85 1 64 8 0 2 53.0 15 17.777779 7.000000 4 3 4
4 22 15 1 65 6 6 2 43.0 13 48.888889 3.880000 3 3 2
4 34 61 1 75 7 2 2 41.0 14 22.222221 8.200000 4 4 4
1 47 180 1 53 2 2 2 39.0 0 16.000000 8.400000 2 1 8
1 36 180 1 53 5 9 2 42.0 16 20.000000 7.000000 7 5 8
2 75 77 1 52 6 0 2 39.0 14 20.000000 8.020001 4 3 7
1 42 100 1 59 3 0 0 31.0 1 18.000000 8.020001 5 4 9
1 49 103 1 72 3 7 1 40.0 5 14.000000 5.680000 5 5 2
1 120 180 1 42 3 0 2 37.0 2 10.000000 8.800000 4 3 6
3 40 180 1 45 8 0 0 46.0 5 22.000000 8.560000 5 3 5
1 0 40 1 79 0 4 1 41.0 12 33.333332 4.060000 5 2 1
1 88 72 1 71 5 2 2 42.0 13 32.000000 6.580000 5 3 7
1 120 180 1 41 7 0 2 42.0 7 20.000000 6.760000 2 3 5
3 110 92 0 45 4 1 2 37.0 4 8.000000 9.000000 7 5 8
1 65 65 1 81 5 1 2 55.0 10 35.000000 6.200000 5 2 9
1 46 138 1 28 7 1 0 40.0 9 16.000000 8.600000 2 4 5
1 15 170 1 50 7 7 1 49.0 0 20.000000 7.000000 3 3 5
2 23 33 1 42 3 4 2 21.0 11 32.000000 9.000000 7 6 5
4 58 180 1 64 7 0 2 44.6 13 35.000000 4.780000 5 4 6
1 79 180 1 53 2 0 1 15.0 8 20.000000 4.800000 1 1 2
3 56 57 0 58 6 0 1 48.0 11 16.000000 8.560000 7 7 9
3 9 7 1 54 10 8 1 58.0 16 52.000000 4.420000 3 1 2
4 120 100 1 58 7 5 2 45.0 11 30.000000 5.680000 4 7 3
1 67 180 1 32 6 3 0 26.0 3 20.000000 9.280000 3 7 3
1 70 180 0 41 8 0 0 43.0 10 4.000000 9.640000 5 6 8
3 18 8 1 56 7 7 2 47.0 7 33.333332 6.580000 1 1 4
3 108 115 0 75 5 5 2 55.0 14 44.000000 4.600000 3 5 5
3 22 23 1 48 7 7 1 53.0 7 22.000000 7.480000 1 3 1
3 68 180 0 62 4 0 2 32.0 8 8.000000 7.400000 5 5 6
1 120 180 0 40 4 0 2 55.0 16 15.555555 6.400000 7 8 8
1 18 52 1 47 4 4 2 50.0 8 40.000000 7.660000 2 1 1
3 56 180 0 47 4 3 2 45.0 8 20.000000 6.800000 5 4 5
1 89 125 1 74 0 0 0 15.0 12 2.222222 9.100000 7 7 1
1 17 83 1 72 5 0 0 29.0 13 28.000000 5.000000 4 3 2
1 26 15 1 52 4 6 2 48.0 9 34.000000 8.020001 7 5 2
4 41 143 1 48 4 1 2 53.0 7 16.000000 6.220000 2 3 6
1 43 180 1 59 6 6 2 39.0 0 18.000000 6.220000 2 4 3
1 44 22 1 66 6 0 1 28.0 3 38.000000 5.860000 3 3 7
1 66 94 1 24 5 0 2 31.0 0 10.000000 8.560000 5 5 3
1 46 180 0 67 8 2 2 42.0 6 6.000000 8.920000 5 6 6
1 8 12 1 40 7 6 2 66.0 9 42.222221 3.000000 5 2 1
2 12 17 0 52 8 4 1 54.0 13 38.000000 6.000000 2 2 3
2 65 180 0 68 5 0 2 30.0 24 24.444445 5.500000 7 7 3
4 120 180 0 71 6 6 2 34.3 1 10.000000 6.940000 7 9 9
4 36 50 1 51 5 1 1 30.0 6 14.000000 6.220000 5 3 5
2 120 180 1 57 6 6 2 45.0 11 26.000000 2.200000 1 5 4
1 8 10 1 73 6 4 2 21.0 5 11.111111 7.840000 5 5 1
4 90 105 1 59 8 7 1 53.0 11 36.000000 7.600000 6 5 3
2 52 180 1 61 8 0 0 52.0 14 28.888889 9.000000 4 3 5
3 40 55 0 59 8 7 2 64.0 16 51.111111 2.980000 6 6 4
3 33 0 1 46 9 6 1 44.0 12 28.888889 7.600000 7 5 8
1 97 143 0 60 3 0 0 48.0 13 16.000000 7.840000 7 5 3
2 120 0 0 65 2 2 1 36.0 10 24.000000 6.200000 5 3 5
3 20 12 0 61 7 7 2 39.0 10 44.000000 5.600000 3 3 6
4 60 40 0 45 5 7 2 60.0 14 32.000000 4.200000 5 2 3
4 8 30 0 69 8 7 2 51.0 12 24.000000 8.200000 5 5 6
1 10 17 1 62 6 6 2 46.0 16 50.000000 3.600000 7 4 1
4 56 7 1 69 8 3 2 63.0 6 35.555557 7.480000 5 1 1
1 120 180 1 60 6 6 2 52.0 9 30.000000 8.560000 4 4 5
4 120 145 0 41 2 0 0 43.0 17 10.000000 8.400000 8 8 5
4 45 3 0 75 1 2 1 47.0 17 22.000000 5.200000 1 4 2
1 80 40 1 68 2 0 2 31.0 9 18.000000 10.000000 5 4 1
1 30 55 0 65 6 5 0 37.0 9 20.000000 8.920000 3 5 5
1 92 22 1 81 5 1 2 52.0 6 33.333332 6.220000 5 5 5
1 31 44 0 62 9 7 2 61.0 14 58.000000 3.340000 1 1 1
1 59 48 1 67 7 4 2 49.0 6 32.000000 5.680000 2 4 4
1 54 64 1 53 5 5 2 50.0 15 26.000000 8.560000 4 2 4
1 75 180 1 53 0 0 2 22.0 0 10.000000 8.200000 6 6 8
4 74 163 0 67 1 0 2 17.0 3 2.222222 8.740000 5 5 6
2 97 94 1 47 4 9 1 54.0 5 18.000000 6.200000 4 5 5
4 20 22 1 72 6 7 2 46.0 8 28.000000 6.940000 3 3 5
4 58 180 0 57 3 7 2 48.0 11 40.000000 4.780000 5 4 3
4 17 5 1 26 9 2 1 64.0 7 38.000000 2.620000 3 7 2
4 33 21 1 69 7 0 2 48.0 7 17.777779 8.020001 4 4 5
2 34 150 0 73 5 3 2 61.0 15 36.000000 5.500000 5 5 5
4 60 25 1 68 7 5 2 38.0 6 24.444445 7.975000 4 4 4
1 61 97 0 75 5 6 2 53.0 2 36.000000 4.420000 5 5 8
1 62 74 1 52 8 3 0 41.0 8 20.000000 6.940000 5 6 5
2 90 85 1 68 7 2 1 46.0 8 17.777779 8.200000 1 5 4
3 61 180 0 54 2 0 0 28.0 3 4.000000 9.280000 7 8 8
1 64 41 0 72 0 0 1 13.0 0 2.000000 7.840000 4 3 4
1 75 21 1 69 4 1 2 54.0 3 16.000000 6.040000 5 4 5
4 31 36 1 55 6 3 2 45.0 18 24.000000 5.680000 6 3 2
2 4 70 0 75 2 0 2 33.0 8 6.666666 8.020001 6 6 5
2 80 88 1 58 2 3 1 24.0 13 6.000000 8.200000 5 6 6
4 108 65 1 75 10 0 0 60.6 15 20.000000 2.800000 6 6 2
4 60 130 1 53 4 4 1 37.0 3 18.000000 9.100000 2 5 1
1 54 151 1 62 4 4 1 34.0 6 6.000000 7.300000 6 6 6
1 28 180 0 68 5 0 0 42.0 3 6.000000 8.920000 2 3 8
1 45 56 1 64 6 6 1 35.4 6 33.333332 6.940000 5 5 5
2 46 45 1 55 3 5 1 39.0 15 11.111111 7.840000 2 2 1
1 57 55 1 67 2 1 1 32.0 0 8.000000 6.200000 7 5 6
1 47 180 1 46 6 4 2 44.0 7 22.222221 8.200000 6 4 5
4 24 78 1 70 8 8 1 48.0 19 26.000000 6.600000 3 3 5
3 25 65 1 24 5 1 1 51.0 12 36.000000 6.220000 2 1 4
4 57 167 1 69 4 2 1 45.0 13 30.000000 7.800000 2 2 8
2 38 63 0 72 8 0 2 37.0 10 16.000000 8.000000 7 7 5
1 120 45 1 68 4 2 2 19.0 6 20.000000 6.940000 5 6 1
2 51 160 1 69 7 0 2 53.0 0 20.000000 5.320000 5 5 5
1 25 120 0 72 7 8 2 40.0 4 20.000000 9.100000 7 4 3
4 80 70 1 75 8 5 2 48.0 6 24.444445 6.760000 4 4 4
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3 42 41 1 51 4 2 1 32.0 9 22.500000 7.200000 4 3 5
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1 50 120 1 42 2 0 1 32.0 0 4.000000 8.560000 3 3 6
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1 120 180 0 75 7 7 2 45.0 18 38.000000 5.680000 5 2 1
1 120 180 1 79 8 5 1 46.0 0 31.111111 5.140000 4 4 2
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1 21 36 1 56 6 3 2 43.0 14 40.000000 5.140000 2 2 3
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4 64 180 0 66 7 5 2 55.0 15 28.000000 9.820000 7 5 8
1 57 28 1 38 6 0 2 44.0 3 12.000000 8.400000 3 5 1
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1 75 86 1 59 5 0 0 45.0 6 28.000000 6.940000 5 3 5
2 87 58 0 55 4 1 2 36.0 9 16.000000 8.600000 5 3 4
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1 44 52 1 65 7 4 2 59.0 12 35.555557 4.420000 2 3 2
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1 37 63 1 69 5 3 2 26.0 0 16.000000 9.600000 7 7 6
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4 80 88 0 67 1 3 2 35.0 8 13.333333 7.800000 5 7 6
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1 35 180 1 52 2 0 1 23.0 1 6.000000 10.000000 3 7 7
3 63 90 1 50 5 7 0 27.0 12 34.000000 9.100000 3 3 6
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4 74 86 1 61 4 2 1 52.6 8 48.000000 7.800000 2 1 1
4 90 130 0 58 2 10 0 63.0 10 28.888889 5.800000 4 5 4
4 66 81 1 75 7 8 1 58.3 2 20.000000 3.880000 7 7 9
1 60 43 1 72 1 0 0 25.0 14 0.000000 8.380000 3 2 5
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2 90 53 0 67 2 3 2 41.0 4 14.000000 7.400000 4 3 1
1 120 44 0 32 8 7 0 51.0 8 48.000000 5.680000 5 6 2
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4 120 180 0 65 5 0 0 39.0 5 18.000000 7.480000 6 6 7
1 57 68 1 48 2 2 0 44.0 8 24.444445 10.000000 1 1 2
3 33 61 1 46 10 8 1 52.0 4 46.000000 6.220000 9 9 6
1 46 107 1 73 6 6 2 49.0 16 35.555557 4.800000 4 4 2
3 59 19 0 60 8 0 1 50.0 16 26.000000 5.500000 5 3 5
4 16 27 1 63 5 1 2 43.4 8 22.000000 4.780000 5 4 7
4 105 30 1 56 7 9 2 49.0 3 34.000000 9.200000 3 4 1
2 35 180 1 58 7 8 2 72.0 7 34.000000 6.220000 5 6 9
1 86 180 1 77 5 0 2 51.0 12 16.000000 8.740000 5 5 5
3 108 0 0 83 7 2 2 45.0 11 35.555557 8.800000 4 4 5
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2 65 180 0 50 1 5 2 29.0 5 12.000000 6.400000 5 5 4
2 5 133 1 68 5 3 2 34.0 8 22.000000 8.200000 5 6 6
1 24 54 1 45 5 0 1 41.0 3 15.000000 8.740000 4 6 5
1 59 48 1 53 4 0 2 44.0 11 16.000000 5.600000 5 4 5
3 20 33 1 31 10 0 1 30.0 24 26.000000 9.280000 5 5 1
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1 80 104 0 52 8 2 0 59.0 7 50.000000 4.960000 9 3 4
4 19 24 0 67 8 7 2 48.0 8 26.000000 7.660000 5 7 4
3 20 41 1 76 2 4 2 38.0 8 36.000000 8.380000 2 4 5
4 7 15 1 54 4 4 1 46.0 9 24.444445 5.860000 3 4 2
3 48 65 1 64 9 8 2 51.0 13 46.000000 7.000000 5 2 5
2 15 9 0 72 2 3 1 44.0 7 10.000000 8.020001 3 3 5

Cluster analysis

Performs cluster analysis using Gower’s distance and complete linkage.

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

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

Validate

plot (res.hc)

dd_mat <- as.matrix(dd)
intern <- clValid(dd_mat, 2:6, clMethods=c("hierarchical"), method = "complete",
                   validation="internal")

Plot

dend <- res.hc %>%
  as.dendrogram %>%
  set("branches_k_color", k = 2) %>% set("branches_lwd", 0.7) %>%
  set("labels_cex", 12) %>% set("labels_colors", k = 2) %>%
  set("leaves_pch", 19) %>% set("leaves_cex", 0.5) 
ggd1 <- as.ggdend(dend)
f <- ggplot(ggd1, horiz = FALSE, labels = FALSE) + 
  ylab ("Gower's distance")


tiff ("manuscript/fig2.tiff", height = 8, width = 12, units = "in", res = 100)
ggdendro::ggdendrogram(res.hc, 
                       labels = FALSE, 
                       leaf_labels = FALSE) + 
  theme_cowplot() + 
  xlab ("Observation number") + 
  ylab ("Gower's distance")
dev.off ()

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)) 

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


|             |   1 (N=2358)    |    2 (N=1491)    | Total (N=3849)  | p value|
|:------------|:---------------:|:----------------:|:---------------:|-------:|
|flex_mob     |                 |                  |                 | < 0.001|
|-  1         |   762 (32.3%)   |   1018 (68.3%)   |  1780 (46.2%)   |        |
|-  2         |   409 (17.3%)   |   173 (11.6%)    |   582 (15.1%)   |        |
|-  3         |   556 (23.6%)   |    68 (4.6%)     |   624 (16.2%)   |        |
|-  4         |   631 (26.8%)   |   232 (15.6%)    |   863 (22.4%)   |        |
|abds_ms      |                 |                  |                 | < 0.001|
|-  Mean (SD) | 45.043 (33.095) | 67.769 (36.335)  | 53.847 (36.121) |        |
|-  Range     | 0.000 - 120.000 | 0.000 - 120.000  | 0.000 - 120.000 |        |
|ext_ms       |                 |                  |                 | < 0.001|
|-  Mean (SD) | 71.131 (55.794) | 113.867 (58.337) | 87.686 (60.482) |        |
|-  Range     | 0.000 - 180.000 | 0.000 - 180.000  | 0.000 - 180.000 |        |
|sex          |                 |                  |                 | < 0.001|
|-  0         |   560 (23.7%)   |   581 (39.0%)    |  1141 (29.6%)   |        |
|-  1         |  1798 (76.3%)   |   910 (61.0%)    |  2708 (70.4%)   |        |
|age          |                 |                  |                 |   0.003|
|-  Mean (SD) | 58.294 (12.823) | 57.058 (12.580)  | 57.815 (12.742) |        |
|-  Range     | 16.000 - 90.000 | 17.000 - 87.000  | 16.000 - 90.000 |        |
|lbp          |                 |                  |                 | < 0.001|
|-  Mean (SD) |  5.998 (2.060)  |  4.467 (2.236)   |  5.405 (2.256)  |        |
|-  Range     | 0.000 - 10.000  |  0.000 - 10.000  | 0.000 - 10.000  |        |
|legp         |                 |                  |                 | < 0.001|
|-  Mean (SD) |  3.865 (2.856)  |  2.284 (2.494)   |  3.253 (2.828)  |        |
|-  Range     | 0.000 - 10.000  |  0.000 - 10.000  | 0.000 - 10.000  |        |
|duration     |                 |                  |                 | < 0.001|
|-  0         |   270 (11.5%)   |   400 (26.8%)    |   670 (17.4%)   |        |
|-  1         |   346 (14.7%)   |   481 (32.3%)    |   827 (21.5%)   |        |
|-  2         |  1742 (73.9%)   |   610 (40.9%)    |  2352 (61.1%)   |        |
|ipq          |                 |                  |                 | < 0.001|
|-  Mean (SD) | 46.293 (9.775)  | 37.350 (11.234)  | 42.829 (11.242) |        |
|-  Range     | 9.000 - 79.000  |  1.000 - 72.000  | 1.000 - 79.000  |        |
|fabq         |                 |                  |                 | < 0.001|
|-  Mean (SD) | 10.196 (5.506)  |  7.867 (5.206)   |  9.294 (5.509)  |        |
|-  Range     | 0.000 - 24.000  |  0.000 - 24.000  | 0.000 - 24.000  |        |
|odi          |                 |                  |                 | < 0.001|
|-  Mean (SD) | 29.551 (12.255) |  18.753 (9.959)  | 25.368 (12.573) |        |
|-  Range     | 0.000 - 74.000  |  0.000 - 58.000  | 0.000 - 74.000  |        |
|ases         |                 |                  |                 | < 0.001|
|-  Mean (SD) |  6.180 (1.821)  |  7.466 (1.697)   |  6.678 (1.881)  |        |
|-  Range     | 1.000 - 10.000  |  1.000 - 10.000  | 1.000 - 10.000  |        |
|fitness      |                 |                  |                 | < 0.001|
|-  Mean (SD) |  3.889 (1.764)  |  4.852 (1.682)   |  4.262 (1.795)  |        |
|-  Range     |  1.000 - 9.000  |  1.000 - 9.000   |  1.000 - 9.000  |        |
|endure       |                 |                  |                 | < 0.001|
|-  Mean (SD) |  3.611 (1.777)  |  4.903 (1.748)   |  4.112 (1.874)  |        |
|-  Range     |  1.000 - 9.000  |  1.000 - 9.000   |  1.000 - 9.000  |        |
|balance      |                 |                  |                 | < 0.001|
|-  Mean (SD) |  3.726 (2.081)  |  5.068 (1.922)   |  4.246 (2.124)  |        |
|-  Range     |  1.000 - 9.000  |  1.000 - 9.000   |  1.000 - 9.000  |        |

Descriptives

meanNsd_transform <- function (x) {
  m <- round (as.numeric (x[[1]][1], 2))
  s <- round (as.numeric (x[[1]][2], 2))
  m_s <- paste0(m, "(", s, ")")
  return (m_s)
}

p_round <- function (x) {
  m <- round (as.numeric (x[[1]][1], 3))
  if (m < 0.001) m = "<0.001"
  return (m)
}
tab1 <- tableby (grp ~ ., data=df_grp, digits = 2, digits.p = 2) %>%
  as.data.frame() %>%
  filter (!term %in% c("Nmiss", "range")) %>%
  select (-c(group.term:term, variable.type)) 
tab2 <-  tab1[-c (6, 8, 13, 15, 17, 23, 25, 27, 29, 31, 33, 35),]

tab2 <- tab2%>% mutate_all(na_if,"")
tab2$label <- tab1$label[!grepl ("Mean", tab1$label)]
tab2[,tab2[,2]==""] <- NA
tab2[,tab2[,3]==""] <- NA
tab2[,tab2[,5]==""] <- NA
for(row in 1:nrow(tab2)) {
    tab2[row, 2] <- meanNsd_transform (tab2[row, 2])
    tab2[row, 3] <- meanNsd_transform (tab2[row, 3])
    tab2[row, 4] <- meanNsd_transform (tab2[row, 4])
    tab2[row, 6] <- p_round (tab2[row, 6])
  }
colnames (tab2) <- c ("Variables", 
                      "Group 1",
                      "Group 2",
                      "Total",
                      "Statistic",
                      "P value")

tab2$`Group 1` <- unlist(tab2$`Group 1`)
tab2$`Group 2` <- unlist(tab2$`Group 2`)
tab2$`Total` <- unlist(tab2$`Total`)
# my_path <- paste0("manuscript/table_1",
#                   ".docx")
# 
# ft <- flextable(tab2) %>%
#   set_caption(caption = " Table 1.Baseline descriptive characteristics of cohort") %>%
#   autofit()
# 
# my_doc <- read_docx()  %>%
#   body_add_flextable(ft)
# 
# print (my_doc, target = my_path)
tab2 %>%
  kbl() %>%
  kable_styling()
Variables Group 1 Group 2 Total Statistic P value
1 flex_mob NA(NA) NA(NA) NA(NA) Pearson’s Chi-squared test <0.001
2 1 762(32) 1018(68) 1780(46) Pearson’s Chi-squared test <0.001
3 2 409(17) 173(12) 582(15) Pearson’s Chi-squared test <0.001
4 3 556(24) 68(5) 624(16) Pearson’s Chi-squared test <0.001
5 4 631(27) 232(16) 863(22) Pearson’s Chi-squared test <0.001
7 abds_ms 45(33) 68(36) 54(36) Linear Model ANOVA <0.001
9 ext_ms 71(56) 114(58) 88(60) Linear Model ANOVA <0.001
10 sex NA(NA) NA(NA) NA(NA) Pearson’s Chi-squared test <0.001
11 0 560(24) 581(39) 1141(30) Pearson’s Chi-squared test <0.001
12 1 1798(76) 910(61) 2708(70) Pearson’s Chi-squared test <0.001
14 age 58(13) 57(13) 58(13) Linear Model ANOVA <0.001
16 lbp 6(2) 4(2) 5(2) Linear Model ANOVA <0.001
18 legp 4(3) 2(2) 3(3) Linear Model ANOVA <0.001
19 duration NA(NA) NA(NA) NA(NA) Pearson’s Chi-squared test <0.001
20 0 270(11) 400(27) 670(17) Pearson’s Chi-squared test <0.001
21 1 346(15) 481(32) 827(21) Pearson’s Chi-squared test <0.001
22 2 1742(74) 610(41) 2352(61) Pearson’s Chi-squared test <0.001
24 ipq 46(10) 37(11) 43(11) Linear Model ANOVA <0.001
26 fabq 10(6) 8(5) 9(6) Linear Model ANOVA <0.001
28 odi 30(12) 19(10) 25(13) Linear Model ANOVA <0.001
30 ases 6(2) 7(2) 7(2) Linear Model ANOVA <0.001
32 fitness 4(2) 5(2) 4(2) Linear Model ANOVA <0.001
34 endure 4(2) 5(2) 4(2) Linear Model ANOVA <0.001
36 balance 4(2) 5(2) 4(2) Linear Model ANOVA <0.001

Preprocess

Scale numeric variables to mean -0 and SD - 1

df_sem <- df_grp %>%
  #select (-c(strn, flexible, freedom)) %>%
  mutate_if(is.numeric, scale, center = TRUE, scale = TRUE) %>%
  mutate_if(is.factor, as.numeric)%>%
  mutate (sex = sex -1)

CFA

Test latent model

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


cfa0 <- lavaan::cfa (cfa_form0, 
           data = df_sem,
           ordered = c("flex_mob", "duration"),
           std.lv = FALSE, 
           auto.fix.first = TRUE, 
           estimator = "WLSMV",
           se = "robust.sem")

res1 <- residuals(cfa0, type = "cor")$cov %>% 
  cor_gather() %>%
  mutate (form = paste0(var1, "~~", var2))  %>%
  filter (abs(cor) > 0.10) %>%
  arrange (abs(cor))

fitMeasures(cfa0, fit.measures = c("rmsea", "pvalue", "cfi", "tli", "srmr", "nnfi"))
 rmsea pvalue    cfi    tli   srmr   nnfi 
 0.037  0.000  0.970  0.956  0.034  0.956 

Plot

 semPaths (cfa0, 
          what = "paths",
          whatLabels = "est",
          nCharNodes = 0,
          layout = "tree",
          label.cex = 1.25,
          sizeMan = 6,
          thresholds = FALSE,
          intercepts = FALSE)

my_label_list <- list(list(node = "funx", to = "activity"))
f <- semPaths (cfa0, 
          what = "paths",
          whatLabels = "est",
          nCharNodes = 0,
          layout = "tree",
          label.cex = 1,
          sizeMan = 6,
          residuals = FALSE, 
          thresholds = FALSE,
          intercepts = FALSE)
f2 <- change_node_label(f, my_label_list)
tiff ("manuscript/fig3.tiff", height = 8, width = 12, units = "in", res = 100)
plot (f2)
dev.off ()

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) %>%
  mutate (sex = sex - 1)
  

df_sem2 <- df_grp %>%
  filter (grp ==2) %>%
  select (-grp) %>%
  mutate_if(is.numeric, scale, center = TRUE, scale = TRUE) %>%
  mutate_if(is.factor, as.numeric)%>%
  mutate (sex = sex - 1)

Bayesian networks

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

num_vars <- names(df_sem)[! names(df_sem) %in% c("flex_mob", "grp", "duration", "sex")]

df.bn <- as.data.frame (df_sem) %>%
  select (-grp) %>%
  mutate (pain = as.numeric (NA),
          psych = as.numeric(NA),
          funx = as.numeric (NA),
          physical = as.numeric(NA))

df.bn1 <- as.data.frame (df_sem1) %>%
  mutate (pain = as.numeric (NA),
          psych = as.numeric(NA),
          funx = as.numeric (NA),
          physical = as.numeric(NA))%>%
  mutate_if (is.factor, as.numeric)

df.bn2 <- as.data.frame (df_sem2) %>%
  mutate (pain = as.numeric (NA),
          psych = as.numeric(NA),
          funx = as.numeric (NA),
          physical = as.numeric(NA))%>%
  mutate_if (is.factor, as.numeric)

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

pair_var <- expand.grid(from = names (df.bn),
                        to = names (df.bn)) %>%
  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, outcome.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 = "physical",
                        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)
writexl::write_xlsx(list (blacklist = bl, 
                          whitelist = wl), 
                    "manuscript/sm_black_white_list.xlsx")

Structural learning

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

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

latent_var <- c("age", "odi", "psych", "physical", "funx", "pain", "sex")

edge_2_form <- function (edge, vars2form, otherform) {
  
  edge <- as.data.frame(edge)
  
  edge <- edge[edge$to %in%vars2form, ] 
  form_vec <- edge %>%
    unite ("form", to, from, sep =  "~") %>%
    pull()
  
  paste0 (form_vec,  collapse = "\n")
  form  = paste0(otherform, paste0 (form_vec,  collapse = "\n"),  collapse = "\n")
  return (form)
}

Whole cohort

edge = arcs (m0)

sem_form0 <- edge_2_form(edge = edge,
            vars2form = latent_var,
            otherform = cfa_form0)

m0_sem <- lavaan::sem (sem_form0,  
                       data = df_sem,
                       ordered = c("flex_mob", "duration"),
                       std.lv = FALSE, 
                       auto.fix.first = TRUE, 
                       estimator = "WLSMV",
                       se = "robust.sem")
fitMeasures(m0_sem, fit.measures = c("rmsea", "pvalue", "cfi", "tli", "srmr", "nnfi"))
 rmsea pvalue    cfi    tli   srmr   nnfi 
 0.046  0.000  0.948  0.946  0.035  0.946 

my_label_list <- list(list(node = "funx", to = "activity"),
                      list (node = "sex", to = "gender"))

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

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

factor_layout <- matrix(c(NA,  "age", NA,    NA,  NA,
                          "funx", NA, NA, "pain", NA,
                          NA, NA, NA, NA, NA, 
                          NA, "sex", NA, NA, "odi",
                          NA, NA, NA, NA, NA, 
                          "physical", NA, NA,  "psych", NA), byrow = TRUE, 6, 5)

factor_point_to <- matrix(c(NA,   "left",NA,    NA,  NA,
                          "left", NA, NA, "up", NA,
                          NA, NA, NA, NA, NA, 
                          NA, "left", NA, NA, "left",
                          NA, NA, NA, NA, NA, 
                          "left", NA, NA,  "down", NA), byrow = TRUE, 6, 5)


indicator_push <- c(funx = 2,
                      physical = 2,
                      pain = 3,
                      psych = 3,
                    age = 0,
                    sex = 0,
                    odi = 0)

indicator_spread <- c(funx = 4,
                      physical = 4,
                      pain = 3,
                      psych = 3,
                      age = 0,
                      sex = 0,
                      odi = 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_sem) %>%
  change_node_label(my_label_list)
plot(p2)

tiff ("manuscript/fig3.tiff", height = 12, width = 20, units = "in", res = 100)
plot(p2)
dev.off ()
param_ex <- model_parameters(m0_sem, standardize = TRUE,
                 component = c("regression", "loading")) %>%
  rename (DV = To,
          IV = From,
          Zval = z,
          Pval = p) %>%
  mutate (Component = ifelse (Component == "Loading", "Latent", Component)) %>%
  mutate (Sig = ifelse (Pval < 0.05, "s", "ns")) %>%
  select (- c(Operator)) %>%
  mutate_if(is.numeric, round, 3)

# Export lavaan table
my_path <- paste0("manuscript/sm_table1", 
                  ".docx")
ft <- flextable(param_ex) %>%
  set_caption(caption = " Table 1.Parameter estimates for whole cohort") %>%
  autofit() 
my_doc <- read_docx()  %>% 
  body_add_flextable(ft)
print (my_doc, target = my_path)

Subgroup 1

edge = arcs (m1)

sem_form1 <- edge_2_form(edge = edge,
            vars2form = latent_var,
            otherform = cfa_form0)

m1_sem <- lavaan::sem (sem_form1,
                       data = df_sem1,
                       ordered = c("flex_mob", "duration"),
                       std.lv = FALSE, 
                       auto.fix.first = TRUE, 
                       estimator = "WLSMV",
                       se = "robust.sem")
summary (m1_sem)

fitMeasures(m1_sem, fit.measures = c("rmsea", "pvalue", "cfi", "tli", "srmr", "nnfi"))

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_sem)%>%
  change_node_label(my_label_list)
plot(p2)

tiff ("manuscript/fig4.tiff", height = 12, width = 20, units = "in", res = 100)
plot(p2)
dev.off ()
param_ex <- model_parameters(m1_sem, standardize = TRUE,
                 component = c("regression", "loading")) %>%
  rename (DV = To,
          IV = From,
          Zval = z,
          Pval = p) %>%
  mutate (Component = ifelse (Component == "Loading", "Latent", Component)) %>%
  mutate (Sig = ifelse (Pval < 0.05, "s", "ns")) %>%
  select (- c(Operator)) %>%
  mutate_if(is.numeric, round, 3)

# Export lavaan table
my_path <- paste0("manuscript/sm_table2", 
                  ".docx")
ft <- flextable(param_ex) %>%
  set_caption(caption = " Table 2.Parameter estimates for subgroup 1") %>%
  autofit() 
my_doc <- read_docx()  %>% 
  body_add_flextable(ft)
print (my_doc, target = my_path)

Subgroup 2

edge = arcs (m2)

sem_form2 <- edge_2_form(edge = edge,
            vars2form = latent_var,
            otherform = cfa_form0)

m2_sem <- lavaan::sem (sem_form2,  data = df_sem2, ordered = c("flex_mob", "duration"))
summary (m2_sem )

fitMeasures(m2_sem , fit.measures = c("rmsea", "pvalue", "cfi", "tli", "srmr", "nnfi"))

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_sem)%>%
  change_node_label(my_label_list)
plot(p2)
tiff ("manuscript/fig5.tiff", height = 12, width = 20, units = "in", res = 100)
plot(p2)
dev.off ()
param_ex <- model_parameters(m2_sem, standardize = TRUE,
                 component = c("regression", "loading")) %>%
  rename (DV = To,
          IV = From,
          Zval = z,
          Pval = p) %>%
  mutate (Component = ifelse (Component == "Loading", "Latent", Component)) %>%
  mutate (Sig = ifelse (Pval < 0.05, "s", "ns")) %>%
  select (- c(Operator)) %>%
  mutate_if(is.numeric, round, 3)
# Export lavaan table
my_path <- paste0("manuscript/sm_table3", 
                  ".docx")
ft <- flextable(param_ex) %>%
  set_caption(caption = " Table 3.Parameter estimates for subgroup 2") %>%
  autofit() 
my_doc <- read_docx()  %>% 
  body_add_flextable(ft)
print (my_doc, target = my_path)

Save data

res <- list (m0 = m0,
             m1 = m1,
             m2 = m2,
             m0_sem = m0_sem,
             m1_sem  = m1_sem,
             m2_sem  = m2_sem,
             df = df,
             df_grp = df_grp,
             df_sem = df_sem,
             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] clValid_0.7         fastcluster_1.2.3   factoextra_1.0.7   
 [4] cluster_2.1.2       SEMsens_1.0.2       parameters_0.18.1  
 [7] semptools_0.2.9.3   semPlot_1.1.2       lavaan_0.6-9       
[10] Rgraphviz_2.38.0    graph_1.72.0        BiocGenerics_0.40.0
[13] bnlearn_4.7         ggdendro_0.1.22     gtsummary_1.5.2    
[16] kableExtra_1.3.4    rstatix_0.7.0       arsenal_3.6.3      
[19] officer_0.4.0       flextable_0.6.9     ggpubr_0.4.0       
[22] cowplot_1.1.1       skimr_2.1.3         forcats_0.5.1      
[25] stringr_1.4.0       dplyr_1.0.7         purrr_0.3.4        
[28] readr_2.1.2         tidyr_1.1.4         tibble_3.1.6       
[31] ggplot2_3.3.6       tidyverse_1.3.1     workflowr_1.6.2    

loaded via a namespace (and not attached):
  [1] utf8_1.2.2          tidyselect_1.1.1    lme4_1.1-27.1      
  [4] htmlwidgets_1.5.4   munsell_0.5.0       codetools_0.2-18   
  [7] withr_2.5.0         colorspace_2.0-2    highr_0.9          
 [10] OpenMx_2.19.8       knitr_1.37          uuid_1.0-2         
 [13] rstudioapi_0.13     stats4_4.1.2        ggsignif_0.6.3     
 [16] mi_1.0              emmeans_1.7.0       git2r_0.28.0       
 [19] repr_1.1.3          mnormt_2.0.2        datawizard_0.4.1   
 [22] rprojroot_2.0.2     TH.data_1.1-0       coda_0.19-4        
 [25] vctrs_0.3.8         generics_0.1.1      xfun_0.30          
 [28] R6_2.5.1            arm_1.12-2          assertthat_0.2.1   
 [31] promises_1.2.0.1    scales_1.2.0        multcomp_1.4-17    
 [34] nnet_7.3-16         gtable_0.3.0        sandwich_3.0-1     
 [37] rlang_1.0.2         systemfonts_1.0.3   splines_4.1.2      
 [40] broom_0.7.12        checkmate_2.0.0     yaml_2.2.1         
 [43] reshape2_1.4.4      abind_1.4-5         modelr_0.1.8       
 [46] backports_1.4.1     httpuv_1.6.3        Hmisc_4.6-0        
 [49] tools_4.1.2         psych_2.1.9         ellipsis_0.3.2     
 [52] jquerylib_0.1.4     RColorBrewer_1.1-2  Rsolnp_1.16        
 [55] Rcpp_1.0.8          plyr_1.8.6          base64enc_0.1-3    
 [58] rockchalk_1.8.144   rpart_4.1-15        pbapply_1.5-0      
 [61] zoo_1.8-9           ggrepel_0.9.1       qgraph_1.9         
 [64] haven_2.4.3         fs_1.5.0            magrittr_2.0.1     
 [67] data.table_1.14.2   openxlsx_4.2.4      reprex_2.0.1       
 [70] mvtnorm_1.1-3       truncnorm_1.0-8     tmvnsim_1.0-2      
 [73] whisker_0.4         hms_1.1.1           evaluate_0.14      
 [76] xtable_1.8-4        XML_3.99-0.8        jpeg_0.1-9         
 [79] readxl_1.3.1        gridExtra_2.3       compiler_4.1.2     
 [82] mice_3.13.0         gt_0.3.1            crayon_1.4.2       
 [85] minqa_1.2.4         htmltools_0.5.2     corpcor_1.6.10     
 [88] later_1.3.0         tzdb_0.2.0          Formula_1.2-4      
 [91] RcppParallel_5.1.4  lubridate_1.8.0     DBI_1.1.1          
 [94] kutils_1.70         dbplyr_2.1.1        MASS_7.3-54        
 [97] broom.helpers_1.6.0 boot_1.3-28         Matrix_1.3-4       
[100] car_3.0-12          cli_3.2.0           parallel_4.1.2     
[103] insight_0.17.1      igraph_1.3.1        pkgconfig_2.0.3    
[106] sem_3.1-13          foreign_0.8-81      xml2_1.3.2         
[109] pbivnorm_0.6.0      svglite_2.0.0       bslib_0.3.1        
[112] webshot_0.5.2       estimability_1.3    rvest_1.0.2        
[115] digest_0.6.28       rmarkdown_2.14      cellranger_1.1.0   
[118] htmlTable_2.3.0     lisrelToR_0.1.4     gdtools_0.2.3      
[121] commonmark_1.7      gtools_3.9.2        nloptr_1.2.2.2     
[124] lifecycle_1.0.1     nlme_3.1-153        glasso_1.11        
[127] jsonlite_1.8.0      carData_3.0-4       viridisLite_0.4.0  
[130] fansi_0.5.0         pillar_1.6.4        lattice_0.20-45    
[133] fastmap_1.1.0       httr_1.4.2          survival_3.2-13    
[136] glue_1.6.1          bayestestR_0.12.1   zip_2.2.0          
[139] fdrtool_1.2.17      png_0.1-7           class_7.3-19       
[142] stringi_1.7.5       sass_0.4.0          regsem_1.8.0       
[145] latticeExtra_0.6-29