Last updated: 2020-11-04

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Knit directory: 2020_ODI_network/

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Rmd 9e388e3 Liew 2020-11-03 tidied reporting
Rmd 5f1623a bernard-liew 2020-10-13 initial network analysis

Load package

if (!require("pacman")) install.packages("pacman")
Loading required package: pacman
Warning: package 'pacman' was built under R version 3.6.1
pacman::p_load(tidyverse,
               qgraph,
               stats,
               bootnet,
               igraph,
               plotrix,
               mgm,
               NetworkComparisonTest,
               rio,
               furrr,
               cowplot,
               doParallel,
               huge,
               EGAnet)

Report network without group as variable

ODI labels

# ODI custom figure
nodeLabels <- c("Pain Intensity", "Personal Care", "Lifting", "Walking", "Sitting",
                "Standing", "Sleeping", "Sex life", "Social life", "Travelling")
ques <- paste0("Q", 1:10)

node_df <- data.frame("Item" = ques,
                      "Variable" = nodeLabels)

Load models

# Model with missing data as input
res <- readRDS("output/raw.RDS")
# Model with complete imputed data as input
#res <- readRDS("output/com.RDS")

Plot network

Blue edges - positive correlation

Red edges - negative correlation

The thickness of the edges indicate the magnitude of correlation.

#tiff(width = 15, height = 15, units = "in", res = 100, file = "output/odi_network.tiff")
par (mfrow = c(2,3))
p1 <- plot (res$nw[[1]], title = "Baseline", label.cex = 1.5, vsize = 10)
plot (res$nw[[2]], title = "Week 5", layout = p1$layout, label.cex = 1.5, vsize = 10)
plot (res$nw[[3]], title = "Week 10", layout = p1$layout, label.cex = 1.5, vsize = 10)
plot (res$nw[[4]], title = "Week 26", layout = p1$layout, label.cex = 1.5, vsize = 10)
plot (res$nw[[5]], title = "Week 52", layout = p1$layout, label.cex = 1.5, vsize = 10)
plot.new()
addtable2plot(0,0,node_df, 
              xpad=1, ypad=1,
              bty='o',
              display.rownames = FALSE, 
              hlines = TRUE,
              vlines = TRUE)

#dev.off()

Plot centrality

Strength - sum of direct connections a given node has in the network

Betweenness - shortest paths that go through the node under investigation

Closeness - sum of shortest paths from the node under investigation to all other nodes in the network

Expected influence - sum of a node’s connections and represents the relative importance of a node in a network

# Plot centrality
c_fig <- map (res$nw, centralityPlot, include = "all", print = FALSE)
Note: z-scores are shown on x-axis rather than raw centrality indices.
Note: z-scores are shown on x-axis rather than raw centrality indices.
Note: z-scores are shown on x-axis rather than raw centrality indices.
Note: z-scores are shown on x-axis rather than raw centrality indices.
Note: z-scores are shown on x-axis rather than raw centrality indices.
#tiff(width = 15, height = 15, units = "in", res = 100, file = "output/odi_strength.tiff")
cowplot::plot_grid(plotlist = c_fig, labels = c("Wk0","Wk 5", "Wk 10", "Wk 26", "wk52" ), vjust = 1, hjust = 0)

#dev.off()

Plot centrality stability

Is the centrality order stable?

# Plot centrality stability
s_fig <- map (res$centr_stb, plot, statistics = c("closeness", "strength", "betweenness"))
Warning: `filter_()` is deprecated as of dplyr 0.7.0.
Please use `filter()` instead.
See vignette('programming') for more help
This warning is displayed once every 8 hours.
Call `lifecycle::last_warnings()` to see where this warning was generated.
Warning: `select_()` is deprecated as of dplyr 0.7.0.
Please use `select()` instead.
This warning is displayed once every 8 hours.
Call `lifecycle::last_warnings()` to see where this warning was generated.
Warning: `group_by_()` is deprecated as of dplyr 0.7.0.
Please use `group_by()` instead.
See vignette('programming') for more help
This warning is displayed once every 8 hours.
Call `lifecycle::last_warnings()` to see where this warning was generated.
Warning: `summarise_()` is deprecated as of dplyr 0.7.0.
Please use `summarise()` instead.
This warning is displayed once every 8 hours.
Call `lifecycle::last_warnings()` to see where this warning was generated.
Warning: `arrange_()` is deprecated as of dplyr 0.7.0.
Please use `arrange()` instead.
See vignette('programming') for more help
This warning is displayed once every 8 hours.
Call `lifecycle::last_warnings()` to see where this warning was generated.
#tiff(width = 15, height = 15, units = "in", res = 100, file = "output/odi_stability.tiff")
cowplot::plot_grid(plotlist = s_fig, labels = c("Wk0","Wk 5", "Wk 10", "Wk 26", "wk52" ), vjust = 1, hjust = -1)

#dev.off()

Get CS coefficient

The stability of centrality estimation, and results in a centrality-stability coefficient (CS-coefficient) that should not be lower than 0.25 and preferably above 0.5

cs_coef <- res %>%
  select (time, cor_stb) %>%
  unnest () %>%
  ungroup() %>%
  mutate (measure = rep (c("betweenness", "closeness", "edge", "expectedInfluence", "strength"), 5))
Warning: `cols` is now required.
Please use `cols = c(cor_stb)`

Plot edge weights stability

See which edges differ from each other in size significantly (to answer the question is edge A significantly larger than edge B).

w_fig <- map (res$edgewts, plot, labels = FALSE)
Warning: `mutate_()` is deprecated as of dplyr 0.7.0.
Please use `mutate()` instead.
See vignette('programming') for more help
This warning is displayed once every 8 hours.
Call `lifecycle::last_warnings()` to see where this warning was generated.
cowplot::plot_grid(plotlist = w_fig, labels = c("Wk0","Wk 5", "Wk 10", "Wk 26", "wk52" ), vjust = 1, hjust = -1)

Report network with group as variable

Load models

# Model with missing data as input
res <- readRDS("output/mgm_raw.RDS")
# Model with complete imputed data as input
#res <- readRDS("output/com.RDS")

Plot network

Blue edges - positive correlation

Red edges - negative correlation

The thickness of the edges indicate the magnitude of correlation.

#tiff(width = 15, height = 15, units = "in", res = 100, file = "output/odi_network.tiff")
par (mfrow = c(2,3))
p1 <- plot (res$nw[[1]], title = "Baseline", label.cex = 1.5, vsize = 10)
plot (res$nw[[2]], title = "Week 5", layout = p1$layout, label.cex = 1.5, vsize = 10)
plot (res$nw[[3]], title = "Week 10", layout = p1$layout, label.cex = 1.5, vsize = 10)
plot (res$nw[[4]], title = "Week 26", layout = p1$layout, label.cex = 1.5, vsize = 10)
plot (res$nw[[5]], title = "Week 52", layout = p1$layout, label.cex = 1.5, vsize = 10)
plot.new()
addtable2plot(0,0,node_df, 
              xpad=1, ypad=1,
              bty='o',
              display.rownames = FALSE, 
              hlines = TRUE,
              vlines = TRUE)

#dev.off()

Plot centrality

Strength - sum of direct connections a given node has in the network

Betweenness - shortest paths that go through the node under investigation

Closeness - sum of shortest paths from the node under investigation to all other nodes in the network

Expected influence - sum of a node’s connections and represents the relative importance of a node in a network

# Plot centrality
c_fig <- map (res$nw, centralityPlot, include = "all", print = FALSE)
Note: z-scores are shown on x-axis rather than raw centrality indices.
Note: z-scores are shown on x-axis rather than raw centrality indices.
Note: z-scores are shown on x-axis rather than raw centrality indices.
Note: z-scores are shown on x-axis rather than raw centrality indices.
Note: z-scores are shown on x-axis rather than raw centrality indices.
#tiff(width = 15, height = 15, units = "in", res = 100, file = "output/odi_strength.tiff")
cowplot::plot_grid(plotlist = c_fig, labels = c("Wk0","Wk 5", "Wk 10", "Wk 26", "wk52" ), vjust = 1, hjust = 0)

#dev.off()

Plot centrality stability

Is the centrality order stable?

# Plot centrality stability
s_fig <- map (res$centr_stb, plot, statistics = c("closeness", "strength", "betweenness"))
Warning in plot.bootnet(.x[[i]], ...): Statistic closeness does not contain any
variance and is therefore not shown.
#tiff(width = 15, height = 15, units = "in", res = 100, file = "output/odi_stability.tiff")
cowplot::plot_grid(plotlist = s_fig, labels = c("Wk0","Wk 5", "Wk 10", "Wk 26", "wk52" ), vjust = 1, hjust = -1)

#dev.off()

Get CS coefficient

The stability of centrality estimation, and results in a centrality-stability coefficient (CS-coefficient) that should not be lower than 0.25 and preferably above 0.5

cs_coef <- res %>%
  select (time, cor_stb) %>%
  unnest () %>%
  ungroup() %>%
  mutate (measure = rep (c("betweenness", "closeness", "edge", "expectedInfluence", "strength"), 5))
Warning: `cols` is now required.
Please use `cols = c(cor_stb)`

Plot edge weights stability

See which edges differ from each other in size significantly (to answer the question is edge A significantly larger than edge B).

w_fig <- map (res$edgewts, plot, labels = FALSE)
cowplot::plot_grid(plotlist = w_fig, labels = c("Wk0","Wk 5", "Wk 10", "Wk 26", "wk52" ), vjust = 1, hjust = -1)


sessionInfo()
R version 3.6.0 (2019-04-26)
Platform: x86_64-w64-mingw32/x64 (64-bit)
Running under: Windows 10 x64 (build 18362)

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] parallel  stats     graphics  grDevices utils     datasets  methods  
[8] base     

other attached packages:
 [1] EGAnet_0.9.6                huge_1.3.4.1               
 [3] doParallel_1.0.15           iterators_1.0.10           
 [5] foreach_1.4.4               cowplot_1.0.0              
 [7] furrr_0.1.0                 future_1.12.0              
 [9] rio_0.5.16                  NetworkComparisonTest_2.2.1
[11] mgm_1.2-10                  plotrix_3.7-5              
[13] igraph_1.2.4.2              bootnet_1.4.3              
[15] qgraph_1.6.5                forcats_0.4.0              
[17] stringr_1.4.0               dplyr_1.0.2                
[19] purrr_0.3.3                 readr_1.3.1                
[21] tidyr_1.0.2                 tibble_3.0.3               
[23] ggplot2_3.2.1               tidyverse_1.3.0            
[25] pacman_0.5.1               

loaded via a namespace (and not attached):
  [1] R.utils_2.8.0        tidyselect_1.1.0     lme4_1.1-21         
  [4] htmlwidgets_1.5.1    grid_3.6.0           munsell_0.5.0       
  [7] codetools_0.2-16     withr_2.1.2          colorspace_1.4-1    
 [10] NetworkToolbox_1.4.0 knitr_1.27           rstudioapi_0.11     
 [13] stats4_3.6.0         listenv_0.7.0        labeling_0.3        
 [16] git2r_0.27.1         mnormt_1.5-5         farver_2.0.3        
 [19] rprojroot_1.3-2      vctrs_0.3.4          generics_0.0.2      
 [22] xfun_0.7             R6_2.4.0             smacof_2.1-1        
 [25] assertthat_0.2.1     promises_1.0.1       scales_1.1.1        
 [28] nnet_7.3-12          gtable_0.3.0         globals_0.12.4      
 [31] weights_1.0.1        workflowr_1.6.2      rlang_0.4.7         
 [34] splines_3.6.0        lazyeval_0.2.2       acepack_1.4.1       
 [37] wordcloud_2.6        broom_0.5.4          checkmate_1.9.3     
 [40] yaml_2.2.0           reshape2_1.4.3       abind_1.4-5         
 [43] modelr_0.1.5         d3Network_0.5.2.1    backports_1.1.4     
 [46] httpuv_1.5.2         Hmisc_4.2-0          tools_3.6.0         
 [49] psych_1.8.12         lavaan_0.6-5         ellipsis_0.3.0      
 [52] RColorBrewer_1.1-2   polynom_1.4-0        Rcpp_1.0.2          
 [55] plyr_1.8.4           base64enc_0.1-3      rpart_4.1-15        
 [58] pbapply_1.4-0        haven_2.2.0          cluster_2.0.9       
 [61] fs_1.3.0             survey_3.36          magrittr_1.5        
 [64] data.table_1.12.8    openxlsx_4.1.4       reprex_0.3.0        
 [67] mvtnorm_1.0-10       matrixcalc_1.0-3     whisker_0.3-2       
 [70] mitml_0.3-7          hms_0.5.3            evaluate_0.14       
 [73] jpeg_0.1-8           readxl_1.3.1         gridExtra_2.3       
 [76] shape_1.4.4          compiler_3.6.0       ellipse_0.4.1       
 [79] mice_3.7.0           crayon_1.3.4         minqa_1.2.4         
 [82] R.oo_1.22.0          htmltools_0.4.0      corpcor_1.6.9       
 [85] later_0.8.0          Formula_1.2-3        lubridate_1.7.4     
 [88] DBI_1.0.0            relaimpo_2.2-3       dbplyr_1.4.4        
 [91] MASS_7.3-51.4        boot_1.3-22          IsingSampler_0.2.1  
 [94] Matrix_1.2-17        IsingFit_0.3.1       car_3.0-2           
 [97] cli_2.0.1            heplots_1.3-5        mitools_2.4         
[100] R.methodsS3_1.7.1    gdata_2.18.0         pan_1.6             
[103] BDgraph_2.63         pkgconfig_2.0.2      foreign_0.8-71      
[106] xml2_1.2.2           pbivnorm_0.6.0       rvest_0.3.5         
[109] digest_0.6.19        rmarkdown_2.3        cellranger_1.1.0    
[112] htmlTable_1.13.1     curl_4.3             gtools_3.8.1        
[115] jomo_2.6-7           rjson_0.2.20         nloptr_1.2.1        
[118] lifecycle_0.2.0      nlme_3.1-139         glasso_1.11         
[121] jsonlite_1.6         carData_3.0-2        fansi_0.4.0         
[124] pillar_1.4.3         lattice_0.20-38      httr_1.4.1          
[127] survival_2.44-1.1    glue_1.4.2           networktools_1.2.3  
[130] zip_2.0.4            fdrtool_1.2.15       png_0.1-7           
[133] candisc_0.8-3        glmnet_3.0-1         class_7.3-15        
[136] stringi_1.4.3        nnls_1.4             blob_1.2.1          
[139] latticeExtra_0.6-28  eigenmodel_1.11      e1071_1.7-1