Last updated: 2020-11-23
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Knit directory: 2020_cts_bn/
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Rmd | 2266d36 | bernard-liew | 2020-11-23 | added explanation to graphs |
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Rmd | fe17d91 | bernard-liew | 2020-10-26 | initial analysis |
This is an example of a Bayesian network, with directed arcs. I only perform the analysis on a subset of provided variables.
rm (list = ls())
# Helper
library (tidyverse)
# BN
library (bnlearn)
# Model
library (caret)
# Feature parallel
library (doParallel)
# Plot
library (Rgraphviz)
dat <- readRDS ("output/dat.RDS")
dat <- dat %>%
mutate (ppt_medn_base = (ppt_medn_aff_base + ppt_medn_naff_base)/2,
ppt_uln_base = (ppt_uln_aff_base + ppt_uln_naff_base)/2,
ppt_radn_base = (ppt_radn_aff_base + ppt_radn_naff_base)/2,
ppt_neck_base = (ppt_neck_aff_base + ppt_neck_naff_base)/2,
ppt_cts_base = (ppt_cts_aff_base + ppt_cts_naff_base)/2,
ppt_ta_base = (ppt_ta_aff_base + ppt_ta_naff_base)/2) %>%
select (-c(ppt_medn_aff_base:ppt_ta_naff_base))
var.excl <- c(grep ("groc", names (dat), value = TRUE) ,
grep ("worst", names (dat), value = TRUE) ,
grep ("base", names (dat), value = TRUE) ,
"age", "pain_years", "pain_extent", "aff_side", "emg")
df.bn = as.data.frame (dat)[, !names (dat) %in% var.excl] %>%
na.omit()
df.bn$grp <- factor (df.bn$grp)
rx.var <- "grp"
demo.var = grep("age|sex|years|emg", colnames (df.bn), value = TRUE)
base.var = grep("_base", colnames (df.bn), value = TRUE)
mth1.var = grep("_1", colnames (df.bn), value = TRUE)
mth3.var = grep("_3", colnames (df.bn), value = TRUE)
mth6.var = grep("_6", colnames (df.bn), value = TRUE)
outcome.var = grep("_12", colnames (df.bn), value = TRUE)
pair_var <- expand.grid(from = names (df.bn),
to = names (df.bn)) %>%
rownames_to_column()
tiers_keep <- pair_var %>%
filter (!(grepl (paste0(outcome.var, collapse = "|"),from))) %>%
filter (!(grepl (paste0(rx.var, collapse = "|"),to))) %>%
filter (!(grepl (paste0(mth6.var, collapse = "|"), from) &
grepl (paste0(c(demo.var, base.var, mth1.var, mth3.var), collapse = "|"),to))) %>%
filter (!(grepl (paste0(mth3.var, collapse = "|"), from) &
grepl (paste0(c(demo.var, base.var, mth1.var), collapse = "|"),to))) #%>%
# filter (!(grepl (paste0(mth1.var, collapse = "|"), from) &
# grepl (paste0(c(demo.var, base.var), collapse = "|"),to))) %>%
# filter (!(grepl (paste0(base.var, collapse = "|"), from) &
# grepl (paste0(c(demo.var), collapse = "|"),to)))
bl <- anti_join(pair_var, tiers_keep, by = "rowname") %>%
filter (from != to) %>%
select (from, to)
set.seed (123)
boot <- boot.strength(df.bn,
R = 200,
algorithm = "hc",
algorithm.args = list (blacklist = bl))
“Underneath” the model is a complex mathematical relationship between each variables.The figure is meant to illustrate a complex model simply. Interpretation of a Bayesian Network model should be natural, the arrows reflect the direction of relationship. Example, grp
influences cts_func_12m
partly by cts_func_1m
and partly directly. The thickness of the arrows reflect how common one would expect to find such a relationship should many separate experiments be collected. Whether the arrows reflect causal relationships really depend if we think these variables represent an exhaustive list of plausible biological causes. In this case, I do not think we can say it is causal, but we can certainly understand a complex relationship driving recovery.
avg <- averaged.network(boot, threshold = 0.5)
fit <- bn.fit (avg, df.bn, method = "mle")
g <- strength.plot(avg, boot, shape = "ellipse", render = FALSE)
graph::nodeRenderInfo(g) = list(fontsize=18)
Rgraphviz::renderGraph(g)
Not run yet.
Inner is bootstrap resampling for model averaging. Outer is bootstrap resampling k = 25 for performance evaluation.
Warning in check.data(data, allow.levels = TRUE, allow.missing = TRUE,
warn.if.no.missing = TRUE): no missing data are present even though some are
expected.
Warning in check.data(data, allow.levels = TRUE, allow.missing = TRUE,
warn.if.no.missing = TRUE): no missing data are present even though some are
expected.
Warning in check.data(data, allow.levels = TRUE, allow.missing = TRUE,
warn.if.no.missing = TRUE): no missing data are present even though some are
expected.
Warning in check.data(data, allow.levels = TRUE, allow.missing = TRUE,
warn.if.no.missing = TRUE): no missing data are present even though some are
expected.
Warning in check.data(data, allow.levels = TRUE, allow.missing = TRUE,
warn.if.no.missing = TRUE): no missing data are present even though some are
expected.
Warning in check.data(data, allow.levels = TRUE, allow.missing = TRUE,
warn.if.no.missing = TRUE): no missing data are present even though some are
expected.
Warning in check.data(data, allow.levels = TRUE, allow.missing = TRUE,
warn.if.no.missing = TRUE): no missing data are present even though some are
expected.
Warning in check.data(data, allow.levels = TRUE, allow.missing = TRUE,
warn.if.no.missing = TRUE): no missing data are present even though some are
expected.
Warning in check.data(data, allow.levels = TRUE, allow.missing = TRUE,
warn.if.no.missing = TRUE): no missing data are present even though some are
expected.
Warning in check.data(data, allow.levels = TRUE, allow.missing = TRUE,
warn.if.no.missing = TRUE): no missing data are present even though some are
expected.
New names:
* NA -> ...1
* NA -> ...2
* NA -> ...3
* NA -> ...4
* NA -> ...5
* ...
cts_func_1m cts_severe_1m mean_pain_3m cts_func_3m cts_severe_3m
0.746507217 0.213453855 0.688864041 0.759489264 0.730701535
mean_pain_6m cts_func_6m cts_severe_6m mean_pain_12m cts_func_12m
0.590325932 0.805223031 0.783927409 -0.006836802 0.157076614
cts_severe_12m
-0.177712188
sessionInfo()
R version 3.6.0 (2019-04-26)
Platform: x86_64-w64-mingw32/x64 (64-bit)
Running under: Windows 10 x64 (build 18363)
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 parallel stats graphics grDevices utils datasets
[8] methods base
other attached packages:
[1] Rgraphviz_2.22.0 graph_1.56.0 BiocGenerics_0.24.0
[4] doParallel_1.0.15 iterators_1.0.10 foreach_1.4.4
[7] caret_6.0-84 lattice_0.20-38 bnlearn_4.5
[10] forcats_0.4.0 stringr_1.4.0 dplyr_1.0.2
[13] purrr_0.3.3 readr_1.3.1 tidyr_1.0.2
[16] tibble_3.0.3 ggplot2_3.2.1 tidyverse_1.3.0
loaded via a namespace (and not attached):
[1] nlme_3.1-139 fs_1.3.0 lubridate_1.7.4 DiceDesign_1.8-1
[5] httr_1.4.1 rprojroot_1.3-2 tools_3.6.0 backports_1.1.4
[9] R6_2.4.0 rpart_4.1-15 DBI_1.0.0 lazyeval_0.2.2
[13] colorspace_1.4-1 nnet_7.3-12 withr_2.1.2 tidyselect_1.1.0
[17] compiler_3.6.0 git2r_0.27.1 cli_2.0.1 rvest_0.3.5
[21] xml2_1.2.2 scales_1.1.1 digest_0.6.19 rmarkdown_2.3
[25] pkgconfig_2.0.2 htmltools_0.4.0 lhs_1.0.1 dbplyr_1.4.4
[29] rlang_0.4.7 readxl_1.3.1 rstudioapi_0.11 generics_0.0.2
[33] jsonlite_1.6 ModelMetrics_1.2.2 magrittr_1.5 Matrix_1.2-17
[37] Rcpp_1.0.2 munsell_0.5.0 fansi_0.4.0 GPfit_1.0-8
[41] lifecycle_0.2.0 stringi_1.4.3 whisker_0.3-2 yaml_2.2.0
[45] MASS_7.3-51.4 plyr_1.8.4 recipes_0.1.9 blob_1.2.1
[49] promises_1.0.1 crayon_1.3.4 haven_2.2.0 splines_3.6.0
[53] hms_0.5.3 knitr_1.27 pillar_1.4.3 dials_0.0.4
[57] stats4_3.6.0 reshape2_1.4.3 codetools_0.2-16 parsnip_0.0.5
[61] reprex_0.3.0 glue_1.4.2 evaluate_0.14 data.table_1.12.8
[65] modelr_0.1.5 vctrs_0.3.4 httpuv_1.5.2 cellranger_1.1.0
[69] gtable_0.3.0 assertthat_0.2.1 xfun_0.7 gower_0.2.0
[73] prodlim_2018.04.18 broom_0.5.4 later_0.8.0 class_7.3-15
[77] survival_2.44-1.1 timeDate_3043.102 workflowr_1.6.2 lava_1.6.5
[81] workflows_0.1.0 ellipsis_0.3.0 ipred_0.9-9