Make Binary Word

library(tidyREDCap)
library(dplyr)


The Problem

REDCap exports a “choose all that apply” question into a series of similarly-named, binary indicator variables (i.e., the variables are equal to either “checked” or “unchecked”). Using these variables individually, there is no obvious way to detect common patterns people pick together.

Example: In the Nacho Craving Index (NCI), respondents can indicate which of eight ingredients they are currently craving (i.e., Chips, Yellow cheese, Orange cheese, White cheese, Meat, Beans, Tomatoes, Peppers). These are exported into variables with names like ingredients___1, ingredients___2, etc.

In REDCap, it is simple to get a summary of those individual variables by using the “Data Exports, Reports, and Stats” application within the REDCap interface and selecting “Stats & Charts”. Once the data is in R, simple tables can be produced with the table() function, or beautiful tables can be created with the tabyl() and adorn_pct_formatting() functions from the janitor package. However, from these univariate tables, it is impossible to judge which patterns of answers are marked together. In the above example, using the univariate tables, it is difficult to tell what percentage of people are craving both chips and yellow cheese.

redcap <- readRDS(file = "./redcap.rds")

# Chips
janitor::tabyl(redcap$ingredients___1) %>% 
  janitor::adorn_pct_formatting() %>% 
  knitr::kable()
redcap$ingredients___1 n percent
Unchecked 21 70.0%
Checked 9 30.0%

# Yellow cheese
janitor::tabyl(redcap$ingredients___2) %>% 
  janitor::adorn_pct_formatting() %>% 
  knitr::kable()
redcap$ingredients___2 n percent
Unchecked 23 76.7%
Checked 7 23.3%

Aside: Loading REDCap Data into R

See the Import All Instruments from a REDCap Project and Importing from REDCap vignettes for details/information.

Make Analysis Data

Even after subsetting the REDCap data to only include the ingredients variables, it is still difficult to detect common patterns in the eight ingredients.

redcap <- readRDS(file = "./redcap.rds")

analysis <- redcap %>% 
  select(starts_with("ingredients___")) 
  
knitr::kable(tail(analysis))
ingredients___1 ingredients___2 ingredients___3 ingredients___4 ingredients___5 ingredients___6 ingredients___7 ingredients___8
25 Checked Checked Unchecked Unchecked Unchecked Checked Unchecked Unchecked
26 Unchecked Unchecked Unchecked Unchecked Unchecked Unchecked Unchecked Unchecked
27 Unchecked Unchecked Unchecked Unchecked Unchecked Unchecked Unchecked Unchecked
28 Unchecked Unchecked Unchecked Unchecked Unchecked Unchecked Unchecked Unchecked
29 Unchecked Unchecked Unchecked Unchecked Unchecked Unchecked Unchecked Unchecked
30 Checked Checked Unchecked Unchecked Unchecked Unchecked Checked Unchecked



The Solution

Default Lettering

The make_binary_word() function combines responses from the individual variables into a single “word” that indicates which choices were selected. For example, if the first option from the NCI ingredient question, chips (i.e., ingredients___1), was checked, the word created by make_binary_word() will begin with a; or if it was not checked, the word would start with _. If the second option, Yellow cheese (i.e., ingredients___2), was checked, the next letter will be a b; otherwise, a _ will be used as a placeholder. Following this pattern, if somebody is not craving any of the eight nacho ingredients, the “word” will be eight underscores, one for each ingredient (i.e., ________). Conversely, if they are craving every ingredient, the “word” will be abcdefgh.

patterns <- make_binary_word(analysis) 
janitor::tabyl(patterns)
#>  patterns  n    percent
#>  ________ 20 0.66666667
#>  ______gh  1 0.03333333
#>  a_c__f_h  1 0.03333333
#>  a_cdefgh  1 0.03333333
#>  ab____g_  1 0.03333333
#>  ab___f__  1 0.03333333
#>  ab___f_h  1 0.03333333
#>  ab__efgh  1 0.03333333
#>  ab_de_gh  1 0.03333333
#>  ab_defgh  1 0.03333333
#>  abcdef_h  1 0.03333333

Custom Lettering

While the default lettering is somewhat helpful, using meaningful (mnemonic) letters makes the binary words easier to understand. In this case, the first letter for each choice can be used as a helpful mnemonic.

Abbreviation Ingredient
C Chips
Y Yellow cheese
O Orange cheese
W White cheese
M Meat
B Beans
T Tomatoes
P Peppers

To use custom lettering, specify a vector of single-letter abbreviations and pass it to the the_labels argument. Be sure to include one unique abbreviation for each data frame column. For example:

labels <- c("C", "Y", "O", "W", "M", "B", "T", "P")

patterns <- make_binary_word(analysis, the_labels = labels)

janitor::tabyl(patterns)
#>  patterns  n    percent
#>  CYOWMB_P  1 0.03333333
#>  CY_WMBTP  1 0.03333333
#>  CY_WM_TP  1 0.03333333
#>  CY__MBTP  1 0.03333333
#>  CY___B_P  1 0.03333333
#>  CY___B__  1 0.03333333
#>  CY____T_  1 0.03333333
#>  C_OWMBTP  1 0.03333333
#>  C_O__B_P  1 0.03333333
#>  ______TP  1 0.03333333
#>  ________ 20 0.66666667

The summary table shows that 20 people did not provide information about what ingredients they craved. The remaining people do not display any recurring patterns, but many people craved chips and yellow cheese together.