# Descriptives statistics for Table 1

#### Max Gordon

#### 2023-08-25

The purpose of the first table in a medical paper is most often to describe your population. In an RCT the table frequently compares the baseline characteristics between the randomized groups, while an observational study will often compare exposed with unexposed. In this vignette I will show how I use the functions to quickly generate a descriptive table.

We will use the mtcars dataset and compare the groups with automatic transmission to those without. The units and labels are built upon the logic in the Hmisc package that allow us to specify attributes on columns. Note that this labeling is not needed, it just makes stuff nicer.

    library(Gmisc)
    data("mtcars")
    mtcars <- mtcars %>%
      mutate(am = factor(am, levels = 0:1, labels = c("Automatic", "Manual")),
             gear = factor(gear),
             # Make up some data for making it slightly more interesting
             col = factor(sample(c("red", "black", "silver"),
                                 size = NROW(mtcars),
                                 replace = TRUE))) %>%
      set_column_labels(mpg = "Gas",
                        wt = "Weight",
                        am = "Transmission",
                        gear = "Gears",
                        col = "Car color") %>%
      set_column_units(mpg = "Miles/(US) gallon",
                       wt = "10<sup>3</sup> lbs")

# The basics of `getDescriptionStatsBy`

The function `getDescriptionStatsBy` is a simple way to do basic descriptive statistics. Mandatory named column is by:

    mtcars %>%
      getDescriptionStatsBy(mpg,
                            wt,
                            am,
                            gear,
                            col,
                            by = am)

| Automatic | Manual
--- | --- | ---
Gas | 17.1 (±3.8) | 24.4 (±6.2)
Weight | 3.8 (±0.8) | 2.4 (±0.6)
Transmission | 19 (100.0%) | 0 (0.0%)
Gears
3 | 15 (78.9%) | 0 (0.0%)
4 | 4 (21.1%) | 8 (61.5%)
5 | 0 (0.0%) | 5 (38.5%)
Car color
black | 8 (42.1%) | 3 (23.1%)
red | 5 (26.3%) | 4 (30.8%)
silver | 6 (31.6%) | 6 (46.2%)

If we prefer median we can simply specify the statistic used with continuous variables:

    mtcars %>%
      getDescriptionStatsBy(mpg,
                            wt,
                            am,
                            gear,
                            col,
                            by = am,
                            continuous_fn = describeMedian)

| Automatic | Manual
--- | --- | ---
Gas | 17.3 (14.9 - 19.2) | 22.8 (21.0 - 30.4)
Weight | 3.5 (3.4 - 3.8) | 2.3 (1.9 - 2.8)
Transmission | 19 (100.0%) | 0 (0.0%)
Gears
3 | 15 (78.9%) | 0 (0.0%)
4 | 4 (21.1%) | 8 (61.5%)
5 | 0 (0.0%) | 5 (38.5%)
Car color
black | 8 (42.1%) | 3 (23.1%)
red | 5 (26.3%) | 4 (30.8%)
silver | 6 (31.6%) | 6 (46.2%)

## Integration with `htmlTable`

Key to having a good descriptive statistics is to be able to output it into a table. I usually rely on `htmlTabl` for all my table requirements as it has a nice set of advanced options that allow us to get publication ready tables that can simply be copy-pasted into our paper. Note that we here use html code † that we then explain in the footer. If we specify a name to the parameters like this we override the labels previously set.

    mtcars %>%
      getDescriptionStatsBy(mpg,
                            `Weight&dagger;` = wt,
                            am,
                            gear,
                            col,
                            by = am) %>%
      htmlTable(caption  = "Basic descriptive statistics from the mtcars dataset",
                tfoot = "&dagger; The weight is in 10<sup>3</sup> kg")

Basic descriptive statistics from the mtcars dataset
| Automatic | Manual
--- | --- | ---
Gas | 17.1 (±3.8) | 24.4 (±6.2)
Weight† | 3.8 (±0.8) | 2.4 (±0.6)
Transmission | 19 (100.0%) | 0 (0.0%)
Gears
3 | 15 (78.9%) | 0 (0.0%)
4 | 4 (21.1%) | 8 (61.5%)
5 | 0 (0.0%) | 5 (38.5%)
Car color
black | 8 (42.1%) | 3 (23.1%)
red | 5 (26.3%) | 4 (30.8%)
silver | 6 (31.6%) | 6 (46.2%)
† The weight is in 103 kg

## Extra everything

There is a large set of options for `getDescriptionStatsBy`, here is an example with some of them an some extra styling.

    mtcars %>%
      getDescriptionStatsBy(mpg,
                            `Weight&dagger;` = wt,
                            am,
                            gear,
                            col,
                            by = am,
                            digits = 0,
                            add_total_col = TRUE,
                            use_units = "name") %>%
      addHtmlTableStyle(pos.caption = "bottom") %>%
      htmlTable(caption  = "Basic descriptive statistics from the mtcars dataset",
                tfoot = "&dagger; The weight is in 10<sup>3</sup> kg")

| Total | Automatic | Manual
--- | --- | --- | ---
Gas (Miles/(US) gallon) | 20 (±6) | 17 (±4) | 24 (±6)
Weight† (103 lbs) | 3 (±1) | 4 (±1) | 2 (±1)
Transmission | 19 (59%) | 19 (100%) | 0 (0%)
Gears
3 | 15 (47%) | 15 (79%) | 0 (0%)
4 | 12 (38%) | 4 (21%) | 8 (62%)
5 | 5 (16%) | 0 (0%) | 5 (38%)
Car color
black | 11 (34%) | 8 (42%) | 3 (23%)
red | 9 (28%) | 5 (26%) | 4 (31%)
silver | 12 (38%) | 6 (32%) | 6 (46%)
Basic descriptive statistics from the mtcars dataset
† The weight is in 103 kg

# P-values

Event though p-values are discouraged in the Table 1, they are not uncommon. I have therefore added basic statistics consisting that defaults to Fisher’s exact test for proportions and Wilcoxon rank sum test for continuous values.

    mtcars %>%
      getDescriptionStatsBy(mpg,
                            wt,
                            am,
                            gear,
                            col,
                            by = am,
                            continuous_fn = describeMedian,
                            digits = 0,
                            header_count = TRUE,
                            statistics = TRUE) %>%
      htmlTable(caption  = "Basic descriptive statistics from the mtcars dataset")

Basic descriptive statistics from the mtcars dataset
| Automatic No. 19 | Manual No. 13 | P-value
--- | --- | --- | ---
Gas | 17 (15 - 19) | 23 (21 - 30) | 0.002
Weight | 4 (3 - 4) | 2 (2 - 3) | < 0.0001
Transmission | 19 (100%) | 0 (0%) | < 0.0001
Gears | < 0.0001
3 | 15 (79%) | 0 (0%) |
4 | 4 (21%) | 8 (62%) |
5 | 0 (0%) | 5 (38%) |
Car color | 0.60
black | 8 (42%) | 3 (23%) |
red | 5 (26%) | 4 (31%) |
silver | 6 (32%) | 6 (46%) |

## Custom p-values

By popular demand I’ve expanded with the option of having custom p-values. All you need to do is to provide a function that takes two values and exports a single p-value. There are several prepared functions that you can use or use as a template for your own p-value function. They all start with `getPval..`, e.g. `getPvalKruskal`. You can either provide a single function or you can set the defaults depending on the variable type:

    mtcars %>%
      getDescriptionStatsBy(mpg,
                            wt,
                            am,
                            gear,
                            col,
                            by = am,
                            continuous_fn = describeMedian,
                            digits = 0,
                            header_count = TRUE,
                            statistics = list(continuous = getPvalChiSq,
                                              factor = getPvalChiSq,
                                              proportion = getPvalFisher)) %>%
      addHtmlTableStyle(pos.caption = "bottom") %>%
      htmlTable(caption  = "P-values generated from a custom set of values")

| Automatic No. 19 | Manual No. 13 | P-value
--- | --- | --- | ---
Gas | 17 (15 - 19) | 23 (21 - 30) | 0.27
Weight | 4 (3 - 4) | 2 (2 - 3) | 0.37
Transmission | 19 (100%) | 0 (0%) | < 0.0001
Gears | < 0.0001
3 | 15 (79%) | 0 (0%) |
4 | 4 (21%) | 8 (62%) |
5 | 0 (0%) | 5 (38%) |
Car color | 0.52
black | 8 (42%) | 3 (23%) |
red | 5 (26%) | 4 (31%) |
silver | 6 (32%) | 6 (46%) |
P-values generated from a custom set of values

# Using `mergeDesc`

Prior to Gmisc v3.0 `mergeDesc` was the best way to quickly assemble a “Table 1”:

    getTable1Stats <- function(x, digits = 0, ...){
      getDescriptionStatsBy(x = x,
                            by = mtcars$am,
                            digits = digits,
                            continuous_fn = describeMedian,
                            header_count = TRUE,
                            ...)

    }

    t1 <- list()
    t1[["Gas"]] <-
      getTable1Stats(mtcars$mpg)

    t1[["Weight&dagger;"]] <-
      getTable1Stats(mtcars$wt)

    t1[["Color"]] <-
      getTable1Stats(mtcars$col)

    # If we want to use the labels set in the beginning
    # we add an element without a name
    t1 <- c(t1,
            list(getTable1Stats(mtcars$gear)))

    mergeDesc(t1,
              htmlTable_args = list(caption  = "Basic descriptive statistics from the mtcars dataset",
                                    tfoot = "&dagger; The weight is in 10<sup>3</sup> kg"))

Basic descriptive statistics from the mtcars dataset
| Automatic No. 19 | Manual No. 13
--- | --- | ---
Gas | 17 (15 - 19) | 23 (21 - 30)
Weight† | 4 (3 - 4) | 2 (2 - 3)
Color
black | 8 (42%) | 3 (23%)
red | 5 (26%) | 4 (31%)
silver | 6 (32%) | 6 (46%)
Gears
3 | 15 (79%) | 0 (0%)
4 | 4 (21%) | 8 (62%)
5 | 0 (0%) | 5 (38%)
† The weight is in 103 kg