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Usage guidance

2022-09-06

Introduction

DescrTab2 is the replacement of the DescrTab package. It supports a variety of different customization options and can be used in .Rmd files in conjunction with knitr.

Preamble settings

DescrTab2 works in your R-console, as well as in .Rmd documents corresponding to output formats of the type pdf_documument, html_document and word_document. It even supports YAML-headers with multiple output formats! For example, if your YAML-header looks like the example below, DescrTab2 should automagically detect the output format depending on the rendering option you choose from the dropdown menue (the arrow next to the “Knit” button on the top menue bar).

---
title: "DescrTab2 tutorial"
output:
  word_document: default
  pdf_document: default
  html_document: default
---

Required LaTeX packages should be loaded automatically as well when rendering as a pdf.

Getting started

Make sure you include the DescrTab2 library by typing

library(DescrTab2)

somewhere in the document before you use it. You are now ready to go!

We will use two tidyverse libraries for data manipulation and a the following dataset for instructive purposes:

library(dplyr, warn.conflicts = FALSE)
library(forcats)
set.seed(123)
dat <- iris[, c("Species", "Sepal.Length")] %>%
  mutate(animal = c("Mammal", "Fish") %>% rep(75) %>% factor()) %>%
  mutate(food = c("fries", "wedges") %>% sample(150, TRUE) %>% factor())
head(dat)
#>   Species Sepal.Length animal   food
#> 1  setosa          5.1 Mammal  fries
#> 2  setosa          4.9   Fish  fries
#> 3  setosa          4.7 Mammal  fries
#> 4  setosa          4.6   Fish wedges
#> 5  setosa          5.0 Mammal  fries
#> 6  setosa          5.4   Fish wedges

Producing beautiful descriptive tables is now as easy as typing:

descr(dat)
Variables
Total
p
(N=150)
Species
setosa 50 (33%) >0.999chi1
versicolor 50 (33%)
virginica 50 (33%)
Sepal.Length
N 150 <0.001tt1
mean 5.8
sd 0.83
median 5.8
Q1 - Q3 5.1 – 6.4
min - max 4.3 – 7.9
animal
Fish 75 (50%) >0.999chi1
Mammal 75 (50%)
food
fries 76 (51%) 0.870chi1
wedges 74 (49%)
chi1 Chi-squared goodness-of-fit test
tt1 Student’s one-sample t-test

Accessing table elements

The object returned from the descr function is basically just a named list. You may be interested in referencing certain summary statistics from the table in your document. To do this, you can save the list returned by descr:

my_table <- descr(dat)

You can then access the elements of the list using the $ operator.

my_table$variables$Sepal.Length$results$Total$mean
#> NULL

Rstudios autocomplete suggestions are very helpful when navigating this list.

The print function returns a formatted version of this list, which you can also save and access using the same syntax.

my_table <- descr(dat) %>% print(silent=TRUE)

Specifying a group

Use the group option to specify the name of a grouping variable in your data:

descr(dat, "Species")
Variables
setosa
versicolor
virginica
Total
p
(N=50) (N=50) (N=50) (N=150)
Sepal.Length
N 50 50 50 150 <0.001F
mean 5 5.9 6.6 5.8
sd 0.35 0.52 0.64 0.83
median 5 5.9 6.5 5.8
Q1 - Q3 4.8 – 5.2 5.6 – 6.3 6.2 – 6.9 5.1 – 6.4
min - max 4.3 – 5.8 4.9 – 7 4.9 – 7.9 4.3 – 7.9
animal
Fish 25 (50%) 25 (50%) 25 (50%) 75 (50%) >0.999chi2
Mammal 25 (50%) 25 (50%) 25 (50%) 75 (50%)
food
fries 30 (60%) 27 (54%) 19 (38%) 76 (51%) 0.075chi2
wedges 20 (40%) 23 (46%) 31 (62%) 74 (49%)
F F-test (ANOVA)
chi2 Pearson’s chi-squared test

Assigning labels

Use the group_labels option to assign group labels and the var_labels option to assign variable labels:

descr(dat, "Species", group_labels=list(setosa="My custom group label"), var_labels = list(Sepal.Length = "My custom variable label"))
Variables
My custom group label
versicolor
virginica
Total
p
(N=50) (N=50) (N=50) (N=150)
My custom variable label
N 50 50 50 150 <0.001F
mean 5 5.9 6.6 5.8
sd 0.35 0.52 0.64 0.83
median 5 5.9 6.5 5.8
Q1 - Q3 4.8 – 5.2 5.6 – 6.3 6.2 – 6.9 5.1 – 6.4
min - max 4.3 – 5.8 4.9 – 7 4.9 – 7.9 4.3 – 7.9
animal
Fish 25 (50%) 25 (50%) 25 (50%) 75 (50%) >0.999chi2
Mammal 25 (50%) 25 (50%) 25 (50%) 75 (50%)
food
fries 30 (60%) 27 (54%) 19 (38%) 76 (51%) 0.075chi2
wedges 20 (40%) 23 (46%) 31 (62%) 74 (49%)
F F-test (ANOVA)
chi2 Pearson’s chi-squared test

Assigning a table caption

Use the caption member of the format_options argument to assign a table caption:

descr(dat, "Species", format_options = list(caption="Description of our example dataset."))
Description of our example dataset.
Variables
setosa
versicolor
virginica
Total
p
(N=50) (N=50) (N=50) (N=150)
Sepal.Length
N 50 50 50 150 <0.001F
mean 5 5.9 6.6 5.8
sd 0.35 0.52 0.64 0.83
median 5 5.9 6.5 5.8
Q1 - Q3 4.8 – 5.2 5.6 – 6.3 6.2 – 6.9 5.1 – 6.4
min - max 4.3 – 5.8 4.9 – 7 4.9 – 7.9 4.3 – 7.9
animal
Fish 25 (50%) 25 (50%) 25 (50%) 75 (50%) >0.999chi2
Mammal 25 (50%) 25 (50%) 25 (50%) 75 (50%)
food
fries 30 (60%) 27 (54%) 19 (38%) 76 (51%) 0.075chi2
wedges 20 (40%) 23 (46%) 31 (62%) 74 (49%)
F F-test (ANOVA)
chi2 Pearson’s chi-squared test

Confidence intervals for two group comparisons

For 2-group comparisons, decrtab automatically calculates confidence intervals for differences in effect measures:

descr(dat, "animal")
Variables
Fish
Mammal
Total
p
CI
(N=75) (N=75) (N=150)
Species
setosa 25 (33%) 25 (33%) 50 (33%) >0.999chi2
versicolor 25 (33%) 25 (33%) 50 (33%)
virginica 25 (33%) 25 (33%) 50 (33%)
Sepal.Length
N 75 75 150 0.961tt2 [-0.26, 0.27]t
mean 5.8 5.8 5.8
sd 0.86 0.81 0.83
median 5.7 5.8 5.8
Q1 - Q3 5.1 – 6.4 5.1 – 6.5 5.1 – 6.4
min - max 4.3 – 7.9 4.4 – 7.7 4.3 – 7.9
food
fries 37 (49%) 39 (52%) 76 (51%) 0.744chi2 [-0.19, 0.13]PWa
wedges 38 (51%) 36 (48%) 74 (49%)
chi2 Pearson’s chi-squared test
tt2 Welch’s two-sample t-test
t CI for difference in means derived from the t-distribution
PWa CI for difference in proportions derived from a normal (“Wald”) approximation

Different tests

There are a lot of different tests available. Check out the test_choice vignette for details: https://imbi-heidelberg.github.io/DescrTab2/articles/b_test_choice_tree_pdf.pdf

Here are some different tests in action:

descr(dat %>% select(-"Species"), "animal", test_options = list(exact=TRUE, nonparametric=TRUE))
Variables
Fish
Mammal
Total
p
CI
(N=75) (N=75) (N=150)
Sepal.Length
N 75 75 150 0.870MWU [-0.3, 0.3]HL
mean 5.8 5.8 5.8
sd 0.86 0.81 0.83
median 5.7 5.8 5.8
Q1 - Q3 5.1 – 6.4 5.1 – 6.5 5.1 – 6.4
min - max 4.3 – 7.9 4.4 – 7.7 4.3 – 7.9
food
fries 37 (49%) 39 (52%) 76 (51%) 0.803Bolo [-0.14, 0.18]PUnc
wedges 38 (51%) 36 (48%) 74 (49%)
MWU Mann-Whitney’s U test
Bolo Boschloo’s test
HL CI for the Hodges-Lehmann estimator
PUnc CI for difference in proportions derived from an unconditional exact test
descr(dat %>% select(c("Species", "Sepal.Length")), "Species", test_options = list(nonparametric=TRUE))
Variables
setosa
versicolor
virginica
Total
p
(N=50) (N=50) (N=50) (N=150)
Sepal.Length
N 50 50 50 150 <0.001KW
mean 5 5.9 6.6 5.8
sd 0.35 0.52 0.64 0.83
median 5 5.9 6.5 5.8
Q1 - Q3 4.8 – 5.2 5.6 – 6.3 6.2 – 6.9 5.1 – 6.4
min - max 4.3 – 5.8 4.9 – 7 4.9 – 7.9 4.3 – 7.9
KW Kruskal-Wallis’s one-way ANOVA

Paired observations

In situations with paired data, the group variable usually denotes the timing of the measurement (e.g. “before” and “after” or “time 1”, “time 2”, etc.). In these scenarios, you need an additional index variable that specifies which observations from the different timepoints should be paired. The test_options =list(paired=TRUE, indices = <Character name of index variable name or vector of indices>) option can be used to specify the pairing indices, see the example below. DescrTab2 only works with data in “long format”, see e.g. ?reshape or ?tidyr::pivot_longer for information on how to transoform your data from wide to long format.

descr(dat %>% mutate(animal = fct_recode(animal, Before="Fish", After="Mammal")) %>% select(-"Species"), "animal", test_options = list(paired=TRUE, indices=rep(1:75, each=2)))
#> You specified paired tests and did not explicitly
#> specify format_options$print_Total. print_Total is set to FALSE.
#> Warning in sig_test(var, group, test_options, test_override, var_name): Confidence intervals for differences in proportions ignore the paired structure of the data.
#> Use Exact McNemar's test if you want confidence intervals which use the test statistic of the
#> exact McNemar's test.
Variables
Before
After
p
CI
(N=75) (N=75)
Sepal.Length
N 75 75 0.937tpar [-0.16, 0.18]t
mean 5.8 5.8
sd 0.86 0.81
median 5.7 5.8
Q1 - Q3 5.1 – 6.4 5.1 – 6.5
min - max 4.3 – 7.9 4.4 – 7.7
food
fries 37 (49%) 39 (52%) 0.877McN [-0.19, 0.13]PWa
wedges 38 (51%) 36 (48%)
tpar Student’s paired t-test
McN McNemar’s test
t CI for difference in means derived from the t-distribution
PWa CI for difference in proportions derived from a normal (“Wald”) approximation

descr(dat %>% mutate(animal = fct_recode(animal, Before="Fish", After="Mammal"), idx = rep(1:75, each=2)) %>% select(-"Species"), "animal", test_options = list(paired=TRUE, indices="idx" ))
#> You specified paired tests and did not explicitly
#> specify format_options$print_Total. print_Total is set to FALSE.
#> Warning in sig_test(var, group, test_options, test_override, var_name): Confidence intervals for differences in proportions ignore the paired structure of the data.
#> Use Exact McNemar's test if you want confidence intervals which use the test statistic of the
#> exact McNemar's test.
Variables
Before
After
p
CI
(N=75) (N=75)
Sepal.Length
N 75 75 0.937tpar [-0.16, 0.18]t
mean 5.8 5.8
sd 0.86 0.81
median 5.7 5.8
Q1 - Q3 5.1 – 6.4 5.1 – 6.5
min - max 4.3 – 7.9 4.4 – 7.7
food
fries 37 (49%) 39 (52%) 0.877McN [-0.19, 0.13]PWa
wedges 38 (51%) 36 (48%)
tpar Student’s paired t-test
McN McNemar’s test
t CI for difference in means derived from the t-distribution
PWa CI for difference in proportions derived from a normal (“Wald”) approximation

Significant digits

Every summary statistic in DescrTab2 is formatted by a corresponding formatting function. You can exchange these formatting functions as you please:

descr(dat, "Species", format_summary_stats = list(mean=function(x)formatC(x, digits = 4)) )
Variables
setosa
versicolor
virginica
Total
p
(N=50) (N=50) (N=50) (N=150)
Sepal.Length
N 50 50 50 150 <0.001F
mean 5.006 5.936 6.588 5.843
sd 0.35 0.52 0.64 0.83
median 5 5.9 6.5 5.8
Q1 - Q3 4.8 – 5.2 5.6 – 6.3 6.2 – 6.9 5.1 – 6.4
min - max 4.3 – 5.8 4.9 – 7 4.9 – 7.9 4.3 – 7.9
animal
Fish 25 (50%) 25 (50%) 25 (50%) 75 (50%) >0.999chi2
Mammal 25 (50%) 25 (50%) 25 (50%) 75 (50%)
food
fries 30 (60%) 27 (54%) 19 (38%) 76 (51%) 0.075chi2
wedges 20 (40%) 23 (46%) 31 (62%) 74 (49%)
F F-test (ANOVA)
chi2 Pearson’s chi-squared test

Omitting summary statistics

Let’s say you don’t want to calculate quantiles for your numeric variables. You can specify the summary_stats_cont option to include all summary statistics but quantiles:

descr(dat, "Species", summary_stats_cont = list(N = DescrTab2:::.N, Nmiss = DescrTab2:::.Nmiss, mean =
    DescrTab2:::.mean, sd = DescrTab2:::.sd, median = DescrTab2:::.median, min = DescrTab2:::.min, max =
    DescrTab2:::.max))
Variables
setosa
versicolor
virginica
Total
p
(N=50) (N=50) (N=50) (N=150)
Sepal.Length
N 50 50 50 150 <0.001F
mean 5 5.9 6.6 5.8
sd 0.35 0.52 0.64 0.83
median 5 5.9 6.5 5.8
min - max 4.3 – 5.8 4.9 – 7 4.9 – 7.9 4.3 – 7.9
animal
Fish 25 (50%) 25 (50%) 25 (50%) 75 (50%) >0.999chi2
Mammal 25 (50%) 25 (50%) 25 (50%) 75 (50%)
food
fries 30 (60%) 27 (54%) 19 (38%) 76 (51%) 0.075chi2
wedges 20 (40%) 23 (46%) 31 (62%) 74 (49%)
F F-test (ANOVA)
chi2 Pearson’s chi-squared test

Adding summary statistics

Let’s say you have a categorical variable, but for some reason it’s levels are numerals and you want to calculate the mean. No problem:

# Create example dataset
dat2 <- iris
dat2$cat_var <- c(1,2) %>% sample(150, TRUE) %>% factor()
dat2 <- dat2[, c("Species", "cat_var")]

descr(dat2, "Species", summary_stats_cat=list(mean=DescrTab2:::.factormean))
Variables
setosa
versicolor
virginica
Total
p
(N=50) (N=50) (N=50) (N=150)
cat_var
mean 1.5 1.6 1.4 1.5 0.083chi2
1 27 (54%) 20 (40%) 31 (62%) 78 (52%)
2 23 (46%) 30 (60%) 19 (38%) 72 (48%)
chi2 Pearson’s chi-squared test

Combining mean and sd

Use the format_options = list(combine_mean_sd=TRUE) option:

descr(dat, "Species", format_options = c(combine_mean_sd=TRUE))
Variables
setosa
versicolor
virginica
Total
p
(N=50) (N=50) (N=50) (N=150)
Sepal.Length
N 50 50 50 150 <0.001F
mean ± sd 5 ± 0.35 5.9 ± 0.52 6.6 ± 0.64 5.8 ± 0.83
median 5 5.9 6.5 5.8
Q1 - Q3 4.8 – 5.2 5.6 – 6.3 6.2 – 6.9 5.1 – 6.4
min - max 4.3 – 5.8 4.9 – 7 4.9 – 7.9 4.3 – 7.9
animal
Fish 25 (50%) 25 (50%) 25 (50%) 75 (50%) >0.999chi2
Mammal 25 (50%) 25 (50%) 25 (50%) 75 (50%)
food
fries 30 (60%) 27 (54%) 19 (38%) 76 (51%) 0.075chi2
wedges 20 (40%) 23 (46%) 31 (62%) 74 (49%)
F F-test (ANOVA)
chi2 Pearson’s chi-squared test

Omitting p-values

You can declare the format_options = list(print_p = FALSE) option to omit p-values:

descr(dat, "animal", format_options = list(print_p = FALSE))
Variables
Fish
Mammal
Total
CI
(N=75) (N=75) (N=150)
Species
setosa 25 (33%) 25 (33%) 50 (33%)
versicolor 25 (33%) 25 (33%) 50 (33%)
virginica 25 (33%) 25 (33%) 50 (33%)
Sepal.Length
N 75 75 150 [-0.26, 0.27]t
mean 5.8 5.8 5.8
sd 0.86 0.81 0.83
median 5.7 5.8 5.8
Q1 - Q3 5.1 – 6.4 5.1 – 6.5 5.1 – 6.4
min - max 4.3 – 7.9 4.4 – 7.7 4.3 – 7.9
food
fries 37 (49%) 39 (52%) 76 (51%) [-0.19, 0.13]PWa
wedges 38 (51%) 36 (48%) 74 (49%)
t CI for difference in means derived from the t-distribution
PWa CI for difference in proportions derived from a normal (“Wald”) approximation

Similarily for Confidence intervals:

descr(dat, "animal", format_options = list(print_CI = FALSE))
Variables
Fish
Mammal
Total
p
(N=75) (N=75) (N=150)
Species
setosa 25 (33%) 25 (33%) 50 (33%) >0.999chi2
versicolor 25 (33%) 25 (33%) 50 (33%)
virginica 25 (33%) 25 (33%) 50 (33%)
Sepal.Length
N 75 75 150 0.961tt2
mean 5.8 5.8 5.8
sd 0.86 0.81 0.83
median 5.7 5.8 5.8
Q1 - Q3 5.1 – 6.4 5.1 – 6.5 5.1 – 6.4
min - max 4.3 – 7.9 4.4 – 7.7 4.3 – 7.9
food
fries 37 (49%) 39 (52%) 76 (51%) 0.744chi2
wedges 38 (51%) 36 (48%) 74 (49%)
chi2 Pearson’s chi-squared test
tt2 Welch’s two-sample t-test

Controling options on a per-variable level

You can use the var_options list to control formatting and test options on a per-variable basis. Let’s say in the dataset iris, we want that only the Sepal.Length variable has more digits in the mean and a nonparametric test:

descr(iris, "Species", var_options = list(Sepal.Length = list(
  format_summary_stats = list(
    mean = function(x)
      formatC(x, digits = 4)
  ),
  test_options = c(nonparametric = TRUE)
)))
Variables
setosa
versicolor
virginica
Total
p
(N=50) (N=50) (N=50) (N=150)
Sepal.Length
N 50 50 50 150 <0.001KW
mean 5.006 5.936 6.588 5.843
sd 0.35 0.52 0.64 0.83
median 5 5.9 6.5 5.8
Q1 - Q3 4.8 – 5.2 5.6 – 6.3 6.2 – 6.9 5.1 – 6.4
min - max 4.3 – 5.8 4.9 – 7 4.9 – 7.9 4.3 – 7.9
Sepal.Width
N 50 50 50 150 <0.001F
mean 3.4 2.8 3 3.1
sd 0.38 0.31 0.32 0.44
median 3.4 2.8 3 3
Q1 - Q3 3.2 – 3.7 2.5 – 3 2.8 – 3.2 2.8 – 3.3
min - max 2.3 – 4.4 2 – 3.4 2.2 – 3.8 2 – 4.4
Petal.Length
N 50 50 50 150 <0.001F
mean 1.5 4.3 5.6 3.8
sd 0.17 0.47 0.55 1.8
median 1.5 4.3 5.5 4.3
Q1 - Q3 1.4 – 1.6 4 – 4.6 5.1 – 5.9 1.6 – 5.1
min - max 1 – 1.9 3 – 5.1 4.5 – 6.9 1 – 6.9
Petal.Width
N 50 50 50 150 <0.001F
mean 0.25 1.3 2 1.2
sd 0.11 0.2 0.27 0.76
median 0.2 1.3 2 1.3
Q1 - Q3 0.2 – 0.3 1.2 – 1.5 1.8 – 2.3 0.3 – 1.8
min - max 0.1 – 0.6 1 – 1.8 1.4 – 2.5 0.1 – 2.5
KW Kruskal-Wallis’s one-way ANOVA
F F-test (ANOVA)

Use user defined test statistics

DescrTab2 has many predefined significance tests, but sometimes you may need to use a custom test. In this case, you can use the test_override option in test_options (or as a part of per variable options, see above). To do so, test_override must be a list with at least 3 members:

custom_ttest <- list(
  name = "custom t-test",
  abbreviation = "ct",
  p = function(var) {
    return(t.test(var, alternative = "greater")$p.value)
  }
)

descr(iris %>% select(-Species), test_options = list(test_override = custom_ttest))
Variables
Total
p
(N=150)
Sepal.Length
N 150 <0.001ct
mean 5.8
sd 0.83
median 5.8
Q1 - Q3 5.1 – 6.4
min - max 4.3 – 7.9
Sepal.Width
N 150 <0.001ct
mean 3.1
sd 0.44
median 3
Q1 - Q3 2.8 – 3.3
min - max 2 – 4.4
Petal.Length
N 150 <0.001ct
mean 3.8
sd 1.8
median 4.3
Q1 - Q3 1.6 – 5.1
min - max 1 – 6.9
Petal.Width
N 150 <0.001ct
mean 1.2
sd 0.76
median 1.3
Q1 - Q3 0.3 – 1.8
min - max 0.1 – 2.5
ct custom t-test

Supress the last factor level

If you have a lot of binary factors, you may want to suppress one of the factor levels to save space. A common use case for this practise is when you analyse questionaires with a great deal of “yes” / “no” items. You can do so by setting the omit_factor_level option to either "first" or "last".

descr(factor(c("a", "b")), format_options=list(omit_factor_level = "last"))
#> Warning in (function (x, y = NULL, correct = TRUE, p = rep(1/length(x), : Chi-
#> squared approximation may be incorrect
Variables
Total
p
(N=2)
value
a 1 (50%) >0.999chi1
chi1 Chi-squared goodness-of-fit test

Confidence intervals as summary statistics

Sometimes it may be a good idea to show the confidence intervals as summary statistics. To do so, you can supply appropriate summary statistics for the confidence intervals with corresponding formatting functions. DescrTab2 offers the following predefined CI functions:

summary_stats_cat <- list(
  CIL = DescrTab2:::.factor_firstlevel_CIlower,
  CIU = DescrTab2:::.factor_firstlevel_CIupper)

summary_stats_cont  <-  list(
  N = DescrTab2:::.N,
  Nmiss = DescrTab2:::.Nmiss,
  mean = DescrTab2:::.mean,
  sd = DescrTab2:::.sd,
  CILM = DescrTab2:::.meanCIlower,
  CIUM = DescrTab2:::.meanCIupper)

format_summary_stats <- list(
  CIL = scales::label_percent(),
  CIU = scales::label_percent(),
  CILM = function(x) format(x, digits = 2, scientific = 3),
  CIUM = function(x) format(x, digits = 2, scientific = 3),
  N = function(x) {
    format(x, digits = 2, scientific = 3)
  },
  mean = function(x) {
    format(x, digits = 2, scientific = 3)
  },
  sd = function(x) {
    format(x, digits = 2, scientific = 3)
  },
  CI = function(x) {
    format(x, digits = 2, scientific = 3)
  }
)

reshape_rows <- list(
  `CI` = list(
    args = c("CIL", "CIU"),
    fun = function(CIL, CIU) {
      paste0("[", CIL, ", ", CIU, "]")
    }
  ),
  `CI` = list(
    args = c("CILM", "CIUM"),
    fun = function(CILM, CIUM) {
      paste0("[", CILM, ", ", CIUM, "]")
    }
  )
)

set.seed(123)
dat <- tibble(a_factor = factor(c(rep("a", 70), rep("b", 30))),
              a_numeric = rnorm(100),
              group = sample(c("Trt", "Ctrl"), 100, TRUE)
)

descr(dat, "group",
  format_options=list(omit_factor_level = "last",
  categories_first_summary_stats_second = FALSE,
  combine_mean_sd = TRUE
  ),
  summary_stats_cat = summary_stats_cat,
  summary_stats_cont = summary_stats_cont,
  reshape_rows = reshape_rows,
  format_summary_stats = format_summary_stats)
Variables
Ctrl
Trt
Total
p
CI
(N=49) (N=51) (N=100)
a_factor
CI [63%, 88%] [48%, 76%] [60%, 79%] 0.106chi2 [-0.029, 0.32]PWa
a 38 (78%) 32 (63%) 70 (70%)
a_numeric
N 49 51 100 0.122tt2 [-0.077, 0.64]t
mean ± sd 0.23 ± 0.88 -0.048 ± 0.93 0.09 ± 0.91
CI [-0.019, 0.49] [-0.31, 0.21] [-0.091, 0.27]
chi2 Pearson’s chi-squared test
tt2 Welch’s two-sample t-test
PWa CI for difference in proportions derived from a normal (“Wald”) approximation
t CI for difference in means derived from the t-distribution

These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.