Use Little's (1988) test statistic to assess if data is missing completely
at random (MCAR). The null hypothesis in this test is that the data is
MCAR, and the test statistic is a chi-squared value. The example below
shows the output of `mcar_test(airquality)`

. Given the high statistic
value and low p-value, we can conclude the `airquality`

data is not
missing completely at random.

## Value

A `tibble::tibble()`

with one row and four columns:

- statistic
Chi-squared statistic for Little's test

- df
Degrees of freedom used for chi-squared statistic

- p.value
P-value for the chi-squared statistic

- missing.patterns
Number of missing data patterns in the data

## Note

Code is adapted from LittleMCAR() in the now-orphaned BaylorEdPsych package: https://rdrr.io/cran/BaylorEdPsych/man/LittleMCAR.html. Some of code is adapted from Eric Stemmler: https://web.archive.org/web/20201120030409/https://stats-bayes.com/post/2020/08/14/r-function-for-little-s-test-for-data-missing-completely-at-random/ using Maximum likelihood estimation from norm.

## References

Little, Roderick J. A. 1988. "A Test of Missing Completely at
Random for Multivariate Data with Missing Values."
*Journal of the American Statistical Association* 83 (404):
1198--1202. doi:10.1080/01621459.1988.10478722
.

## Author

Andrew Heiss, andrew@andrewheiss.com

## Examples

```
mcar_test(airquality)
#> # A tibble: 1 × 4
#> statistic df p.value missing.patterns
#> <dbl> <dbl> <dbl> <int>
#> 1 35.1 14 0.00142 4
mcar_test(oceanbuoys)
#> # A tibble: 1 × 4
#> statistic df p.value missing.patterns
#> <dbl> <dbl> <dbl> <int>
#> 1 747. 31 0 6
# If there are non-numeric columns, there will be a warning
mcar_test(riskfactors)
#> Warning: NAs introduced by coercion to integer range
#> # A tibble: 1 × 4
#> statistic df p.value missing.patterns
#> <dbl> <dbl> <dbl> <int>
#> 1 1741. 1319 3.32e-14 48
```