The DEBIT (descriptive binary) test

debit() tests summaries of binary data for consistency: If the mean and the sample standard deviation of binary data are given, are they consistent with the reported sample size?

The function is vectorized, but it is recommended to use debit_map() for testing multiple cases.

Usage

debit(
  x,
  sd,
  n,
  formula = "mean_n",
  rounding = "up_or_down",
  threshold = 5,
  symmetric = FALSE
)

Arguments

x: String. Mean of a binary distribution.
sd: String. Sample standard deviation of a binary distribution.
n: Integer. Total sample size.
formula: String. Formula used to compute the SD of the binary distribution. Currently, only the default, "mean_n", is supported.
rounding: String. Rounding method or methods to be used for reconstructing the SD values to which sd will be compared. Default is "up_or_down" (from 5). See vignette("rounding-options").
threshold: Integer. If rounding is set to "up_from", "down_from", or "up_from_or_down_from", set threshold to the number from which the reconstructed values should then be rounded up or down. Otherwise irrelevant. Default is 5.
symmetric: Logical. Set symmetric to TRUE if the rounding of negative numbers with "up", "down", "up_from", or "down_from" should mirror that of positive numbers so that their absolute values are always equal. Default is FALSE.

Value

Logical. TRUE if x, sd, and n are mutually consistent, FALSE if not.

References

Heathers, James A. J., and Brown, Nicholas J. L. 2019. DEBIT: A Simple Consistency Test For Binary Data. https://osf.io/5vb3u/.

Examples