The DEBIT (descriptive binary) test

debit() tests summaries of binary data for consistency: If the mean and the 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