rope_range: Find Default Equivalence (ROPE) Region Bounds

In bayestestR: Understand and Describe Bayesian Models and Posterior Distributions

Find Default Equivalence (ROPE) Region Bounds

Description

This function attempts at automatically finding suitable "default" values for the Region Of Practical Equivalence (ROPE).

Usage

rope_range(x, ...)

## Default S3 method:
rope_range(x, verbose = TRUE, ...)

Arguments

x	A stanreg, brmsfit or BFBayesFactor object.
...	Currently not used.
verbose	Toggle warnings.

Details

Kruschke (2018) suggests that the region of practical equivalence could be set, by default, to a range from -0.1 to 0.1 of a standardized parameter (negligible effect size according to Cohen, 1988).

• For linear models (lm), this can be generalised to -0.1 * SD_y, 0.1 * SD_y.

  \item For **logistic models**, the parameters expressed in log odds
  ratio can be converted to standardized difference through the formula
  \ifelse{html}{\out{π/√(3)}}{\eqn{\pi/\sqrt{3}}}, resulting in a
  range of `-0.18` to `0.18`.
  
  \item For other models with **binary outcome**, it is strongly
  recommended to manually specify the rope argument. Currently, the same
  default is applied that for logistic models.
  
  \item For models from **count data**, the residual variance is used.
  This is a rather experimental threshold and is probably often similar to
  `-0.1, 0.1`, but should be used with care!
  
  \item For **t-tests**, the standard deviation of the response is
  used, similarly to linear models (see above).
  
  \item For **correlations**, `-0.05, 0.05` is used, i.e., half
  the value of a negligible correlation as suggested by Cohen's (1988)
  rules of thumb.
  
  \item For all other models, `-0.1, 0.1` is used to determine the
  ROPE limits, but it is strongly advised to specify it manually.
  

References

Kruschke, J. K. (2018). Rejecting or accepting parameter values in Bayesian estimation. Advances in Methods and Practices in Psychological Science, 1(2), 270-280. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1177/2515245918771304")}.

Examples

## Not run: 
if (require("rstanarm")) {
  model <- stan_glm(
    mpg ~ wt + gear,
    data = mtcars,
    chains = 2,
    iter = 200,
    refresh = 0
  )
  rope_range(model)

  model <- stan_glm(vs ~ mpg, data = mtcars, family = "binomial", refresh = 0)
  rope_range(model)
}

if (require("brms")) {
  model <- brm(mpg ~ wt + cyl, data = mtcars)
  rope_range(model)
}

if (require("BayesFactor")) {
  model <- ttestBF(mtcars[mtcars$vs == 1, "mpg"], mtcars[mtcars$vs == 0, "mpg"])
  rope_range(model)

  model <- lmBF(mpg ~ vs, data = mtcars)
  rope_range(model)
}

## End(Not run)

bayestestR documentation built on April 7, 2023, 5:09 p.m.