ci: Confidence/Credible/Compatibility Interval (CI)

In easystats/bayestestR: Understand and Describe Bayesian Models and Posterior Distributions

Confidence/Credible/Compatibility Interval (CI)

Description

Compute Confidence/Credible/Compatibility Intervals (CI) or Support Intervals (SI) for Bayesian and frequentist models. The Documentation is accessible for:

Usage

ci(x, ...)

## S3 method for class 'numeric'
ci(x, ci = 0.95, method = "ETI", verbose = TRUE, BF = 1, ...)

## S3 method for class 'data.frame'
ci(x, ci = 0.95, method = "ETI", verbose = TRUE, BF = 1, ...)

## S3 method for class 'sim.merMod'
ci(
  x,
  ci = 0.95,
  method = "ETI",
  effects = c("fixed", "random", "all"),
  parameters = NULL,
  verbose = TRUE,
  ...
)

## S3 method for class 'sim'
ci(x, ci = 0.95, method = "ETI", parameters = NULL, verbose = TRUE, ...)

## S3 method for class 'stanreg'
ci(
  x,
  ci = 0.95,
  method = "ETI",
  effects = c("fixed", "random", "all"),
  component = c("location", "all", "conditional", "smooth_terms", "sigma",
    "distributional", "auxiliary"),
  parameters = NULL,
  verbose = TRUE,
  BF = 1,
  ...
)

## S3 method for class 'brmsfit'
ci(
  x,
  ci = 0.95,
  method = "ETI",
  effects = c("fixed", "random", "all"),
  component = c("conditional", "zi", "zero_inflated", "all"),
  parameters = NULL,
  verbose = TRUE,
  BF = 1,
  ...
)

## S3 method for class 'BFBayesFactor'
ci(x, ci = 0.95, method = "ETI", verbose = TRUE, BF = 1, ...)

## S3 method for class 'MCMCglmm'
ci(x, ci = 0.95, method = "ETI", verbose = TRUE, ...)

Arguments

x	A stanreg or brmsfit model, or a vector representing a posterior distribution.
...	Currently not used.
ci	Value or vector of probability of the CI (between 0 and 1) to be estimated. Default to 0.95 (⁠95%⁠).
method	Can be "ETI" (default), "HDI", "BCI", "SPI" or "SI".
verbose	Toggle off warnings.
BF	The amount of support required to be included in the support interval.
effects	Should results for fixed effects, random effects or both be returned? Only applies to mixed models. May be abbreviated.
parameters	Regular expression pattern that describes the parameters that should be returned. Meta-parameters (like lp__ or prior_) are filtered by default, so only parameters that typically appear in the summary() are returned. Use parameters to select specific parameters for the output.
component	Should results for all parameters, parameters for the conditional model or the zero-inflated part of the model be returned? May be abbreviated. Only applies to brms-models.

Details

• Bayesian models

• Frequentist models

Value

A data frame with following columns:

• Parameter The model parameter(s), if x is a model-object. If x is a vector, this column is missing.

• CI The probability of the credible interval.

• CI_low, CI_high The lower and upper credible interval limits for the parameters.

Note

When it comes to interpretation, we recommend thinking of the CI in terms of an "uncertainty" or "compatibility" interval, the latter being defined as "Given any value in the interval and the background assumptions, the data should not seem very surprising" (Gelman & Greenland 2019).

There is also a plot()-method implemented in the see-package.

References

Gelman A, Greenland S. Are confidence intervals better termed "uncertainty intervals"? BMJ 2019;l5381. 10.1136/bmj.l5381

See Also

Other ci: bci(), cwi(), eti(), hdi(), si(), spi()

Examples

library(bayestestR)

posterior <- rnorm(1000)
ci(posterior, method = "ETI")
ci(posterior, method = "HDI")

df <- data.frame(replicate(4, rnorm(100)))
ci(df, method = "ETI", ci = c(0.80, 0.89, 0.95))
ci(df, method = "HDI", ci = c(0.80, 0.89, 0.95))

model <- suppressWarnings(
  stan_glm(mpg ~ wt, data = mtcars, chains = 2, iter = 200, refresh = 0)
)
ci(model, method = "ETI", ci = c(0.80, 0.89))
ci(model, method = "HDI", ci = c(0.80, 0.89))


bf <- ttestBF(x = rnorm(100, 1, 1))
ci(bf, method = "ETI")
ci(bf, method = "HDI")


model <- emtrends(model, ~1, "wt", data = mtcars)
ci(model, method = "ETI")
ci(model, method = "HDI")

easystats/bayestestR documentation built on April 6, 2024, 11:41 p.m.