BF10.bin.test: Bayes Factor for a Bayesian One-Proportion Test

Description

Calculate the Bayes factor (BF10) for a single-proportion test, either against a point null or an interval null hypothesis.

BF10.bin.test(
  x,
  n,
  alpha,
  beta,
  h0,
  scale,
  prior_analysis,
  alternative,
  ROPE = NULL
)

An object of class "BFvalue_bin" containing:

bf10: Bayes factor in favor of the alternative hypothesis.
type: Test type ("one-proportion").
x: Number of successes.
n: Sample size.
h0: Null proportion value.
analysis_h1: List describing the analysis prior, containing prior (prior distribution), alpha (alpha parameter), beta (beta parameter), and scale (scale parameter).
alternative: the direction of the alternative hypothesis.
ROPE: interval null bounds (if specified).
p.value: p-value.

x: Numeric integer. Observed number of successes (non-negative integer scalar, must be \(\le n\)).
n: Numeric integer. Sample size (positive integer scalar).
alpha: Numeric scalar. Shape parameter of the analysis beta prior under the alternative hypothesis (required if prior_analysis = "beta").
beta: Numeric scalar. Shape parameter of the analysis beta prior under the alternative hypothesis (required if prior_analysis = "beta").
h0: Numeric scalar. Null proportion value (numeric scalar between 0.1 and 0.9).
scale: Numeric scalar. Scale parameter for the analysis prior (only used if prior_analysis = "Moment").
prior_analysis: character. the analysis prior under the alternative hypothesis: "beta" (stretched beta) or "Moment" (normal-moment prior).
alternative: character. Hypothesis being tested: two-sided ("two.sided"), right-sided ("greater"), or left-sided ("less").
ROPE: Numeric vector. Optional numeric vector specifying bounds for an interval null; used if interval BF is calculated.

BF10.bin.test(
 x = 42,
 n = 52,
 h0 = 0.5,
 prior_analysis = "beta",
 alternative = "greater",
 alpha = 1,
 beta = 1)

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