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Computes the Bayes factor BF\(_{01}\) comparing the point-null \(H_0: p_1 = p_2\) to the alternative \(H_1: p_1 \neq p_2\) in a two-arm binomial setting with Beta priors.

Usage

twoarmbinbf01(
  y1,
  y2,
  n1,
  n2,
  a_0_a = 1,
  b_0_a = 1,
  a_1_a = 1,
  b_1_a = 1,
  a_2_a = 1,
  b_2_a = 1
)

Arguments

y1

Number of successes in arm 1 (control).

y2

Number of successes in arm 2 (treatment).

n1

Sample size in arm 1.

n2

Sample size in arm 2.

a_0_a, b_0_a

Shape parameters of the Beta prior for the common-\(p\) under the null model (analysis prior).

a_1_a, b_1_a

Shape parameters of the Beta prior for \(p_1\) under the alternative (analysis prior).

a_2_a, b_2_a

Shape parameters of the Beta prior for \(p_2\) under the alternative (analysis prior).

Value

Numeric scalar, the Bayes factor BF\(_{01}\).

Examples

twoarmbinbf01(10, 20, 30, 30)
#> [1] 0.1202496