beta_binom_power

Computes assurance (power) using generating and audience Beta priors for
a binomial count via a Beta-Binomial predictive distribution.

Provides tools for Bayesian power analysis and assurance calculations using the statistical frameworks of 'brms' and 'INLA'. Includes simulation-based approaches, support for multiple decision rules (direction, threshold, ROPE), sequential designs, and visualisation helpers. Methods are based on Kruschke (2014, ISBN:9780124058880) "Doing Bayesian Data Analysis: A Tutorial with R, JAGS, and Stan", O'Hagan & Stevens (2001) <doi:10.1177/0272989X0102100307> "Bayesian Assessment of Sample Size for Clinical Trials of Cost-Effectiveness", Kruschke (2018) <doi:10.1177/2515245918771304> "Rejecting or Accepting Parameter Values in Bayesian Estimation", Rue et al. (2009) <doi:10.1111/j.1467-9868.2008.00700.x> "Approximate Bayesian inference for latent Gaussian models by using integrated nested Laplace approximations", and Bürkner (2017) <doi:10.18637/jss.v080.i01> "brms: An R Package for Bayesian Multilevel Models using Stan".

Tony Myers

powerbrmsINLA

Bayesian Power Analysis Using 'brms' and 'INLA'

beta_binom_power function

<dl><dt>n</dt>
<dd>Sample size (number of trials).</dd>
<dt>gen_prior_a, gen_prior_b</dt>
<dd>Generating Beta prior parameters.</dd>
<dt>aud_prior_a, aud_prior_b</dt>
<dd>Audience Beta prior parameters.</dd>
<dt>hdi_mass</dt>
<dd>HDI mass (e.g., 0.95).</dd>
<dt>rope</dt>
<dd>Length-2 numeric vector for ROPE bounds, or NULL for max-width rule.</dd>
<dt>hdi_max_width</dt>
<dd>Positive width threshold for the HDI (used if <code>rope=NULL</code>).</dd></dl>

Arguments

Analytic Assurance for Beta-Binomial Designs — beta_binom_power

<dl>

<dt>n</dt>
<dd>Sample size (number of trials).</dd>


<dt>gen_prior_a, gen_prior_b</dt>
<dd>Generating Beta prior parameters.</dd>


<dt>aud_prior_a, aud_prior_b</dt>
<dd>Audience Beta prior parameters.</dd>


<dt>hdi_mass</dt>
<dd>HDI mass (e.g., 0.95).</dd>


<dt>rope</dt>
<dd>Length-2 numeric vector for ROPE bounds, or NULL for max-width rule.</dd>


<dt>hdi_max_width</dt>
<dd>Positive width threshold for the HDI (used if <code>rope=NULL</code>).</dd>

</dl>

beta_binom_power: Analytic Assurance for Beta-Binomial Designs

Description

Usage

Value

Arguments