psychmeta (version 2.7.0)

limits_tau: Confidence limits of tau

Description

Note that this interval does not incorporate uncertainty in artifact estimates, so the interval will be somewhat conservative when applied to individual-correction or artifact-distribution meta-analyses.

Usage

limits_tau(
  var_es,
  var_pre,
  k,
  method = c("profile_var_es", "profile_Q", "normal_logQ"),
  conf_level = 0.95,
  var_unbiased = TRUE
)

Value

The confidence limits of tau

Arguments

var_es

The observed variance of effect sizes.

var_pre

The predicted variance of effect sizes due to artifacts.

k

The number of studies in a meta-analysis.

method

Which method to use to estimate the limits. Options are profile_var_es for a profile-likelihood interval assuming \(\sigma^{2}_es ~ \chi^{2}(k-1)\), profile_Q for a profile-likelihood interval assuming \(Q ~ \chi^{2}(k-1, \lambda)\), \(\lambda = \sum_{i=1}{k}{w_i(\theta - \bar{\theta})^{2}}\), and normal_logQ for a delta method assuming log(Q) follows a standard normal distribution.

conf_level

Confidence level.

var_unbiased

Are variances computed using the unbiased (TRUE) or maximum likelihood (FALSE) estimator?

Examples

limits_tau(var_es = 0.008372902, var_pre = 0.004778935, k = 20)