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MLE 1 - (1 - x/n)^(1/m), Clopper-Pearson, Wilson score or Wald interval, and the Bilder-Tebbs empirical Bayes estimates.

Usage

GtPrev(
  x,
  m,
  n,
  ci = c("CP", "Wald", "score"),
  alpha = 0.05,
  b_range = c(1e-04, 1000)
)

Arguments

x

Positive groups.

m

Group size.

n

Number of groups.

ci

"CP", "Wald" or "score".

alpha

Level.

b_range

Search interval for b.

Value

list(estimate, ci, theta, b_hat, eb1, eb2).

References

Bilder, C. R. & Loughin, T. M. (2025). Analysis of Categorical Data with R, 2nd ed. Eqs (6.30)-(6.31).

Examples

GtPrev(3, 7, 24)$ci
#> [1] 0.003838099 0.054324083