T1EpSceptical | R Documentation |
The overall type-I error rate of the sceptical p-value is computed for a specified level, the relative variance, and the alternative hypothesis.
T1EpSceptical(
level,
c,
alternative = c("one.sided", "two.sided"),
type = c("golden", "nominal", "controlled")
)
level |
Threshold for the calibrated sceptical p-value. Default is 0.025. |
c |
Numeric vector of variance ratios of the original and replication effect estimates. This is usually the ratio of the sample size of the replication study to the sample size of the original study. |
alternative |
Specifies if |
type |
Type of recalibration. Recalibration type can be either "golden" (default), "nominal" (no recalibration), or "controlled". |
T1EpSceptical
is the vectorized version of
the internal function .T1EpSceptical_
.
Vectorize
is used to vectorize the function.
The overall type-I error rate.
Leonhard Held, Samuel Pawel
Held, L. (2020). The harmonic mean chi-squared test to substantiate scientific findings. Journal of the Royal Statistical Society: Series C (Applied Statistics), 69, 697-708. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1111/rssc.12410")}
Held, L., Micheloud, C., Pawel, S. (2022). The assessment of replication success based on relative effect size. The Annals of Applied Statistics. 16:706-720. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1214/21-AOAS1502")}
Micheloud, C., Balabdaoui, F., Held, L. (2023). Beyond the two-trials rule: Type-I error control and sample size planning with the sceptical p-value. https://arxiv.org/abs/2207.00464
pSceptical
, levelSceptical
, PPpSceptical
## compare type-I error rate for different recalibration types
types <- c("nominal", "golden", "controlled")
c <- seq(0.2, 5, by = 0.05)
t1 <- sapply(X = types, FUN = function(t) {
T1EpSceptical(type = t, c = c, alternative = "one.sided", level = 0.025)
})
matplot(x = c, y = t1*100, type = "l", lty = 1, lwd = 2, las = 1, log = "x",
xlab = bquote(italic(c)), ylab = "Type-I error (%)", xlim = c(0.2, 5))
legend("topright", legend = types, lty = 1, lwd = 2, col = seq_along(types))
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