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censored.fit

Fit Null Distribution To Censored Data by Maximum Likelihood


Description

censored.fit fits a null distribution to censored data.

fndr.cutoff finds a suitable cutoff point based on the (approximate) false non-discovery rate (FNDR).

Usage

censored.fit(x, cutoff, statistic=c("normal", "correlation", "pvalue", "studentt"))
fndr.cutoff(x, statistic=c("normal", "correlation", "pvalue", "studentt"))

Arguments

x

vector of test statistics.

cutoff

truncation point (this may a single value or a vector).

statistic

type of statistic - normal, correlation, or student t.

Details

As null model truncated normal, truncated student t or a truncated correlation density is assumed. The truncation point is specified by the cutoff parameter. All data points whose absolute value are large than the cutoff point are ignored when fitting the truncated null model via maximum likelihood. The total number of data points is only used to estimate the fraction of null values eta0.

Value

censored.fit returns a matrix whose rows contain the estimated parameters and corresponding errors for each cutoff point.

fndr.cutoff returns a tentative cutoff point.

See Also

Examples

# load "fdrtool" library
library("fdrtool")

# simulate normal data
sd.true = 2.232
n = 5000
z = rnorm(n, sd=sd.true)
censored.fit(z, c(2,3,5), statistic="normal")


# simulate contaminated mixture of correlation distribution
r = rcor0(700, kappa=10)
u1 = runif(200, min=-1, max=-0.7)
u2 = runif(200, min=0.7, max=1)
rc = c(r, u1, u2)

censored.fit(r, 0.7, statistic="correlation")
censored.fit(rc, 0.7, statistic="correlation")

# pvalue example
data(pvalues)
co = fndr.cutoff(pvalues, statistic="pvalue")
co
censored.fit(pvalues, cutoff=co, statistic="pvalue")

fdrtool

Estimation of (Local) False Discovery Rates and Higher Criticism

v1.2.16
GPL (>= 3)
Authors
Bernd Klaus and Korbinian Strimmer.
Initial release
2020-12-23

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