sump: Combine p-values using the sum of p (Edgington's) method

In metap: Meta-Analysis of Significance Values

Combine p-values using the sum of p (Edgington's) method

Description

Combine \mjseqnp-values using the sum p method\loadmathjax

Usage

sump(p)
## S3 method for class 'sump'
print(x, ...)

Arguments

p	\sigvec
x	An object of class ‘sump’
...	Other arguments to be passed through

Details

Defined as \mjdeqn\frac(\sum_i=1^k p_i)^kk! - k \choose 1\frac(\sum_i=1^k p_i - 1)^kk! + k \choose 2\frac(\sum_i=1^k p_i - 2)^kk! ... ((sum p) ^ k) / k! - (k-1)C(1) ((sum p - 1) ^ k) / k! + (k-2)C(2) ((sum p - 2) ^ k) / k! ... where there are \mjseqnk studies and the series continues until the numerator becomes negative \insertCiteedgington72ametap.

Some authors use a simpler version \mjdeqn\frac(\sum_i=1^k p_i)^kk!((sum p) ^ k) / k! but this can be very conservative when \mjeqn\sum_i=1^k p_i > 1sum p > 1. There seems no particular need to use this method but it is returned as the value of conservativep for use in checking published values.

\lele

two A warning is given when the internal calculations are likely to have been subject to numerical error and an alternative method should be used to check the result.

\plotmethod

Value

An object of class ‘sump’ and ‘metap’, a list with entries

p	The transformed sum of the \mjseqnp-values
conservativep	See details
validp	The input vector with illegal values removed

Author(s)

Michael Dewey

References

\insertAllCited

See Also

See also plotp

Examples

data(dat.metap)
edgington <- dat.metap$edgington
sump(edgington) # p = 0.097

metap documentation built on Oct. 9, 2023, 5:10 p.m.