The sgpv
package contains functions to calculate second-generation p-values, their associated delta-gaps, and the false discovery risk or false confirmation risk for an alternative or null finding (SGPV = 0 or SGPV = 1) when assumptions are made about the distributions over the null and alternative spaces. It also contains several functions for a variety of plotting types relevant to SGPV usage.
Version 1.1.0 updated November 2020, with newly added functions plotman
and plotsgpower
.
From CRAN:
From GitHub:
The sgpvalue()
function calculates the second-generation p-value and delta-gap (if applicable) for uncertainty intervals with lower bounds est.lo
and upper bounds est.hi
and an indifference zone (i.e. interval null hypothesis) of (null.lo
, null.hi
). Note that this example is in terms of odds ratios, and the second-generation p-value should be calculated on the “symmetric” scale, i.e. log odds ratios in this case.
library(sgpv)
lb = log(c(1.05, 1.3, 0.97))
ub = log(c(1.8, 1.8, 1.02))
sgpvalue(est.lo = lb, est.hi = ub, null.lo = log(1/1.1), null.hi = log(1.1))
# $p.delta
# [1] 0.1220227 0.0000000 1.0000000
# $delta.gap
# [1] NA 1.752741 NA
Introductory paper appearing in the special issue of The American Statisician:
Jeffrey D. Blume, Robert A. Greevy, Valerie F. Welty, Jeffrey R. Smith & William D. Dupont (2019) An Introduction to Second-Generation p-Values, The American Statistician, 73:sup1, 157-167, https://doi.org/10.1080/00031305.2018.1537893
Original proposal appearing in PLoS ONE:
Blume JD, D’Agostino McGowan L, Dupont WD, Greevy RA Jr. (2018). Second-generation p-values: Improved rigor, reproducibility, & transparency in statistical analyses. PLoS ONE 13(3): e0188299. https://doi.org/10.1371/journal.pone.0188299