phacking - Sensitivity Analysis for p-Hacking in Meta-Analyses
Fits right-truncated meta-analysis (RTMA), a bias
correction for the joint effects of p-hacking (i.e.,
manipulation of results within studies to obtain significant,
positive estimates) and traditional publication bias (i.e., the
selective publication of studies with significant, positive
results) in meta-analyses [see Mathur MB (2022). "Sensitivity
analysis for p-hacking in meta-analyses."
<doi:10.31219/osf.io/ezjsx>.]. Unlike publication bias alone,
p-hacking that favors significant, positive results (termed
"affirmative") can distort the distribution of affirmative
results. To bias-correct results from affirmative studies would
require strong assumptions on the exact nature of p-hacking. In
contrast, joint p-hacking and publication bias do not distort
the distribution of published nonaffirmative results when there
is stringent p-hacking (e.g., investigators who hack always
eventually obtain an affirmative result) or when there is
stringent publication bias (e.g., nonaffirmative results from
hacked studies are never published). This means that any
published nonaffirmative results are from unhacked studies.
Under these assumptions, RTMA involves analyzing only the
published nonaffirmative results to essentially impute the full
underlying distribution of all results prior to selection due
to p-hacking and/or publication bias. The package also provides
diagnostic plots described in Mathur (2022).