Research Article

Publication Bias in Meta-Analysis: Confidence Intervals for Rosenthal’s Fail-Safe Number

Table 1

Schematic table for simulation plan.

Variance formula for normal approximation confidence intervalsBootstrap
confidence interval
Real
value of
DistributionalMoments

studies
Draw from ,
,
SN,
SN
Fixed (standard normal distribution values , ; half normal distribution , ; skew normal with negative skewness , ; skew normal with positive skewness , )
  
Fixed


  
Using the we compute the and respectively the standard error needed to compute the confidence intervalFixed (standard normal distribution values , ; half normal distribution , ; skew normal with negative skewness , ; skew normal with positive skewness , )   
Random (standard normal distribution values , ; half normal distribution , ; skew normal with negative skewness , ; skew normal with positive skewness , ; )  
  
Using the we compute the and respectively the standard error needed to compute the confidence intervalRandom (standard normal distribution values , ; half normal distribution , ; skew normal with negative skewness , ; skew normal with positive skewness , ; )