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 intervals
Bootstrap confidence interval
Real value of
Distributional
Moments
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 interval
Fixed (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 interval
Random (standard normal distribution values , ; half normal distribution , ; skew normal with negative skewness , ; skew normal with positive skewness , ; )