This function computes the Bonett-Price standard error of a paired-samples proportion difference using the frequency counts from a 2 x 2 contingency table. The effect size estimate and standard error output from this function can be used as input in the meta.ave.gen, meta.lc.gen, and meta.lm.gen functions in applications where compatible proportion differences from a combination of 2-group and paired-samples studies are used in the meta-analysis.

se.prop.ps(f00, f01, f10, f11)

Arguments

f00

number of participants with y = 0 and x = 0

f01

number of participants with y = 0 and x = 1

f10

number of participants with y = 1 and x = 0

f11

number of participants with y = 1 and x = 1

Value

Returns a one-row matrix:

  • Estimate - estimated proportion difference

  • SE - standard error

References

Bonett DG, Price RM (2012). “Adjusted wald confidence interval for a difference of binomial proportions based on paired data.” Journal of Educational and Behavioral Statistics, 37(4), 479--488. ISSN 1076-9986, doi:10.3102/1076998611411915 .

Examples

se.prop.ps(16, 64, 5, 15)
#>                          Estimate         SE
#> Proportion difference:  0.5784314 0.05953213

# Should return:
#                          Estimate         SE
# Proportion difference:  0.5784314 0.05953213