The Wilson score confidence interval

Wilson_score_CI_1x2(X, n, alpha = 0.05)

Arguments

X: the number of successes
n: the total number of observations
alpha: the nominal level, e.g. 0.05 for 95% CIs

Value

An object of the contingencytables_result class, basically a subclass of base::list(). Use the utils::str() function to see the specific elements returned.

References

Reference Wilson EB (1927) Probable inference, the law of succession, and statistical inference. Journal of the American Statistical Association 22209-212

Examples

# birth order 1, Singh et al. (2010)
Wilson_score_CI_1x2(singh_2010["1st", "X"], singh_2010["1st", "n"])
#> The Wilson score CI: estimate = 0.469 (95% CI 0.427 to 0.5115)
# birth order 2, Singh et al. (2010)
Wilson_score_CI_1x2(singh_2010["2nd", "X"], singh_2010["2nd", "n"])
#> The Wilson score CI: estimate = 0.4951 (95% CI 0.4471 to 0.5432)
# birth order 3, Singh et al. (2010)
Wilson_score_CI_1x2(singh_2010["3rd", "X"], singh_2010["3rd", "n"])
#> The Wilson score CI: estimate = 0.6168 (95% CI 0.5412 to 0.6871)
# birth order 4, Singh et al. (2010)
with(singh_2010["4th", ], Wilson_score_CI_1x2(X, n)) # alternative syntax
#> The Wilson score CI: estimate = 0.7333 (95% CI 0.5896 to 0.8404)
# Ligarden (2010)
Wilson_score_CI_1x2(ligarden_2010["X"], ligarden_2010["n"])
#> The Wilson score CI: estimate = 0.8125 (95% CI 0.5699 to 0.9341)