The Wald confidence interval for the difference between paired probabilities

with the pseudo-frequency adjustment suggested by Agresti and Min (2005)

Described in Chapter 8 "The Paired 2x2 Table"

Wald_CI_AgrestiMin_paired_2x2(n, alpha = 0.05)

Arguments

n: the observed counts (a 2x2 matrix)
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.

Table orientation

In most study designs, rows designate a grouping of the data, for instance, into treatment or exposure groups, while the columns indicate a dichotomous outcome, usually with the first column representing the outcome of interest. This designation of rows and columns may not be relevant in all study designs, please see the introduction to chapter 8 for details.

Examples

# Airway hyper-responsiveness before and after stem cell transplantation
# (Bentur et al., 2009)
Wald_CI_AgrestiMin_paired_2x2(bentur_2009)
#> The Wald CI with Agresti-Min adjustment: estimate = -0.2857 (95% CI -0.4932 to -0.0285)

# Complete response before and after consolidation therapy
# (Cavo et al., 2012)
Wald_CI_AgrestiMin_paired_2x2(cavo_2012)
#> The Wald CI with Agresti-Min adjustment: estimate = -0.0621 (95% CI -0.1182 to -0.0045)