The Wald test and CI for a common ratio of probabilities

based on either the Mantel-Haenszel or inverse variance estimate

Described in Chapter 10 "Stratified 2x2 Tables and Meta-Analysis"

Wald_test_and_CI_common_ratio_stratified_2x2(
  n,
  estimatetype = "MH",
  alpha = 0.05
)

Arguments

n: the observed table (a 2x2xk matrix, where k is the number of strata)
estimatetype: Mantel-Haenszel or inverse variance estimate ('MH' or 'IV')
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.

Examples

# Smoking and lung cancer (Doll and Hill, 1950)
Wald_test_and_CI_common_ratio_stratified_2x2(doll_hill_1950)
#> The Wald test (MH): P = 0.00007, Z =  3.975
#> The Wald CI (MH): phihat = 2.4751 (95% CI 1.5831 to 3.8698)

# Prophylactice use of Lidocaine in myocardial infarction (Hine et al., 1989)
Wald_test_and_CI_common_ratio_stratified_2x2(hine_1989)
#> The Wald test (MH): P = 0.03883, Z =  2.066
#> The Wald CI (MH): phihat = 1.7345 (95% CI 1.0287 to 2.9247)