The Pearson chi-squared and likelihood ratio tests of a common difference

between probabilities (link = 'linear'), ratio of probabilities (link =

'log'), or odds ratio (link = 'logit')

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

Pearson_LR_test_common_effect_stratified_2x2(n, link = "logit")

Arguments

n: the observed table (a 2x2xk matrix, where k is the number of strata)
link: the link function ('linear', 'log', or 'logit')

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)
Pearson_LR_test_common_effect_stratified_2x2(doll_hill_1950)
#> The likelihood ratio test: P = 0.00000, T0 = 26.217 (df = 1)
#> The Pearson chi-squared test: P = 0.00000, T0 = 25.101 (df = 1)

# Prophylactice use of Lidocaine in myocardial infarction (Hine et al., 1989)
Pearson_LR_test_common_effect_stratified_2x2(hine_1989)
#> The likelihood ratio test: P = 0.03474, T0 = 4.458 (df = 1)
#> The Pearson chi-squared test: P = 0.03593, T0 = 4.400 (df = 1)