The likelihood ratio test for the binomial probability (pi)

Source: R/LR_test_1x2.R

The likelihood ratio test for the binomial probability (pi) H_0: pi = pi0 vs H_A: pi ~= pi0 (two-sided). Described in Chapter 2 "The 1x2 Table and the Binomial Distribution".

LR_test_1x2(X, n, pi0)

Arguments

X

the number of successes

n

the total number of observations

pi0

a given probability

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

LR_test_1x2(singh_2010["1st", "X"], singh_2010["1st", "n"], pi0 = .5)
#> The likelihood ratio test: P = 0.15276, T = 2.044 (df = 1)
LR_test_1x2(singh_2010["2nd", "X"], singh_2010["2nd", "n"], pi0 = .5)
#> The likelihood ratio test: P = 0.84377, T = 0.039 (df = 1)
LR_test_1x2(singh_2010["3rd", "X"], singh_2010["3rd", "n"], pi0 = .5)
#> The likelihood ratio test: P = 0.00243, T = 9.192 (df = 1)
LR_test_1x2(singh_2010["4th", "X"], singh_2010["4th", "n"], pi0 = .5)
#> The likelihood ratio test: P = 0.00141, T = 10.191 (df = 1)
LR_test_1x2(ligarden_2010["X"], ligarden_2010["n"], pi0 = .5)
#> The likelihood ratio test: P = 0.00944, T = 6.738 (df = 1)