CMHNPA (version 1.1.1)

unconditional_CMH: Unconditional CMH Test

Description

unconditional_CMH returns the test statistics and p-values for the equivalent unconditional CMH tests.

Usage

unconditional_CMH(
  treatment,
  response,
  strata = NULL,
  U = NULL,
  V = NULL,
  a_ij = NULL,
  b_hj = NULL,
  test_OPA = TRUE,
  test_GA = TRUE,
  test_M = TRUE,
  test_C = TRUE
)

Value

The unconditional CMH test results.

Arguments

treatment

a factor vector representing the treatment applied.

response

a factor vector giving the response category for the corresponding elements of treatment.

strata

a factor vector giving the strata or block for the corresponding elements of treatment and response.

U

The degree of assessment relating to the treatment.

V

The degree of assessment relating to the response.

a_ij

a t x b matrix of treatment scores. The matrix allows for different scores to be used over different strata. If a t x 1 vector of scores is provided, it is assumed that the scores are the same across strata and a warning provided.

b_hj

a c x b matrix of response scores. The matrix allows for different scores to be used over different strata. If a c x 1 vector of scores is provided, it is assumed that the scores are the same across strata and a warning provided.

test_OPA

TRUE or FALSE flag to include the calculation of the OPA test values.

test_GA

TRUE or FALSE flag to include the calculation of the GA test values.

test_M

TRUE or FALSE flag to include the calculation of the MS test values. If response scores are not included, this test will not be performed.

test_C

TRUE or FALSE flag to include the calculation of the C test values. If response scores and treatment scores are not included, this test will not be performed.

References

Rayner, J.C.W and Livingston, G. C. (2022). An Introduction to Cochran-Mantel-Haenszel Testing and Nonparametric ANOVA. Wiley.

Examples

attach(job_satisfaction)
a_ij = matrix(rep(c(3,10,20,35),2),nrow=4)
b_hj = matrix(rep(c(1,3,4,5),2),nrow=4)
unconditional_CMH(treatment = income, response = satisfaction,
strata = gender, U = 2, V = 2, a_ij = a_ij, b_hj = b_hj)