Mantel-Haenszel pooled odds ratio, given four parallel cell vectors

An alias. The estimator is Mhors; the audit at mamh is the same method as mhors and it is the same estimator with the same Robins-Breslow-Greenland variance. Carrying the arithmetic twice would mean two copies that agree with each other at 1e-9 forever and are never checked against anything else, so this only adapts the calling convention: four vectors in, one matrix of strata out.

Usage

Mamh(a, b, c, d, confidence = 0.95)

Arguments

a, b, c, d

Per-stratum cells: exposed cases, exposed non-cases, unexposed cases, unexposed non-cases.

confidence

Confidence level.

Value

Whatever Mhors returns, unchanged.

Details

Formula: OR_MH = sum(a_k d_k/n_k) / sum(b_k c_k/n_k) – Mantel and Haenszel (1959); Robins, Breslow and Greenland (1986).

References

Mantel, N. and Haenszel, W. (1959). Journal of the National Cancer Institute 22(4):719-748. doi:10.1093/jnci/22.4.719 .

See also

Mhors

Examples

Mamh(a = c(1, 2, 3, 4, 5, 6, 7, 8), b = c(1, 2, 3, 4, 5, 6, 7, 8),
  c = c(1, 2, 3, 4, 5, 6, 7, 8), d = c(1, 2, 3, 4, 5, 6, 7, 8))
#> $measure
#> [1] "OR_MH"
#> 
#> $estimate
#> [1] 1
#> 
#> $se
#> [1] 0.3333333
#> 
#> $ci_lower
#> [1] 0.5203148
#> 
#> $ci_upper
#> [1] 1.921914
#> 
#> $n
#> [1] 144
#> 
#> $n_strata
#> [1] 8
#> 
#> attr(,"class")
#> [1] "morie_rich_result" "list"