ORMH {fmsb}

Calculate pooled odds ratio and its confidence intervals with Mantel-Haenszel's method

Description

Calculate pooled odds ratio and its confidence intervals with Mantel-Haenszel's method.

Usage

 ORMH(TBL, conf.level=0.95) 

Arguments

TBL

A matrix with 4 columns. The first column is the number of exposed cases. The second column is the number of unexposed cases. The third column is the number of exposed controls. The forth column is the number of unexposed controls. Rows should be composed of different strata or studies.

conf.level

Probability for confidence intervals. Default is 0.95.

Value

estimate

Calculated point estimate of pooled odds ratio with Manterl-Haenszel's method.

conf.int

A numeric vector of length 2 to give upper/lower limit of confidence intervals.

conf.level

Simply return the value of given conf.level.

Author(s)

Minato Nakazawa [e-mail] https://minato.sip21c.org/

References

Rothman KJ (2012) Epidemiology: An Introduction. 2nd Ed., Oxford University Press, Oxford.

Examples

# Table 10-6 of Rothman's textbook (Chapter 10).
ORMH(matrix(c(3, 9, 104, 1059, 1, 3, 5, 86), 2, 4, byrow=TRUE), conf.level=0.9)
# Figure 8-4 of Rothman's textbook (Chapter 8)
# https://www.ncbi.nlm.nih.gov/pubmed/7630245
# https://www.thelancet.com/journals/lancet/article/PIIS0140-6736(05)74403-2/fulltext
TenStudies <- matrix(
 c(215, 229, 311-215, 306-229,
   38, 33, 59-38, 51-33,
   161, 174, 293-161, 293-174,
   76, 88, 164-76, 163-88,
   103, 105, 129-103, 133-105,
   65, 67, 120-65, 125-67,
   81, 75, 113-81, 110-75,
   48, 63, 160-48, 159-63,
   22, 21, 60-22, 62-21,
   56, 51, 137-56, 140-51
   ), 10, 4, byrow=TRUE)
ORMH(TenStudies)
ElevenStudies <- rbind(TenStudies, c(468, 480, 229, 205))
ORMH(ElevenStudies)