Table 3.1, page 54. The command tab3way can be downloaded from the internet by typing search tab3way in the command line (see How can I use the search command to search for programs and get additional help? for more information about using search).
use https://stats.idre.ucla.edu/stat/stata/examples/icda/deathp, clear
tab3way victim deathp defendant [fw=count], coltot rowp
Frequency weights are based on the expression: count
Table entries are cell frequencies and row percentages
Missing categories ignored
--------------------------------------------
| defendant and deathp
| ------ 1 ----- ------ 2 -----
victim | 0 1 0 1
----------+---------------------------------
1 | 414 53 37 11
| 88.65 11.35 77.08 22.92
|
2 | 16 139 4
| 100.00 97.20 2.80
|
TOTAL | 430 53 176 15
| 89.03 10.97 92.15 7.85
--------------------------------------------
Table 3.2 on page 58 and calculation on page 59.
use https://stats.idre.ucla.edu/stat/stata/examples/icda/clinic, clear
tab3way treat clinic response [fw=count] , rowtot
Frequency weights are based on the expression: count
Table entries are cell frequencies
Missing categories ignored
------------------------------------------------------
| response and clinic
| -------- 0 -------- -------- 1 --------
treat | 0 1 TOTAL 0 1 TOTAL
----------+-------------------------------------------
0 | 18 2 20 12 8 20
1 | 12 8 20 8 32 40
------------------------------------------------------
cc response treat [fw=count], by(clinic)
clinic | OR [95% Conf. Interval] M-H Weight
-----------------+-------------------------------------------------
0 | 1 .266931 3.66141 2.88 (exact)
1 | 1 .0872055 6.599538 1.28 (exact)
-----------------+-------------------------------------------------
Crude | 2 .8134474 4.921018 (exact)
M-H combined | 1 .3825288 2.614182
-------------------------------------------------------------------
Test of homogeneity (M-H) chi2(1) = 0.00 Pr>chi2 = 1.0000
Test that combined OR = 1:
Mantel-Haenszel chi2(1) = 0.00
Pr>chi2 = 1.0000
cc treat clinic [fw=count], by(response)
response | OR [95% Conf. Interval] M-H Weight
-----------------+-------------------------------------------------
0 | 6 .9222592 64.61686 .6 (exact)
1 | 6 1.587285 23.15472 1.066667 (exact)
-----------------+-------------------------------------------------
Crude | 6 2.264456 16.37396 (exact)
M-H combined | 6 2.259288 15.93423
-------------------------------------------------------------------
Test of homogeneity (M-H) chi2(1) = 0.00 Pr>chi2 = 1.0000
Test that combined OR = 1:
Mantel-Haenszel chi2(1) = 14.07
Pr>chi2 = 0.0002
use https://stats.idre.ucla.edu/stat/stata/examples/icda/deathp, clear
cc defendant deathp [fw=count], by(victim)
victim | OR [95% Conf. Interval] M-H Weight
-----------------+-------------------------------------------------
| .4306105 .2003285 .9955573 8.842718 (exact)
white | 0 0 8.894517 .4025157 (exact)
-----------------+-------------------------------------------------
Crude | 1.446202 .7776757 2.836998 (exact)
M-H combined | .4118627 .1991173 .8519141
-------------------------------------------------------------------
Test of homogeneity (B-D) chi2(1) = 0.20 Pr>chi2 = 0.6517
Test that combined OR = 1:
Mantel-Haenszel chi2(1) = 5.80
Pr>chi2 = 0.0161
Section 3.2, page 60. Cochran-Mantel-Haenszel Methods using Chinese smoking and lung cancer data set.
use https://stats.idre.ucla.edu/stat/stata/examples/icda/cancer, clear
cc cancer smoke [fw=count], by(center)
center | OR [95% Conf. Interval] M-H Weight
-----------------+-------------------------------------------------
1 | 2.196 1.307112 3.710289 10.86957 (exact)
2 | 2.142962 1.840433 2.495332 117.909 (exact)
3 | 2.175265 1.838162 2.574387 96.75867 (exact)
4 | 2.850341 1.939615 4.204899 17.02389 (exact)
5 | 2.319148 1.759581 3.060508 35.62906 (exact)
6 | 1.587963 1.076653 2.344985 22.11024 (exact)
7 | 2.369146 1.092397 5.476443 5.112676 (exact)
8 | 2.00321 1.04818 3.883171 7.476 (exact)
-----------------+-------------------------------------------------
Crude | 2.135552 1.948418 2.340687 (exact)
M-H combined | 2.174482 1.984002 2.383249
-------------------------------------------------------------------
Test of homogeneity (M-H) chi2(7) = 5.19 Pr>chi2 = 0.6372
Test that combined OR = 1:
Mantel-Haenszel chi2(1) = 280.14
Pr>chi2 = 0.0000