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  • How to perform CMH test in survey data using Stata?

    Besides, is there anyone knows the differences between -emh- and -opartchi-? Seems that they can do the same thing but the results are not exactly same.
    Thanks in advance!

  • #2
    Cochrane-Mantel-Haenszel? By survey data, do you mean complex sampling structure?

    Comment


    • #3

      The FAQ warn against asking two different questions, one not a natural extension of the other, because answers to each will confuse the thread. Ask the second question separately.


      svy: clogit is the survey alternative to the Mantel-Haenszel test. Every member of a matched set must have the same survey weight. If that's not the case, then give all the controls of each case (1:n matching) the case's sampling weight.

      Brendan, the "C" in "CMH" is William Cochran, who published a version in 1954. The MH innovation was to consider both row and column totals in each 2 x 2 table as fixed, which led to a finite population correction of the variance. If I remember correctly, the classic Snedecor and Cochran text "Statistical Methods" presented the C and MH versions in different sections, perhaps in different chapters.

      References:

      Cochran, WG. 1954. Some methods for strengthening the common chi square tests. Biometrics 10, no. 4: 417-451.

      Mantel,.N., and Haenszel, W., "Statistical aspects of the analysis of data from retrospective studies of disease," Journal of the National Cancer Institute, 22 (1959), 719-48.
      Last edited by Steve Samuels; 10 May 2014, 12:45.
      Steve Samuels
      Statistical Consulting
      [email protected]

      Stata 14.2

      Comment


      • #4
        Originally posted by Steve Samuels View Post
        The FAQ warn against asking two different questions, one not a natural extension of the other, because answers to each will confuse the thread. Ask the second question separately.


        svy: clogit is the survey alternative to the Mantel-Haenszel test. Every member of a matched set must have the same survey weight. If that's not the case, then give all the controls of each case (1:n matching) the case's sampling weight.

        Brendan, the "C" in "CMH" is William Cochran, who published a version in 1954. The MH innovation was to consider both row and column totals in each 2 x 2 table as fixed, which led to a finite population correction of the variance. If I remember correctly, the classic Snedecor and Cochran text "Statistical Methods" presented the C and MH versions in different sections, perhaps in different chapters.

        References:

        Cochran, WG. 1954. Some methods for strengthening the common chi square tests. Biometrics 10, no. 4: 417-451.

        Mantel,.N., and Haenszel, W., "Statistical aspects of the analysis of data from retrospective studies of disease," Journal of the National Cancer Institute, 22 (1959), 719-48.
        Thanks, Steve.

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