Hi Luis,

(Let's keep R-help in the loop for the benefit of others.)

On 2015-05-08 10:25, Luis Fernando García wrote:

Thanks a lot for your replies Henry!

Your answer was specially a bless! Many thanks this was an issue which
was breaking my head.

I have another couple of questions, may be you could help me. For post
hoc comparison I was planning to run a McNemar test with a bonferroni
correction, but wanted to be sure my approach is correct.

It's an OK approach, I guess, but you should use the Holm correction rather than Bonferroni. (Holm dominates Bonferroni and is valid under the same arbitrary assumptions.)

The "classical" approach, and as suggested in Cochran (1950), would be to partition the chi-squared statistic into components of interest.

In a more general approach, a test of all the post-hoc comparisons is performed simultaneously. This is very efficient, in terms of power, since it takes account of the correlation between the test statistics. Ignoring such dependencies may result in "strange" results, due to loss of power, where none of the partial null hypotheses are rejected even though the global null hypothesis is rejected. Unfortunately, I'm not aware of any publicly available software that let's you do this. In theory, 'coin' should be able to, and there has even been some work done in this direction, but it's currently unfinished.


Henric Winell




Sorry if I annoy you with this remaining question.

Thanks in advance!

2015-05-07 8:03 GMT-03:00 Henric Winell <nilsson.hen...@gmail.com
<mailto:nilsson.hen...@gmail.com>>:

    On 2015-05-07 09:15, Jim Lemon wrote:

        Hi Luis,
        Try this page:

        http://www.r-bloggers.com/cochran-q-test-for-k-related-samples-in-r/

        Jim


    Cochran's Q test is a marginal homogeneity test, and such tests can
    be performed by the 'mh_test' function in the 'coin' package.  The
    following replicates the result in the blog post

     > library("coin")
     >
     > dta <- data.frame(
    +     method    = factor(rep(LETTERS[1:4], 6)),
    +     repellent = factor(c(1, 1, 0, 0,
    +                          1, 1, 0, 1,
    +                          1, 0, 0, 0,
    +                          1, 1, 1, 0,
    +                          1, 1, 0, 1,
    +                          1, 1, 0, 1)),
    +     fabric    = gl(6, 4, labels = as.roman(1:6))
    + )
     >
     > mh_test(repellent ~ method | fabric, data = dta)

             Asymptotic Marginal-Homogeneity Test

    data:  repellent by
              method (A, B, C, D)
              stratified by fabric
    chi-squared = 9.3158, df = 3, p-value = 0.02537


    and uses the asymptotic approximation to compute the p-value.  The
    'coin' package also allows you to approximate the exact null
    distribution using Monte Carlo methods:

     > set.seed(123)
     > mh_test(repellent ~ method | fabric, data = dta,
    +         distribution = approximate(B = 10000L))

             Approximative Marginal-Homogeneity Test

    data:  repellent by
              method (A, B, C, D)
              stratified by fabric
    chi-squared = 9.3158, p-value = 0.0202


    For future reference, 'mh_test' is fairly general and handles both
    matched pairs or matched sets.  So, the well-known tests due
    McNemar, Cochran, Stuart(-Maxwell) and Madansky are just special cases.

    For more general symmetry test problems, the 'coin' package offers
    the 'symmetry_test' function and this can be used to perform, e.g.,
    multivariate marginal homogeneity tests like the multivariate
    McNemar test (Klingenberg and Agresti, 2006) or the multivariate
    Friedman test (Gerig, 1969).


    Henric






        On Thu, May 7, 2015 at 4:59 PM, Luis Fernando García
        <luysgar...@gmail.com <mailto:luysgar...@gmail.com>> wrote:

            Dear R Experts,

            May be this is a basic question for you, but it is something
            I need really
            urgently. I need to perform a Chi Square analysis for more
            than two groups
            of paired observations. It seems to be ok For Cochran test.
            Unfortunately I
            have not found info about  this test in R, except for
            dealing with outliers
            which is not my aim. I am looking for something like this
            https://www.medcalc.org/manual/cochranq.php

            I found a video to perform this analysis in R, but was not
            specially
            useful. Does some of you know have some info about how to
            make this
            analysis in R?

            Thanks in advance!

                      [[alternative HTML version deleted]]

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