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# st: RE: RE: unexplained discrepancy between

 From Nick Cox To "'statalist@hsphsun2.harvard.edu'" Subject st: RE: RE: unexplained discrepancy between Date Wed, 21 Dec 2011 18:46:29 +0000

```No; belay that. You are using the same median variables in both comparisons according to this code.

So, what I said looks wrong. Sorry,

Nick
n.j.cox@durham.ac.uk

-----Original Message-----
From: owner-statalist@hsphsun2.harvard.edu [mailto:owner-statalist@hsphsun2.harvard.edu] On Behalf Of Nick Cox
Sent: 21 December 2011 18:22
To: 'statalist@hsphsun2.harvard.edu'
Subject: st: RE: unexplained discrepancy between

At the heart of this are comparisons that include a test for equality with the median. In principle the median will always be one of the observed values if the sample size is odd but it may not be if the sample size is even. So in principle looking for equality with the median clearly does make sense.

However, looking at the code for -egen, median()- makes it evident that that function is doing its calculations with a -double- version of the variable supplied; you make clear that you are working with -float-s so I suspect therefore that there is a minor problem of precision here as your other operations are not guaranteed to produce identical results.

In general it is optimistic to do any testing for equality with a non-integer value unless you maintain absolute consistency of variable types throughout.

A secondary issue is that your code can be cut right down. On the evidence here you don't need a separate variable holding the median for each variable.

foreach x in min max mean {
local var cnratio_`x'_p
qui su `var', detail
gen cn`x'hilo = cond(missing(`var'), . , `var' > r(p50))
}

That aside, if you -list- the values for which the indicator is 1 one way and 0 the other way I suspect that you will find that they are very close indeed and that all that has happened is that a knife-edge decision went different ways depending on a few bits, perhaps even one.

Nick
n.j.cox@durham.ac.uk

Steve Nakoneshny

We are working with a dataset of biomarker expression data. A colleague created some dummy variables using the median value as a dichotomous cut point for high / low expression. We also felt that this process would lend itself extremely well to using a loop. Here is the code we wrote / executed:

--- begin code ---

local y cnratio_min_p cnratio_max_p cnratio_mean_p		//create the median cut points for each min, max and mean ratio

foreach x of local y	{
egen `x'_median = median(`x')
label variable `x'_median "Median Cut Point `x'"
}

*** create hilo vars with loop ***
local x cnminhilo cnmaxhilo cnmeanhilo

foreach var of local x	{
gen `var' = .
foreach val in `y' {
replace `var' = 1 if `val' > `val'_median & `val' < .
replace `var' = 0 if `val' <= `val'_median
}
}

*** Here's the old school way to create hilo variables for each of cn min max and mean ***
gen cnminhilo_jcd = .
replace cnminhilo_jcd=1 if cnratio_min_p > cnratio_min_p_median & cnratio_min_p < .
replace cnminhilo_jcd=0 if cnratio_min_p <= cnratio_min_p_median
label variable cnminhilo_jcd "CN Ratio > Median Cutpoint of Min"
tab cnminhilo_jcd,m

gen cnmaxhilo_jcd = .
replace cnmaxhilo_jcd =1 if cnratio_max_p > cnratio_max_p_median & cnratio_max_p < .
replace cnmaxhilo_jcd =0 if cnratio_max_p <= cnratio_max_p_median
label variable cnmaxhilo_jcd "CN Ratio > Median Cutpoint of Max"
tab cnmaxhilo_jcd,m

gen cnmeanhilo_jcd = .
replace cnmeanhilo_jcd =1 if cnratio_mean_p > cnratio_mean_p_median & cnratio_mean_p < .
replace cnmeanhilo_jcd =0 if cnratio_mean_p <= cnratio_mean_p_median
label variable cnmeanhilo_jcd "CN Ratio > Median Cutpoint of Mean"
tab cnmeanhilo_jcd,m

--- end code ---

We then crosstabbed the results from each method to validate the results and found some discrepancies. Here is the output:

--- begin code ---

. tab cnminhilo cnminhilo_jcd,m

|  CN Ratio > Median Cutpoint of
|               Min
cnminhilo |         0          1          . |     Total
-----------+---------------------------------+----------
0 |        51          6          0 |        57
1 |         6         50          0 |        56
. |         0          0         13 |        13
-----------+---------------------------------+----------
Total |        57         56         13 |       126

. tab cnmaxhilo cnmaxhilo_jcd,m

|  CN Ratio > Median Cutpoint of
|               Max
cnmaxhilo |         0          1          . |     Total
-----------+---------------------------------+----------
0 |        50          7          0 |        57
1 |         7         49          0 |        56
. |         0          0         13 |        13
-----------+---------------------------------+----------
Total |        57         56         13 |       126

. tab cnmeanhilo cnmeanhilo_jcd,m

|  CN Ratio > Median Cutpoint of
|               Mean
cnmeanhilo |         0          1          . |     Total
-----------+---------------------------------+----------
0 |        57          0          0 |        57
1 |         0         56          0 |        56
. |         0          0         13 |        13
-----------+---------------------------------+----------
Total |        57         56         13 |       126

--- end code ---

We then explored the data and found that the 6 obs where cnminhilo==1 & cnminhilo_jcd==0 were incorrectly coded in cnminhilo. The same held true for the other discrepancies in cnminhilo and cnmaxhilo.

We've looked at the syntax of the loop and cannot see any differences between it and the longer hand-coding method used. We're at a loss to explain why and how these discrepancies arose. If it helps at all, all variables used here are stored as floats and we're using Stata/IC 11.2 for Mac. Hopefully someone can help enlighten us.

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