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Re: st: Calculating area under a curve

From   Padmakumar Sivadasan <>
Subject   Re: st: Calculating area under a curve
Date   Fri, 4 Dec 2009 00:44:04 -0500


I realized after reading your initial post that what I was not on a
producutive path and so I shelved it. I did find the -cumul- and
-integ-  functions ,that I was not aware of, useful for other projects
of mine.


On Thu, Dec 3, 2009 at 12:49 PM, Nick Cox <> wrote:
> It's kind of you to thank us all but you do not distinguish between quite different comments.
> Others can speak for themselves for Steve (Samuels) and I couldn't see why this would be interesting or useful. (Steve's at liberty to dissent if that's not his view.) In effect, you are integrating twice, as -cumul- is clearly numerical integration of the density function, even though not named as such, and you then integrate once more.
> Could you please explain why this is a good idea?
> Nick
> Padmakumar Sivadasan
> Thank you all (Martin, Philippe, Nick, Steve, Maarten, Bob) for your
> valuable suggestions!
> As suggested, I used -cumul- to calculate the cumulative distributions
> and -integ- to calculate the area under the curve..
> On Fri, Nov 27, 2009 at 8:22 AM, Padmakumar Sivadasan
> <> wrote:
>> Dear All,
>> I am analyzing the performance of companies indicated by a variable
>> v1. Variable v1 has a range 0-10 where higher values indicate poorer
>> performance.  I am attempting to compare the performance of companies
>> for the country as a whole and to that at the local level
>> (Metropolitan Statistical Area). I am interested not only in the mean
>> value of v1 but also the variability of v1. One suggestion I got was
>> to compute the cumulative probabilities at the national and local
>> levels and then compare the area under the cumulative probability
>> distributions at the local level to that at the national level.
>> I understand that I can use the -cumul- function in Stata to calculate
>> the cumulative probabilities but I couldn't find a method to calculate
>> the area under the cumulative probability curve. I have two questions
>> in this regard
>> (1) Is there a way in Stata to calculate the area under cumulative
>> probability curve?
>> (2) Could someone point me to reference that I can use to read up on
>> this method?
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