# RE: st: RE: sum: collapse vs egen

 From "Nick Cox" To Subject RE: st: RE: sum: collapse vs egen Date Sat, 5 Sep 2009 17:52:02 +0100

```I can't add to what I said earlier, or wrote much earlier as cited,
except to emphasise that this function is here on a knife-edge:

. di round(8.755, 0.01)
8.76

. di round(3.86 + 4.895, 0.01)
8.75

If you want exact decimal calculations, you need to do all your workings
in integers, and convert only when obliged to.

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

ciccarec@uniroma2.it

Hello Nick,

Quoting "Nick Cox" <n.j.cox@durham.ac.uk>:
3. Not your question, but -egen, sum()- is a poor way to do a sum.

but in the numerical example I provided egen,sum() turns out to
provide the exact answer (8.76), which I can't get using collapse (sum).
My problem is that I never use "egen, sum" when working with real data
while I often use "collapse (sum)", that seems to be not very
appropriate.

I think the problem is in the way the "collapse" command and the "round"
function are related: I verified that if the line "gen double
r2=round(a*100)/100" (see after the "collapse" command) is separated
in 2 parts, like:
collapse (sum) a
gen double temp=a*100
gen double r2=round(temp)/100

The resulting r2  is correct (but I don't know why).

Quoting "Nick Cox" <n.j.cox@durham.ac.uk>:

> I have three comments here.
>
> 1. -egen- by default will generate -float- variables (unless you have
> -set type double-). So, you shouldn't be surprised to lose a little
> precision there. Functions like -round()- that may make knife-edge
> decisions are likely to show this up. The first FAQ cited below is a
> similar case.
>
> 2. This is all part of a larger issue: Stata works in binary. Stata
does
> not do decimal arithmetic!
>
> See for example
>
> FAQ     . . . . . . . . . . . . . . . . . . . Results of the mod(x,y)
> function
>         . . . . . . . . . . . . . . . . . . . . . N. J. Cox and T. J.
> Steichen
>         2/03    Why does the mod(x,y) function sometimes give
>                 puzzling results?
>                 Why is mod(0.3,0.1) not equal to 0?
>                 http://www.stata.com/support/faqs/data/mod.html
>
> FAQ     . . . . . . . . . . . . . . . . .  The accuracy of the float
> data type
>         . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
W.
> Gould
>         5/01    How many significant digits are there in a float?
>                 http://www.stata.com/support/faqs/data/prec.html
>
> FAQ     . . . . . . . . . Comparing floating-point values (the float
> function)
>         . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
J.
> Wernow
>         3/01    Why can't I compare two values that I know are equal?
>                 http://www.stata.com/support/faqs/data/float.html
>
> FAQ     . . . . . . . . .  Why am I losing precision with large whole
> numbers?
>         . . . . . . . . . . . . . . . . . .  UCLA Academic Technology
> Services
>         7/08    http://www.ats.ucla.edu/stat/stata/faq/longid.htm
>
> SJ-8-2  pr0038  Mata Matters: Overflow, underflow & IEEE
floating-point
> format
>         . . . . . . . . . . . . . . . . . . . . . . . . . . . .  J. M.
> Linhart
>         Q2/08   SJ 8(2):255--268                                 (no
> commands)
>         focuses on underflow and overflow and details of how
>         floating-point numbers are stored in the IEEE 754
>         floating-point standard
>
> SJ-6-4  pr0025  . . . . . . . . . . . . . . . . . . .  Mata matters:
> Precision
>         . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
W.
> Gould
>         Q4/06   SJ 6(4):550--560                                 (no
> commands)
>         looks at programming implications of the floating-point,
>         base-2 encoding that modern computers use
>
> SJ-6-2  dm0022  . Tip 33: Sweet sixteen: Hexadec. formats & precision
> problems
>         . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
N.
> J. Cox
>         Q2/06   SJ 6(2):282--283                                 (no
> commands)
>         tip for using hexadecimal formats to understand precision
>         problems in Stata
>
> 3. Not your question, but -egen, sum()- is a poor way to do a sum. A
> better way is -summarize, meanonly-. However, I guess that your real
> problem is understanding what -egen- does with some real data, but
> nevertheless note using -summarize- directly and picking up r(sum) is
> always better for a single sum.
>
> Nick
> n.j.cox@durham.ac.uk
>
> Carlo
>
>     Here is my code:
>
> clear
> version 9.2
> set obs 1
> gen double a=3.86
> save data1,replace
>
> clear
> set obs 1
> gen double a=4.895
> save data2,replace
>
> use data1,clear
> append using data2
> egen sum=sum(a)
> gen double r1=round(sum*100)/100
> list
> collapse (sum) a
> gen double r2=round(a*100)/100
> list
>
> Why are r1 and r2 not equal ?

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