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SAS-L  October 2009, Week 1

SAS-L October 2009, Week 1

Subject:

Re: Help with the sum of combinations

From:

"Richard A. DeVenezia" <[log in to unmask]>

Reply-To:

Richard A. DeVenezia

Date:

Thu, 1 Oct 2009 04:55:57 -0700

Content-Type:

text/plain

Parts/Attachments:

Parts/Attachments

text/plain (157 lines)

On Sep 30, 4:07 am, [log in to unmask] (Thien Thai) wrote:
> Hello to all,
>
> I am in the process creating a report in SAS and don't know how to code this
> problem that I am facing. I have a series of partners firms (max 14) and
> expenditures data as shown below and I would like to aggregate different
> combinations of the partners expenditures, as my data set is humongous and I
> have to live with a very old PC so I need the code to be fast if possible.
>
> ID PARTNER          Expenditures
> 111 PARTNER1  40
> 111 PARTNER2  30
> 111 PARTNER3  50
> 111 PARTNER4  10

..

Thien:

A couple of things... "very old PC", "dealing with gigabytes of data"
and "aggregate different combinations" are likely incompatible
conditions for "fast".

From binomial theorem you know the number of combinations for a group
of size M is 2**M - M, so you have serious exponential consequences
from ids having group sizes of say M > 5.
You might want to have criteria for considering a combination for
output, such as removing low amount outliers (if for an Id Partner M
amount is <5% of total Id expenditure, then Partner M is excluded from
combinations)

This sample code can be used to probe the data and determine the scope
of the problem you are dealing with.
Can you run it and post the info shown in log ?
---------
data tracking;
input id partner $ amount;
cards;
111 PARTNER1  40
111 PARTNER2  30
111 PARTNER3  50
111 PARTNER4  10
112 PARTNER1  60
112 PARTNER2  80
112 PARTNER3  90
113 PARTNER3  10
113 PARTNER4  20
114 PARTNER1  40
115 PARTNER4  50
116 PARTNER1  60
116 PARTNER4  70
117 PARTNER2  90
117 PARTNER4  80
118 PARTNER1  1
118 PARTNER2  1
118 PARTNER3  1
118 PARTNER4  1
118 PARTNER5  1
118 PARTNER6  1
118 PARTNER7  1
118 PARTNER8  1
118 PARTNER9  50
118 PARTNER10  50
118 PARTNER11  1
118 PARTNER12  1
118 PARTNER13  1
118 PARTNER14  1
run;

data _null_;
  array counts[14];
  do until (last);

    partner_set = 0;

    do _n_ = 1 by 1 until (last.id);
      set tracking end=last;
      by id;

      bit = input(substr(partner,8),best2.)-1;
      partner_set = BOR(partner_set, BLSHIFT(1,bit));

      rowcount + 1;
    end;

    array partner_set_counts (%eval(2**14)) _temporary_;
    partner_set_counts(partner_set) + 1;

    counts[_n_] + 1;
  end;


  put rowcount=;

  put (counts(*)) (=/);

  do _n_ = 1 to dim(counts);
    if missing (counts(_n_)) then continue;

    rowcheck + counts(_n_) * _n_;

    if _n_ = 1 then
      comborows = counts(_n_) * 1;
    else
      comborows = counts(_n_) * (2**_n_ - _n_ -1);

    combocount + comborows ;
  end;

  put / rowcheck= / combocount= /;

  put 'partner patterns';
  do _n_ = 1 to dim(partner_set_counts);
    if not missing (partner_set_counts(_n_)) then
      put _n_ binary32. ' count=' partner_set_counts(_n_);
  end;
run;
---------

The log will show
=========
rowcount=29

counts1=2
counts2=3
counts3=1
counts4=1
counts5=.
counts6=.
counts7=.
counts8=.
counts9=.
counts10=.
counts11=.
counts12=.
counts13=.
counts14=1

rowcheck=29
combocount=16389

partner_patterns
00000000000000000000000000000001 count=1
00000000000000000000000000000111 count=1
00000000000000000000000000001000 count=1
00000000000000000000000000001001 count=1
00000000000000000000000000001010 count=1
00000000000000000000000000001100 count=1
00000000000000000000000000001111 count=1
00000000000000000000000111111111 count=1
=========

Note the high combocount (16389) that arose from just 1 group having
data from all 14 partners.

Richard A. DeVenezia
http://www.devenezia.com

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January 2000, Week 2
January 2000, Week 1
December 1999, Week 5
December 1999, Week 4
December 1999, Week 3
December 1999, Week 2
December 1999, Week 1
November 1999, Week 5
November 1999, Week 4
November 1999, Week 3
November 1999, Week 2
November 1999, Week 1
October 1999, Week 5
October 1999, Week 4
October 1999, Week 3
October 1999, Week 2
October 1999, Week 1
September 1999, Week 5
September 1999, Week 4
September 1999, Week 3
September 1999, Week 2
September 1999, Week 1
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August 1999, Week 3
August 1999, Week 2
August 1999, Week 1
July 1999, Week 5
July 1999, Week 4
July 1999, Week 3
July 1999, Week 2
July 1999, Week 1
June 1999, Week 5
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June 1999, Week 3
June 1999, Week 2
June 1999, Week 1
May 1999, Week 5
May 1999, Week 4
May 1999, Week 3
May 1999, Week 2
May 1999, Week 1
April 1999, Week 5
April 1999, Week 4
April 1999, Week 3
April 1999, Week 2
April 1999, Week 1
March 1999, Week 5
March 1999, Week 4
March 1999, Week 3
March 1999, Week 2
March 1999, Week 1
February 1999, Week 4
February 1999, Week 3
February 1999, Week 2
February 1999, Week 1
January 1999, Week 5
January 1999, Week 4
January 1999, Week 3
January 1999, Week 2
January 1999, Week 1
December 1998, Week 5
December 1998, Week 4
December 1998, Week 3
December 1998, Week 2
December 1998, Week 1
November 1998, Week 5
November 1998, Week 4
November 1998, Week 3
November 1998, Week 2
November 1998, Week 1
October 1998, Week 5
October 1998, Week 4
October 1998, Week 3
October 1998, Week 2
October 1998, Week 1
September 1998, Week 5
September 1998, Week 4
September 1998, Week 3
September 1998, Week 2
September 1998, Week 1
August 1998, Week 5
August 1998, Week 4
August 1998, Week 3
August 1998, Week 2
August 1998, Week 1
July 1998, Week 5
July 1998, Week 4
July 1998, Week 3
July 1998, Week 2
July 1998, Week 1
June 1998, Week 5
June 1998, Week 4
June 1998, Week 3
June 1998, Week 2
June 1998, Week 1
May 1998, Week 5
May 1998, Week 4
May 1998, Week 3
May 1998, Week 2
May 1998, Week 1
April 1998, Week 5
April 1998, Week 4
April 1998, Week 3
April 1998, Week 2
April 1998, Week 1
March 1998, Week 5
March 1998, Week 4
March 1998, Week 3
March 1998, Week 2
March 1998, Week 1
February 1998, Week 4
February 1998, Week 3
February 1998, Week 2
February 1998, Week 1
January 1998, Week 5
January 1998, Week 4
January 1998, Week 3
January 1998, Week 2
January 1998, Week 1
December 1997, Week 5
December 1997, Week 4
December 1997, Week 3
December 1997, Week 2
December 1997, Week 1
November 1997, Week 5
November 1997, Week 4
November 1997, Week 3
November 1997, Week 2
November 1997, Week 1
October 1997, Week 5
October 1997, Week 4
October 1997, Week 3
October 1997, Week 2
October 1997, Week 1
September 1997, Week 5
September 1997, Week 4
September 1997, Week 3
September 1997, Week 2
September 1997, Week 1
August 1997, Week 5
August 1997, Week 4
August 1997, Week 3
August 1997, Week 2
August 1997, Week 1
July 1997, Week 5
July 1997, Week 4
July 1997, Week 3
July 1997, Week 2
July 1997, Week 1
June 1997, Week 5
June 1997, Week 4
June 1997, Week 3
June 1997, Week 2
June 1997, Week 1
May 1997, Week 5
May 1997, Week 4
May 1997, Week 3
May 1997, Week 2
May 1997, Week 1
April 1997, Week 5
April 1997, Week 4
April 1997, Week 3
April 1997, Week 2
April 1997, Week 1
March 1997, Week 5
March 1997, Week 4
March 1997, Week 3
March 1997, Week 2
March 1997, Week 1
February 1997, Week 4
February 1997, Week 3
February 1997, Week 2
February 1997, Week 1
January 1997, Week 5
January 1997, Week 4
January 1997, Week 3
January 1997, Week 2
January 1997, Week 1
December 1996, Week 5
December 1996, Week 4
December 1996, Week 3
December 1996, Week 2
December 1996, Week 1
November 1996, Week 5
November 1996, Week 4
November 1996, Week 3
November 1996, Week 2
November 1996, Week 1
October 1996, Week 5
October 1996, Week 4
October 1996, Week 3
October 1996, Week 2
October 1996, Week 1
September 1996, Week 5
September 1996, Week 4
September 1996, Week 3
September 1996, Week 2
September 1996, Week 1
August 1996, Week 5
August 1996, Week 4
August 1996, Week 3
August 1996, Week 2
August 1996, Week 1
July 1996, Week 5
July 1996, Week 4
July 1996, Week 3
July 1996, Week 2
July 1996, Week 1
June 1996, Week 5
June 1996, Week 4
June 1996, Week 3
June 1996, Week 2
June 1996, Week 1
May 1996, Week 5
May 1996, Week 4
May 1996, Week 3
May 1996, Week 2
May 1996, Week 1
April 1996, Week 5
April 1996, Week 4
April 1996, Week 3
April 1996, Week 2
April 1996, Week 1
March 1996, Week 5
March 1996, Week 4
March 1996, Week 3
March 1996, Week 2
March 1996, Week 1
February 1996, Week 5
February 1996, Week 4
February 1996, Week 3
February 1996, Week 2
February 1996, Week 1
January 1996, Week 5
January 1996, Week 4
January 1996, Week 2

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