SPSSX Discussion

listing permutations

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E. Bernardo

listing permutations

Hi SPSS users,

For the purpose of my question here, suppose we have three cubes (each numbered 1 to 6). The cubes are then tossed. Can we use SPSS syntax to generate all the permutations?

Thank you.
Eins

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Spousta Jan

Re: listing permutations

For example this way:

INPUT PROGRAM.
vector p (3).
LOOP #id = 1 to 6 * 6 * 6.
- compute p3 = mod(#id - 1, 6) + 1.
- compute p2 = mod((#id - p3) / 6, 6) + 1.
- compute p1 = mod((#id - 6*(p2-1) - p3) / (6 * 6), 6) + 1.
- END CASE.
END LOOP.

END FILE.
END INPUT PROGRAM.

form all (f8).
execute.

Have a nice weekend,

Jan

-----Original Message-----
From: SPSSX(r) Discussion [mailto:[hidden email]] On Behalf Of Eins Bernardo
Sent: Friday, October 31, 2008 1:45 PM
To: [hidden email]
Subject: listing permutations

Hi SPSS users,

For the purpose of my question here, suppose we have three cubes (each numbered 1 to 6). The cubes are then tossed. Can we use SPSS syntax to generate all the permutations?

Thank you.
Eins

---------------------------------
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Get the Email name you've always wanted on the new @ymail and @rocketmail.
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=====================
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_____________
Tato zpráva a všechny připojené soubory jsou důvěrné a určené výlučně adresátovi(-ům). Jestliže nejste oprávněným adresátem, je zakázáno jakékoliv zveřejňování, zprostředkování nebo jiné použití těchto informací. Jestliže jste tento mail dostali neoprávněně, prosím, uvědomte odesilatele a smažte zprávu i přiložené soubory. Odesilatel nezodpovídá za jakékoliv chyby nebo opomenutí způsobené tímto přenosem.

Jste si jisti, že opravdu potřebujete vytisknout tuto zprávu a/nebo její přílohy? Myslete na přírodu.

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Art Kendall

Re: listing permutations

In reply to this post by E. Bernardo

open a new instance of SPSS. Copy, Paste, and run the following sets of
syntax.

* this program creates all possible permutations of 3 "dice" variables .
new file.
set seed = 20081031.
input program.
loop i = 1 to 6.
loop j = 1 to 6.
loop k = 1 to 6.
leave i j k.
end case.
end loop.
end loop.
end loop.
end file.
end input program.
formats i,j,k (f1).
list.

* this program "throws three dice" .
set seed = 5743269.
input program.
vector die (3,f1).
loop throw = 1 to 20.
loop #k = 1 to 3.
compute die(#k) = rnd(rv.uniform(1,6)).
end loop.
end case.
end loop.
end file.
end input program.
formats throw (f3) die1 to die3 (f1).
list.

Art Kendall
Social Research Consultants

Eins Bernardo wrote:

> Hi SPSS users,
>
> For the purpose of my question here, suppose we have three cubes (each numbered 1 to 6). The cubes are then tossed. Can we use SPSS syntax to generate all the permutations?
>
> Thank you.
> Eins
>
>
> ---------------------------------
> New Email names for you!
> Get the Email name you've always wanted on the new @ymail and @rocketmail.
> Hurry before someone else does!
>
> =====================
> To manage your subscription to SPSSX-L, send a message to
> [hidden email] (not to SPSSX-L), with no body text except the
> command. To leave the list, send the command
> SIGNOFF SPSSX-L
> For a list of commands to manage subscriptions, send the command
> INFO REFCARD
>
>
>

Art Kendall
Social Research Consultants

Art Kendall

Re: listing permutations

In reply to this post by E. Bernardo

CORRECTION. CORRECTION. CORRECTION.

* this program "throws three dice" .
*note arguments to rv.uniform.
set seed = 5743269.
input program.
vector die (3,f1).
loop throw = 1 to 2000.
loop #k = 1 to 3.
compute die(#k) = rnd(rv.uniform(.5,6.5)).
end loop.
end case.
end loop.
end file.
end input program.
formats throw (f3) die1 to die3 (f1).
frequencies vars = die1 to die3.

Art

Eins Bernardo wrote:

Art Kendall
Social Research Consultants

E. Bernardo

Re: listing permutations

In reply to this post by Spousta Jan

Jan, thank you. Your syntax works but I am sorry, I used a wrong term. What I want is combination, not permutation. What to modify from your syntax to produce the combinations?

Thanks.
Eins

Spousta Jan <[hidden email]> wrote:
For example this way:

INPUT PROGRAM.
vector p (3).
LOOP #id = 1 to 6 * 6 * 6.
- compute p3 = mod(#id - 1, 6) + 1.
- compute p2 = mod((#id - p3) / 6, 6) + 1.
- compute p1 = mod((#id - 6*(p2-1) - p3) / (6 * 6), 6) + 1.
- END CASE.
END LOOP.

END FILE.
END INPUT PROGRAM.

form all (f8).
execute.

Have a nice weekend,

Jan

-----Original Message-----
From: SPSSX(r) Discussion [mailto:[hidden email]] On Behalf Of Eins Bernardo
Sent: Friday, October 31, 2008 1:45 PM
To: [hidden email]
Subject: listing permutations

Hi SPSS users,

For the purpose of my question here, suppose we have three cubes (each numbered 1 to 6). The cubes are then tossed. Can we use SPSS syntax to generate all the permutations?

Thank you.
Eins

---------------------------------
New Email names for you!
Get the Email name you've always wanted on the new @ymail and @rocketmail.
Hurry before someone else does!

=====================
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_____________
Tato zpráva a všechny připojené soubory jsou důvěrné a určené výlučně adresátovi(-ům). Jestliže nejste oprávněným adresátem, je zakázáno jakékoliv zveřejňování, zprostředkování nebo jiné použití těchto informací. Jestliže jste tento mail dostali neoprávněně, prosím, uvědomte odesilatele a smažte zprávu i přiložené soubory. Odesilatel nezodpovídá za jakékoliv chyby nebo opomenutí způsobené tímto přenosem.

Jste si jisti, že opravdu potřebujete vytisknout tuto zprávu a/nebo její přílohy? Myslete na přírodu.

This message and any attached files are confidential and intended solely for the addressee(s). Any publication, transmission or other use of the information by a person or entity other than the intended addressee is prohibited. If you receive this in error please contact the sender and delete the message as well as all attached documents. The sender does not accept liability for any errors or omissions as a result of the transmission.

Are you sure that you really need a print version of this message and/or its attachments? Think about nature.

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E. Bernardo

Re: listing permutations

In reply to this post by Art Kendall

Hi Art,

Your syntax does not generate the permutations. I was wrong with the term I was using. It was supposed to be combination, not permutation. Anyway, just ignore the dice problem.

Basically, I asked the combinations (not permutations) using "dice" as example because I want to apply it to my problem. The problem goes like this: Our school would like to offer a new training program with 8 attributes, each attribute with two levels. The following shows some of the attributes as well as the levels.

ATTRIBUTE LEVEL

Instruction type online, classroom
schedule weekdays, weekends
tuition below 1500, above 1500
Attribute 4 X, Y
Attribute 5 W, Z
Attribute 6 P, Q
Attribute 7 M, N
Attribute 8 R, S

The main goal is to list all the possible combinations in a 9 column SPSS format. For example:

Combination InstructionType Schedule Tuition Attribute4 ...
1 online weekdays <1500 X
2 online weekends >1500 Y
3 classroom weekdays <1500 X
4 classroom weekends >1500 Y

This can be done in SPSS using the ORTHOGONAL DESIGN procedure. However, it generates only up to 99 combinations. It cannot generate all the possible combinations needed for my problem.

I would be thankful and pleased for any help that somebody can extend.

Eins

Art Kendall <[hidden email]> wrote:
CORRECTION. CORRECTION. CORRECTION.

* this program "throws three dice" .
*note arguments to rv.uniform.
set seed = 5743269.
input program.
vector die (3,f1).
loop throw = 1 to 2000.
loop #k = 1 to 3.
compute die(#k) = rnd(rv.uniform(.5,6.5)).
end loop.
end case.
end loop.
end file.
end input program.
formats throw (f3) die1 to die3 (f1).
frequencies vars = die1 to die3.

Art

Eins Bernardo wrote:

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Marta Garcia-Granero

Re: listing permutations

Eins Bernardo escribió:

> Hi Art,
>
> Your syntax does not generate the permutations. I was wrong with the term I was using. It was supposed to be combination, not permutation. Anyway, just ignore the dice problem.
>
> Basically, I asked the combinations (not permutations) using "dice" as example because I want to apply it to my problem. The problem goes like this: Our school would like to offer a new training program with 8 attributes, each attribute with two levels. The following shows some of the attributes as well as the levels.
>
> ATTRIBUTE LEVEL
>
> Instruction type online, classroom
> schedule weekdays, weekends
> tuition below 1500, above 1500
> Attribute 4 X, Y
> Attribute 5 W, Z
> Attribute 6 P, Q
> Attribute 7 M, N
> Attribute 8 R, S
>
> The main goal is to list all the possible combinations in a 9 column SPSS format. For example:
>
> Combination InstructionType Schedule Tuition Attribute4 ...
> 1 online weekdays <1500 X
> 2 online weekends >1500 Y
> 3 classroom weekdays <1500 X
> 4 classroom weekends >1500 Y
>
> This can be done in SPSS using the ORTHOGONAL DESIGN procedure. However, it generates only up to 99 combinations. It cannot generate all the possible combinations needed for my problem.
>
>

Does this work the way you wanted? If not, please ask again.

MATRIX.
* Create all subset patterns for N variables(algorithm by M G-Granero) *.
COMPUTE n=8.
COMPUTE subset={1;2}.
COMPUTE nsub=NROW(subset).
LOOP i=2 TO n. /* Expanding array to N variables by recursive duplication *.
. COMPUTE subset={MAKE(nsub,1,2),subset;MAKE(nsub,1,1),subset}.
. COMPUTE nsub=NROW(subset).
END LOOP.
SAVE subset /OUTFILE=*.
END MATRIX.
COMPUTE combination=$casenum.
FORMAT combination(F4).
RENAME VARIABLES (COL1 TO COL8=InstructionType Schedule Tuition
Attribute4 Attribute5 Attribute6 Attribute7 Attribute8).
VALUE LABEL InstructionType 1'Online' 2'Classroom'
/Schedule 1'weekdays' 2'weekends'/ Tuition 1'<1500' 2'>1500'
/Attribute4 1'X' 2'Y' / Attribute5 1'W' 2'Z'/ Attribute6 1'P' 2'Q'
/Attribute7 1'M' 2'N' /Attribute8 1'R' 2'S'.

SUMMARIZE
/TABLES=combination InstructionType TO Attribute8
/FORMAT=LIST NOCASENUM TOTAL
/TITLE='Resúmenes de casos'
/MISSING=VARIABLE
/CELLS=NONE.

HTH,
Marta García-Granero

--
For miscellaneous statistical stuff, visit:
http://gjyp.nl/marta/

=====================
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Art Kendall

Re: listing permutations

In reply to this post by E. Bernardo

The first post contained syntax to generate the permutations and syntax
to "throw 3 dice".

The correction only applied to the dice throwing simulation.

Art

Eins Bernardo wrote:

> Hi Art,
>
> Your syntax does not generate the permutations. I was wrong with
> the term I was using. It was supposed to be combination, not
> permutation. Anyway, just ignore the dice problem.
>
> Basically, I asked the combinations (not permutations) using "dice" as
> example because I want to apply it to my problem. The problem goes
> like this: Our school would like to offer a new training program
> with 8 attributes, each attribute with two levels. The following
> shows some of the attributes as well as the levels.
>
> ATTRIBUTE LEVEL
>
> Instruction type online, classroom
> schedule weekdays, weekends
> tuition below 1500, above 1500
> Attribute 4 X, Y
> Attribute 5 W, Z
> Attribute 6 P, Q
> Attribute 7 M, N
> Attribute 8 R, S
>
> The main goal is to list all the possible combinations in a 9 column
> SPSS format. For example:
>
> Combination InstructionType Schedule Tuition
> Attribute4 ...
> 1 online weekdays
> <1500 X
> 2 online weekends
> >1500 Y
> 3 classroom weekdays
> <1500 X
> 4 classroom weekends
> >1500 Y
>
> This can be done in SPSS using the ORTHOGONAL DESIGN procedure.
> However, it generates only up to 99 combinations. It cannot generate
> all the possible combinations needed for my problem.
>
> I would be thankful and pleased for any help that somebody can extend.
>
> Eins
>
>
>
>
>
>
>
> */Art Kendall <[hidden email]>/* wrote:
>
> CORRECTION. CORRECTION. CORRECTION.
>
> * this program "throws three dice" .
> *note arguments to rv.uniform.
> set seed = 5743269.
> input program.
> vector die (3,f1).
> loop throw = 1 to 2000.
> loop #k = 1 to 3.
> compute die(#k) = rnd(rv.uniform(.5,6.5)).
> end loop.
> end case.
> end loop.
> end file.
> end input program.
> formats throw (f3) die1 to die3 (f1).
> frequencies vars = die1 to die3.
>
> Art
>
>
> Eins Bernardo wrote:
> > Hi SPSS users,
> >
> > For the purpose of my question here, suppose we have three cubes
> (each numbered 1 to 6). The cubes are then tossed. Can we use SPSS
> syntax to generate all the permutations?
> >
> > Thank you.
> > Eins
> >
> >
> > ---------------------------------
> > New Email names for you!
> > Get the Email name you've always wanted on the new @ymail and
> @rocketmail.
> > Hurry before someone else does!
> >
> > =====================
> > To manage your subscription to SPSSX-L, send a message to
> > [hidden email] (not to SPSSX-L), with no body text
> except the
> > command. To leave the list, send the command
> > SIGNOFF SPSSX-L
> > For a list of commands to manage subscriptions, send the command
> > INFO REFCARD
> >
> >
> >
>
> =====================
> To manage your subscription to SPSSX-L, send a message to
> [hidden email] (not to SPSSX-L), with no body text
> except the
> command. To leave the list, send the command
> SIGNOFF SPSSX-L
> For a list of commands to manage subscriptions, send the command
> INFO REFCARD
>
>
> ------------------------------------------------------------------------
> Get your preferred Email name!
> <http://sg.rd.yahoo.com/ph/mail/domainchoice/mail/signature/*http://mail.promotions.yahoo.com/newdomains/ph/>
>
> Now you can @ymail.com and @rocketmail.com.

Art Kendall
Social Research Consultants

Marta Garcia-Granero

Re: listing permutations

In reply to this post by Marta Garcia-Granero

Eins

Did my solution work?You didn't tell, and I was curious.

Marta GG

> Eins Bernardo wrote:
>> Basically, I asked the combinations (not permutations) using "dice"
>> as example because I want to apply it to my problem. The problem
>> goes like this: Our school would like to offer a new training
>> program with 8 attributes, each attribute with two levels. The
>> following shows some of the attributes as well as the levels.
>>
>> ATTRIBUTE LEVEL
>>
>> Instruction type online, classroom
>> schedule weekdays, weekends
>> tuition below 1500, above 1500
>> Attribute 4 X, Y
>> Attribute 5 W, Z
>> Attribute 6 P, Q
>> Attribute 7 M, N
>> Attribute 8 R, S
>>
>> The main goal is to list all the possible combinations in a 9
>> column SPSS format. For example:
>>
>> Combination InstructionType Schedule
>> Tuition Attribute4 ...
>> 1 online weekdays
>> <1500 X
>> 2 online weekends
>> >1500 Y
>> 3 classroom weekdays
>> <1500 X
>> 4 classroom weekends
>> >1500 Y
>>
>> This can be done in SPSS using the ORTHOGONAL DESIGN procedure.
>> However, it generates only up to 99 combinations. It cannot generate
>> all the possible combinations needed for my problem.
>>
>>
> Does this work the way you wanted? If not, please ask again.
>
> MATRIX.
> * Create all subset patterns for N variables(algorithm by M G-Granero) *.
> COMPUTE n=8.
> COMPUTE subset={1;2}.
> COMPUTE nsub=NROW(subset).
> LOOP i=2 TO n. /* Expanding array to N variables by recursive
> duplication *.
> . COMPUTE subset={MAKE(nsub,1,2),subset;MAKE(nsub,1,1),subset}.
> . COMPUTE nsub=NROW(subset).
> END LOOP.
> SAVE subset /OUTFILE=*.
> END MATRIX.
> COMPUTE combination=$casenum.
> FORMAT combination(F4).
> RENAME VARIABLES (COL1 TO COL8=InstructionType Schedule Tuition
> Attribute4 Attribute5 Attribute6 Attribute7 Attribute8).
> VALUE LABEL InstructionType 1'Online' 2'Classroom'
> /Schedule 1'weekdays' 2'weekends'/ Tuition 1'<1500' 2'>1500'
> /Attribute4 1'X' 2'Y' / Attribute5 1'W' 2'Z'/ Attribute6 1'P' 2'Q'
> /Attribute7 1'M' 2'N' /Attribute8 1'R' 2'S'.
>
> SUMMARIZE
> /TABLES=combination InstructionType TO Attribute8
> /FORMAT=LIST NOCASENUM TOTAL
> /TITLE='Resúmenes de casos'
> /MISSING=VARIABLE
> /CELLS=NONE.
>
> HTH,
> Marta García-Granero
>
>

E. Bernardo

Re: listing permutations

Hi Marta,

A million thanks for your help. Thank you so much for the efforts you have exerted in writing the syntax for me.

Regards,
Eins

Marta García-Granero <[hidden email]> wrote:
Eins

Did my solution work?You didn't tell, and I was curious.

Marta GG

--
For miscellaneous statistical stuff, visit:
http://gjyp.nl/marta/

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---------------------------------
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Marta Garcia-Granero

Re: listing permutations

Eins Bernardo wrote:

> A million thanks for your help. Thank you so much for the efforts you
> have exerted in writing the syntax for me.

I'm glad to see it works. Are you going to use it only once, or might
you possibly need it again in the future for a different number of
variables? If you are going to use it again, it might be worth to turn
it into a fully automatic macro.

A closing remark (not a rebuke, but an advise): stating clearly the
problem, giving an example of the desired result, like you did after
several messages exchanges with Art, helps a lot to everybody: you get a
correct answer, and people willing to help will not loose time trying to
write code for a vaguely expressed question. In your case, you started
asking for dice permutations, and Art devoted some time to that
question, and it finally turned out to be a problem of all possible
combinations of 8 binary objects. Since in this list we come from
everywhere in the world, sometimes the desired response is delayed
several days (the person who can answer you could be sleeping while you
ask your question, his/her reply reaches the list while you are in turn
asleep, an so on...). Besides, if you had searched the list, you would
have found this message:

Re: Generating all possible binary patterns for m variables

http://listserv.uga.edu/cgi-bin/wa?A2=ind0607&L=spssx-l&P=R2758

Where I posted a code very close to the one I adapted for your task.

This is a general checklist for any potential asker-to-be to the list:

1) Many questions you might ask have quite probably been asked before.
Before asking, check both the list and Raynald Levesque site:

- http://listserv.uga.edu/archives/spssx-l.html
- http://www.spsstools.net

2) Some simple statistical methods (mainly related to improving
non-parametric analysis like confidence intervals & multiple
comparisons) not covered by SPSS can be found at the small web page I
keep at Gjalt Jorn Ygram Peter's hosting. Although chances are slim,
take a look at http://gjyp.nl/marta/

3) If you finally ask the list:

- State clearly the problem, give a small sample of your data and the
desired result
- Say which SPSS version you are using: sometimes I write solutions
designed for SPSS 14/newer, only to find out that the person who wants
to use them can't because he/she is using SPSS 13, 12... we then loose
time trying to rewrite everything for old versions

4) If you are finally given a solution that works, send a message to
close the thread, to stop people to go on working on different solutions
for an already solved problem.

With a constructive intention,
Marta García-Granero

> */Marta García-Granero <[hidden email]>/* wrote:
>
> Eins
>
> Did my solution work?You didn't tell, and I was curious.
>
>
> > Does this work the way you wanted? If not, please ask again.
> >
> > MATRIX.
> > * Create all subset patterns for N variables(algorithm by M
> G-Granero) *.
> > COMPUTE n=8.
> > COMPUTE subset={1;2}.
> > COMPUTE nsub=NROW(subset).
> > LOOP i=2 TO n. /* Expanding array to N variables by recursive
> > duplication *.
> > . COMPUTE subset={MAKE(nsub,1,2),subset;MAKE(nsub,1,1),subset}.
> > . COMPUTE nsub=NROW(subset).
> > END LOOP.
> > SAVE subset /OUTFILE=*.
> > END MATRIX.
> > COMPUTE combination=$casenum.
> > FORMAT combination(F4).
> > RENAME VARIABLES (COL1 TO COL8=InstructionType Schedule Tuition
> > Attribute4 Attribute5 Attribute6 Attribute7 Attribute8).
> > VALUE LABEL InstructionType 1'Online' 2'Classroom'
> > /Schedule 1'weekdays' 2'weekends'/ Tuition 1'<1500' 2'>1500'
> > /Attribute4 1'X' 2'Y' / Attribute5 1'W' 2'Z'/ Attribute6 1'P' 2'Q'
> > /Attribute7 1'M' 2'N' /Attribute8 1'R' 2'S'.
> >
> > SUMMARIZE
> > /TABLES=combination InstructionType TO Attribute8
> > /FORMAT=LIST NOCASENUM TOTAL
> > /TITLE='Resúmenes de casos'
> > /MISSING=VARIABLE
> > /CELLS=NONE.
>

For miscellaneous statistical stuff, visit:
http://gjyp.nl/marta/

=====================
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