Fisher's Exact Test / Freeman-Halton-Test

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Fisher's Exact Test / Freeman-Halton-Test

drfg2008
This post was updated on .
I always thought, SPSS would compute "Fisher's Exact Test" equivalant to the Freeman-Halton-Test. But this doesn't seem to be so.

Following data example:

line A B Sum
1 3 0 3
2 1 3 4
3 3 7 10
Sum 7 10 17


SPSS result: p=0,152

-------------------------------------------------
Chi-Square Tests
        Value df Asymp. Sig. (2-sided) Exact Sig. (2-sided) Exact Sig. (1-sided) Point Probability
Pearson Chi-Square 4.635a 2 .099 .152
Likelihood Ratio 5.783 2 .055 .152
Fisher's Exact Test 4.194 .152
Linear-by-Linear Association 3.602b 1 .058 .070 .055 .043
N of Valid Cases 18
a 5 cells (83.3%) have expected count less than 5. The minimum expected count is 1.33.
b The standardized statistic is 1.898.
-------------------------------------------------

But the Freeman-Halton p-Value should be p(A) = p(B) = 0.07229535170711625
according to:

-> http://vassarstats.net/fisher2x3.html




Dr. Frank Gaeth

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Re: Fisher's Exact Test / Freeman-Halton-Test

Anthony Babinec
What version are you running?
Here is what SPSS 20 produces when you use the Exact button:

Chi-Square Tests
        Value   df      Asymp. Sig. (2-sided)   Exact Sig. (2-sided)
Exact Sig. (1-sided)    Point Probability
Pearson Chi-Square      5.234a  2       .073    .072
Likelihood Ratio        6.319   2       .042    .072
Fisher's Exact Test     4.609                   .072
Linear-by-Linear Association    3.191b  1       .074    .119    .070    .052
N of Valid Cases        17
a 5 cells (83.3%) have expected count less than 5. The minimum expected
count is 1.24.
b The standardized statistic is 1.786.


The "gold standard" would be to run in statxact but I don't have it on my
machine.


Tony Babinec
[hidden email]

-----Original Message-----
From: SPSSX(r) Discussion [mailto:[hidden email]] On Behalf Of
drfg2008
Sent: Saturday, June 02, 2012 2:08 AM
To: [hidden email]
Subject: Fisher's Exact Test / Freeman-Halton-Test

I always thought, SPSS would compute "Fisher's Exact Test" equivilant to the
Freeman-Halton-Test. But this doesn't seem to be so.

Following data example:

        A       B       Sum
1       3       0       3
2       1       3       4
3       3       7       10
Sum     7       10      17


SPSS result: p=0,152

-------------------------------------------------
Chi-Square Tests
        Value   df      Asymp. Sig. (2-sided)   Exact Sig. (2-sided)
Exact Sig. (1-sided)
Point Probability
Pearson Chi-Square      4.635a  2       .099    .152
Likelihood Ratio        5.783   2       .055    .152
Fisher's Exact Test     4.194                   .152
Linear-by-Linear Association    3.602b  1       .058    .070    .055    .043
N of Valid Cases        18
a 5 cells (83.3%) have expected count less than 5. The minimum expected
count is 1.33.
b The standardized statistic is 1.898.
-------------------------------------------------

But the Freeman-Halton p-Value should be p(A) = p(B) = 0.07229535170711625
according to:

-> http://vassarstats.net/fisher2x3.html






-----
Dr. Frank Gaeth
FU-Berlin

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Re: Fisher's Exact Test / Freeman-Halton-Test

David Marso
Administrator
In reply to this post by drfg2008
Maybe you are running it incorrectly?
*PLEASE* post your syntax in the future.  
It is difficult to try to guess what you are fumbling around with.
Not even your other stats are correct from that table of counts.
-------------------------------------------------------------
My results using the following syntax:
data list free / x y w.
begin data
1 1 3 1 2 1 1 3 3 2 1 0 2 2 3 2 3 7
end data.
weight by w.
CROSSTABS/TABLES=y BY x /STATISTIC=CHISQ/METHOD=EXACT TIMER(5).

Chi-Square Tests
  Value df Asymp. Sig. (2-sided) Exact Sig. (2-sided) Exact Sig. (1-sided) Point Probability
Pearson Chi-Square 5.234 2 .073 .072
Likelihood Ratio 6.319 2 .042 .072
Fisher's Exact Test 4.609 .072
Linear-by-Linear Association 3.191 1 .074 .119 .070 .052
N of Valid Cases 17
a 5 cells (83.3%) have expected count less than 5. The minimum expected count is 1.24.
b The standardized statistic is 1.786.


drfg2008 wrote
I always thought, SPSS would compute "Fisher's Exact Test" equivalant to the Freeman-Halton-Test. But this doesn't seem to be so.

Following data example:

line A B Sum
1 3 0 3
2 1 3 4
3 3 7 10
Sum 7 10 17


SPSS result: p=0,152

-------------------------------------------------
Chi-Square Tests
        Value df Asymp. Sig. (2-sided) Exact Sig. (2-sided) Exact Sig. (1-sided) Point Probability
Pearson Chi-Square 4.635a 2 .099 .152
Likelihood Ratio 5.783 2 .055 .152
Fisher's Exact Test 4.194 .152
Linear-by-Linear Association 3.602b 1 .058 .070 .055 .043
N of Valid Cases 18
a 5 cells (83.3%) have expected count less than 5. The minimum expected count is 1.33.
b The standardized statistic is 1.898.
-------------------------------------------------

But the Freeman-Halton p-Value should be p(A) = p(B) = 0.07229535170711625
according to:

-> http://vassarstats.net/fisher2x3.html
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Those desiring my consulting or training services please feel free to email me.
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Re: Fisher's Exact Test / Freeman-Halton-Test

Rich Ulrich
In reply to this post by drfg2008
Your summary report says --
N of Valid Cases 18
whereas the count in the 2x3 table is 17.

So your statistics are not a report on the table shown.

--
Rich Ulrich

> Date: Sat, 2 Jun 2012 00:08:14 -0700

> From: [hidden email]
> Subject: Fisher's Exact Test / Freeman-Halton-Test
> To: [hidden email]
>
> I always thought, SPSS would compute "Fisher's Exact Test" equivilant to the
> Freeman-Halton-Test. But this doesn't seem to be so.
>
> Following data example:
>
> A B Sum
> 1 3 0 3
> 2 1 3 4
> 3 3 7 10
> Sum 7 10 17
>
>
> SPSS result: p=0,152
>
> -------------------------------------------------
> Chi-Square Tests
> Value df Asymp. Sig. (2-sided) Exact Sig. (2-sided) Exact Sig. (1-sided)
> Point Probability
> Pearson Chi-Square 4.635a 2 .099 .152
> Likelihood Ratio 5.783 2 .055 .152
> Fisher's Exact Test 4.194 .152
> Linear-by-Linear Association 3.602b 1 .058 .070 .055 .043
> N of Valid Cases 18
> a 5 cells (83.3%) have expected count less than 5. The minimum expected
> count is 1.33.
> b The standardized statistic is 1.898.
> -------------------------------------------------
>
> But the Freeman-Halton p-Value should be p(A) = p(B) = 0.07229535170711625
> according to:
>
> -> http://vassarstats.net/fisher2x3.html
>
...
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Re: Fisher's Exact Test / Freeman-Halton-Test

drfg2008
This post was updated on .
yes, it was simply a programming problem.


DATA LIST LIST
 / line AB count.
BEGIN DATA.
1 1 3
1 2 0
2 1 1
2 2 3
3 1 3
3 2 7
END DATA.

VALUE LABELS AB 1'A' 2'B'.

WEIGHT BY count.

CROSSTABS
  /TABLES=line BY AB
  /FORMAT=AVALUE TABLES
  /STATISTICS=CHISQ
  /CELLS=COUNT
  /COUNT ROUND CELL
  /METHOD=EXACT TIMER(1).
Dr. Frank Gaeth

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Re: Fisher's Exact Test / Freeman-Halton-Test

drfg2008
In reply to this post by drfg2008
Still a problem with Fisher's Exact test that somebody asked me (maybe a bug in SPSS 19 ? ) :

The same syntax run on SPSS 19 produces different results than run from SPSS20

Here the syntax (again)

DATA LIST LIST
 / line AB count.
BEGIN DATA.
1 1 3
1 2 0
2 1 1
2 2 3
3 1 3
3 2 7
END DATA.

VALUE LABELS AB 1'A' 2'B'.

WEIGHT BY count.

CROSSTABS
  /TABLES=line BY AB
  /FORMAT=AVALUE TABLES
  /STATISTICS=CHISQ
  /CELLS=COUNT
  /COUNT ROUND CELL
  /METHOD=EXACT TIMER(1).



Here the result on SPSS 19 (wrong - University licence / run on a campus machine). Fisher's Exact test should not result 1.000 but 0.072.

Chi-Square Tests
Value    df    Asymp. Sig. (2-sided)    Exact Sig. (2-sided)    Exact Sig. (1-sided)    Point Probability
Pearson Chi-Square    5.234a    2    .073    .051        
Likelihood Ratio    6.319    2    .042    .037        
Fisher's Exact Test    4.609              1.000        
Linear-by-Linear Association    3.191b    1    .074    .119    .070    .052
N of Valid Cases    17                        
a. 5 cells (83.3%) have expected count less than 5. The minimum expected count is 1.24.
b. The standardized statistic is 1.786.




Here the result on SPSS 20  on my computer (correct)


Chi-Square Tests                  
   Value   df   Asymp. Sig. (2-sided)   Exact Sig. (2-sided)   Exact Sig. (1-sided)   Point Probability
Pearson Chi-Square   5.234a   2   .073   .072      
Likelihood Ratio   6.319   2   .042   .072      
Fisher's Exact Test   4.609         .072      
Linear-by-Linear Association   3.191b   1   .074   .119   .070   .052
N of Valid Cases   17              
a 5 cells (83.3%) have expected count less than 5. The minimum expected count is 1.24.                  
b The standardized statistic is 1.786.  
Dr. Frank Gaeth

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Re: Fisher's Exact Test / Freeman-Halton-Test

Bruce Weaver
Administrator
Frank, I've just run your code using v19 running under Windoze 7, and I get the results you show for v20, including the p-value for FET.  My v19 is patched to 19.0.0.2.  Does your university have the latest patches installed?

HTH.


drfg2008 wrote
Still a problem with Fisher's Exact test that somebody asked me (maybe a bug in SPSS 19 ? ) :

The same syntax run on SPSS 19 produces different results than run from SPSS20

Here the syntax (again)

DATA LIST LIST
 / line AB count.
BEGIN DATA.
1 1 3
1 2 0
2 1 1
2 2 3
3 1 3
3 2 7
END DATA.

VALUE LABELS AB 1'A' 2'B'.

WEIGHT BY count.

CROSSTABS
  /TABLES=line BY AB
  /FORMAT=AVALUE TABLES
  /STATISTICS=CHISQ
  /CELLS=COUNT
  /COUNT ROUND CELL
  /METHOD=EXACT TIMER(1).



Here the result on SPSS 19 (wrong - University licence / run on a campus machine). Fisher's Exact test should not result 1.000 but 0.072.

Chi-Square Tests
Value    df    Asymp. Sig. (2-sided)    Exact Sig. (2-sided)    Exact Sig. (1-sided)    Point Probability
Pearson Chi-Square    5.234a    2    .073    .051        
Likelihood Ratio    6.319    2    .042    .037        
Fisher's Exact Test    4.609              1.000        
Linear-by-Linear Association    3.191b    1    .074    .119    .070    .052
N of Valid Cases    17                        
a. 5 cells (83.3%) have expected count less than 5. The minimum expected count is 1.24.
b. The standardized statistic is 1.786.




Here the result on SPSS 20  on my computer (correct)


Chi-Square Tests                  
   Value   df   Asymp. Sig. (2-sided)   Exact Sig. (2-sided)   Exact Sig. (1-sided)   Point Probability
Pearson Chi-Square   5.234a   2   .073   .072      
Likelihood Ratio   6.319   2   .042   .072      
Fisher's Exact Test   4.609         .072      
Linear-by-Linear Association   3.191b   1   .074   .119   .070   .052
N of Valid Cases   17              
a 5 cells (83.3%) have expected count less than 5. The minimum expected count is 1.24.                  
b The standardized statistic is 1.786.  
--
Bruce Weaver
bweaver@lakeheadu.ca
http://sites.google.com/a/lakeheadu.ca/bweaver/

"When all else fails, RTFM."

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Re: Fisher's Exact Test / Freeman-Halton-Test

drfg2008
it seems to be a known problem with SPSS19 and has been solved already by a patch

http://gruener.userpage.fu-berlin.de/IBM_SPSS_Statistics_19_0_Fix_Pack_2_Fix_List.pdf


Thanks
Dr. Frank Gaeth

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Automatic reply: Fisher's Exact Test / Freeman-Halton-Test

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