Hello, 
thank you for this clarification!

The NSP values still do not match mine, and I see that it concerns ll, pmi, ps 
as well as tmi for trigrams. Evidently, there must be some error which probably 
lies in the observed or estimated frequencies (since all four measures produce 
different results than mine)

I need to ask for two clarifications:
(1) estimated frequency: The webpage/pmi file says:
                n1pp * np1p * npp1
   m111= --------------------
                nppp
but the file 3D.pm says 
  $m111=$n1pp*$np1p*$npp1/($nppp**2); "

 which I take to mean that we use, not nppp, but the exponent:
                n1pp * np1p * npp1
 m111= --------------------
                nppp * nppp
If so, which one sould I really use? 

(2) Furthermore, let us return to the example trigram. When I compute the 
example trigram's pmi in the way I understand the code, I get the value 
-15.24452, instead of the NSP package's  6.4127. 
All the observed frequencies needed for pmi are directly available in the 
example trigram line, so the only thing that can explain diverging results is 
HOW we compute the value.
May I therefore ask if you agree with the way I understand the code? 

For the trigram 
355663266
at<>det<>er<>262744 7073841 9391062 5872364 1234064 647295 1064083

I compute m111 as:
> > m111=  7073841 * 9391062 * 5872364
> >               -------------------------
> >               355663266
> >
> >          = 1.0968417e+12
> >
> > and PMI = log (262744 / 1.0968417e+12) = -15.24452

> > NSP's pmi returns (using the command line:
> > statistic.pl --ngram 3 pmi outputfile inputfile )
> > produces the following line 
at<>det<>er<>1 6.4127 262744 7073841 9391062 5872364 1234064 647295 1064083

Best,
Gunn

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