[R] Help with significance. T-test?

Doran, Harold HDoran at air.org
Tue Jul 28 18:37:46 CEST 2009


Mika

Are you familiar with item response theory? You might consider functions
in ltm or MiscPsycho for dealing with binary response data. 

> -----Original Message-----
> From: r-help-bounces at r-project.org 
> [mailto:r-help-bounces at r-project.org] On Behalf Of mik07
> Sent: Tuesday, July 28, 2009 10:49 AM
> To: r-help at r-project.org
> Subject: [R] Help with significance. T-test?
> 
> 
> Hi,
> 
> this is more a general statistics question I think.
> 
> I am working on a system which automatically answers user 
> questions (such systems are commonly called "Question 
> Answering systems").
> I evaluated different versions of the same system on a 
> publicly available test set.
> This set contains 500 question. Naturally, for each question 
> the answer can be wrong or right, which is coded as "0" 
> (wrong) or "1" (correct). By adding up all values, and 
> dividing them by the number of questions in the test set 
> (that's 500), one gets a measure for how well the system 
> performs, commonly called accuracy.
> As mentioned I evaluated two different versions of the 
> system, and received two different accuracy values. Now I 
> want to know whether the difference is statistically significant. 
> 
> Can I use a t-test? I know it has certain requirements, for 
> example a somewhat normal distribution. That's difficult of 
> course when the values in question are only "0" and "1"...
> 
> 
> Has anybody any ideas?
> 
> Thanks a lot,
> Mika
> 
> 
> PS:
> 
> The data I have looks something like this (of course I 
> actually have 500 values, not only 10):
> 
> results1:  0,1,1,1,0,1,1,0,1,0    accuracy: 0.6
> results2:  0,0,1,1,0,0,1,1,1,0    accuracy: 0.5
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