Matlab Function for chi-square goodness of fit test added to course website


I added a function named GoodnessOfFit4RandDigs that performs an alpha significance level chi-square goodness of fit test of randomness on input vector of digits to the STA 342 website. This script essentially implements the method demonstrated in Example 8.5-1 on Page 524 in Probability and Statistical Inference 7e by Hogg and Tanis.

Sample run (after storing sequence of digits in vector x): 
>> GoodnessOfFit4RandDigs(x,0.05)
Sequence fails Goodness of Fit test for randomness at the 0.05 level
 
             Frequency    Expected Number
-----------------------------------------
Same             0               5  
One away         8              10  
Other           42              35  
-----------------------------------------
Sample run (testing Matlab's builtin rand function): 
>> x=floor(10*rand(51,1));
>> GoodnessOfFit4RandDigs(x,0.05)
Sequence passes Goodness of Fit test for randomness at the 0.05 level
 
             Frequency    Expected Number
-----------------------------------------
Same             5               5  
One away         9              10  
Other           36              35  
-----------------------------------------


Posted: Monday - March 27, 2006 at 05:28 PM        

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