Kolmogorov-Smirnov One-Sample Test

Like the chi-square goodness of fit test, the Kolmogorov-Smirnov one-sample test assesses the degree to which an observed pattern of categorical frequencies differs from the pattern that would be expected on the null hypothesis. The test statistic, here designated Dmax, is the maximum difference between the cumulative proportions of the two patterns. The present page will perform the test for up to 8 mutually exclusive categories labeled A through H.

To enter an observed cell frequency, click the cursor into the appropriate cell, then type in the value. Expected values can be entered as either frequencies or proportions. If you enter the expected values as proportions, the entries can take the form of either decimal fractions such as .25, or common fractions such as 1/4. Whenever possible, it is better to enter common fractions rather than rounded decimal fractions: 1/3 rather than .3333; 1/6 rather than .1667; and so forth.

When all observed and expected values have been entered, click the «Calculate» button. To perform a new analysis with a new set of data, click the «Reset» button.



Data EntryQ
Cate-
gory

Observed
Frequency

Expected
Frequency

Expected
Proportion

































Sums:
Observed Frequencies:
  

Expected Frequencies:
  
Expected Proportions:
  
    

Cumulative ProportionsQ
Observed
Expected
| OE |
    
    
    
    
    
    
    
    
























Dmax


Critical Values of Dmax for n =
Level of Significance
(non-directional)

.05
.01




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