# Thread: 1 sample K-S-Test output

1. ## 1 sample K-S-Test output

Hi there,

I got told that I would need to do a test to look at my data and whether it is normally distributed or not. So I did the 1 sample K-S- test and got the following output:

One-Sample Kolmogorov-Smirnov Test

Binge / no binge

N 120
Normal Parameters Mean 2,5083
Std. Deviation 1,22300

Most Extreme Differences Absolute ,200
Positive ,200
Negative -,197
Kolmogorov-Smirnov Z 2,187
Asymp. Sig. (2-tailed) ,000

It seems a bit weird to me that the Asymp. Sig. (p) would be 0.000 without any other numbers behind it....does it mean, that my data is skewed and not normally distributed? If this is the case, can I still perform a multinominal logistic regression? Or would I have to do some non-parametric test (in which case I would be even more clueless than I am at the moment) ?

PS for some reason I can't generate a proper table for my output...sorry...hope it is not too confusing

2. This test tests the following:

H0 : population is normal
HA : population is not normal

Since your p-value is very small, it means that if the null hypothesis were true, the probability that we would have observed a KS test statistic of 2.187 is 0.000 (obviously never zero, but it's very very very very small). Since this is the case, we reject the null hypothesis.

3. I just realised that I actually do not have continous measures but categorical ones...so I can't actually use this test!

4. You would model it with a normal distribution though... Everything that would fall between 5 and 6 would be category 5 (for example). It's just like modelling a discrete binomial or Poisson distribution with the normal distribution, as long as it's a good approximation.

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