Lilliefors Test Calculator

Test for normality using the Lilliefors modification of the Kolmogorov-Smirnov test.

Sample Data

Data (comma-separated)

Significance Level (alpha)

Note: Unlike the standard K-S test, the Lilliefors test accounts for parameters being estimated from the sample data.

Lilliefors D Statistic

0.1265

Fail to Reject H0: Normal

D+D+

0.1122

D-D-

0.1265

pP-Value

1.000000

cvCritical Value

0.2802

Sample Size10

Mean5.9400

Std Dev2.2814

Z-Score Range[-1.68, 1.43]

D = max|Fn(x) - Phi((x-mean)/s)| with modified critical values