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  1. Let’s assume that I graphed the entire sample and the largest vertical distance separating my two graphs is .04 (in the yellow highlighted box). Step 5: Look up the critical value in the K-S table value. I have 50 observations in my sample. At an alpha level of .05, the K-S table value is .190. Step 6: Compare the results from Step 4 and Step ...

  2. Aug 8, 2019 · Size of p-value from KS test is not a proper measure to check the validity of t-test. Imagine that the true underlying distribution is not a normal distribution but very close to a normal distribution (e.g., having a very tiny bump on right tail). If your sample size is s

  3. Aug 27, 2018 · That is, a small deviation has a high probability value or p-value. Reversely, a huge deviation percentage is very unlikely and suggests that my reaction times don't follow a normal distribution in the entire population. So a large deviation has a low p-value. As a rule of thumb, we reject the null hypothesis if p < 0.05.

    • What is a K-S P-value?1
    • What is a K-S P-value?2
    • What is a K-S P-value?3
    • What is a K-S P-value?4
  4. Illustration of the Kolmogorov–Smirnov statistic. The red line is a model CDF, the blue line is an empirical CDF, and the black arrow is the KS statistic.. Kolmogorov–Smirnov test (K–S test or KS test) is a nonparametric test of the equality of continuous (or discontinuous, see Section 2.2), one-dimensional probability distributions that can be used to test whether a sample came from a ...

  5. The p-value returned by the k-s test has the same interpretation as other p-values. You reject the null hypothesis that the two samples were drawn from the same distribution if the p-value is less than your significance level. You can find tables online for the conversion of the D statistic into a p-value if you are interested in the procedure.

  6. Prism first generates the two cumulative relative frequency distributions, and then asks how far apart those two distributions are at the point where they are furthest apart. Prism uses the method explained by Lehmann (2). This distance is reported as Kolmogorov-Smirnov D. The P value is computed from this maximum distance between the ...

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  8. Oct 13, 2023 · The level of statistical significance is often expressed as a p-value between 0 and 1. The smaller the p -value, the less likely the results occurred by random chance, and the stronger the evidence that you should reject the null hypothesis. Remember, a p-value doesn’t tell you if the null hypothesis is true or false.

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