What is the Kolmogorov And Smirnov Test?

1.	What is the Kolmogorov And Smirnov Test?
Answer» Kolmogorov-Smirnov test is used to check WHETHER 2 samples follow the same distribution. x &LT;- rnorm(50) y <- runif(50) ks.test(x, y) Two-sample Kolmogorov-Smirnov test data: x and y D = 0.52, p-value = 1.581e-06 alternative HYPOTHESIS: two-sided x <- rnorm(50) y <- rnorm(50) ks.test(x, y) Two-sample Kolmogorov-Smirnov test data: x and y D = 0.1, p-value = 0.9667 alternative hypothesis: two-sided If p-Value < 0.05 (significance level), we reject the null hypothesis that they are drawn from the same distribution. In other words, p < 0.05 implies x and y from different distributions.

Answer»

Kolmogorov-Smirnov test is used to check WHETHER 2 samples follow the same distribution.

x &LT;- rnorm(50)
y <- runif(50)
ks.test(x, y)

Two-sample Kolmogorov-Smirnov test

data: x and y

D = 0.52, p-value = 1.581e-06

alternative HYPOTHESIS: two-sided

x <- rnorm(50)
y <- rnorm(50)
ks.test(x, y)

Two-sample Kolmogorov-Smirnov test

data: x and y

D = 0.1, p-value = 0.9667

alternative hypothesis: two-sided

If p-Value < 0.05 (significance level), we reject the null hypothesis that they are drawn from the same distribution. In other words, p < 0.05 implies x and y from different distributions.

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What is the Kolmogorov And Smirnov Test?

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