1. What is the Kolmogorov-Smirnov test used for? 2. For the Kolmogorov-Smirnov,

Question

1. What is the Kolmogorov-Smirnov test used for?

2. For the Kolmogorov-Smirnov, Levene’s, and Box’s M tests, are we looking for statistical significance? Why or why not?

3. What shape are we looking for in a residual’s test?

4. What analysis procedure gives us the Mahalanobis variable we work with?

5. When you do a Principal Components Analysis, what are you accomplishing?

6. When do you use the Levene’s test and when do you use the Box’s M?

7. What is the correct transformation procedure when you have a moderate negative skew?

Explanation / Answer

1. The Kolmogorov-Smirnov test is used to decide if a sample comes from a population with a specific distribution.

It is a nonparametric test of the equality of continuous, one-dimensional probability distributions that can be used to compare a sample with a reference probability distribution (one-sample K–S test), or to compare two samples (two-sample K–S test).

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