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Statistics LibreTexts

16.E: Transformations (Exercises)

General Questions

Q1

When is a log transformation valuable?

Q2

If the arithmetic mean of \(\log_{10}\) transformed data were \(3\), what would be the geometric mean?

Q3

Using Tukey's ladder of transformation, transform the following data using a \(λ\) of \(0.5: 9, 16, 25\)

Q4

What value of \(λ\) in Tukey's ladder decreases skew the most?

Q5

What value of \(λ\) in Tukey's ladder increases skew the most?

Question from Case Study

Q6

In the ADHD case study, transform the data in the placebo condition (\(D0\)) with \(λ's\) of \(0.5\), \(0\), \(-0.5\), and \(-1\). How does the skew in each of these compare to the skew in the raw data. Which transformation leads to the least skew?

Contributor

  • Online Statistics Education: A Multimedia Course of Study (http://onlinestatbook.com/). Project Leader: David M. Lane, Rice University.