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📚 Online Statistics Education
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1 Introduction2 Graphing Distributions3 Summarizing Distributions4 Describing Bivariate Data5 Probability6 Research Design7 Normal Distribution8 Advanced Graphs9 Sampling Distributions10 Estimation11 Logic of Hypothesis Testing12 Tests of Means13 Power14 Regression15 Analysis of Variance16 Transformations17 Chi Square18 Distribution Free Tests19 Effect Size
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16.5 Exercises

1. When is a log transformation valuable?

2. If the arithmetic mean of log10 transformed data were 3, what would be the geometric mean?

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

4. What value of λ in Tukey's ladder decreases skew the most?

5. What value of λ in Tukey's ladder increases skew the most?

6. In the ADHD case study, transform the data in the placebo condition (D0) with λ's of.5, 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?

Adapted from Online Statistics Education: A Multimedia Course of Study (onlinestatbook.com), Project Leader: David M. Lane, Rice University. Developed with NSF support. The original work is in the public domain; it is cited here at the authors' request. Changes were made: reformatted as an accessible XYZ web edition with native MathML. License: Public-Domain.