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  1. Introduction
  2. Graphing Distributions
  3. Summarizing Distributions
  4. Describing Bivariate Data
  5. Probability
  6. Research Design
  7. Normal Distribution
  8. Advanced Graphs
  9. Sampling Distributions
  10. Estimation
  11. Logic of Hypothesis Testing
  12. Tests of Means
  13. Power
  14. Regression
  15. Analysis of Variance
  16. Transformations
  17. Chi Square

  18. Distribution Free Tests
    1. Contents
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    2. Benefits
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         Video
    3. Randomization Tests: Two Conditions
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         Video
    4. Randomization Tests: Two or More Conditions
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         Video
    5. Randomization Association
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         Video
    6. Fisher Exact Test
      Standard
         Video
    7. Rank Randomization Two Conditions
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         Video
    8. Rank Randomization Two or More Conditions
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         Video
    9. Rank Randomization for Association
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         Video
    10. Statistical Literacy
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    11. Exercises
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  19. Effect Size
  20. Case Studies
  21. Calculators
  22. Glossary
 

Exercises

Author(s)

David M. Lane

Prerequisites

All of this chapter

1. For the following data, how many ways could the data be arranged (including the original arrangement) so that the advantage of the Experimental Group mean over the Control Group mean is as large or larger then the original arrangement?

Experimental Control
5
10
15
16
17
1
2
3
4
9

 

2. For the data in Problem 1, how many ways can the data be rearranged?

3. What is the one-tailed probability for a test of the difference?

4. For the following data, how many ways can the data be rearranged?

T1 T2 Control
7
8
11

14
19
21

0
2
5

5. In general, are rank randomization tests or randomization tests more powerful?

6. What is the advantage of rank randomization tests over randomization tests?

7. Test whether the differences among conditions for the data in Problem 1 is significant (one tailed) at the .01 level using a rank randomization test.

Questions from Case Studies:


The following question uses data from the SAT and GPA case study.

8. Compute Spearman's ρ for the relationship between UGPA and SAT.

The following question uses data from the Stereograms case study.

9. Test the difference in central tendency between the two conditions using a rank-randomization test (with the normal approximation) with a one-tailed test. Give the Z and the p.


The following question uses data from the Smiles and Leniency case study.

10. Test the difference in central tendency between the four conditions using a rank-randomization test (with the normal approximation). Give the Chi Square and the p.