Simulation Challenge 2 comes in two flavors: Sign Test (maximum of 50 points) or Wilcoxon Signed Rank test (maximum of 60 points). You can do one or the other (NOT both). If you submit both, I will grade the WSR paper only.
Sign Test:

Generate a data set that satisfies the assumptions of the sign test.
Randomly select k% of observations to be 0

k = 5, 10, 25
n = 20, 100

What happens to the Type I error of the sign test under the zero fudge or jittering for all 6 combinations of k and n?
Compare the results to a paired t-test
Run the simulations, report results, and make a recommendation.

Wilcoxon Signed Rank Test:

Randomly select k% of differences to be 0.

k = 5, 10, 25
n = 20, 100

What happens to the Type I error of the WSR test under jittering, Pratt and Wilcoxon “zero methods” for all 6 combinations of k and n?
Compare the results to a paired t-test
Run the simulations, report results, and make a recommendation.

Some Notes:
On Monday, March 29, I will return papers with the following:

No iterations OR iterations much less than sample size
Screen shots of code or output (graphics OK)

Submission Guidelines

The results should be typed like a paper, with clearly defined sections for Introduction, Methods, Results, and Conclusions.
Your name must be at the top of the first page and on each successive page.
There should be an informative title (“Simulation Challenge 1” is not informative).
If you use MS Word to type homework, use an easy to read variable-width font (I like Ariel, Helvetica, and Geneva fonts) with a minimum of 12 point font.
Tables and graphs should be included in the body of the paper, as close as possible to the text that describes them.
Any graphics from R must be electronically cut-and-pasted in-line at the appropriate point of the write-up. Resize the graphics window to optimize the readability. I will show you how to do this in class.
Any mathematical notation must be provided with appropriate use of subscripts, superscripts and symbols. Use MS Equation or another equation editor if you submit your work in Word.
Captions for tables and graphs should be contain a description of the variable on the x-axis, a description of the variable on the y-axis, a description of any plotting symbols, and a brief summary of the point that the graph or table is meant to convey.
Code for the simulation challenge should be uploaded IN A SEPARATE FILE in plain text format. The code should be working code (no mistakes). Part of your grade is determined by how easily I can copy and paste your code from the text file and reproduce your results.
Maximum of 7 pages, including tables and graphs. There is no minimum. The code file is not included in the page count.

·Everything does with R, and all codes needed.
·Data is required.