Penn State University

Department of Statistics

Fall 2001

Stat 464  Applied Nonparametric Statistics

                                            Alert:  Exam #1Monday, October 15
Exam will cover all material through the one-way layout.  You may bring one sheet of prepared notes to the exam.


Macros
Data
Syllabus

Notes for further reading from the text and assignments:

1.  General.  Read Chapter 1.  I will assume that much of the material is familiar to you.
2.  Bootstrap.  For more background on the bootstrap, read Sections 11.3.1, 11.3.2, 11.3.4, beginning p412 of Sprent and Smeeton.
3.  Measurement data.  Read Section 2.1, p34.
4.  Sign methods.  Read Section 2.3, p57. We will be talking about these methods in class.
5.  Assignment 1.  For the Shoshoni Rectangle data (class handout) state your research question or hypothesis, get a boxplot of the data, estimate the population median and find a bootstrap estimate of the standard deviation of the median.  Further, construct an exact confidence interval for the population median with confidence coefficient no larger than 95%.  State your assumptions and then conclusions about the research question.  Carry out a similar analysis using the mean and compare your conclusions.  Due Wed, Sept 5.
 6.  Assignment 2.  Exercises p75-77:  2.11, 2.14, 2.18, 2.22.  In all cases state the research question or hypothesis, statistical hypotheses, carry out the analysis, and clearly state your conclusions. Due Fri, Sept 7.
7.  Assignment 3.  Using the simple normal model from lecture, find the required confidence coefficient for the two confidence intervals if we want a 5% one sided test.
8.  Mann-Whitney-Wilcoxon methods. Read Section 5.2 of the text.
9.  Assignment 4 . Show that Med{Y(i)-X(n-i+1)}=Med{Yi}-Med{Xj}. Due Wed, Sept 12.
10.  Assignment 5.  Consider the data in Problem 5.20, p195 of the text.  Is there evidence based on the Mann Whitney test that supports the research hypothesis that diabetic mice tend to be heavier than normal mice?  Due Mon, Sept 17.
11.  Assignment 6.  Read exercise 6.17 p236 of the text. State the research hypothesis.  Using the data in the exercise, do a rough confirmatory analysis and comment on what you expect to see in the strong confirmatory analysis.  Then carryout a strong confirmatory analysis and state your conclusions.  Due Fri, Oct 5.
12.  Assignment 7.  Exercise 6.21 p237 of the text.  Carry out a rough and strong confirmatory analysis.  Due Wed, Oct. 17.
 

Instructor:  Tom Hettmansperger
                      317 Thomas Bld
                      Phone: 865-2211
                      Email: tph@stat.psu.edu
                      Office Hours:  Tuesday and Thursday 2:30-3:30

Assistant:  Steve Bai
                     333 Thomas Bld
                     Phone:  863-3374
                     Email:  bai@stat.psu.edu
                     Office Hours:  To be announced.

Text (Required):  Applied Nonparametric Statistical Methods 3rd ed. by Sprent and Smeeton.