Sample Problems for Fall 2007 Exam
NOTE: for the final exam you may use
a calculator and AT MOST 2
notebook sheets (single sided) of formulas
for reference.
Take-Home Makeup/Extra-Credit for In-Class
Test
Getting Started in R
Course topics
Course handouts
Homework Assignments
Other links
Instructor: Eric V. Slud, Statistics Program
Textbook: Lohr, S. L. (1999).
Sampling: Design and Analysis.
Pacific Grove, CA: Duxbury.
ISBN 0-534-35361-4
Prerequisite: A semester of statistics at the level of STAT 401 or 420.
Course Description:
Sampling refers to the statistical techniques used in political polls,
marketing surveys, federal data gathering and many areas of social
science and public health.
This course provides an introduction to methods of sampling and
analyzing data from finite populations from both a theoretical and
applied perspective. It is intended for Statistics and Mathematics
students interested in applications and for students in the Applied
Statistics track of the Survey Methodology program, as well as
students in disciplines such as business, life science or social
science who need sampling in their research.
The mathematics used in the course is not deep, but it can be
intricate. It is essential that you understand basic statistical
concepts such as point estimation, confidence limits, and the
central limit theorem.STAT 440 is part of the required material for the MATH/STAT/AMSC
MA and PhD Written Examinations in Applied Statistics.
Chapters 1--8 plus topics from Chapters 9 and 11.
References:
Cochran, W. J. (1977). Sampling Techniques (3rd. ed.).
New York: J. Wiley.Sarndal, C.-E., Swensson, B., and Wretman, J. (1992). Model
Assisted Survey Sampling. New York: Springer.
Course Requirements and Grading:
There will be an in-class midterm on Monday, Oct. 29, and a final
exam on Monday, Dec. 17 from 4--6 p.m. There will be frequent
homework assignments, 7 in all, including both theoretical
and applied problems. Grades will be based on the midterm (25%),
homework (40%), and the in-class final exam (35%) .
Course Policies:
(i) As part of the applied homework assignments, students will be
expected to do arithmetic calculations on the computer, which will
sometimes involve a small amount of programming. Students may
choose the language or platform, which may range from Spreadsheets
to SAS to R or Splus. However, all computational illustrations in
the course and all computer help offered in an office-hour setting
will be restricted to Splus and R.
For the systematic Introduction to R and R reference manual
distributed with the R software, either download from the R website
or simply invoke the command
> help.start()
from within R. For slightly less extensive introductory tutorials
in R, click CUNY or Illinois State or Union College.
(ii) No homework will be accepted late.
(iii) All homeworks for students taking the course on campus should
be handed in as hard-copy on or before the due date.
Homework Assignments.
Homework solutions including numerical answers, a little
verbal discussion, and
R scripts for the computations, can be
found here.
(1) Through September 12, read Chapters 1 and 2
of Lohr text.
First HW Due Mon., Sept. 17.
Ch. 2, Problems 1, 3, 6, 8, 12, 18, 25.
(2) Reading for the next 2 weeks, through
Wed. Sept 26, is Chapter 3. (3) Reading for the next 2 weeks, through
Wed. Oct. 10, is Chapter 4. (4) HW4 based on reading in Ch.5, due-date extended to
Monday, Oct. 29, 2007: The in-class test on Monday, Oct. 29, covered material
through Sec. 5.3. (5) HW5 reading through Friday, November 16: finish Ch.5 (6) HW6 reading through Friday December 7: Ch.7 Sec. 7.6,
Chapter 8,
Second HW Due Monday Oct.
1. Ch. 2 Problem 13 (p.55), and
Ch. 3, Problems 4, 5, 6, 11, 16.
For an R script relating
to (part of) Problem 7 -- similar to the assigned
problems 5 and 6
-- in Chapter 3, click here.
Third HW Due Monday Oct.
15. Ch.3 # 22 and
Ch. 4 Problems 1(a), (c), (d), 5, 10,
15, 17, 23.
Ch.5 Problems #4, 9, 12, 15, 17.
For an Extra Credit Problem Set on which you
can earn up to 60% of the points
you missed on the in-class
test click here. The
due-date for the Take-Home is
Monday, Nov. 19. (Note that the HW5
due date is extended to Wednesday Nov. 21.)
For solutions to the Take-Home, click here.
omitting only Sec. 5.7; also read Ch.6.1-6.6.
Problem Set 5, due Wednesday Nov. 21: Ch.5, #22; Ch. 6, #4 (show
your
computer code or say exactly what you did!), and #5, 9, 13, 15,
20, 21.
and Chapter 9 sections 9.1, 9.2, 9.3.2.
Problem
Set 6, due Monday December 10:
Ch. 7, #9, 16; Ch. 8, #8; Ch. 9, #4, 9, 11.
Course Handouts including HW Solutions:
just the Mu284 dataset linked below omitting the records
for the three largest cities
(numbers 16, 114 137).
Also available are some remarks on the Solutions to Old
Homeworks 1-3 from Fall 2005,
plus additional material on old HW4
and HW5
sol'ns and
old
HW5 remarks.
from the Lohr text,
consisting of summary variables from a SRS of n=100 out of the
N=3141 US Counties. NOTE: I am removing permissions for this
handout because it
is too closely related to the assigned HW problems
(HW2, Fall 07). For now, click
on the link to the R script for #3.7
which you can find right below the HW2
assignment. I will restore the
Handout permissions after HW2 is handed in.
a simulated dataset with binary attributes and 5
strata.
and comparison with other estimators.
in the Lohr book.
the book (Sec. 8.5.2.2), click here .
with brief Solutions
(to all problems except 9b and 10). Another pdf
handout of sample problems for the Exam can be found here: its solutions can be
found at the end of
the same file of Sample Final problem solutions.
Datasets
Mu 284 Dataset
of Sarndal et al,
"The MU284 Population" from Appendix B of
the book "Model Assisted Survey
Sampling" by Sarndal, Swensson
and Wretman.
Boston housing price dataset used for some
exercises/demos.
Important Dates
(Announced during first two classes.)
Also the last day for (undergraduate) schedule adjustments.
(See Course
Handouts above for pdf file of Sample Problems.)
5-6:15pm in regular classroom.
You may bring a calculator and at most
2 (single sided) notebook
sheets of formulas for reference.
Other Links
R web-site from which you can freely
download R software (very
similar to Splus)
including miscellaneous packages and datasets.
StatLib dataset and
software archives
ASA Information on "What is a Survey?"
Return to Eric Slud
home page.
Main departmental page.
Statistics Program page.
Campus Statistics
Consortium page.
© Eric V Slud, December 12, 2007.