STAT 526 Spring 2011
Practice Final Exam
Time: 2 hours
Name (please print):
Show all your work and calculations. Partial credit will be given for work that is partially correct.
Points will be deducted for false statements, even if the nal answer is corre
STAT 526 - Spring 2011
Olga Vitek
Homework 5 - Solution
Each part of the problems 5 points
1. Agresti 10.1 (a) and (b).
Let Patient Die
Yes
No
1097
90
203
435
1300
525
Suicide
Yes
No
sum
sum
1187
638
1825
(a) Test of marginal homogeneity : H0 : 1+ = +1 ,
STAT 526 Spring 2011
Final Exam
Thursday May 5, 2011
Time: 2 hours
Name (please print):
Show all your work and calculations. Partial credit will be given for work that is partially correct.
Points will be deducted for false statements, even if the nal ans
STAT 526
HW 2
FALL 2009
1. Consider the Gamma distribution G(, ) with the density
y
y 1
1
, y > 0, > 0, > 0.
exp
()
y
(a) Write the density in the standard exponential family form. Identify the canonical
parameter and the functions a(), b(), and c(y,
STAT 526
HW 7
FALL 2009
1. Consider the survival model characterized by the following piecewise-constant hazard
function:
0 t < 1
1 ,
(t) = 2 ,
1 t < 2
3 ,
2 t
where 1 and 2 are known constants. Derive the MLEs of 1 , 2 , and 3 and their
standard errors
STAT 526
HW 1
FALL 2009
Data collected from 1993 new models of passenger cars can be found in the Cars93 data
frame in the MASS package. To load the data, simply type
data(Cars93,package=MASS)
Use the on-line documentation to check out details concerning
STAT 526
HW 6
FALL 2009
1. Consider again the minn38 data in the MASS package, but this time we take hs as
response and fol and sex as predictors. Fit a proportional odds model to the data,
assess its adequacy, and briefly report your findings.
2. Conside
STAT 526
HW 7
FALL 2009
1. Consider the survival model characterized by the following piecewise-constant hazard
function:
0 t < 1
1 ,
(t) = 2 ,
1 t < 2
3 ,
2 t
where 1 and 2 are known constants. Derive the MLEs of 1 , 2 , and 3 and their
standard errors
STAT 526
HW 4
FALL 2009
The Minnesota high school graduates of 1938 were classified according to four factors, as
given in the minn38 data in the MASS package. Load the data using the following commands.
library(MASS); data(minn38)
Check the on-line docum
STAT 526
HW 3
FALL 2009
1. A systems analyst studied the effect of computer programming experience on ability
to complete within a specified time a complex programming task. Twenty four persons
were selected for the study. The amounts of programming exper
STAT 526
HW 2
FALL 2009
1. Consider the Gamma distribution G(, ) with the density
y 1
1
y
exp
, y > 0, > 0, > 0.
()
y
(a) Write the density in the standard exponential family form. Identify the canonical
parameter and the functions a(), b(), and c(y,
STAT 526
HW 3
FALL 2009
1. A systems analyst studied the effect of computer programming experience on ability
to complete within a specified time a complex programming task. Twenty four persons
were selected for the study. The amounts of programming exper
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STAT 526
HW 8
FALL 2009
1. A data set concerning diet and tumor development is given in the data frame diet
with components futime (follow-up time, X), fustat (follow-up status, ), and fat;
see Le (1997, pages 14, 37) for a full explanation of the data.
(
STAT 526 - Spring 2011
Olga Vitek
Homework 10 - Solution
Each part of the problems 5 points
1. Faraway Ch. 4 problem 1 (page 93) : The dataset parstum contains cross-classied data on marijuana
usage by collge students as it relates to the alcohol and drug
STAT 526 - Spring 2011
Olga Vitek
Homework 10
Each part of the problems 5 points
Due in class or by email before 9am on Thursday April 21
1. Faraway Ch. 4 problem 1 (page 93).
2. [Methods qualifying exam, August 2010: use paper and pencil.] You conduct a
STAT 526 Practice exam
Midterm 1
Spring 2011
Time: 2 hours
Name (please print):
Show all your work and calculations. Partial credit will be given for work that is partially correct.
Points will be deducted for false statements, even if the nal answer is c
STAT 526 - Spring 2011
Olga Vitek
Homework 11 - Solution
Each part of the problems 5 points
1. The survival times of 11 patients with Acute Myelogenous Leukemia are given below:
9, 13, 13+ , 18, 23, 28+ , 31, 34, 45+ , 48, 161+ ,
where censored data are m
STAT 526 Spring 2011
Midterm 1
Wednesday February 2, 2011
Time: 2 hours
Name (please print):
Show all your work and calculations. Partial credit will be given for work that is partially correct.
Points will be deducted for false statements, even if the na
STAT 526 Practice exam
Midterm 1
Spring 2011
Time: 2 hours
Name (please print):
Show all your work and calculations. Partial credit will be given for work that is partially correct.
Points will be deducted for false statements, even if the nal answer is c
STAT 526 - Spring 2011
Olga Vitek
Homework 9 - Solution
Each part of the problems 5 points
1. Agresti 4.18 : For known k, show that the negative binomial distribution has exponential family form
with natural parameter log +k .
Answer:
f (y; k, )
(y + k)
k
STAT 526 - Spring 2011
Olga Vitek
Homework 3 - Solution
Each part of the problems 5 points
1. KNNL 25.17
(Note: you can choose either the restricted or the unrestricted version of the model. Please state clearly
which model you use.)
Here is the unrestric
STAT 526 - Spring 2011
Olga Vitek
Homework 1
Each part of the problems 5 points
Due in class or by email before 9am on Thursday January 20
1. [Data analysis problem: use R.] The dataset swiss in the library faraway records
standardized fertility measure a
STAT 526 - Spring 2011
Olga Vitek
Homework 1
Each part of the problems 5 points
Due in class or by email before 9am on Thursday January 20
1. The dataset swiss in the library faraway records standardized fertility measure and
socio-economic indicators for
STAT 526 - Spring 2011
Olga Vitek
Homework 6 - Solution
Each part of the problems 5 points
1. Project proposal
2. Agresti 7.1
(a) The prediction equation is
ln
1
2
=
G
G
R
R
(1 2 ) + (1 2 )x1 + (1 2 )x2
=
(0.883 + 0.758) + (0.419 0.105)x1 + (0.342 0.271)x
STAT 526 - Spring 2011
Olga Vitek
Homework 4 - Solution
Each part of the problems 5 points
1. Project groups.
2. Agresti 2.3.
Safety Equipment in Use
None
Seat belt
Fatal
1601
510
Injury
Nonfatal
162,527
412, 368
response variable : the number of acciden