Assignment 7 Solutions
1. Latin square designs may be used when blocking is done with respect to two different
variables. Consider a field that slants downward as you move from west to east, so the
western part of the field is higher th
Reading Assignment: PACQ: Chapters 1 and 2. Review Appendices A through D as needed.
Sleuth, Chapters 11 and 12.
Written Assignment: This assignment is due in class on Tuesday, Nov 11.
Second Exam: The second exam will be
STATISTICS 500 Fall 2009 Homework 1 DUE DATE: on campus Friday, 4 Sept 2009, in lecture (11 am) off campus Tuesday, 8 Sept 2009, by 4 pm to Nicole Rembert, email: [email protected] or FAX: 515-294-4040 (please include cover page with Stat 500 / Nicole
Reading Assignment: PACQ, Chapters 3 and 6
Written Assignment: Do not turn in this assignment. Answers will be posted on the course webpage.
Final Exam: The final exam will be given at 9:45-11:45 on Monday, December 15. This
Assignment 5 Solution
1. In 1879, A. A. Michelson made 100 determinations of the velocity of light in air using a
modification of a method proposed by the French physicist Foucault. The data used in this
analysis were repo
Assignment 2 Solutions
1. Three of the basic principles of designed experiments are: replication, randomization, and
control of the effects of extraneous variables. Describe how well each of the following
Reading Assignment: Chapters 1 through 6 of The Statistical Sleuth will be covered on the
exam. If you have spare time, begin reading Chapter 23 and Section
24.4 of The Statistical Sleuth.
Reading Assignment: PACQ: Chapters 1, 2, 3 and 6.
Written Assignment: Due in lab on Dec 9, 2014
The final exam will be given at 9:45-11:45 on Monday, December 15. This is a
closed-book, in-class exam. It will emp
Reading Assignment: The Statistical Sleuth, Chapters 13 and 14 (Analysis of factorial
experiments) and Chapter 7 (Regression analysis)
Due Date: Tuesday, October 28, in lab.
1. A completely randomized two factor experiment
Reading Assignment: Chapters 1 through 6, chapter 23, and section 24.4 of The Statistical
Sleuth will be covered on the exam.
Solutions are posted on the course web page.
Tuesday, October 14 from 2
Sleuth, Chapters 7, 8 and 9
PACQ, Review Appendices A and B and read Chapter 1
Due Tuesday, November 4 in class.
Do the conceptual exercises at the end of chapt
Wednesday, November 19, at 5 pm. You may submit you paper any time before
the due date. You may submit your solutions electronically via e-mail or you may
submit handwritten or typed solutions on paper. Early submissio
when c is a scalar
E(Y ) f (y)dy
for any vector V that is a linear combination
of the columns of X.
Projection matrix: You may use the facts that
projection matrices are idempotent and symmetric,
and PX is invariant to the choice of (X T X) ,
Lab time will be used for the following activities:
1. Case studies: applying lecture material to anlysis of data
2. Statistical Computing: Learning about SAS software
3. Discussion of new assignments
Lab 2: Fall 2014
The following data were examind in Lab 1. We will image these data to arise from a randomized
experiment, with treatments randomly assigned to experimental units. There are 10 observations
Solutions to Assignment 12
1. (a) From Theorem 14 in the lecture notes, E (Y AY ) = tr(A) + A = 3 + 12 = 15, because A = I33 .
(b) Frome Theorem 15, V ar(Y AY ) = 4 AA + 2tr(AA) = 48 + 6 = 54 since AA = I33
(c) Because A = I33 it is idempotent.
Gold standard (best available treatment)
Untreated (placebo) group
Comparison with a control group
Accurate measurement of outcomes (responses)
Use homogeneous experimental units
Control non-intervention factors
Control of extraneous variatio
Stat 500 Homework 12 answers 2009
Notes are marked by
1. Bottling machines
(a) Yes, there are no blocks in the design. However, this is not a reasonable analysis.
Days are subsamples; there are only 12 e.u.s. A more appropriate analysis would be
Instructions: You have two hours to complete this exam. Write answers in the space
provided on this exam. If you need more room, use the back of the page or
attach additional sheets of paper, but clearly indicate where this
Exam I Solutions
1. In an investigation of possible brain damage due to alcoholism, an X-ray procedure known as
computerized tomography (CT) scan was used to measure brain densities in nine chronic
alcoholics. Control subjects were sele
EXAM I Solutions
a. (4 points) This is an experiment since an intervention (increasing the amount of
ceiling and wall insulation) was imposed on the houses by the researchers.
b. (4 points) Identify each of the following features of thi
Solutions to Assignment 9
1a. b 0 =62.46 with s b0 =1.106; and
b 1 =0.104 with s b1 =0.00477
1b. The data appear to be consistent with the assumption of normally distributed
random errors. However, the next part suggests that the residu
Solutions to Assignment 8
The top profile on the plot is for intervenous injection, the middle profile is
the extended release pill, and the lower profile is the standard pill. Each of
the three profiles indicates that concentration
Solutions and Comment on Assignment 3
1. Suppose Z is a random variable with a standard normal distribution, i.e., Z N(0,1).
a. Pr cfw_Z 0.75 =0.7734
b. Pr cfw_Z > 1.00 =1-0.8413=0.1587
c. Pr cfw_Z 1.282 =0.100
d. Pr cfw_0.98 Z 1.42 = 0
Assignment 4 Solutions
1. On January 27, 1986, the night before the space shuttle challenger exploded during launch,
engineers at the company the built the shuttle warned officials at the National Aeronautics
and Space Administration (N
Assignment 6 Solutions
1. Ten patients who suffered from a certain sleep disorder were examined in a study of the
effectiveness of a particular drug as an aid to sleep. The average number of hours of sleep
per night was recorded for thr
Assignment 1 Solutions
1. The data considered in this task are part of the data analyzed by Littell, Freund, and
Spector (1991). Subjects in the study participated in one of three different weightlifting
programs and their str
One-way ANOVA Example
Cash oers for cars
12 owners in each group, ea
CDF (distribution, quantile < , parm-1, , parm-k > )
is a character constant, variable, or expression that identifies the distribution. Valid
distributions are as follows: