Solutions to Assignment 5
Stat 512, Spring 2010
1. (a) Dene the factors as A: plant (i = 1, 2, 3, 4) and B: leaf (j = 1, 2, 3). Factor B is
nested within A. The linear model is
Yijk = + i + j (i) +
2
2
where i N (0, ), + j (i) N (0, ), and
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Stat 512 - Assignment 5
Due Monday, April 19
1. From Snedecor and Cochran (1976). A study of of calcium concentration in
turnip greens. Four plants were selected, three leaves were taken from each
plant, and two 100-mg samples were taken from each leaf. T
Solutions to Assignment 4
Stat 512, Spring 2010
1. (a) No, it doesnt. The old display was used during the rst three-week period, and the
new display (Treatment 1) was used during the second three-week period. Even if
the average change is statistically si
Stat 512 - Assignment 4
Due Friday, April 10
1. Adapted from KNNL, Exercise 22.13. A manufacturer of felt-tip pens developed three new methods to display its product in retail drugstores. Fifteen
drugstores were selected for the study and assigned to the
Solutions to Assignment 3
Stat 512, Spring 2010
> # read in data
> FabricShrink <- read.table("FabricShrink.txt", header=T)
# change fabric and temp to factors and plot
FabricShrink$fabric <- factor(FabricShrink$fabric)
FabricShrink$temp <- factor(FabricS
Stat 512 - Assignment 3
Due Monday, March 29
1. Adapted from Kuehl, Exercise 6.3. A study was conducted to assess the eect
of temperature on the shrinkage of dyed fabric. Four temperatures were applied to four dierent fabrics in a 4 4 crossed design with
Solutions to Assignment 2
Stat 512, Spring 2010
1. (a) Here is R code to enter the data and t the model.
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gain <- c(
4.1, 3.3,
5.2, 4.8,
6.3, 6.5,
6.5, 6.8,
9.5, 9.6,
3.1,
4.5,
7.2,
7.3,
9.2,
4.2,
6.8,
7.4,
7.5,
9.1,
3.6,
5.5,
7.8,
Stat 512 - Assignment 2
Due Monday, February 22
1. An experiment was conducted to test the eects of dierent diets on turkeys.
Thirty turkeys were randomly assigned to ve diet groups, six per group. The
measured response is weight gain (in pounds).
Control
Solutions to Assignment 1
Stat 512, Spring 2010
Grading policy: In general, each homework problem in Stat 512 is worth 5 points.
1. (a) This is an experimental study, because the treatment factor (curriculum) was randomly assigned to classrooms.
(b) A nic
Stat 512 - Assignment 1
Due Monday, February 1
This assignment pertains to material covered in Lectures 17. Please bring hard
copy to class on Monday.
1. (Based on Exercise 15.8 in the textbook.) Three high schools participated in
a study to evaluate the
Denker
SPRING 2010
416 Stochastic Modeling - Assignment 2
SOLUTIONS
Problem 1: E [X |Y = y ] means the expectation of the distribution of X when the outcome y of the random variable Y is known. First we calculate fX |Y (x|y ).
y
fY (y ) =
y
1 y 2 x2 y e d
Denker
SPRING 2010
416 Stochastic Modeling - Assignment 1
SOLUTIONS
Problem 1: (Problem 51, page 92) A coin, having probability p for landing heads, is ipped until head appears for the r -th time. Let N denote the number of ips required. Calculate E [N ].