STAT 510
Homework 3
Due Date: 11:00 A.M., Friday, February 6
1. Consider slide 38 of slide set 5 on
the movie ratings example. Suppose the average of all the observed
ratings of the first movie 4+3
minus the average of all the observed ratings of the sec
STAT 510
Homework 7
Due Date: 11:00 A.M., Friday, March 6
1. Consider the model
yi = + |xi |i ,
where for i = 1, . . . , n, yi is the response for observation i, is an unknown real-valued parameter,
xi is the ith known nonzero observation of an explanator
STAT 510
Homework 2
Due Date: 11:00 A.M., Friday, January 30
1. Case Study 5.1.1 from The Statistical Sleuth describes a dietary restriction study. Female mice were
assigned to one of the following six treatment groups:
(1) NP: unlimited, nonpurified, sta
STAT 510
Homework 4
Due Date: 11:00 A.M., Friday, February 13
1. Suppose X is an n p matrix and B is a p p non-singular matrix. Prove that
C (X) = C XB 1 .
2. Consider the simple linear regression model
yi = 0 + 1 xi + i
i = 1, . . . , n
where 1 , . . . ,
STAT 510
Homework 8
Due Date: 11:00 A.M., Friday, March 13
1. The following questions refer to the slide set 12 entitled The ANOVA Approach to the Analysis of
Linear Mixed-Effects Models.
(a) Derive the expected mean square for ou(xu, trt) for the ANOVA t
STAT 510
Homework 6
Due Date: 11:00 A.M., Friday, February 27
Consider an experiment conducted at two research labs. Within each lab, four mice were assigned two
treatments using a completely randomized design with two mice per treatment. Let yijk be the
STAT 510
Homework 1
Due Date: 11:00 A.M., Friday, January 23
1. Explain why the relationship between t and F distributions described on slide 19 of slide set 1 is true.
2. Imagine extending a string from (0, 0), the origin in IR2 , to a random point (x, y
STAT 510
Exam 1
Spring 2014
Instructions: The is a closed-notes, closed-book exam. No calculator or electronic device of any kind may
be used. Use nothing but a pen or pencil and blank paper on which to write answers. For questions that
require extensive
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Text
R Code
install.packages("Sleuth3")
install.packages("MASS")
library(Sleuth3)
library(MASS)
data(case0501)
attach(case0501)
# a #
full<-lm(L
STAT 510
Homework 5
Due Date: 11:00 A.M., Friday, February 20
1. Consider an experiment with two factors: A (with levels A1 and A2 ) and B (with levels B1 , B2 , and
B3 ). Suppose an unbalanced, completely randomized design was used to assign experimental