Class 3 - Chapter 5 Solutions
5.2. The following output was obtained from a computer program that performed a two-factor ANOVA
on a factorial experiment.
Two-way ANOVA: y versus A, B
Source
DF
SS
MS
F
P
A
1
?
0.0002
?
?
B
?
180.378
?
?
?
Interaction
3
8.4

Class 5 - Chapter 7 - Solutions
7.2 Consider the experiment described in Problem 6.5. Analyze this experiment assuming that each one of the
four replicates represents a block.
Source of
Sum of
Degrees of
Mean
Variation
Squares
Freedom
Square
F0
Bit Size (

Class 6 - Chapter 8 -Solutions
4
8.6 In the Example 6.6, a 2 factorial design was used to improve the response rate to a credit card marketing offer.
Suppose that the researchers had used the 2 fraction factorial design with I=ABCD instead. Set up the des

Class 2 - Chapter 3, 4 Solutions
3.51 Use the Kruskal-Wallis test for the experiment in Problem 3.23. Are the results comparable to those
found by the usual analysis of variance?
The current ANOVA indicates that the insulating fluids are not significant a

Stat 430 / Stat 830: Experimental Design
Regression Model for ANOVA
May 17, 2016
Regression Model for ANOVA
I
yij = + i + ij , i = 1, 2, . . . , a; j = 1, 2, . . . , n
I
Least square estimation of model parameters
I
Minimize
P P
P P
L = ai=1 nj=1 (yij yij

Statistics 430 / 830: Experimental Design
Assignment #3
Due Tuesday 19 July 2016
1 A manufacturer suspects that the batches of raw materials furnished by his supplier differ significantly in
calcium content. There are a large number of batches currently i

University of Waterloo
Stat 430 / STAT 830 : Experimental Design
Fundamental Principles
Instructor
Asokan Mulayath Variyath
May 02, 2016
Outline
I
Introduction
I
Examples
I
Some Terminology
I
Objectives of Experiments
Three Basic Principles
I
I
I
I
I
Repl

Statistics 430 / 830 : Experimental Design
Assignment #2
Due 10am, Friday, June 10, 2016
1. An aluminum master alloy manufacturer produces grain refiners in ingot form. The company produces
the product in four furnaces. Each furnace is known to have its o

Stat 430 / 830
Review
July 28, 2016
Experiments
Why experiments
Difference between experiments and observational studies
Principles of Experimentation
Randomization
Replication
Local Control (blocking)
Single Factor Experiments
Comparing mean with a

Stat 430 / Stat 830: Experimental Design: Spring 2016
Assignment #1
Due 2pm on Friday, 27 May 2016
(Assignment Drop Box 15 at MC)
Q.1. As a part of market research, a large supermarket chain interested to investigate the effect of shelf
placement of three

Taguchis Approach to
Experimental Design
STAT 430 /830
21 July 2016
Dr Genechi Taguchi (1924-2012)
2
Taguchi
Born and raised at textile town, Tokamachi, Japan
Studied textile engineering, later moved to Astronomical
department of Navigational institute

Stat 430 / 830
Fractional Factorial Experiments
July 19, 2016
Construction of the One-Half Fraction
A one-half fraction of the 2k design of the highest resolution may be
constructed by writing down a basic design consisting of the runs for
a full 2k-1

Solution 1 September 15, 2015
3.3.
A computer ANOVA output is shown below. Fill in the blanks. You may give bounds on the P-value.
One-way ANOVA
Source
DF
SS
MS
F
P
Factor
3
36.15
?
?
?
Error
?
?
?
Total
19
196.04
Completed table is:
One-way ANOVA
Source

Class 10 - Chapter 14 - Solutions
14.2. The surface finish of metal parts made on four machines is being studied. An experiment is conducted in
which each machine is run by three different operators and two specimens from each operator are collected and
t

Class 9 - Chapter 13 - Solutions
13.1. An experiment was performed to investigate the capability of a measurement system. Ten parts
were randomly selected, and two randomly selected operators measured each part three times. The
tests were made in random o

Class 7 Chapter 8 - Solutions
8.25. Construct a 2 51 design. Show how the design may be run in two blocks of eight observations each. Are
any main effects or two-factor interactions confounded with blocks?
A
+
+
+
+
+
+
+
+
B
+
+
+
+
+
+
+
+
C
+
+
+
+
+
+

Class 8 Chapter 11- Solutions
11.2. An industrial engineer has developed a computer simulation model of a two-item inventory system. The
decision variables are the order quantity and the reorder point for each item. The response to be minimized is the
tot

Homework Chapter 15
Solutions
15.11 A soft drink distributor is studying the effectiveness of delivery methods. Three different types of hand
trucks have been developed, and an experiment is performed in the companys methods engineering laboratory.
The va

Expected Mean Squares
Rules Cornfield and Tukey
Restricted Model
1. Write the appropriate model for the design.
Explicitly indicate nested effects. Let T be the
number of terms in the model that have subscripts
and S the number of subscripts.
2. Each subs

Stat 430/830
Lecture November 24, 2015
Using Software for Unbalanced Data
Need to take care on the type of sum of squares reported by the
program.
Notation:
SS(,A,B,C) or R(,A,B,C) : indicates the regression sum of
squares when the parameters ,A,B,C are f

Stat 430 / 830: Experimental Design:
Assignment #4
Due 26 July 2016
1. Construct a 25 factorial experiment in two blocks where the interaction ABCD is confounded with block
effect.
2. Construct a factorial experiment 262 with generators F=ABC, E=AB (i.e.

Class 4 - Chapter 6 - Solutions
6.1. An engineer is interested in the effects of cutting speed (A), tool geometry (B), and cutting angle on the life
(in hours) of a machine tool. Two levels of each factor are chosen, and three replicates of a 2 3 factoria