IE 400
A. Chronopoulou
Choose the appropriate design!
1. Consider an experiment for testing the abrasion resistance of rubber-covered fabric in a Martindale
wear tester. There are four types of material to consider. The response is the loss in weight in 0
IE 400
Homework 6
A. Chronopoulou
Homework 6: BIBD
Due on Tuesday 10/25
For this Homework, feel free to use SAS any way you prefer: you can get all your answers through SAS, or none,
or a mix of SAS and computations by hand. Make sure that you attach only
IE 400
Homework 5
A. Chronopoulou
Homework 5: Latin/Graeco-Latin Square Designs
Due on Tuesday 18/11
For this Homework, feel free to use SAS any way you prefer: you can get all your answers through SAS, or none,
or a mix of SAS and computations by hand. M
IE 400
Homework 7
A. Chronopoulou
Homework 7: Factorial Designs
Due: 11/10 (beginning of class)
1. An engineer is interested in the effects of cutting speed (A), tool geometry (B), and cutting angle
(C) on the life (in hours) of a machine tool. Two levels
IE 400
Homework 7
A. Chronopoulou
Homework 7: Factorial Designs
SOLUTIONS
1. An engineer is interested in the effects of cutting speed (A), tool geometry (B), and cutting angle
(C) on the life (in hours) of a machine tool. Two levels of each factor are ch
IE 400
Homework 4
A. Chronopoulou
Homework 4: Two-Factor ANOVA & CRBD
Solutions
1. In a study of the effect of applicants eye contact (factor A) and personnel officers gender (factor
B) on the personnel officers assessment of likely job success of applica
IE 400
Homework 6
A. Chronopoulou
Homework 6: BIBD
Solutions
1. An automotive engineer wished to evaluate the effects of four rubber compounds on the life of automobile tires. The manufacturing process permitted the use of up to three different compounds
IE 400
Homework 3
A. Chronopoulou
Homework 3: Single & Two Factor ANOVA
solution
1. Filling Machines
A company uses 6 filling machines of the same make and model to place detergent into cartons that
show a label weight of 32 ounces. The production manager
IE 400
Homework 5
A. Chronopoulou
Homework 5: Latin/Graeco-Latin Square Designs
Solutions
1. A manufacturer conducted a small pilot study of the effect of the price of one of its products on
sales of this product in hardware stores. Since it might be conf
IE 400
A. Chronopoulou
Practice Problems on One-Factor ANOVA
Problems from Montgomerys book
(Wherever you see Fishers LSD method, you can use Tukeys or Bonferronis method.)
Page 130, Problem 3.5
Page 131, Problems 3.6, 3.7, 3.9
Page 132, Problems 3.10,
IE 400
Homework 2 - Solutions
A. Chronopoulou
Homework 2: One-Way ANOVA
SOLUTIONS
1. A company, studying the relation between job satisfaction and length of service of employees,
classified employees into three lenght-of-service groups (less than 5 years,
IE 400
Homework 1
A. Chronopoulou
Homework 1: Simple Experiments
Due: Beginning of class Th 09/06
1. Photoresist is a light-sensitive material applied to semiconductor wafers so that the circuit pattern
can be imaged on to the wafer. After application, th
IE 400
Homework 2
A. Chronopoulou
Homework 2: One-Way ANOVA
Due: Beginning of class Th 09/15
1. A company, studying the relation between job satisfaction and length of service of employees,
classified employees into three lenght-of-service groups (less th
Balanced Incomplete Block Design
Alexandra Chronopoulou
Example: Food Product Taste-Testing
A food manufacturer wishes to assess consumer
acceptance of 5 breakfast cereal formulations.
The formulations differ in terms of the amount of
sweetener to be us
Complete Randomized Block Designs
Alexandra Chronopoulou
Basic principles of experimental design
Intervention
Randomization
Replication
Blocking
Balance/ Completeness
Random factors
Randomization
Randomization means that the trials in an experiment
Latin Square Designs
Alexandra Chronopoulou
CRBD: Use of More than One Blocking Variable
Consider the following experiment:
Experimental Unit: Store
Group store with respect to:
Sales Volume (6 classes)
Location (6 classes)
Want to study 6 Treatments
Simple Comparative Experiments
Lectures 2 3
Alexandra Chronopoulou
August 25/ 30, 2016
One Sample Inference for the Mean
Consider a random sample y1 , y2 , . . . , yn from a population
with mean and standard deviation .
Sample mean
n
1X
yi .
y =
n i=1
S
Fractional Factorial Designs
Alexandra Chronopoulou
Factorial Designs
Suppose that you have k factors (A, B, . . ., K) in an
experiment:
What are all the possible factorial effects?
If k = 10, how many runs are required for the experiment?
How many eff
Two Factor Studies
Alexandra Chronopoulou
Fall 2016
Two factor experiments: Examples
Investigate the effects of selling price and type of
promotional campaign on sales of a product.
Study the effects of family income and stage in the life
cycle of the f
The 2k Factorial Design
Alexandra Chronopoulou
The 2k Factorial Design
k Factors
Each factor has 2 levels (often labeled + and )
The factors need not be on numeric scale
A complete replicate of the design requires
2 2 . . . 2 = 2k observations.
When i
Single Factor Analysis of Variance
or One Way ANOVA
Alexandra Chronopoulou
Lectures 3 5
Single Factor ANalysis Of VAriance
ANOVA models are a basic type of model describing the
statistical relation between one or more independent
variables and a dependen
IE 400
Homework 4
A. Chronopoulou
Homework 4: Two-Factor ANOVA & CRBD
Due on Tuesday 10/11
For this Homework, feel free to use SAS any way you prefer: you can get all your answers through SAS,
or none, or a mix of SAS and computations by hand. Make sure t
IE 400 Fall 2016
A. Chronopoulou
IE 300 Review Problems
Solutions will not be posted for these problems, but you are more than welcome to my office hours to
discuss their solution!
1. A physician claims that joggers maximal volume oxygen uptake is greater