Solutions from Montgomery, D. C. (2004) Design and Analysis of Experiments, Wiley, NY
HW#2 Solutions
3-1 The tensile strength of portland cement is being studied. Four different mixing techniques can be
used economically. The following data have been coll
MTH 546 Quiz#1
Spring 2009
1. What are the three basic principles in designing experiments? Write out their
definitions (an informal description is fine).
2. Suppose we are given data from two populations, X 1 ,
Y1 ,
, X n N ( 1 , 12 ) and
2
, Ym N ( 2 ,
MTH 546 Quiz#6
Spring 2009 1. What is a factorial design? What are the advantages of factorial design?
2. For a two-factor factorial design, suppose we have factor A (a levels) and B (b levels). Suppose we repeat the experiment n times. Please list the ob
MTH 546 Quiz#7
Spring 2009
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 23 factorial design ar
MTH 546 Quiz#5
Spring 2009 1. What is a Latin square? In Latin square design, how many sources of variability do we have? What are they? Essentially how many block factors do we have? Please give an example of 5 5 standard Latin square.
2. For a p p Latin
MTH 546 Quiz#4
Spring 2009 1. In a complete randomized block design, what is a block? Please briefly describe the design process. Please list the obtained data in a table.
2. For the data given in problem 1, please write the effect model to describe the d
MTH 546 Quiz#2
Spring 2009
1. For single factor design, suppose we have a treatments, for each treatment i , we
have ni observations. Let Yij be the j-th observation in the i-th treatment. Please list
the data in a table, and also please list the treatmen
MTH 546 Quiz#3
Spring 2009 1. For single factor design, suppose we use ANOVA to test whether the treatment means are equal or not. What conditions do we need to check before we perform the ANOVA analysis? Please sketch a normal probability plot which supp
MTH 546 Quiz#8
Spring 2009
1. What is confounding in the 2^k factorial design? For a 2^4 factorial design, suppose
we have factors A, B, C, and D; if we want to assign the 16 runs in two blocks and
confound interaction effect ABCD. Please find the block a
Solutions from Montgomery, D. C. (2004) Design and Analysis of Experiments, Wiley, NY
Chapter 2
Simple Comparative Experiments
Solutions
2-2 The viscosity of a liquid detergent is supposed to average 800 centistokes at 25C. A random sample of 16 batches o
Solutions from Montgomery, D. C. (2004) Design and Analysis of Experiments, Wiley, NY
Chapter 5
Introduction to Factorial Designs
Solutions
5-1 The yield of a chemical process is being studied. The two most important variables are thought to
be the pressu
Solutions from Montgomery, D. C. (2004) Design and Analysis of Experiments, Wiley, NY
Chapter 6
k
The 2 Factorial Design
Solutions
6-5 A router is used to cut locating notches on a printed circuit board. The vibration level at the surface
of the board as
Solutions from Montgomery, D. C. (2004) Design and Analysis of Experiments, Wiley, NY
Chapter 4
Randomized Blocks, Latin Squares, and Related Designs
Solutions
4-19 An industrial engineer is investigating the effect of four assembly methods (A, B, C, D) o
Solutions from Montgomery, D. C. (2004) Design and Analysis of Experiments, Wiley, NY
Chapter 4
Randomized Blocks, Latin Squares, and Related Designs
Solutions
4-2 Three different washing solutions are being compared to study their effectiveness in retard
Solutions from Montgomery, D. C. (2004) Design and Analysis of Experiments, Wiley, NY
HW#3 Solutions
3-12 A manufacturer of television sets is interested in the effect of tube conductivity of four different
types of coating for color picture tubes. The fo