Applied Statistics and Probability for Engineers

504 CHAPTER 13 DESIGN AND ANALYSIS OF SINGLE-FACTOR EXPERIMENTS: THE ANALYSIS OF VARIANCE

MIND-EXPANDING EXERCISES

100(1)% confidence interval on the difference in

any two treatment means is

(a) Show that if Ais the desired accuracy of the interval,

the sample size required is

n

2 F 2,1,a 1 n 12 MSE

A^2

t 2,a 1 n 1212 MSE n.

(b) Suppose that in comparing a5 means we have a

preliminary estimate of ^2 of 4. If we want the 95%

confidence interval on the difference in means to

have an accuracy of 2, how many replicates should

we use?

In the E-book, click on any

term or concept below to

go to that subject.

Analysis of variance

Blocking

Complete randomized

experiment

Expected mean squares

Fisher’s least significant

difference method

Fixed factor

Multiple comparisons

Nuisance factors

Random factor

Randomization

Randomized complete

block design

Residual analysis and

model adequacy

checking

Sample size and replica-

tion in an experiment

Variance component

CD MATERIAL

Graphical comparison

of means

Orthogonal contrasts

Tukey’s test

IMPORTANT TERMS AND CONCEPTS

c 13 .qxd 5/8/02 9:21 PM Page 504 RK UL 6 RK UL 6:Desktop Folder:TEMP WORK:PQ220 MONT 8/5/2002:Ch 13: