The completely randomized design (CRD)
The one-way analysis of variance (ANOVA)
Unit04: Multiway analyses of variances
Unit02: Completely
and Randomized Design
Balanced experiments, and single replicates
Ray
Surajit
Surajit Ray
School of Mathematics a
#%
#
% ONE WAY ANOVA for the paint data
#%
paint=read.table("http:/www.stats.gla.ac.uk/~sray/teaching/Design/notes/dataset
s/paint.txt",header=T)
attach(paint)
#
boxplot(adhf ~ primer,data=paint,
xlab="Group", ylab="adhf (days)",col="gray")
abline(h=seq(2
Unit00: Introduction
Design of Statistical Investigations
Adapted from Peter Craigmiles Notes
Surajit Ray
School of Mathematics and Statistics
University of Glasgow
-1-
Introductory section
Lecturer
Dr Surajit Ray
School of Mathematics and Statistics
Room
The completely randomized design (CRD)
The one-way analysis of variance (ANOVA)
Unit03: Two-factor Design
Unit02: Completely Randomized Design
Surajit Ray
Surajit
Ray
School of Mathema>cs and Sta>s>cs
University
of Glasgow
The completely randomized design (CRD)
The one-way analysis of variance (ANOVA)
Unit02: Completely Randomized Design
Surajit Ray
School of Mathematics and Statistics
University of Glasgow
-1-
The completely randomized design (CRD)
The one-way analysis of
The completely randomized design (CRD)
The one-way analysis of variance (ANOVA)
Unit06: Randomized Block Design
and
Unit02: Completely Randomized Design
Incomplete Randomize Block Design
Ray
Surajit
Surajit Ray
School of Mathematics and Statistics
Problem Set 1 Design of Experiments
Surajit Ray
1. Bachman, Herzberg, and Rich conducted a factorial study of fluid flow through thin tubes. They
measured the time required for the liquid level in a fluid holding tank to drop from 4 in. to 2 in. for
two d
Problem Set 2 Design of Experiments
Surajit Ray
1. A study of cardiovascular risk factors compared heavy smokers, light smokers, and non-smokers. Both
men and women were included in the study so that the two factors are smoking level and gender.
There wer
Problem Set 3
Surajit Ray
March 4, 2015
1. For each of the following, describe the experimental design used and give a skeleton ANOVA
(sources and degrees of freedom only).
(a) A grocery store chain is experimenting with its weekly advertising, trying to
Unit01: Principals of Design of Experiments
Unit01: Principals of Design of Experiments
Surajit Ray
School of Mathematics and Statistics
University of Glasgow
-1-
Unit01: Principals of Design of Experiments
Statistician vs. Lab Researcher
www.xtranormal.c
The completely randomized design (CRD)
The one-way analysis of variance (ANOVA)
Unit02: Completely Randomized Design
Revision Lecture: Design of Experiments
Ray
Surajit
Surajit Ray
School of Mathematics and Statistics
University
of Glasgow
School of M
The completely randomized design (CRD)
The one-way analysis of variance (ANOVA)
Unit02: Completely Randomized Design
Unit07: Confounded Factorial Experiments
Ray
Surajit
Surajit Ray
School of Mathematics and Statistics
University
of Glasgow
School of
The completely randomized design (CRD)
The one-way analysis of variance (ANOVA)
Unit 05: Analysis of Covariance (handling nuisance factors)
Unit02: Completely Randomized Design
SurajitRRay
Surajit
ay
of Mathematicsaand
Sch
Problem Set 4
Surajit Ray
1. Gillian is planning an experiment investigating the yield of a production process. She has five factors,
A, B, C, D, E and she has two levels for each factor. She has four blocks each of size 8. Discuss which
of the following