Chapter 10
Partial Confounding
The objective of confounding is to mix the less important treatment combinations with the block effect
differences so that higher accuracy can be provided to the other important treatment comparisons. When
such mixing of tre

Chapter 8
Factorial Experiments
Factorial experiments involve simultaneously more than one factor each at two or more levels. Several
factors affect simultaneously the
characteristic under study in factorial
experiments and the
experimenter is interested

Chapter 1
Some Results on Linear Algebra, Matrix Theory and Distributions
We need some basic knowledge to understand the topics in analysis of variance.
Vectors:
A vector Y is an ordered n-tuple of real numbers. A vector can be expressed as row vector or

Chapter 7
Partially Balanced Incomplete Block Design (PBIBD)
The balanced incomplete block designs have several advantages. They are connected designs as well
as the block sizes are also equal. A restriction on using the BIBD is that they are not availabl

Chapter 4
Experimental Design and Their Analysis
Design of experiment means how to design an experiment in the sense that how the observations or
measurements should be obtained to answer a query in a valid, efficient and economical way. The designing
of

Chapter 11
Fractional Replications
Consider the set up of complete factorial experiment, say 2k . If there are four factors, then the total
number of plots needed to conduct the experiment is 24 16. When the number of factors increases to
six, then the re

Chapter 9
Confounding
If the number of factors or levels increase in a factorial experiment, then the number of treatment
combinations increases rapidly. When the number of treatment combinations is large, then it may
be difficult to get the blocks
of suf

Chapter 5
Incomplete Block Designs
If the number of treatments to be compared is large, then we need large number of blocks
accommodate all the treatments. This requires more experimental material and so
to
the cost of
experimentation becomes high which m

Chapter 3
Experimental Design Models
We consider the models which are used in designing an experiment. The experimental conditions,
experimental setup and the objective of the study essentially determine that what type of design is to
be used and hence wh

Chapter 6
Balanced Incomplete Block Design (BIBD)
The designs like CRD and RBD are the complete block designs. We now discuss the balanced
incomplete block design (BIBD) and the partially balanced incomplete block design (PBIBD) which
are the incomplete b

Chapter 12
Analysis of Covariance
Any scientific experiment is performed to know something that is unknown about a group of treatments
and to test certain hypothesis about the corresponding treatment effect.
When variability of experimental units is small

Chapter 2
General Linear Hypothesis and Analysis of Variance
Regression model for the general linear hypothesis
Let Y1 , Y2 ,., Yn be a sequence of n independent random variables associated with responses. Then
we can write it as
=
E (Yi )
p
=
j xij , i