Welcome
Preface
1
Introduction
1.1
Design of experiments
1.2
A simple example
1.3
Importance of DoE
1.4
Characteristics of a good design
1.5
Brief history
1.6
Some terms involved
1.6.1
Treatments
1.6.2
Control
1.6.3
Experimental units
1.6.4
Response
1.6.5
Factors
1.6.6
Factor levels
1.6.7
Observational Unit
1.7
Experimental error
1.8
Basic principles of design
1.8.1
Randomization
1.8.2
Replication
1.8.3
Local control
(error control)
1.9
Other methods of error control
1.9.1
Proper Plot Technique
1.9.2
Data Analysis
2
Uniformity trials
2.1
How uniformity trial is performed
2.2
Fertility Contour Map
2.3
Serial Correlation
2.4
Mean square between strips
2.5
Fairfield Smith’s Variance Law
2.5.1
Smith’s index of soil heterogeneity
2.6
Maximum Curvature Method
2.7
Uniformity trial explained
2.7.1
Fertility contour map
2.7.2
Serial Correlation
2.7.3
Mean square between strips
2.7.4
Smith’s index of soil heterogeneity
2.7.5
Maximum Curvature Method
3
Analysis of Variance (ANOVA)
3.1
Null hypothesis in ANOVA
3.2
Degrees of freedom
3.3
Mean squares
3.4
Test Statistic F
3.5
Assumptions of ANOVA
3.6
Types of ANOVA
3.6.1
One-way ANOVA
3.6.2
Two-way ANOVA
3.7
Models under ANOVA
3.7.1
Fixed effects model
3.7.2
Random effects model
3.7.3
Mixed effects model
4
Multiple comparison test
5
Single factor experiments
5.1
Completely Randomized Design (CRD)
5.1.1
Randomization procedure
5.1.2
Layout of CRD
5.1.3
Statistical model for CRD
5.1.4
Analysis of CRD
5.1.5
Example
6
How to use F table
6.1
Generate critical value of F using excel
7
References
Published in MeLON
LECTURE NOTES OF STAT 512
LECTURE NOTES OF STAT 512
Dr. Pratheesh P. Gopinath
2022-01-30
Welcome
Welcome to the book
LECTURE NOTES ON EXPERIMENTAL DESIGNS
.
