STA408 Official Handouts

Contents

Design and Analysis of Experiment . . . . . . . . . . . . . . . . . . . . . . . . . .

Basic Principles of Experimental Design

Classifications of Randomized Designs

Basic Concepts of ANOVA

An Overview Assumptions of ANOVA . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . F-test

10. 1 Steps for performing ANOVA for CRD . . . . . . . . . . . . . . . . . . . .
11. 2 Assumptions of CRD . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
12. 3 Advantages of a CRD . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
13. 4 Disadvantages . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
14. 5 Experimental Layout . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Randomized Complete Block Design

Main Points . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

11. 1 Experimental Layout . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
12. 2 Statistical Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
13. 3 Partitioning of Variations
14. 4 Advantage and Disadvantages of RBCD

RCBD with Replications within Blocks

12. 1 Missing Observations in RCBD

Efficiency of RCBD Relative to A CRD . . . . . . . . . . . . . . . . . . . . . . . .

Latin Square Design-I

14. 1 Layout . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
15. 2 Mathematical Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
16. 3 Statistical Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Latin Square Design-II

Latin Square . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . CONTENTS

15. 1 Advantages and Disadvantages
16. 2 Missing Observations in Latin Square Design . . . . . . . . . . . . . . . . .

Latin Square Designs-II

Efficiency of Latin Square Designs . . . . . . . . . . . . . . . . . . . . . . . . . . . Multiple Comparison Tests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

17. 1 LSD Test

Factorial Design

18. 1 What is a Factorial Design? . . . . . . . . . . . . . . . . . . . . . . . . . .
19. 2 Advantage and Disadvantages of Factorial Experiment

2k and 22 Factorial Design

2k Factorial Design . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 Factorial Design . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

10 23 Factorial Design

23 Factorial Design . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Properties of Sign Table

eriment

Lecture 1 · Lesson 1: Design and Analysis of Experiment · Definition 1.1

Planning an experiment to obtain appropriate data and drawing inference out of the data with respect to any problem under investigation is known as design and analysis of experiment.

Terminologies

Definition 1.2

EXPERIMENT: An experiment deliberately imposes a treatment on a group of objects or subjects in the interest of observing the response.

Definition 1.3

EXPERIMENTAL UNIT: The experimental unit is the basic entity or unit on which the experiment is performed. It is an object to which the treatment is applied and in which the variable under investigation is measured and analyzed. For example, experimental unit may be: a single person, animal, plant, manufactured item, or country that belongs to a larger collection of such entities being studied.