### Design and Analysis of Experiments - I (STAT-309)

The aim of this course is to deliver the applicable knowledge about Statistics and Experimental Design, which can apply in different fields of study and to develop a skills on the data collection from a designed experiment, description measures of data, interpretation of results, and decision making.

1. To impart basic and applied knowledge about Experimental Design and its applications in different fields.
2. To impart skills on the data collection, description measures of data interpretation of results, and decision making

Contents

Principles of Design of Experiments. Analysis of variance and its assumptions. Cochran theorem. Fixed, random and mixed effect models.Effect of violation of assumptions and transformations.Completely Randomized, Randomized Complete Block, Latin square,Graeco-Latin square and cross-over designs. Missing observations. Relative efficiency of designs. Estimation of mean squares and their expectations.Multiple Comparisons.Analysis of covariance in CR, RCB designs. Estimation of missing values in analysis of covariance.

1. Montgomery, D.C. (2012). “Design and Analysis of Experiments”, 8th ed., John Wiley, New York.
2. Clarke, G. M., & Kempson, R. E. (1994). “Introduction to the Design and Analysis of Experiments”. Wiley.

Distribution of Marks:
Mid Exam:           30

Final exam:         50
Sessional (Assignment,Presentation,Participation,Attendance,Quizes)    20
Scheduled on:

BS V Regular  : Monday (11:00- 12:30)        Tuesday (11:00- 12:30)             Wednesday  (11:00- 12:00)

BS V SS          : Tuesday (12:30-2:00)          Wednesday (12:30-2:00)            Thursday (12:30-1:30)

Week

Topics to be covered

book

1

Experimental design (an introduction), Main Steps in designing an Experiment,

Montgomery

2

Basic Principles of Experimental Design

Montgomery

3

One way ANOVA

Two way ANOVA

Montgomery

4

Multiple Comparison Tests

Montgomery

5

Completely Randomized Design

Estimation of parameters of model

Montgomery

6

Portioning of toal sum of square,

Expected value of different sum of squares.

Montgomery

7

Expected value of different sum of squares

Missing values in CRD

Montgomery

8

Randomized Complete Block Design

Estimation of parameters of model

Montgomery

9

Partitioning of total sum of square in RCBD,

Expected value of different sum of squares in RCBD.

Montgomery

10

Expected value of different sum of squares in RCBD

Missing values in RCBD

Montgomery

11

Missing values in RCBD

Montgomery

12

Latin Square Design (LSD)

Estimation of parameters of model

Montgomery

13

Partitioning of total sum of square in LSD,

Expected value of different sum of squares in LSD.

Montgomery

14

Expected value of different sum of squares in LSD

Missing values in LSD

Montgomery

15

Graeco Latin Square Design

Cross Over Design

Montgomery

16

Analysis of Covariance (ANCOVA)

Montgomery