Analysis of Variance and Design of Experiments

Paper Code: 
STT 602
Credits: 
3
Contact Hours: 
45.00
Max. Marks: 
100.00
Objective: 

This paper aims at teaching the students about Analysis of Variance and Design of Experiment.

8.00
Unit I: 
Analysis of Variance - I

Linear Model and its different types (only introduction). Concept of ANOVA (i).One-way classified data.(ii)Two-way classification with one observation per cell. Fixed effect models of (i) and (ii) and the assumptions involved. Effects of violation of assumptions made in ANOVA.

 

9.00
Unit II: 
Analysis of Variance – II

Estimation of treatment effects and treatment differences. Expectation of sum of squares, variance of the estimates for both one-way and two-way classified data and critical difference.

9.00
Unit III: 
Design of Experiments – I

Need for design of experiments, Meaning of experiment, experimental unit, treatment, field, block, experimental error, precision, uniformity trials. Fundamental principles of design of experiments- replication, randomization and local control, Efficiency of design choice of size and shape of plots and blocks.

10.00
Unit IV: 
Design of Experiments – II

Basic designs( with one observation per cell and fixed effects model)- Completely Randomized Design, Randomized Block Design - Analysis of these designs, standard error of treatment differences, efficiency of RBD over CRD, their advantages , disadvantages and usages. Missing Plot Techniques, Estimation of single missing value in RBD

9.00
Unit V: 
Design of Experiments – III

Latin Square Design – Its analysis, least square estimates, expectation of sum of squares, efficiency of LSD over CRD and RBD. Estimators of single missing value in LSD. Factorial experiments- 2 2 experiments, main effects, interaction effects and their analysis.

Essential Readings: 

1. Goon, A.M. Gupta, M.K. and Dasgupta, B. (2001): Fundamentals of Statistics (Volume II), The World Press Pvt Ltd, Kolkata, VII Edition.

2. Gupta, S.C. &. Kapoor, V.K: Fundamentals of Applied Statistics,Sultan Chand & Sons, New Delhi.

3. Das, M.N. and Giri, N.C. (2002): Design and Analysis of Experiments, New Age International Publisher, Second Edition.

References: 

1. Joshi, D.D. (2003): Linear Estimation and Design of Experiments, New Age International Publisher.

2. Montgomery D.C.: Design and Analysis of Experiments, Sixth Edition, Wiley Eastern Ltd. Limited.

3. Cochran, W.G. and Cox, G.M.(1957): Experimental Design, Asia Publishing House.

Academic Year: 
2019-2020
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