Department of Mathematicscoretheory

COMBINATORICS AND DESIGN OF EXPERIMENTS

MAT 4407

Syllabus

01Design of Experiments: Meaning and terminology - experiment, 'treatment, experimental unit, experimental error and precision
02Basic Principles of experimental design - Randomisation, Replication, Local Control
03Incomplete and complete block designs, BIBD, PBIBD - concepts & analysis
04CRD, RBD and LSD: Layout, model, splitting of Total variation into different components, least square estimates of effects, ANOVA tables
05Multiple comparisons: Tuckey's method, critical difference, advantages and limitations of each design
06Missing plot technique: Estimation of one or two missing observations in RBD and LSD (least square estimates)
07ANOVA in case of missing observations
08Factorial experiments: Meaning and advantages, factorial experiments in RBD and LSD, main and interaction effects
09Yates' method of computing factorial effect totals, ANOVA table and inferences
10Contrasts and orthogonal contrasts

Cochran, W. G., & Cox, G. M. (1959). Experimental Designs. Wiley Eastern.
Federer, W. T. (1963). Experimental Designs. Oxford & IBH Publishing Co.
Gupta, S. C., & Kapoor, V. K. (2001). Fundamentals of Applied Statistics. Sulthan Chand & Co.
Robert Kabacoff, I. (2015). R in Action - Data Analysis and Graphics with R, second edition. Dreamtech Press
Sudha Purohit, G., Sharad Gore, D., & Shailaja Deshmukh, R. (2008). Statistics Using R. Narosa Publishing House.

Credits Structure

3Lecture

0Tutorial

0Practical

3Total