**DESCRIPTION OF COURSES**

**AS 564 DESIGN OF EXPERIMENTS (3L+1P)**

**Objective**

Design of Experiments provides the statistical tools to get maximum information from least amount of resources. This course is meant to expose the students to the basic principles of design of experiments. The students would also be provided with mathematical background of various basic designs involving one-way and two way elimination of heterogeneity and their characterization properties. This course would also prepare the students in deriving the expressions for analysis of experimental data.

**Theory**

UNIT I

Basic principles of design of experiments: randomization, replication and local control. Uniformity trials: size and shape of plots and blocks. Elements of linear estimation. Analysis of variance and covariance.

UNIT II

Completely randomized design (CRD), Randomized complete block design (RCBD) and Latin square design (LSD). Mutually orthogonal latin squares. Graeco Latin squares. Missing plot techniques.

UNIT III

Factorial experiments, Confounding in symmetrical factorial experiments (2n and 3n series), Balanced factorial experiment. Split plot and Strip-plot designs.

UNIT IV

Balanced incomplete block (BIB) designs - general properties and analysis with and without recovery of information. Construction of BIB designs, Youden square designs, Lattice designs. Cross-over designs. Groups of experiments.

UNIT V

Bioassays- direct and indirect, indirect assays based on quantal dose response, parallel line and slope ratio assays, potency estimation.

**Practicals**

Uniformity trial data analysis, Analysis of data obtained from CRD, RCBD, LSD. Analysis of factorial experiments without and with confounding; Analysis with missing data, Split plot and strip plot designs. Analysis of data obtained from BIB design.

**Suggested Readings**

- Cochran, W.G. and Cox, G.M. 1957.
*Experimental Designs*. John Wiley. - Das, M.N. and Giri, N.C. 1986.
*Design and Analysis of Experiments*. New Age. - Dean, A.M. and Voss, D. 1999.
*Design and Analysis of Experiments*. Springer. - Dey, A. 1986.
*Theory of Block Designs*. Wiley Eastern Ltd. - Federer, W.T. 1956.
*Experimental Design –Theory and Application*. - Macmillan. Federer, W.T. 1985.
*Experimental Designs*. MacMillan. - Fisher, R.A. 1953.
*Design and Analysis of Experiments*. Oliver and Boyd. - Hinkelmann, K. and Kempthorne, O. 1994.
*Design and Analysis of Experiments.*Vol. I. John Wiley. - Kempthorne, O. 1952.
*Design and Analysis of Experiments*. John Wiley. - Nigam, A.K. and Gupta, V.K. 1979.
*Handbook on Analysis of Agricultural Experiments*. IASRI. - Pearce, S.C. 1983.
*The Agricultural Field Experiment: A Statistical Examination of Theory and Practice*. John Wiley. - Raghavarao, D. 1971.
*Constructions and Combinatorial Problems in Design of Experiments*. John Wiley. - Searle, S.R. 1996.
*Linear Models*. Academic Press. - www.iasri.res.in/design
*Design Resources Server*.