DESCRIPTION OF COURSES

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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