UNIVERSITY OF MADRAS
B.Sc. DEGREE COURSE IN STATISTICS
SEMESTER SYSTEM WITH CREDITS
(Effective from the Academic Year 2003-2004)

SYLLABUS

Semester V - Major VI - Design of Experiments

UNIT - 1:

Fundamental Principles of Experiments - Replication, Randomization and Local Control Techniques - Size of experimental unit-Methods of determination of experimental units - (Maximum curvature method-Fairfield Smith's variance law).

UNIT - 2:

Analysis of Variance - one-way, two-way classification (without interaction) Multiple range tests: n Newman Keul's test- Duncan's multiple range test. Tukey's test-TransformationsSqurare root, angular and log transformations.

UNIT - 3:

Linear Model and its classifications. Completely Randomized Design (CRD) and its analysis-Randomized Block Design (RBD) and its analysis-RED-More than one but equal number of observations per cell-Latin Square Design(LSD) and its analysis.

UNIT - 4:

Missing plot technique-Meaning-Least square method of estimating missing Observations- and two observations missing in RBD and LSD - Analysis of covariance technique in CRD and RBD(without derivation)

UNIT - 5:

Factorial experiments - Definition 2², 2³ and 3² factorial experiments and their analysis - Principles of confounding-Partial and Complete confounding in 2³ - Split plot design and its analysis, BlBD concept and parametric Relations.

Books for Study:

BOOKS FOR REFERENCE

Montgomery, D (1972) Design of Experiments, John Wiley and Sons