Analysis of Variance and Design of Experiment

Paper III : Analysis of Variance and Design of Experiment.

UNIT-I

Analysis of Variance. One way classification. Assumptions regarding model. Two way

classification with equal number of observations per cell. Duncan’s multiple comparison test.
Analysis of covariance.

UNIT-II

Principles of Design of experiments: Randomization, Replication and local control. Choice of
size and type of a plot using uniformity trials. CRD, Randomized block design. Concept and
definition of efficiency of design. Comparison of efficiency between CRD and RBD.

UNIT – III

Latin square Design, Lay-out, ANOVA table. Comparison of efficiencies between LSD and
RBD; LSD and CRD. Missing plot technique : estimation of missing plots by minimizing
error sum of squares in RBD and LSD with one or two missing observations.

UNIT-IV

Factorial Experiments : general description of factorial experiments; 22, 23 and 2n factorial
experiments arranged in RBD and LSD. Definition of main effects and interactions in 22 and
23 factorial experiments. Preparation of ANOVA by Yates procedure. Estimates and tests for
main and interaction effects (Analysis without confounding).