STA222 DESIGN & ANALYSIS OF EXPERIMENTS - I

3 Hours/Week, 3 Credits

Theory: basic ideas of analysis of variance, one-way classification with equal and unequal observations per cell, two-way and three-way classifications with equal number of observations per cell, experimental error and interpretation of data, analysis of variance with fixed effect, random effect and mixed effect models, model adequacy checking. Multiple comparison: introduction, Tukey’s W-test, Newman-Keuls several range test, Duncan multiple range test, Dunnett’s test. Experimental designs: introduction, principles of experimental design, uniformity trial, choice of size and shape of plots and blocks, estimation and analysis of completely randomized design, randomized block design and Latin square design. Orthogonality of designs: analysis of replicated Latin square design, Graceo-Latin square design. Factorial experiment: introduction to factorial designs, factorial experiment for two and three levels up to n factors.