Syllabus

Course Code: ST-402    Course Name: Linear Estimation and Design of Experiments

MODULE NO / UNIT COURSE SYLLABUS CONTENTS OF MODULE NOTES
1 Linear estimation : Least Square estimates of regression coefficients, Standard Gauss- Markov models, estimability of parameters, best linear unbiased estimators (BLUE), Method of least squares and Gauss Markov theorem; Variance-Covariance matrix of BLUES, Distributional Properties. Tests of General Linear hypothesis.
2 One-way and two way classifications: ANOVA for Fixed, random and mixed effects Models (One observation per cell). Terminology in experimental designs. Basic principles of design of experiments, General block design and its information matrix, balance and orthogonality, Layout and analysis of completely randomized, randomizedblocks and Latin-square designs.
3 Factorial experiments: 22-experiment, 23-experiment and 2n-experiment in 2k blocks per replicate. Confounding in Factorial Experiments: Complete confounding for 22-experiment and 23-experiment, Partial confounding for 22-experiment and 23-experiment., Advantages and Disadvantages of Confounding. Split-plot design.
4 Incomplete Block Design , Balanced incomplete block design, parameters relationship of Balanced incomplete block design, Symmetric Balanced incomplete block design, construction of Balanced incomplete block design by developing initial blocks, analysis of Balanced incomplete block design. Orthogonal Latin squares: construction of orthogonal Latin squares of order 4.
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