Osmania University-M.Sc. APPLIED STATISTICS- 2 -Paper IV: Design of Experiments

AS 204 U : Paper IV: Design of Experiments

UNIT – I

Analysis of co-variance: one–way and two–way classifications. Estimation of main effects, interactions and analysis of 2k factorial experiment in general with particular reference to k = 2,3 and 4 and 32 factorial experiments. Multiple comparisons, Fisher Least Significance Difference (L.S.D) test and Duncan’s Multiple range test (DMRT).

UNIT – II

Total and partial confounding in case of 23, 24 and 32 factorial designs. Concept of Balanced partial confounding. Fractional replications of factorial designs – one-half replication of 23 & 24 design, one-quarter replication of 25 & 26 designs. Split – plot design.
UNIT – III

Balanced incomplete block design (BIBD) – parametric relations, intra-block analysis, recovery of inter-block information. Partially balanced incomplete block design with two associate classes PBIBD(2) – Parametric relations, intra block analysis. Simple lattice design and Youden-square design.
UNIT – IV

Concept of Response surface methodology (RSM), the method of steepest ascent. Response surface designs. Design for fitting first – order and second – order models. Variance of estimated response. Second order rotatable designs (SORD), Central composite designs(CCD): Role of CCD as an alternative to 3k design, Notatability of CCD.

Reference

1. Das, M.N. and Giri,N.: Design and Analysis of Experiments, Wiley Eastern.
2. Montogomery, D.C. : Design and Analysis of Experiments, John Wiley.
3. Draper and Smith : Applied Regression Analysis, John Wiley.
4. Parimal Mukhopadhyay : Applied Statistics, New Central Book Agency.

Additional Reference

1. Cochran and Cox : Experimental designs, John Wiley.
2. Kempthrone : Desing and Analysis of Experiments, John Wiley.
3. Kapoor and Gupta : Applied Statistics, Sultan Chand.
4. Alok Dey : Theory of Block Desings, Wiley Eastern.

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