Swyam Prabha - Analysis of Variance and Design of Experiments

Shalabh
shalab@iitk.ac.in
shalabh1@yahoo.com
Department of Mathematics & Statistics
Indian Institute of Technology Kanpur, Kanpur - 208016 (India)

HOME PAGE

Analysis of Variance and Design of Experiments

Swayam Prabha Course

The forty hours course is for the students in Bachelor's and Master's programmes and covers the topics of statistical design of experiments and related concepts on the Analysis of Variance.

Topics covered: Likelihood ratio test for general linear hypothesis; Test of hypothesis for one and more than one linear parametric functions; Likelihood ratio test in in one way model; analysis of variance in one way model; multiple comparison tests; Analysis of completely randomized, randomized block and Latin squares designs; missing plot techniques; General intrablock and interblock analysis of variance in Incomplete block designs; Balanced incomplete block design (BIBD); Intrablock analysis of variance in BIBD; Interblock analysis of variance in BIBD; Recovery of information in BIBD; 2ⁿ factorial experiments with total confounding, partial confounding.

Suggested books:

H. Scheffe: The Analysis of Variance, Wiley, 1961.

H. Toutenburg and Shalabh: Statistical Analysis of Designed Experiments, Springer 2009.

D. C. Montagomery: Design & Analysis of Experiments, 5th Edition, Wiley 2001.

D. D. Joshi: Linear Estimation and Design of Experiments, Wiley Eastern, 1987.

George Casella: Statistical Design, Springer, 2008.

Max D. Morris: Design of Experiments- An Introduction Based on Linear Models, CRC Press, 2011.

H. Sahai and M.I. Ageel: The Analysis of Variance-Fixed, Random and Mixed Models, Springer, 2001.

Aloke Dey: Incomplete Block Design, Hindustan Book Agency 2010.

Language of the course: English

Duration of the course: 40 Hours

Swayam Prabha DTH Channel 16 Youtube link: The telecasted lectures are available at YouTube (Click here).

Slides and Videos used in the lectures:

Video Lecture links	Lecture Slides download links	Brief Description	Lecture Title	Lecture No.
Click here Lecture 1	Click here Lecture 1	Results from Matrix Theory and Random Variables	Vectors and Matrices	1
Click here Lecture 2	Click here Lecture 2	Results from Matrix Theory and Random Variables	Random Vectors and Linear Estimation	2
Click here Lecture 3	Click here Lecture 3	General Linear Hypothesis and Analysis of Variance	Regression and Analysis of Variance Models	3
Click here Lecture 4	Click here Lecture 4	General Linear Hypothesis and Analysis of Variance	ANOVA models and Least Squares Estimation of Parameters	4
Click here Lecture 5	Click here Lecture 5	General Linear Hypothesis and Analysis of Variance	Least squares and Maximum Likelihood Estimation of Parameters	5
Click here Lecture 6	Click here Lecture 6	General Linear Hypothesis and Analysis of Variance	Test of Hypothesis for Equality of Parameters	6
Click here Lecture 7	Click here Lecture 7	Multiple comparison test	Test of Hypothesis for Linear Parametric Functions	7
Click here Lecture 8	Click here Lecture 8	Multiple comparison test and confidence intervals	Analysis of Variance in One Way Fixed Effect Model	8
Click here Lecture 9	Click here Lecture 9	One way analysis of variance	CCD and Multiple Comparison Tests	9
Click here Lecture 10	Click here Lecture 10	Two way analysis of variance	Multiple Comparison Tests	10
Click here Lecture 11	Click here Lecture 11	Two way analysis of variance with interaction	Multiple Comparison Tests Based on Confidence Intervals and Test of Hypothesis for Variance	11
Click here Lecture 12	Click here Lecture 12	Experimental Design Models	Basics for ANOVA in Experimental Design Models	12
Click here Lecture 13	Click here Lecture 13	Experimental Design Models	One-Way Classification in Experimental Design Models	13
Click here Lecture 14	Click here Lecture 14	Experimental Design Models	Two-way classification without interaction in Experimental Design Models	14
Click here Lecture 15	Click here Lecture 15	Experimental Design Models	Two-way classification with interaction in Experimental Design Models	15
Click here Lecture 16	Click here Lecture 16	Experimental Design Models	Tukey's Test for Non-additivity	16
Click here Lecture 17	Click here Lecture 17	Experimental Designs and Their Analysis	Basics of Design of Experiments	17
Click here Lecture 18	Click here Lecture 18	Experimental Designs and Their Analysis	Completely Randomized Design	18
Click here Lecture 19	Click here Lecture 19	Experimental Designs and Their Analysis	Randomized Block Design	19
Click here Lecture 20	Click here Lecture 20	Experimental Designs and Their Analysis	Basics in Latin Square Design	20
Click here Lecture 21	Click here Lecture 21	Experimental Designs and Their Analysis	Analysis in Latin Square Design and Missing Plot Technique	21
Click here Lecture 22	Click here Lecture 22	Incomplete Block Designs and Their Analysis	Basics of Incomplete Block Designs	22
Click here Lecture 23	Click here Lecture 23	Incomplete Block Designs and Their Analysis	Basics and Estimation of Parameters	23
Click here Lecture 24	Click here Lecture 24	Incomplete Block Designs and Their Analysis	Estimation of Parameters in IBD	24
Click here Lecture 25	Click here Lecture 25	Incomplete Block Designs and Their Analysis	Analysis of Variance in IBD	25
Click here Lecture 26	Click here Lecture 26	Incomplete Block Designs and Their Analysis	Properties of Treatment and Block Totals	26
Click here Lecture 27	Click here Lecture 27	Incomplete Block Designs and Their Analysis	More Properties of Treatment and Block Totals	27
Click here Lecture 28	Click here Lecture 28	Incomplete Block Designs and Their Analysis	Interblock Analysis of Variance	28
Click here Lecture 29	Click here Lecture 29	Incomplete Block Designs and Their Analysis	Recovery of Interblock Information in IBD	29
Click here Lecture 30	Click here Lecture 30	Balanced Incomplete Block Design	Basic Definitions in BIBD	30
Click here Lecture 31	Click here Lecture 31	Balanced Incomplete Block Design	Basic Definitions and Intrablock Analysis of Variance in BIBD	31
Click here Lecture 32	Click here Lecture 32	Balanced Incomplete Block Design	Intrablock Analysis of Variance and Other Tests in BIBD	32
Click here Lecture 33	Click here Lecture 33	Balanced Incomplete Block Design	Recovery of Interblock Information	33
Click here Lecture 34	Click here Lecture 34	2ⁿ Factorial Experiments	Terminologies and Notations	34
Click here Lecture 35	Click here Lecture 35	2ⁿ Factorial Experiments	ANOVA in 2² Factorial Experiment	35
Click here Lecture 36	Click here Lecture 36	2ⁿ Factorial Experiments	ANOVA in 2³ and 2ⁿ Factorial Experiment	36
Click here Lecture 37	Click here Lecture 37	2ⁿ Factorial Experiments	Understanding Confounding in 2² Factorial Experiment	37
Click here Lecture 38	Click here Lecture 38	Analysis with partial confounding	Definitions and Confounding Arrangement	38
Click here Lecture 39	Click here Lecture 39	Partial Confounding	Partial Confounding in 2²Factorial Experiment	39
Click here Lecture 40	Click here Lecture 40	Partial Confounding	Partial Confounding in 2² and 2³ Factorial Experiments	40