Design of Experiments

{0365.2426.01}

---------------------------------------------------------------------------------------------------------------------------

 

Lecturer	Prof. Camil Fuchs (fuchs@math.tau.ac.il)
Teaching Assistant	Inna Zaslavsky
Lecture Hours	Monday 11-14, Schreiber 7; Wednesday 08-10, Schreiber 7

Prerequisites:	Introduction to Statistics
Course Requirements:	each student has to submit at least 2/3 of homework exercises.

Topics:

1. Introduction-Overview
• 2^k Factorial Designs
• Computation of main effects and interactions
• Variance estimation
• from factors
• from y's (pure error)
• Exercise 1
• Exercise 1a
• tests of hypotheses, confidence intervals
• transformations
• blocked experiments - confounding
• Yates' algorithm
• graphical representation of residuals
• Exercise 2
• partial factorial experiments
• resolution
• confounding
• complementary fractions
• Exercise 3
• experiments of resolution III, IV, V
• blocking in partial factorial experiments
• Exercise 4 </A
• Exercise 5
• Exercise New
• sqared table experiments
• latin squares
• graeco-latin squares
• hyper-graeco-latin squares
• Exercise 6 Exercise 6a
• least squares modeling
• Exercise 7 Exercise 7a
• Exercise 8 Exercise 8a
• response surfaces
• Exercise 9 Exercise 9a

Literature

• Box, G.E.P., Hunter, W.G., Hunter, J.S., Statistics for Experimenters