22: Full Factorial Designs

"Block what you can, randomize what you cannot." - Unknown. "Mathematicians do not study objects, but relations among objects." — Henri PoincaréLecture outline: how to conduct experiments in which multiple factors are changed simultaneously?

Preamble: interaction between factors

1. Two level factorial design without replications (2^k designs)

When to use two level designs?

2^2 design: model and example

Computation of effects: sign-table method

Allocation of variance

General 2^k factorial designs

Case study: 2^3 factorial design.

2. Two level factorial design with replications (2^k).r designs

Computation of effects

Estimation of experimental errors

Allocation of variation

Primary reference for this lecture:

“The Art of Computer Systems Performance Analysis: Techniques for Experimental Design, Measurement, Simulation, and Modeling” by Raj Jain; Selection sections from Chapters 21, 22, 23.