eldo_user

Chapter 12
Statistical Experimental Design and
Analysis
Statistical Experimental Design and Analysis focuses on the standard techniques of factor
screening, location and dispersion analysis, and response surface methodologies in circuit
design. An observable output (extracted measure in Eldo) depends on a set of parameters and
you can then explore the effects (main effects and interactions) of parameters (factors) on the
output using the design of experiment techniques.
Introduction to Statistical Experimental Design and Analysis . . . . . . . . . . . . . . . . . . . . 555
Factor Screening Experiments in Eldo . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 557
DEX Example Files . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 558
Factorial Design Comparison with Worse Case Analysis . . . . . . . . . . . . . . . . . . . . . . . . . 559
Statistical Modeling for Discrete Circuits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 560
Designing a Screening Experiment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 562
Reference Factors for the DEX Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 562
Defining the Levels of Factors for the DEX Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . 565
Determining the List of Noise Parameters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 570
Conducting a Screening Experiment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 573
Choosing the Type of Experiment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 573
Selecting the Number of Factors and the Design Matrix . . . . . . . . . . . . . . . . . . . . . . . . . . 574
Viewing the Experiment Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 576
Examples of Factor Screening Experiments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 577
Example of Experiment Design . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 577
Example of Conducting an Experiment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 579
Example of Analysis Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 581
References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 586
Introduction to Statistical Experimental Design
and Analysis
The primary purpose of a factor screening experiment is to select or screen out the few
important main effects from the many less important ones. By reducing the large number of
circuit parameters involved, subsequent statistical design problems can be solved more
efficiently and will require fewer runs. A screening experiment is often referred to as phase zero
of a response surface study.
Eldo® User's Manual, 15.3 555