Giesbrecht / Gumpertz Planning, Construction, and Statistical Analysis of Comparative Experiments

1. Auflage 2011
ISBN: 978-0-471-47648-1
Verlag: John Wiley & Sons
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 694 Seiten, E-Book

Reihe: Wiley Series in Probability and Statistics

A valuable guide to conducting experiments and analyzing dataacross a wide range of applications
Experimental design is an important component of the scientificmethod. This book provides guidance on planning efficientinvestigations. It compiles designs for a wide range ofexperimental situations not previously found in accessible form.Focusing on applications in the physical, engineering, biological,and social sciences, Planning, Construction, and StatisticalAnalysis of Comparative Experiments is a valuable guide todesigning experiments and correctly analyzing and interpreting theresults. The authors draw on their years of experience in theclassroom and as statistical consultants to research programs oncampus, in government, and in industry. The object is always tostrike the right balance between mathematical necessities andpractical constraints.
Serving both as a textbook for students of intermediatestatistics and a hands-on reference for active researchers, thetext includes:
* A wide range of applications, including agricultural sciences,animal and biomedical sciences, and industrial engineeringstudies
* General formulas for estimation and hypothesis testing,presented in a unified and simplified manner
* Guidelines for evaluating the power and efficiency of designsthat are not perfectly balanced
* New developments in the design of fractional factorials withnon-prime numbers of levels in mixed-level fractionalfactorials
* Detailed coverage on the construction of plans and therelationship among categories of designs
* Thorough coverage of balanced, lattice, cyclic, and alphadesigns
* Strategies for sequences of fractional factorials
* Data sets and SAS® code on a companion web site
An ideal handbook for the investigator planning a researchprogram, the text comes complete with detailed plans of experimentsand alternative approaches for added flexibility.

Autoren/Hrsg.

Giesbrecht, Francis

Giesbrecht, Francis G.

Gumpertz, F. Marcia L.

Gumpertz, Marcia L.

Inhaltsverzeichnis

Preface.
Introduction.
The Completely Randomized Design.
Linear Models for Designed Experiments.
Testing Hypotheses and Determining Sample Size.
Methods of Reducing Unexplained Variation.
Latin Squares.
Split-Plot and Related Designs.
Incomplete Block Designs.
Repeated Teatments Designs.
Factorial Experiments, the 2¯n System.
Factorial Experiments, the 3¯n System.
Analysis of Experiments Without Designed Error Terms.
Confounding Effects with Blocks.
Fractional Factorial Experiments.
Response Surface Designs.
Plackett-Burmann Hadamard Plans.
The General P¯n and NonstandardFactorials.
Factorial Experiments with Quantitative Factors.
Plans for Which Run Order is Important.
Supersaturated Plans.
Sequences of Fractions of Factorials.
Multi-Stage xperiments.
Orthogonal Arrays and Related Structures.
Factorial Plans Derived via Orthogonal Arrays.
Experiments on the Computer.

Über Autor(innen)

FRANCIS G. GIESBRECHT, PhD, is Professor Emeritus in theDepartment of Statistics at North Carolina State University inRaleigh, North Carolina. He earned his PhD in Statistics from theIowa State University.
MARCIA L. GUMPERTZ, PhD, is a professor in the Departmentof Statistics at North Carolina State University where she alsoreceived her PhD in Statistics.