Planning, Construction, and Statistical Analysis of Comparative Experiments

1. Auflage 2004
ISBN: 978-0-471-21395-6
Verlag: Wiley

Buch, Englisch, 720 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 1235 g

A valuable guide to conducting experiments and analyzing data across a wide range of applications

Experimental design is an important component of the scientific method. This book provides guidance on planning efficient investigations. It compiles designs for a wide range of experimental situations not previously found in accessible form. Focusing on applications in the physical, engineering, biological, and social sciences, Planning, Construction, and Statistical Analysis of Comparative Experiments is a valuable guide to designing experiments and correctly analyzing and interpreting the results. The authors draw on their years of experience in the classroom and as statistical consultants to research programs on campus, in government, and in industry. The object is always to strike the right balance between mathematical necessities and practical constraints.

Serving both as a textbook for students of intermediate statistics and a hands-on reference for active researchers, the text includes:

- A wide range of applications, including agricultural sciences, animal and biomedical sciences, and industrial engineering studies
- General formulas for estimation and hypothesis testing, presented in a unified and simplified manner
- Guidelines for evaluating the power and efficiency of designs that are not perfectly balanced
- New developments in the design of fractional factorials with non-prime numbers of levels in mixed-level fractional factorials
- Detailed coverage on the construction of plans and the relationship among categories of designs
- Thorough coverage of balanced, lattice, cyclic, and alpha designs
- Strategies for sequences of fractional factorials
- Data sets and SAS code on a companion web site

An ideal handbook for the investigator planning a research program, the text comes complete with detailed plans of experiments and alternative approaches for added flexibility.

Autoren/Hrsg.

Giesbrecht, Francis G

Gumpertz, Marcia L

Fachgebiete

• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
• Technische Wissenschaften Bauingenieurwesen Mathematische Methoden, Computeranwendungen (Bauingenieurwesen)
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung

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 2n System.

Factorial Experiments, the 3n System.

Analysis of Experiments Without Designed Error Terms.

Confounding Effects with Blocks.

Fractional Factorial Experiments.

Response Surface Designs.

Plackett-Burmann Hadamard Plans.

The General Pn and Nonstandard Factorials.

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 the Department of Statistics at North Carolina State University in Raleigh, North Carolina. He earned his PhD in Statistics from the Iowa State University.

MARCIA L. GUMPERTZ, PhD, is a professor in the Department of Statistics at North Carolina State University where she also received her PhD in Statistics.