Planning, Construction, and Statistical Analysis of Comparative Experiments (Wiley Series in Probability and Statistics)

At once a comprehensive handbook for the active researcher and a thorough introduction for the advanced student, this reference provides: * Coverage of wide range of applications, including agricultural sciences, animal and biomedi-cal sciences, and industrial and engineering studies * Information on new developments in the design of fractional factorials with non-prime numbers of levels in mixed-level fractional factorials * Detailed information on the construction of plans and the relationships among categories of designs * Thorough discussion of balanced, partially balanced, lattice, cyclic and alpha-designs * Accommodations for how to evaluate the power and efficiency of designs that are not perfectly balanced * Unified and simplified presentation of general forms for estimation and hypothesis testing 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. 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 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.