Design of Experiments for Agriculture and the Natural Sciences Second Edition

by Hoshmand; Reza

• ISBN13: 9781584885382
• ISBN10: 1584885386
• Edition: 2nd
• Format: Hardcover
• Copyright: 2006-03-23
• Publisher: Chapman & Hall/

Summary

Written to meet the needs of both students and applied researchers, Design of Experiments for Agriculture and the Natural Sciences, Second Edition serves as an introductory guide to experimental design and analysis. Like the popular original, this thorough text provides an understanding of the logical underpinnings of design and analysis by selecting and discussing only those carefully chosen designs that offer the greatest utility. However, it improves on the first edition by adhering to a step-by-step process that greatly improves accessibility and understanding. Real problems from different areas of agriculture and science are presented throughout to show how practical issues of design and analysis are best handled.Completely revised to greatly enhance readability, this new edition includes-q A new chapter on covariance analysis to help readers reduce errors, while enhancing their ability to examine covariances among selected variables.q Expanded material on multiple regression and variance analysis.q Additional examples, problems, and case studiesq A step-by-step Minitab® guide to help with data analysisIntended for those in the agriculture, environmental, and natural science fields as well as statisticians, this text requires no previous exposure to analysis of variance, although some familiarity with basic statistical fundamentals is assumed. In keeping with the book's practical orientation, numerous workable problems are presented throughout to reinforce the reader's ability to creatively apply the principles and concepts in any given situation.A solutions manual is available for qualified buyers

Table of Contents

The Nature of Agricultural Research	1	(13)
Fundamental Concepts	1	(5)
Research by Practitioners	6	(7)
Key Assumptions of Experimental Designs	13	(24)
Introduction	13	(1)
Assumptions of the Analysis of Variance (ANOVA) and Their Violations	14	(5)
Measures to Detect Failures of the Assumptions	19	(8)
Data Transformation	27	(10)
Designs for Reducing Error	37	(14)
Introduction	37	(3)
Increasing the Size of the Experiment	37	(2)
Refining the Experimental Conditions	39	(1)
Reducing Variability in the Experimental Material	40	(1)
Approaches to Eliminating Uncontrolled Variations	40	(2)
Error Elimination by Several Groupings of Units	42	(9)
Latin Square	42	(3)
Combined Latin Square	45	(2)
Greco-Latin Square	47	(4)
Single-Factor Experimental Designs	51	(68)
Introduction	51	(1)
Complete Block Designs	51	(32)
Completely Randomized Design (CRD)	51	(13)
Randomized Complete Block (RCB) Design	64	(9)
Latin Square Designs	73	(10)
Incomplete Block Designs	83	(36)
Balanced Lattice Designs	85	(9)
Partially Balanced Lattice Designs	94	(25)
Two-Factor Experimental Designs	119	(40)
Factorial Experiments	119	(5)
Main Effects and Interactions in a Two-Factor Experiment	124	(4)
Interpretation of Interactions	128	(1)
Factorials in Complete Block Designs	129	(6)
Split-Plot or Nested Designs	135	(9)
Strip-Plot Design	144	(15)
Three (or More)-Factor Experimental Designs	159	(46)
Introduction	159	(2)
Split-Split-Plot Design	161	(11)
Strip-Split-Plot Design	172	(13)
Factorial Experiments in Fractional Replication	185	(20)
Aliases and Defining Contrasts	186	(19)
Treatment Means Comparisons	205	(34)
Introduction	205	(1)
Comparisons of Paired Means	206	(16)
Least Significant Difference Test	206	(12)
Duncan's Multiple-Range Test (DMRT)	218	(4)
Comparisons of Grouped Means	222	(17)
Orthogonal Class Comparisons	223	(6)
Trend Comparisons	229	(10)
Sample Designs Over Time	239	(26)
Terminology and Concepts	239	(2)
Representing Time Spans	240	(1)
Analysis of Experiments over Years	241	(8)
Analysis of Experiments over Seasons	249	(16)
Regression and Correlation Analysis	265	(52)
Bivariate Relationships	265	(1)
Regression Analysis	266	(12)
Correlational Analysis	278	(9)
Curvilinear Regression Analysis	287	(12)
Multiple Regression and Correlation	299	(18)
Covariance Analysis	317	(34)
Introduction	317	(4)
Covariance Analysis Procedures	321	(19)
Completely Randomized Design (CRD)	321	(5)
Randomized Complete Block (RCB) Design	326	(5)
Split-Plot Design	331	(9)
Estimating Missing Data	340	(11)
Appendix A Chi-Square Distribution	351	(2)
Appendix B The Arc SineTransformation	353	(4)
Appendix C Selected Latin Squares	357	(4)
Appendix D Random Digits	361	(2)
Appendix E Points for the Distribution of F	363	(8)
Appendix F Basic Plans for Balanced and Partially Balanced Lattice Designs	371	(12)
Appendix G Fractional Factorial Design Plans	383	(24)
Appendix H Significant Studentized Ranges for 5% and 1% Level New Multiple Range Test	407	(4)
Appendix I Student t Distribution	411	(2)
Appendix J Coefficients and the Sum of Squares of Sets of Orthogonal Polynomials When There Are Equal Interval Treatments	413	(2)
Appendix K Minitab	415	(12)
Index	427