Statistical Methods in Agriculture and Experimental Biology

Offers coverage of the statistical ideas and methods useful to the advancement of students in agriculture or experimental biology. Covering fundamental methodology, this book also includes advanced topics that help develop an appreciation of the breadth of statistical methodology now available.

Informationen zum Autor Roger Mead Klappentext The third edition of this popular introductory text maintains the character that won worldwide respect for its predecessors but features a number of enhancements that broaden its scope, increase its utility, and bring the treatment thoroughly up to date. It provides complete coverage of the statistical ideas and methods essential to students in agriculture or experimental biology. In addition to covering fundamental methodology, this treatment also includes more advanced topics that the authors believe help develop an appreciation of the breadth of statistical methodology now available. The emphasis is not on mathematical detail, but on ensuring students understand why and when various methods should be used.New in the Third Edition:A chapter on the two simplest yet most important methods of multivariate analysisIncreased emphasis on modern computer applications Discussions on a wider range of data types and the graphical display of dataAnalysis of mixed cropping experiments and on-farm experiments Zusammenfassung Offers coverage of the statistical ideas and methods useful to the advancement of students in agriculture or experimental biology. Covering fundamental methodology, this book also includes advanced topics that help develop an appreciation of the breadth of statistical methodology now available. Inhaltsverzeichnis INTRODUCTION The Need for Statistics Types of Data The Use of Computers in Statistics PROBABILITY AND DISTRIBUTIONS Probability Populations and Samples Means and Variances The Normal Distribution Sampling Distributions ESTIMATION AND HYPOTHESIS TESTING Estimation of the Population Mean Testing Hypotheses about the Population Mean Population Variance Unknown Comparison of Samples A Pooled Estimate of Variance A SIMPLE EXPERIMENT Randomization and Replication Analysis of a Completely Randomized Design with Two Treatments A Completely Randomized Design with Several Treatments Testing Overall Variation Between the Treatments CONTROL OF RANDOM VARIATION BY BLOCKING Local Control of Variation Analysis of a Randomized Block Design Meaning of the Error Mean Square Latin Square Designs Multiple Latin Squares Design The Benefit of Blocking and the Use of Natural Blocks PARTICULAR QUESTIONS ABOUT TREATMENTS Treatment Structure Treatment Contrasts Factorial Treatment Structure Main Effects and Interactions Analysis of Variance for a Two-Factor Experiment Partial Factorial Structure Comparing Treatment Means - Are Multiple Comparison Methods Helpful? MORE ON FACTORIAL TREATMENT STRUCTURE More than Two Factors Factors with Two Levels The Double Benefit of Factorial Structure Many Factors and Small Blocks The Analysis of Confounded Experiments Split Plot Experiments Analysis of a Split Plot Experiment Experiments Repeated at Different Sites THE ASSUMPTIONS BEHIND THE ANALYSIS Our Assumptions Normality Variance Homogeneity Additivity Transformations of Data for Theoretical Reasons A More General Form of Analysis Empirical Detection of the Failure of Assumptions and Selection of Appropriate Transformations Practice and Presentation STUDYING LINEAR RELATIONSHIPS Linear Regression Assessing the Regression Line Inferences about the Slope of a Line Prediction Using a Regression Line Correlation Testing Whether the Regression is Linear Regression Analysis Using Computer Packages MORE COMPLEX RELATIONSHIPS Making the Crooked Straight Two Independent Variables Testing the Components of a Multiple Relationship Multiple Regression Possible Problems in Computer Multiple Regression LINEAR MODELS The Use of Models Models for Factors and Variables Comparison of Regressions Fitting Parallel Lines<b...

Autorentext

Roger Mead

Klappentext

The third edition of this popular introductory text maintains the character that won worldwide respect for its predecessors but features a number of enhancements that broaden its scope, increase its utility, and bring the treatment thoroughly up to date. It provides complete coverage of the statistical ideas and methods essential to students in agriculture or experimental biology. In addition to covering fundamental methodology, this treatment also includes more advanced topics that the authors believe help develop an appreciation of the breadth of statistical methodology now available. The emphasis is not on mathematical detail, but on ensuring students understand why and when various methods should be used. New in the Third Edition: A chapter on the two simplest yet most important methods of multivariate analysis Increased emphasis on modern computer applications Discussions on a wider range of data types and the graphical display of data Analysis of mixed cropping experiments and on-farm experiments

Inhalt

INTRODUCTION
The Need for Statistics
Types of Data
The Use of Computers in Statistics

PROBABILITY AND DISTRIBUTIONS
Probability
Populations and Samples
Means and Variances
The Normal Distribution
Sampling Distributions

ESTIMATION AND HYPOTHESIS TESTING
Estimation of the Population Mean
Testing Hypotheses about the Population Mean
Population Variance Unknown
Comparison of Samples
A Pooled Estimate of Variance

A SIMPLE EXPERIMENT
Randomization and Replication
Analysis of a Completely Randomized Design with Two Treatments
A Completely Randomized Design with Several Treatments
Testing Overall Variation Between the Treatments

CONTROL OF RANDOM VARIATION BY BLOCKING
Local Control of Variation
Analysis of a Randomized Block Design
Meaning of the Error Mean Square
Latin Square Designs
Multiple Latin Squares Design
The Benefit of Blocking and the Use of Natural Blocks

PARTICULAR QUESTIONS ABOUT TREATMENTS
Treatment Structure
Treatment Contrasts
Factorial Treatment Structure
Main Effects and Interactions
Analysis of Variance for a Two-Factor Experiment
Partial Factorial Structure
Comparing Treatment Means - Are Multiple Comparison Methods Helpful?

MORE ON FACTORIAL TREATMENT STRUCTURE
More than Two Factors
Factors with Two Levels
The Double Benefit of Factorial Structure
Many Factors and Small Blocks
The Analysis of Confounded Experiments
Split Plot Experiments
Analysis of a Split Plot Experiment
Experiments Repeated at Different Sites

THE ASSUMPTIONS BEHIND THE ANALYSIS
Our Assumptions
Normality
Variance Homogeneity
Additivity
Transformations of Data for Theoretical Reasons
A More General Form of Analysis
Empirical Detection of the Failure of Assumptions and Selection of Appropriate Transformations
Practice and Presentation

STUDYING LINEAR RELATIONSHIPS
Linear Regression
Assessing the Regression Line
Inferences about the Slope of a Line
Prediction Using a Regression Line
Correlation
Testing Whether the Regression is Linear
Regression Analysis Using Computer Packages

MORE COMPLEX RELATIONSHIPS
Making the Crooked Straight
Two Independent Variables
Testing the Components of a Multiple Relationship
Multiple Regression
Possible Problems in Computer Multiple Regression

LINEAR MODELS
The Use of Models
Models for Factors and Variables
Comparison of Regressions
Fitting Parallel Lines
Covariance Analysis
Regression in the Analysis of Treatment Variation

NONLINEAR MODELS
Advantages of Linear and Nonlinear Models
Fitting Nonlinear Models to Data
Inferences about Nonlinear Parameters
Exponential Models
Inverse Polynomial Models
Logistic Models for Growth Curves

THE ANALYSIS OF PROPORTIONS
Data in the Form of Frequencies
The 2 ´ 2 Contingency Table
More than Two Situations or More than Two Outcomes
General Co…