Handbook of Statistics for Teaching and Research in Plant and Crop Science

About this book

The Handbook of Statistics for Teaching and Research in Plant and Crop Science presents the fundamental concepts of important statistical methods and experimental designs to the students and researchers who need to apply them to their own specific problems. This comprehensive handbook takes what can be the difficult and confusing topics of statistics and experimental design and explains them in understandable and accessible terms. This title provides an essential reference guide for researchers and professionals on the latest techniques involved in the latest thinking on crop science.

Contents

Foreword (C. Ramasamy) Preface Acknowledgments Introduction PART I: STATISTICAL METHODS Chapter 1. Tables, Graphs, and Diagrams Tables Graphs and Diagrams Exercises Chapter 2. Review of Basic Mathematical Concepts Fundamental to Statistics Variables Summations Logarithms Squares and Square Roots Quantities Permutations and Combinations Exercises Chapter 3. Nature of Statistical Data Raw Data Classification of Data Exercises Chapter 4. Measures of Central Tendency Mean Median Mode Exercises Chapter 5. Measures of Dispersion Variables Most Common Measures of Dispersion Exercises Chapter 6. Normal Distribution Properties of Normal Distribution Properties of Standard Normal Distribution Probability Integral Practical Application Examples Exercises Chapter 7. Probability Experiments Basic Concepts of Probability Exercises Chapter 8. Set Theory Sample Spaces Venn Diagrams Expected Value Exercises Chapter 9. Special Techniques in Descriptive Statistics Frequency Distribution Discrete Variables Exercises Chapter 10. Population, Sample, and Statistical Inference Population Sample Parameters and Statistics Sample Size and Sampling Distribution of Mean and Variance Some Points Standard Error Exercises Chapter 11. Hypothesis and Test of Significance Null Hypothesis Test of Hypothesis Level of Significance Interpolation Testing of a Population Mean Significance of Asterisks Exercises Chapter 12. Correlation Methods of Studying Correlation Coefficient of Determination Assumptions in Correlation Analysis Rank Correlation Exercises Chapter 13. Regression Function Concept and Regression Straight Line Equation Definition of Error in Regression Estimates Prediction and Measurement of Error in Prediction Exercises Chapter 14. Chi Square Test of Significance Definition Corrections for Continuity Test of Goodness of Fit Poisson Distribution Procedure for Fitting Normal Distribution Test of Independence (or Testing for Association) Pearson's Coefficient of Contingency Heterogeneity Chi-Square Analysis Exercises PART II: EXPERIMENTAL DESIGN Chapter 15. Experimental Design Experimental Design Experimental Unit Accuracy Precision Bias Study of Variability Among Plots Treatment Experimental Error Exercises Chapter 16. Analysis of Variance Fundamental Concepts Computation of Variance Find the F Ratio Value Degrees of Freedom F Distribution Summary of the ANOVA Technique Exercises Chapter 17. Principles of Experimental Design Replication Randomization Local Control Analysis of Data Exercises Chapter 18. Completely Randomized Design Description of the Design F Ratio and Its Significance Using the F Table Assumptions Least Significant Difference Computation Procedure for Completely Randomized Design Exercises Chapter 19. Randomized Complete Block Design Two-Way Classification The Specifics of Randomized Complete Block Design Linear Model for Randomized Complete Block Design Missing Values Modifications in the Analysis Exercises Chapter 20. Group Comparisons Comparison Orthogonal and Nonorthogonal Contrasts Partitioning of Treatment Sum of Squares Second Set of Orthogonal Comparisons Practical Utility of Contrasts Exercises Chapter 21. Multiple Comparison Procedures Least Significant Difference Test Duncan's New Multiple Range Test Dunnett's Test Tukey's w - Procedure Test Newman-Keuhl's Test or Student-Newman-Keuhls Test Scheff's Test or S Test Exercises Chapter 22. Latin Square Design Linear Model Advantages and Disadvantages of Latin Square Design Latin Square and Trend Analysis Exercises Chapter 23. Factorial Experiments Levels Single-Factor Experiment versus Factorial Experiment Two-Factor Experiments Meaning of Significant Interaction Three-Factor Experiments Exercises Chapter 24. Split Plot Design Reasons for Adopting Split Plot Design Procedure for Layout of Split Plot Design Comparison of Split Plot Design with RCBD Standard Errors in Split Plot Design Exercises Chapter 25. Split Block (Strip Plot) Layout Combined Analysis in Strip Plot Design Exercises Chapter 26. Completely Confounded Design Layout of the Experiment Choice of Confounding Interactions Statistical Analysis Identification of Confounded Interaction Conclusion Exercises Chapter 27. Analysis of Covariance Reasons for Covariance Analysis Uses of Covariance Analysis Principles in ANOCOVA with Reference to Two Treatments Comparisons Involving Adjusted Means Testing Homogeneity of Regression Assumptions in Covariance Analysis Exercises Chapter 28. Transformation of Experimental Data Transformation Exercises Chapter 29. Quality Control Quality Control and Statistical Quality Control Causes of Variation Stable and Unstable Conditions Mean Chart Quality Control Chart for Range (R Chart) P Chart C Chart Exercises Appendix. Statistical Tables Index Reference Notes Included

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