Mathematical Symbols and Notations General Mathematical Symbols PART I. DESCRIPTIVE STATISTICS IN ENVIRONMENTAL AND AGRICULTURE SCIENCES 1. The What and Why of Statistics for Environmental and Agricultural Sciences What Is Statistics? Why Study Statistics for Environmental and Agriculture Sciences 2. Descriptive Statistical Measures Frequency Distribution Measures of Central Tendency Measures of Variability PART II. INFERENTIAL STATISTICS IN ENVIRONMENTAL AND AGRICULTURE SCIENCES 3. Probability Theory Measurement of Probability Optional Topic: Principles of Counting Bayes'' Theorem Probability Distributions 4. An Introduction to Sampling Concepts Key Sampling Concepts Sampling Techniques in Environmental and Agriculture Sciences Sampling Distributions 5. Estimation of Parameters: Means and Percentages Point Estimation Interval Estimation Estimating Population Mean: s Known Estimating Population Mean: s Unknown Use of Student t Distribution Interval Estimation of the Population Percentage Determining Sample Size PART III.
int Estimation Interval Estimation Estimating Population Mean: s Known Estimating Population Mean: s Unknown Use of Student t Distribution Interval Estimation of the Population Percentage Determining Sample Size PART III. TESTS OF COMPARISON: PARAMETRIC METHODS 6. Hypothesis Testing: One-Sample Steps in Hypothesis Testing Test of a Mean : Large Sample Test of a Mean: Small Sample Test of a Proportion An Alternative Approach to Hypothesis Testing Relationship between a and b Risk 7. Hypothesis Testing: Two-Sample Introduction: Questions about Differences Two-Sample Test of Means: Large Sample Two-Sample Test of Means: Small Sample Two-Sample Test of Percentage: Large Sample 8. Analysis of Variance One-Factor Analysis of Variance Two-Factor Analysis of Variance Latin Square Design PART IV. NONPARAMETRIC METHODS 9. Chi-Square Analysis Test of Differences Among Proportions Chi-Square Test of Independence Test of Goodness-of-Fit Tests of Homogeneity 10. Additional Nonparametric Methods Sign Test Wilcoxon Signed-Rank Test Mann-Whitney U Test Spearman Rank Correlation Coefficient PART V.
TEST OF ASSOCIATION AND PREDICTION 11. Simple Linear Regression and Correlation Introduction: Bivariate Relationships Regression Analysis Standard Error of Estimate Correlation Analysis An Application Using Computer Packages Optional Topic: Curvilinear Regression Analysis 12. Multiple Regression Estimating Multiple Regression Equation: Least Squares Method Standard Error of Estimate Multiple Correlation Analysis Interference Concerning the Regression and Correlation Coefficients Assumptions and Problems in Multiple Linear Regression Optional Topic: Curvilinear Multiple Regression Analysis A Computer Application PART VI. ANALYSIS OF CHANGE OVER TIME 13. Time Series Analysis Secular Trend Analysis Seasonal Variation Identifying Cycles and Irregular Variation 14. Index Numbers Basic Construction Techniques Pitfalls and Some Considerations in Use of Index Numbers APPENDICES Binomial Distribution Areas Under the Standard Normal Probability Distribution Between the Mean and Successive Values of z Normal Deviates for Statistical Estimation and Hypothesis Testing Random Digits Critical Values of t F Distribution Chi-Square (c2) Distribution Wilcoxon T Values Critical Values of U in the Mann-Whitney Test Values of dL and dU for the Durbin Watson Test Index Chapters contain Introductions, Learning Objectives, Chapter Summaries, Case Studies, and Review Questions. Supplementary materials include a solution manual to all chapter problems, master transparencies for all figures and tables in the text, and powerpoint lecture outlines. Wilcoxon Signed-Rank Test Mann-Whitney U Test Spearman Rank Correlation Coefficient PART V.
TEST OF ASSOCIATION AND PREDICTION 11. Simple Linear Regression and Correlation Introduction: Bivariate Relationships Regression Analysis Standard Error of Estimate Correlation Analysis An Application Using Computer Packages Optional Topic: Curvilinear Regression Analysis 12. Multiple Regression Estimating Multiple Regression Equation: Least Squares Method Standard Error of Estimate Multiple Correlation Analysis Interference Concerning the Regression and Correlation Coefficients Assumptions and Problems in Multiple Linear Regression Optional Topic: Curvilinear Multiple Regression Analysis A Computer Application PART VI. ANALYSIS OF CHANGE OVER TIME 13. Time Series Analysis Secular Trend Analysis Seasonal Variation Identifying Cycles and Irregular Variation 14. Index Numbers Basic Construction Techniques Pitfalls and Some Considerations in Use of Index Numbers APPENDICES Binomial Distribution Areas Under the Standard Normal Probability Distribution Between the Mean and Successive Values of z Normal Deviates for Statistical Estimation and Hypothesis Testing Random Digits Critical Values of t F Distribution Chi-Square (c2) Distribution Wilcoxon T Values Critical Values of U in the Mann-Whitney Test Values of dL and dU for the Durbin Watson Test Index Chapters contain Introductions, Learning Objectives, Chapter Summaries, Case Studies, and Review Questions. Supplementary materials include a solution manual to all chapter problems, master transparencies for all figures and tables in the text, and powerpoint lecture outlines.;BR>Seasonal Variation Identifying Cycles and Irregular Variation 14.
Index Numbers Basic Construction Techniques Pitfalls and Some Considerations in Use of Index Numbers APPENDICES Binomial Distribution Areas Under the Standard Normal Probability Distribution Between the Mean and Successive Values of z Normal Deviates for Statistical Estimation and Hypothesis Testing Random Digits Critical Values of t F Distribution Chi-Square (c2) Distribution Wilcoxon T Values Critical Values of U in the Mann-Whitney Test Values of dL and dU for the Durbin Watson Test Index Chapters contain Introductions, Learning Objectives, Chapter Summaries, Case Studies, and Review Questions. Supplementary materials include a solution manual to all chapter problems, master transparencies for all figures and tables in the text, and powerpoint lecture outlines.