Handbook Of Statistics For Teaching And Research In Plant And Crop Science - Usha Rani Palaniswamy - Hardcover - english - 9781560222927

Author : Usha Rani Palaniswamy, Kodiveri Muniyappa Palaniswamy Binding : Hardcover BISAC Subject : MATHEMATICS / Probability & Statistics / General, SCIENCE / Study & Teaching Dewey : 519.5/02/458 Language : English LCCN : 2004026105 Library Subject : Botany, Crop science, Handbooks, manuals, etc, Research, Statistical methods Pages : xxiv, 624 p. : Table of Contents Foreword xiii C. Ramasamy Preface xv Acknowledgments xix Introduction xxi PART I: STATISTICAL METHODS Chapter 1. Tables, Graphs, and Diagrams 3 (30) Tables 3 (1) Graphs and Diagrams 3 (25) Exercises 28 (5) Chapter 2. Review of Basic Mathematical Concepts Fundamental to Statistics 33 (8) Variables 33 (1) Summations 34 (1) Logarithms 34 (2) Squares and Square Roots 36 (1) Quantities 37 (1) Permutation and Combinations 38 (2) Exercises 40 (1) Chapter 3. Nature of Statistical Data 41 (2) Raw Data 41 (1) Classification of Data 41 (1) Exercises 42 (1) Chapter 4. Measures of Central Tendency 43 (30) Mean 43 (13) Median 56 (2) Mode 58 (10) Exercises 68 (5) Chapter 5. Measures of Dispersion 73 (26) Variables 73 (1) Most Common Measures of Dispersion 74 (20) Exercises 94 (5) Chapter 6. Normal Distribution 99 (20) Properties of Normal Distribution 100 (5) Properties of Standard Normal Distribution 105 (5) Probability Integral 110 (4) Practical Application Examples 114 (1) Exercises 114 (5) Chapter 7. Probability 119 (6) Experiments 119 (2) Basic Concepts of Probability 121 (3) Exercises 124 (1) Chapter 8. Set Theory 125 (6) Sample Spaces 125 (1) Venn Diagrams 126 (2) Expected Value 128 (1) Exercises 129 (2) Chapter 9. Special Techniques in Descriptive Statistics 131 (22) Frequency Distribution 131 (5) Discrete Variables 136 (11) Exercises 147 (6) Chapter 10. Population, Sample, and Statistical Inference 153 (16) Population 153 (1) Sample 154 (1) Parameters and Statistics 154 (3) Sample Size and Sampling Distribution of Mean and Variance 157 (2) Some Points 159 (3) Standard Error 162 (5) Exercises 167 (2) Chapter 11. Hypothesis and Test of Significance 169 (38) Null Hypothesis 169 (2) Test of Hypothesis 171 (1) Level of Significance 172 (2) Interpolation 174 (1) Testing of a Population Mean 174 (20) Significance of Asterisks 194 (9) Exercises 203 (4) Chapter 12. Correlation 207 (26) Methods of Studying Correlation 208 (14) Coefficient of Determination 222 (2) Assumptions in Correlation Analysis 224 (1) Rank Correlation 225 (3) Exercises 228 (5) Chapter 13. Regression 233 (32) Function Concept and Regression 233 (1) Straight Line Equation 234 (6) Definition of Error in Regression Estimates 240 (4) Prediction and Measurement of Error in Prediction 244 (15) Exercises 259 (6) Chapter 14. Chi Square Test of Significance 265 (40) Definition 266 (2) Correction for Continuity 268 (1) Test of Goodness of Fit 269 (3) Poisson Distribution 272 (5) Procedure for Fitting Normal Distribution 277 (7) Test of Independence (or Testing for Association) 284 (5) Pearson's Coefficient of Contingency 289 (2) Heterogeneity Chi-Square Analysis 291 (5) Exercises 296 (9) PART II: EXPERIMENTAL DESIGN Chapter 15. Experimental Design 305 (24) Experimental Design 306 (1) Experimental Unit 306 (1) Accuracy 307 (1) Precision 307 (1) Bias 308 (1) Study of Variability Among Plots 308 (2) Treatment 310 (1) Experimental Error 311 (9) Exercises 320 (9) Chapter 16. Analysis of Variance 329 (8) Fundamental Concepts 329 (2) Computation of Variance 331 (1) Find the F Ratio Value 332 (1) Degrees of Freedom 332 (1) F Distribution 333 (1) Summary of the ANOVA Technique 334 (1) Exercises 335 (2) Chapter 17. Principles of Experimental Design 337 (10) Replication 337 (2) Randomization 339 (1) Local Control 340 (2) Analysis of Data 342 (3) Exercises 345 (2) Chapter 18. Completely Randomized Design 347 (28) Description of the Design 347 (7) F Ratio and Its Significance 354 (1) Using the F Table 354 (1) Assumptions 355 (1) Least Significant Difference 356 (3) Computation Procedure for Completely Randomized Design 359 (8) Exercises 367 (8) Chapter 19. Randomized Complete Block Design 375 (24) Two-Way Classification 375 (1) The Specifics of Randomized Complete Block Design 376 (8) Linear Model for Randomized Complete Block Design 384 (1) Missing Values 385 (3) Modifications in the Analysis 388 (5) Exercises 393 (6) Chapter 20. Group Comparisons 399 (8) Comparison 399 (1) Orthogonal and Nonorthogonal Contrasts 400 (1) Partitioning of Treatment Sum of Squares 400 (3) Second Set of Orthogonal Comparisons 403 (1) Practical Utility of Contrasts 404 (1) Exercises 405 (2) Chapter 21. Multiple Comparison Procedures 407 (18) Least Significant Difference Test 407 (4) Duncan's New Multiple Range Test 411 (2) Dunnett's Test 413 (1) Tukey's w – Procedure Test 414 (2) Newman-Keuhls Test or Student-Newman-Keuhls Test 416 (3) Scheffe's or S Test 419 (2) Exercises 421 (4) Chapter 22. Latin Square Design 425 (22) Linear Model 430 (4) Advantages and Disadvantages of Latin Square Design 434 (3) Latin Square and Trend Analysis 437 (7) Exercises 444 (3) Chapter 23. Factorial Experiments 447 (22) Levels 447 (4) Single-Factor Experiment versus Factorial Experiment 451 (1) Two-Factor Experiments 452 (4) Meaning of Significant Interaction 456 (5) Three-Factor Experiments 461 (3) Exercises 464 (5) Chapter 24. Split Plot Design 469 (26) Reasons for Adopting Split Plot Design 469 (3) Procedure for Layout of Split Plot Design 472 (1) Comparison of Split Plot Design with RCBD 473 (1) Standard Errors in Split Plot Design 474 (18) Exercises 492 (3) Chapter 25. Split Block (Strip Plot) 495 (10) Layout 495 (6) Combined Analysis in Strip Plot Design 501 (3) Exercises 504 (1) Chapter 26. Completely Confounded Design 505 (14) Layout of the Experiment 506 (5) Choice of Confounding Interactions 511 (1) Statistical Analysis 512 (1) Identification of Confounded Interaction 512 (2) Conclusion 514 (2) Exercises 516 (3) Chapter 27. Analysis of Covariance 519 (16) Reasons for Covariance Analysis 520 (1) Uses of Covariance Analysis 520 (1) Principles in ANOCOVA with Reference to Two Treatments 521 (6) Comparisons Involving Adjusted Means 527 (2) Testing Homogeneity of Regression 529 (2) Assumptions in Covariance Analysis 531 (1) Exercises 532 (3) Chapter 28. Transformation of Experimental Data 535 (16) Transformation 536 (11) Exercises 547 (4) Chapter 29. Quality Control 551 (20) Quality Control and Statistical Quality Control 552 (1) Causes of Variation 552 (1) Stable and Unstable Conditions 553 (2) Mean Chart 555 (5) Quality Control Chart for Range (R chart) 560 (1) P Chart 561 (3) C Chart 564 (2) Exercises 566 (5) Appendix: Statistical Tables 571 (34) Index 605