Design of experiments for agriculture and the natural sciences / 2nd ed.

Chapter 1 The Nature of Agricultural Research ............................. 1
1.1 Fundamental Concepts .......... ...... ............ ..........
12 Research by Practitioners ......................... . 6
Chapter 2 Key Assumptions of Experimental Designs ................. 13
21 Introduction ..... ................. 13
2,2 Assumptions of the Analysis of Variance (ANOVA) and
Their Violations ...... . .. ............ ................................. ...................... 14
2.3 Measures to Detect Failures of the Assumptions ... ....... ..... 19
2.4 Data Transformation . .. . . .. . .................................................. 27
Chapter 3 Designs for Reducing Error.................... ................... 37
3.1 Introduction................ . ...................................................................... 37
3.1.1 Increasing the Size of the Experiment........................ 37
3.1.2 Refining the Experimental Conditions............. ... 39
3.1 3 Reducing Variability in the Experimental Material..... 40
3.2 Approaches to Eliminating Uncontrolled Variations ....4......... 40
3.3 Error Elimination by Several Groupings of Units...... ....... 42
3.3.1 Latin Square .......... ................... ............... 42
3.2 Combined Latin Square................... .... .................... ...... 45
3.3.3 Greco-Latin Square ............................. ....... ............. 47
Chapter 4 Single-Factor Experimental Designs................... ........ 51
4.1 Introduction ... ......... ... ....... ......... .......... .. 51
4.2 Complete Block Designs ... .. ...... .................................................. ...... 51
4,21 Completely Randomized Design (CRD) .................... 51
42.2 Randomized Complete Block (RCB) Design....... . 64
4.23 Latin Square Designs........ ..... ...... .. ... .......... 73
4.3 Incomplete Block Designs ......... . .............. ... 83
4,3.1 Balanced Lattice Designs.............. .......... . .... 85
4.32 Partially Balanced Lattice Designs............................ . 94
Chapter 5 Two-Factor Experimental Designs ............... ............ 119
5.1 Factorial Experiments ... .. ........... ........._..... .... 119
5.2 Main Effects and Interactions in a Two-Factor Experiment........ 124
5.3 Interpretation of Interactions ... ....... .......... ...... ... 128
5,4 Factorials in Complete Block Designs .......................... 129
5,5 Split-Plot or Nested Designs ..................... .... 35
5.6 Strip-Plot Design . ............... ............ 144
Chapter 6 Three (or More)-Factor Experimental Designs .............159
6.1 Introduction ... . ....... . .... ..... ........... ... 159
6.2 Split-Split-Plot Design ........... ...... .............................................. .. 161
6.3 Strip-Split-Plot Design ................. ...... .......................................... 172
6.4 Factorial Experiments in Fractional Replication ....._............. 85
6.4.1 Aliases and Defining Contrasts .............. ....... 186
Chapter 7 Treatment Means Comparisons ....... ....................... 205
7.1 Introduction ......... .......................... .. ................... ........... .............. 205
7.2 Comparisons of Paired Means ....... ............................. ..... 206
7.21 Least Significant Difference Test................ . ................. 206
7.2.2 Duncan's Multiple-Range Test (DMRT) ................. 218
"7.3 Comparisons of Grouped Means ....... ............ 222
7.3.1 Orthogonal Class Comparisons ......... ........... 223
7.3.2 Trend Comparisons ............ .. ...... .......... . ....... 229
Chapter 8 Sample Designs Over Time ................................ ... 239
81 Terminology and Concepts............. .. ...................... 239
8.1.1 Representing Time Spans .................. ... ..... .... 240
8.2 Analysis of Experiments over Years..................... ......... 241
8.3 Analysis of Experiments over Seasons.............. .............. 249
Chapter 9 Regression and Correlation Analysis............................ 265
9.1 Biariate Relationships . .. ...... ............ ...... .. ....... 265
092 Regression Analysis. . . ...... .. . ..... ... ....... ..................... ..2.. 266
"9.3 Correlational Analysis ...... ...... ..... ........................ 278
9.4 Curvilinear Regression Analysis......... .... .... ........ 287
9.5 Multiple Regression and Correlation............ . .................... 299
Chapter 10 Covariance Analysis........... ........ ..... ................ 317
10.1 Introduction ...... ..... ....... .................... ..... .. 317
10.2 Covariance Analysis Procedures ............... ........ ..................... 321
10.2.1 Completely Randomized Design (CRD).................... 321
10.2.2 Randomized Complete Block (RCB) Design............ 326
10.2.3 Split-Plot Design .......... ........... ... ............................... .. 31
10.3 Estimating Missing Data .............. .......................... .... 340