Statistical methods: the geometric approach:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York, NY ; Berlin <<[u.a.]>>
Springer
1991
|
| Schriftenreihe: | Springer texts in statistics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 560 S. graph. Darst. |
| ISBN: | 3540975179 0387975179 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804140326325059584 |
|---|---|
| adam_text | Contents
Preface vii
I Basic Ideas 1
1 Introduction 3
1.1 Why Use Geometry? 3
1.2 A Simple Illustration 4
1.3 Tradition and Practice 7
1.4 How to Read This Book 8
Exercise 9
2 The Geometric Tool Kit 10
2.1 Introducing Vectors 11
2.2 Putting Vectors Together 15
2.3 Angles Between Vectors 20
2.4 Projections 26
2.5 Sums of Squares 30
Exercises 32
Solutions to the Reader Exercises 35
3 The Statistical Tool Kit 39
3.1 Basic Ideas 39
3.2 Combining Variables 45
3.3 Estimation 48
3.4 Reference Distributions 51
Solutions to the Reader Exercises 54
xii Contents
4 Tool Kits At Work 55
4.1 The Scientific Method 55
4.2 Statistical Analysis 58
Exercises 63
II Introduction to Analysis of Variance 65
5 Single Population Questions 67
5.1 An Illustrative Example 67
5.2 General Case 77
5.3 Virtues of Our Estimates 83
5.4 Summary 86
Class Exercise 87
Exercises 90
Solutions to the Reader Exercises 94
6 Questions About Two Populations 97
6.1 A Case Study 98
6.2 General Case 112
6.3 Computing 119
6.4 Summary 123
Class Exercise 124
Exercises 127
Solution to the Reader Exercise 131
7 Questions About Several Populations 133
7.1 A Simple Example 133
7.2 Types of Contrast 136
7.3 The Overview 144
7.4 Summary 148
Solutions to the Reader Exercises 150
III Orthogonal Contrasts 153
8 Class Comparisons 155
8.1 Analyzing Example A 155
8.2 General Case 169
8.3 Summary 175
Class Exercise 176
Exercises 179
Contents xiii
9 Factorial Contrasts 187
9.1 Introduction 187
9.2 Analyzing Example B 188
9.3 Analyzing Example C 203
9.4 Generating Factorial Contrasts 213
9.5 Summary 218
Exercises 218
10 Polynomial Contrasts 224
10.1 Analyzing Example D 224
10.2 Consolidating the Ideas 248
10.3 A Case Study 258
10.4 Summary 262
Exercises 263
Solutions to the Reader Exercises 267
11 Pairwise Comparisons 271
11.1 Analyzing Example E 271
11.2 Least Significant Difference 283
11.3 Multiple Comparison Procedures 284
11.4 Summary 290
Class Exercise 291
Exercises 292
IV Introducing Blocking 297
12 Randomized Block Design 299
12.1 Illustrative Example 300
12.2 General Discussion 310
12.3 A Realistic Case Study 312
12.4 Why and How to Block 321
12.5 Summary 324
Class Exercise 325
Exercises 327
13 Latin Square Design 340
13.1 Illustrative Example 340
13.2 General Discussion 349
13.3 Summary 353
Exercise 353
xiv Contents
14 Split Plot Design 354
14.1 Introduction 354
14.2 Analysis 356
14.3 Discussion 369
14.4 Summary 372
Exercises 373
Solutions to the Reader Exercises 378
V Fundamentals of Regression 381
15 Simple Regression 383
15.1 Illustrative Example 383
15.2 General Case 399
15.3 Confidence Intervals 402
15.4 Correlation Coefficient 408
15.5 Pitfalls for the Unwary 414
15.6 Summary 419
Class Exercise 421
Exercises 425
Solutions to the Reader Exercises 430
16 Polynomial Regression 431
16.1 No Pure Error Term 431
16.2 Pure Error Term 448
16.3 Summary 456
Exercises 457
17 Analysis of Covariance 461
17.1 Illustrative Example 461
17.2 Independent Lines 473
17.3 Use of ANCOVA 479
17.4 Summary 485
Exercises 488
Solutions to the Reader Exercises 492
18 General Summary 493
18.1 Review 493
18.2 Where to from Here? 499
18.3 Summary 503
Contents xv
Appendices 504
A Unequal Replications: Two Populations 504
A.I Illustrative Example 504
A.2 General Case 510
Exercises 513
B Unequal Replications: Several Populations 515
B.I Class Comparisons 515
B.2 Factorial Contrasts 522
B.3 Other Cases 526
B.4 Summary 527
Exercises 528
C Alternative Factorial Notation 530
Solution to the Reader Exercise 534
D Regression Through the Origin 535
E Confidence Intervals 538
E.I General Theory 538
T Statistical Tables 542
References 550
Index 552
|
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| building | Verbundindex |
| bvnumber | BV024370635 |
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| discipline | Mathematik |
| format | Book |
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| spelling | Saville, David J. Verfasser aut Statistical methods: the geometric approach David J. Saville ; Graham R. Wood New York, NY ; Berlin <<[u.a.]>> Springer 1991 XV, 560 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer texts in statistics Geometrie (DE-588)4020236-7 gnd rswk-swf Regressionsanalyse (DE-588)4129903-6 gnd rswk-swf Varianzanalyse (DE-588)4187413-4 gnd rswk-swf Vektorgeometrie (DE-588)4264867-1 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Methode (DE-588)4038971-6 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Regressionsanalyse (DE-588)4129903-6 s Vektorgeometrie (DE-588)4264867-1 s DE-188 Varianzanalyse (DE-588)4187413-4 s Statistik (DE-588)4056995-0 s Methode (DE-588)4038971-6 s Geometrie (DE-588)4020236-7 s 2\p DE-604 3\p DE-604 4\p DE-604 Wood, Graham R. Sonstige oth HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018351214&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Saville, David J. Statistical methods: the geometric approach Geometrie (DE-588)4020236-7 gnd Regressionsanalyse (DE-588)4129903-6 gnd Varianzanalyse (DE-588)4187413-4 gnd Vektorgeometrie (DE-588)4264867-1 gnd Statistik (DE-588)4056995-0 gnd Methode (DE-588)4038971-6 gnd |
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| title | Statistical methods: the geometric approach |
| title_auth | Statistical methods: the geometric approach |
| title_exact_search | Statistical methods: the geometric approach |
| title_full | Statistical methods: the geometric approach David J. Saville ; Graham R. Wood |
| title_fullStr | Statistical methods: the geometric approach David J. Saville ; Graham R. Wood |
| title_full_unstemmed | Statistical methods: the geometric approach David J. Saville ; Graham R. Wood |
| title_short | Statistical methods: the geometric approach |
| title_sort | statistical methods the geometric approach |
| topic | Geometrie (DE-588)4020236-7 gnd Regressionsanalyse (DE-588)4129903-6 gnd Varianzanalyse (DE-588)4187413-4 gnd Vektorgeometrie (DE-588)4264867-1 gnd Statistik (DE-588)4056995-0 gnd Methode (DE-588)4038971-6 gnd |
| topic_facet | Geometrie Regressionsanalyse Varianzanalyse Vektorgeometrie Statistik Methode Einführung |
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