Analysis of two-way layouts:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York u.a.
Chapman & Hall
1995
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 138 S. graph. Darst. |
| ISBN: | 0412986116 |
Internformat
MARC
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Datensatz im Suchindex
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| adam_text | Titel: Analysis of two-way layouts
Autor: Mandel, John
Jahr: 1995
Contents Page Preface ix Introduction xiii 1. Statistics of the Straight Line 1.1 The Classical Case 1 1.2 Computations for the Classical Case 2 1.3 An Example of Classical Linear Regression 4 1.4 Weighted Straight Line Fitting 4 1.5 An Example of Weighted Linear Regression 7 1.6 Errors in Both Variables 8 1.7 An Example of Regression with Errors in Both Variables 9 1.8 The Importance of Choosing the Correct Model 10 References 11 2. Structures of Two-Way Tables 2.1 Introduction and Terminology 12 2.2 Structure 13 2.3 The Row-Linear Structure 15 2.4 The Column-Linear Structure 17 Reference 17 3. Functional Expressions of Structure 3.1 Additive Structures 18 3.2 Multiplicative Structures 19 3.3 Row-Linear Structure 19 3.4 Effects of Coding 20 3.5 Interrelationships Between Structures 21 3.6 Canonical Form of the Row-Linear Structure 22 v
Contents vi 4. The Row-Linear and Concurrent Structures 4.1 The Concurrent Structure 24 4.2 Characterization of a Row-Linear Structure: An Example 25 4.3 A Test for Concurrence 28 4.4 Point of Concurrence 29 4.5 Return to the Example 30 4.6 The Interdependence of y tj and x y 32 5. Graphical Representation of the Row-Linear Structure 5.1 Introduction 35 5.2 The h Graph and the h Graph 35 5.3 A Numerical Example 36 5.4 An Important Property of h and h 38 5.5 Return to the Example 39 5.6 Discussion of an Artificial Example 39 Reference 40 6. Some Analysis of Variance 6.1 Introduction 41 6.2 A General Principle 41 6.3 Further Discussion of Table 5.1 42 6.4 Further Discussion of Table 5.4 43 References 44 7. A General Representation of Two-Way Arrays 7.1 Introduction 45 7.2 A Single Multiplicative Term 45 7.3 Algorithm for finding 9, u i and 47 7.4 The Complete Singular Value Decomposition 48 7.5 Approximations Made Possible by Singular Value Decomposition 49 7.6 The Biplot 49 7.7 Additive and Multiplicative Terms 51 References 53 8. A Systematic Approach to the Analysis of Two-Way Arrays 8.1 Introduction 54 8.2 Statistical Procedures 54 8.3 Further Discussion of Table 5.4 58 Reference 58
Contents vii 9. Two-Way Analysis with Replication Within Cells 9.1 Introduction 59 9.2 Analysis of Replicated Two-Way Arrays 59 9.3 The k Statistic 62 Reference 64 10. Interlaboratory Testing 10.1 Introduction 65 10.2 Proficiency Studies 65 10.3 An Example of Proficiency Testing 65 10.4 Youden’s Split-Level Analysis 67 10.5 An Alternative Analysis to Youden’s Model 69 10.6 Analysis of the Example 69 10.7 The Study of a Test Method 74 10.8 The Determination of Beta-Carotene in Serum 75 References 79 11. Missing Values 11.1 Introduction 80 11.2 Theoretical Considerations 80 11.3 A Numerical Example 81 References 84 12. Curve Fitting 12.1 Introduction 85 12.2 The Box-Cox Transformation 86 12.3 Procedure for Fitting the Quadratic Four Parameter Curve 86 12.4 First Numerical Example 87 12.5 A Second Example 88 12.6 Conclusion 89 References 90 Appendix: Fitting a Quadratic Function 91 13. Two-Way Tables with Quantitative Labels 13.1 Introduction 93 13.2 The Density of Aqueous Solutions of Alcohol 94 13.3 Conclusions 99 Reference 99
viii Contents 14. Applications to Real Data Sets 14.1 Introduction 100 14.2 Total Solids in Wet Brewers’ Yeast 101 14.3 Absorption of Gamma Rays by Aluminum 104 14.4 Two Further Examples 108 14.5 Potassium and Chlorine in Serum 114 References 120 15. One-Way Tables and the h Statistic 15.1 Introduction 121 15.2 One-Way Tables 121 15.3 Iterative Weighting for One-Way Tables 125 References 126 16. How Useful Are Models? 127 127 128 128 129 129 130 131 131 135 136 16.1 Introduction 16.2 Data Reduction 16.3 Prediction 16.4 Linear Structures 16.5 Minimal Assumptions Analysis 16.6 Analysis of Variance 16.7 Graphical Results 16.8 Models and Logic 16.9 The Brightness of Shrink-wrapped Paper 16.10 Conclusions Reference
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| isbn | 0412986116 |
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| spelling | Mandel, John Verfasser aut Analysis of two-way layouts John Mandel New York u.a. Chapman & Hall 1995 XIV, 138 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Statistik Mathematical statistics Tables Statistics Charts, diagrams, etc Tabelle (DE-588)4184303-4 gnd rswk-swf Datenanalyse (DE-588)4123037-1 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Statistik (DE-588)4056995-0 s Tabelle (DE-588)4184303-4 s DE-604 Datenanalyse (DE-588)4123037-1 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006643541&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mandel, John Analysis of two-way layouts Statistik Mathematical statistics Tables Statistics Charts, diagrams, etc Tabelle (DE-588)4184303-4 gnd Datenanalyse (DE-588)4123037-1 gnd Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4184303-4 (DE-588)4123037-1 (DE-588)4056995-0 |
| title | Analysis of two-way layouts |
| title_auth | Analysis of two-way layouts |
| title_exact_search | Analysis of two-way layouts |
| title_full | Analysis of two-way layouts John Mandel |
| title_fullStr | Analysis of two-way layouts John Mandel |
| title_full_unstemmed | Analysis of two-way layouts John Mandel |
| title_short | Analysis of two-way layouts |
| title_sort | analysis of two way layouts |
| topic | Statistik Mathematical statistics Tables Statistics Charts, diagrams, etc Tabelle (DE-588)4184303-4 gnd Datenanalyse (DE-588)4123037-1 gnd Statistik (DE-588)4056995-0 gnd |
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