Robust Diagnostic Regression Analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
2000
|
| Schriftenreihe: | Springer Series in Statistics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book is about using graphs to understand the relationship between a regression model and the data to which it is fitted. Because of the way in which models are fitted, for example, by least squares, we can lose infor mation about the effect of individual observations on inferences about the form and parameters of the model. The methods developed in this book reveal how the fitted regression model depends on individual observations and on groups of observations. Robust procedures can sometimes reveal this structure, but downweight or discard some observations. The novelty in our book is to combine robustness and a forward" " search through the data with regression diagnostics and computer graphics. We provide easily understood plots that use information from the whole sample to display the effect of each observation on a wide variety of aspects of the fitted model. This bald statement of the contents of our book masks the excitement we feel about the methods we have developed based on the forward search. We are continuously amazed, each time we analyze a new set of data, by the amount of information the plots generate and the insights they provide. We believe our book uses comparatively elementary methods to move regression in a completely new and useful direction. We have written the book to be accessible to students and users of statistical methods, as well as for professional statisticians |
| Beschreibung: | 1 Online-Ressource (XVI, 328 p) |
| ISBN: | 9781461211600 9781461270270 |
| ISSN: | 0172-7397 |
| DOI: | 10.1007/978-1-4612-1160-0 |
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Datensatz im Suchindex
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| dewey-full | 519.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
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| dewey-sort | 3519.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-1160-0 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:05Z |
| institution | BVB |
| isbn | 9781461211600 9781461270270 |
| issn | 0172-7397 |
| language | English |
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| spelling | Atkinson, Anthony Verfasser aut Robust Diagnostic Regression Analysis by Anthony Atkinson, Marco Riani New York, NY Springer New York 2000 1 Online-Ressource (XVI, 328 p) txt rdacontent c rdamedia cr rdacarrier Springer Series in Statistics 0172-7397 This book is about using graphs to understand the relationship between a regression model and the data to which it is fitted. Because of the way in which models are fitted, for example, by least squares, we can lose infor mation about the effect of individual observations on inferences about the form and parameters of the model. The methods developed in this book reveal how the fitted regression model depends on individual observations and on groups of observations. Robust procedures can sometimes reveal this structure, but downweight or discard some observations. The novelty in our book is to combine robustness and a forward" " search through the data with regression diagnostics and computer graphics. We provide easily understood plots that use information from the whole sample to display the effect of each observation on a wide variety of aspects of the fitted model. This bald statement of the contents of our book masks the excitement we feel about the methods we have developed based on the forward search. We are continuously amazed, each time we analyze a new set of data, by the amount of information the plots generate and the insights they provide. We believe our book uses comparatively elementary methods to move regression in a completely new and useful direction. We have written the book to be accessible to students and users of statistical methods, as well as for professional statisticians Statistics Mathematical statistics Statistical Theory and Methods Statistik Robuste Statistik (DE-588)4451047-0 gnd rswk-swf Regressionsanalyse (DE-588)4129903-6 gnd rswk-swf Regressionsanalyse (DE-588)4129903-6 s Robuste Statistik (DE-588)4451047-0 s 1\p DE-604 Riani, Marco Sonstige oth https://doi.org/10.1007/978-1-4612-1160-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Atkinson, Anthony Robust Diagnostic Regression Analysis Statistics Mathematical statistics Statistical Theory and Methods Statistik Robuste Statistik (DE-588)4451047-0 gnd Regressionsanalyse (DE-588)4129903-6 gnd |
| subject_GND | (DE-588)4451047-0 (DE-588)4129903-6 |
| title | Robust Diagnostic Regression Analysis |
| title_auth | Robust Diagnostic Regression Analysis |
| title_exact_search | Robust Diagnostic Regression Analysis |
| title_full | Robust Diagnostic Regression Analysis by Anthony Atkinson, Marco Riani |
| title_fullStr | Robust Diagnostic Regression Analysis by Anthony Atkinson, Marco Riani |
| title_full_unstemmed | Robust Diagnostic Regression Analysis by Anthony Atkinson, Marco Riani |
| title_short | Robust Diagnostic Regression Analysis |
| title_sort | robust diagnostic regression analysis |
| topic | Statistics Mathematical statistics Statistical Theory and Methods Statistik Robuste Statistik (DE-588)4451047-0 gnd Regressionsanalyse (DE-588)4129903-6 gnd |
| topic_facet | Statistics Mathematical statistics Statistical Theory and Methods Statistik Robuste Statistik Regressionsanalyse |
| url | https://doi.org/10.1007/978-1-4612-1160-0 |
| work_keys_str_mv | AT atkinsonanthony robustdiagnosticregressionanalysis AT rianimarco robustdiagnosticregressionanalysis |