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Statistical data analysis / edited by Ram Gnanadesikan.
- Format:
- Book
- Series:
- Proceedings of symposia in applied mathematics. AMS short course lecture notes ; Volume 28.
- Proceedings of Symposia in Applied Mathematics : AMS Short Course Lecture Notes, 0160-7634 ; Volume 28
- Language:
- English
- Subjects (All):
- Mathematical statistics--Congresses.
- Mathematical statistics.
- Physical Description:
- 1 online resource (153 p.)
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, 1983.
- Language Note:
- English
- Contents:
- ""TABLE OF CONTENTS""; ""CHAPTER 1 Introduction""; ""Bibliography""; ""CHAPTER 2 Graphical Methods""; ""2.1 Introduction""; ""2.2 Looking at a single collection of numbers""; ""2.3 Comparing two or more sets of numbers""; ""2.4 Exploring distributional models for data""; ""2.5 Looking at relationships among variables""; ""2.6 Plots for higher-dimensional data""; ""2.7 Concluding remarks""; ""Bibliography""; ""CHAPTER 3 Robust Methods""; ""3.1 Introduction""; ""3.2 The regression problem""; ""3.3 Estimation of location: I""; ""3.4 Outliers""; ""3.5 Estimation of location: II""
- ""3.6 Location and scale""""3.7 Robust regression""; ""3.8 Robust smoothing""; ""3.9 Other areas""; ""Bibliography""; ""CHAPTER 4 Multilinear Methods""; ""4.1 Introduction""; ""4.2 A basic bilinear model""; ""4.3 The rotation problem""; ""4.4 Restrictions used to aid comparison""; ""4.5 Restrictions to find the true underlying factors""; ""4.6 Singular value decomposition""; ""4.7 Some more bilinear models""; ""4.8 Trilinear models""; ""4.9 An application""; ""4.10 Appendix 1 � Relationship among some models""; ""4.11 Appendix 2 � PARAFAC preprocessing""; ""Bibliography""
- ""CHAPTER 5 A Case Study in Data Analysis""""5.1 Introduction""; ""5.2 The data""; ""5.3 Factor analysis and analysis of variance models""; ""5.4 Factor analysis results""; ""5.4.1 Two-factor model""; ""5.4.2 Residuals""; ""5.4.3 A robust fit""; ""5.4.4 Parallel factors""; ""5.4.5 Size effects""; ""5.4.6 Recapitulation""; ""5.5 Analysis of variance results""; ""5.5.1 Estimates of main effects and two-way interactions""; ""5.5.2 Decompositions of the two-way interactions""; ""5.5.3 Assessing the significance of the decompositions""; ""5.5.4 Decomposition of the three-way interaction""
- ""5.5.5 Recapitulation""""5.6 Summary, perspective, and critique""; ""5.7 Acknowledgement""; ""Bibliography""; ""CHAPTER 6 Summary and Conclusions""; ""Bibliography""
- Notes:
- "Lecture notes prepared for the American Mathematical Society Short Course, Statistical Data Analysis, held in Toronto, Ontario, Canada August 21-22, 1982"--T.p. verso.
- Includes bibliographical references at the end of each chapters.
- Description based on print version record.
- ISBN:
- 0-8218-9243-6
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