Introduction to bivariate and multivariate analysis:
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Glenview, Ill. [u.a.]
Scott, Foresman
1980
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 444 S. graph. Darst. |
| ISBN: | 0673150992 |
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MARC
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| adam_text | Titel: Introduction to bivariate and multivariate analysis
Autor: Lindeman, Richard H
Jahr: 1980
Contents 1 / Bivariate Regression Analysis 1 1.1 Linear Equations 2 1.2 Using Linear Equations in Prediction 4 1.3 The Standard Error of Estimate 12 1.4 The Second Regression Line 14 1.5 The Linear Regression Model I5 1.6 Inferences about Parameters in the Linear Regression Model 1.7 Linear Regression in Matrix Terms 31 1.8 Exercises 33 2 / Bivariate Linear Correlation 36 2.1 The Correlation Coefficient 36 2.2 Alternative Formulas for the Correlation Coefficient 38 2.3 A Numerical Example 40 2.4 A Mathematical Model for Bivariate Linear Correlation 43 2.5 The Sampling Distribution of r 46 2.6 Interval Estimation in Correlation Analysis 47 2.7 Tests of Hypotheses in Correlation Analysis 49 2.8 The Design of Regression and Correlation Studies 54 2.9 Interpretation of Results of Correlational Studies 57 2.10 Factors That Affect the Sizes of Correlation Coefficients 2.11 Exercises 61 3 / Further Methods of Bivariate Correlation 3.1 Rank Correlation Methods 63 3.2 Biserial Correlation 73 3.3 Point Biserial Correlation 76 3.4 Tetrachoric Correlation 78 3.5 Measures of Association 82 3.6 Intraclass Correlation 87 3.7 Exercises 90
4 / Multiple Regression and Correlation 93 4.1 Mathematical Models in Multiple Regression Analysis 93 4.2 Estimates of Parameters in Multiple Regression 98 4.3 The Multiple Correlation Coefficient 108 4.4 Tests of Significance in Multiple Regression and Correlation 110 4.5 Partial Correlation 115 4.6 Selecting a Satisfactory Subset of Predictors 117 4.7 Assessing the Relative Contributions of Predictors 119 4.8 Applications 121 4.9 Multivariate Correction for Restriction in Range 127 4.10 The Use of Dummy Variables in Regression Analysis 129 4 .11 Analysis of Variance as a Multiple Regression Problem 131 4.12 Exercises 141 5 / Canonical Correlation 146 5 .1 Rationale Underlying Canonical Correlation 146 5.2 The Mathematics of Canonical Correlation 148 5.3 Computation of Canonical Correlation Coefficients 153 5.4 Significance of Tests in Canonical Correlation 155 5.5 Determination of the Weights c and d 156 5.6 Interpreting Results of Canonical Correlation Analysis 158 5.7 Precautions When Using Canonical Correlation Analysis 163 5.8 Exercises 164 6 / Discriminant Analysis 170 6.1 The Fisher Linear Discriminant Function 171 6.2 The General Case of G Groups 183 6.3 The Classification Problem: Assigning Individuals to Groups 196 6.4 Exercises 215 7 / Multivariate Analysis of Variance 220 7.1 One-way Manova 221 7.2 Two-way Manova 229 7.3 Exercises 242
8 / Factor Analysis 245 8.1 Models in Exploratory Factor Analysis 248 8.2 The Spearman and Holzinger Models 254 8.3 Principal-Component Analysis 262 8.4 Transformed (Rotated) Solutions 266 8.5 Factor Scores 281 8.6 Exercises 283 9 / Multivariate Analysis of Categorical Data 286 9.1 The Multinomial Distributions: Definitions and Notations 288 9.2 Large-Sample Approximations for a Multinomial Distribution 290 9.3 Estimation of Multinomial Class Probabilities and Tests of Hypotheses 294 9.4 Asymptotic Distributions of Estimators of Linear Combinations of Multinomial Class Probabilities 301 9.5 Asymptotic Distributions of Estimators of Non-Linear Combinations of Multinomial Class Probabilities 312 9.6 Log-Linear Models 327 9.7 Computing 363 9.8 Exercises 364 Appendices 375 A Matrix Algebra 375 S Some Elementary Differential Calculus 387 C Tables 397 D Solution of a System of Linear Equations 423 E Procedure for Multivariate Correction for Restriction in Range 426 References 432 Index 439
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| indexdate | 2024-07-09T15:43:00Z |
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| isbn | 0673150992 |
| language | English |
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| spelling | Lindeman, Richard H. Verfasser aut Introduction to bivariate and multivariate analysis Richard H. Lindeman ; Peter F. Merenda ; Ruth Z. Gold Glenview, Ill. [u.a.] Scott, Foresman 1980 444 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Statistik Multivariate analysis Statistics methods Multivariate Analyse (DE-588)4040708-1 gnd rswk-swf Multivariate Analyse (DE-588)4040708-1 s DE-604 Merenda, Peter F. Verfasser aut Gold, Ruth Z. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001487319&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lindeman, Richard H. Merenda, Peter F. Gold, Ruth Z. Introduction to bivariate and multivariate analysis Statistik Multivariate analysis Statistics methods Multivariate Analyse (DE-588)4040708-1 gnd |
| subject_GND | (DE-588)4040708-1 |
| title | Introduction to bivariate and multivariate analysis |
| title_auth | Introduction to bivariate and multivariate analysis |
| title_exact_search | Introduction to bivariate and multivariate analysis |
| title_full | Introduction to bivariate and multivariate analysis Richard H. Lindeman ; Peter F. Merenda ; Ruth Z. Gold |
| title_fullStr | Introduction to bivariate and multivariate analysis Richard H. Lindeman ; Peter F. Merenda ; Ruth Z. Gold |
| title_full_unstemmed | Introduction to bivariate and multivariate analysis Richard H. Lindeman ; Peter F. Merenda ; Ruth Z. Gold |
| title_short | Introduction to bivariate and multivariate analysis |
| title_sort | introduction to bivariate and multivariate analysis |
| topic | Statistik Multivariate analysis Statistics methods Multivariate Analyse (DE-588)4040708-1 gnd |
| topic_facet | Statistik Multivariate analysis Statistics methods Multivariate Analyse |
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