Preface --; 1 The data --; Discussion --; 2 Univariate plots and descriptive statistics --; Discussion --; 3 Scatterplot, correlation and covariance --; Discussion --; 4 Face plots --; Discussion --; 5 Multiple linear regression --; 5.1 Introductory remarks --; 5.2 The model of multiple linear regression --; 5.3 Least squares estimation --; 5.4 Residual analysis --; 5.5 Model building, analysis of variance --; 5.6 The overall test of significance --; 5.7 Coefficient of determination and multiple correlation --; 5.8 Tests of partial hypotheses --; 5.9 Standard errors of the regression coefficients --; 5.10 Selection of a subset of regressors --; Discussion --; Further study --; 6 Linear combinations --; 6.1 Introduction --; 6.2 A special linear combination --; 6.3 Linear combinations of two variables --; 6.4 Linear combinations of several variables --; 6.5 Mean and standard deviation of linear combinations --; 7 Linear discriminant analysis for two groups --; 7.1 Introduction --; 7.2 Multivariate standard distance --; 7.3 Relationship between discriminant analysis and multiple linear regression --; 7.4 Testing hypotheses about the discriminant function --; 7.5 Screening a discriminant function --; 7.6 Further uses of the coefficient of determination --; 7.7 Classification of observations --; 8 Identification analysis --; 8.1 Introduction --; 8.2 Identification analysis as a special case of discriminant analysis --; 8.3 More about standard distance --; 8.4 Identification of a bank note --; 8.5 Analysis of outliers --; 9 Specification analysis --; 9.1 Standard distance between a sample and a hypothetical mean vector --; 9.2 Specification analysis of the bank notes --; 9.3 Confidence regions for a mean vector --; 9.4 A more general model --; 9.5 Specification faces --; 10 Principal component analysis --; 10.1 Introduction --; 10.2 Principal components of two variables --; 10.3 Properties of principal components in the multidimensional case --; 10.4 Principal component analysis of the genuine bank notes --; 10.5 The singular case --; 10.6 Principal components, standard distance, and the multivariate normal distribution --; 10.7 Standard errors of the principal component coefficients and related problems --; 10.8 Principal component analysis of several groups --; 11 Comparing the covariance structures of two groups --; 11.1 Introduction --; 11.2 The bivariate case --; 11.3 The multivariate case --; 11.4 Comparison of the covariance matrices of the genuine and forged bank notes --; 11.5 Partial statistics for the analysis of Ymaxand Ymix --; 11.6 Stepwise analysis of Ymax and Ymix --; 11.7 Relationships to standard distance and principal component analysis --; 11.8 Critical values of the distribution of Fmaxand Fmix --; 12 Exercises --; 12.1 Exercises based on the bank note data --; 12.2 Additional exercises --; 13 Mathematical appendix --; 13.1 Introduction and preliminaries --; 13.2 Data matrix, mean vector, covariance and correlation --; 13.3 Multiple linear regression --; 13.4 Linear combinations --; 13.5 Multivariate standard distance and the linear discriminant function --; 13.6 Principal component analysis --; 13.7 Comparison of two covariance matrices --; References.
عنوان اصلی به زبان دیگر
عنوان اصلي به زبان ديگر
Angewandte multivariate Statistik.
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Analyse multivariée.
موضوع مستند نشده
Multivariate analyse.
موضوع مستند نشده
Multivariate analysis.
رده بندی کنگره
شماره رده
QA278
نشانه اثر
.
B476
1988
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )