應(yīng)用多元統(tǒng)計(jì)分析方法

內(nèi)容概要

應(yīng)用多元回歸分析方法，樣本相關(guān)，多元數(shù)據(jù)點(diǎn)圖，特征值和特征向量，復(fù)合分析原理，因子分析，判別分析，邏輯斯諦回歸方法，聚類分析，均值向量和方差-協(xié)方差矩陣，方差多元分析，預(yù)測模型和多元回歸。本書統(tǒng)計(jì)內(nèi)容覆蓋面廣于國內(nèi)的概率統(tǒng)計(jì)教材，內(nèi)容安排頗有新意，例如，在處理回歸分析時(shí)，強(qiáng)調(diào)了從建模的觀點(diǎn)與需要來考慮。本書設(shè)有大量的例題與練習(xí)題，實(shí)用面豐富，統(tǒng)計(jì)思維清晰。本書適用于高等院校統(tǒng)計(jì)學(xué)專業(yè)和理工科各專業(yè)本科生和研究生作為雙語教材使用。

作者簡介

作者：（美國）約翰遜（Dallas E.Johnson）

書籍目錄

1. APPLIED MULTIVARIATE METHODS. 　1.1 An Overview of Multivariate Methods 　1.2 Two Examples 　1.3 Types of Variables 　1.4 Data Matrices and Vectors 　1.5 The Multivariate Normal Distribution 　1.6 Statistical Computing 　1.7 Multivariate Outliers 　1.8 Multivariate Summary Statistics 　1.9 Standardized Data and]or Z Scores 2. SAMPLE CORRELATIONS 　2.1 Statistical Tests and Confidence Intervals 　2.2 Summary 3. MULTIVARIATE DATA PLOTS 　3.1 Three-Dimensional Data Plots 　3.2 Plots of Higher Dimensional Data 　3.3 Plotting to Check for Multivariate Normality 4. EIGENVALUES AND EIGENVECTORS 　4.1 Trace and Determinant 　4.2 Eigenvalues  4.3 Eigenvalctors  4.4 Geometrinc descriptions（p=2）  4.5 Geometric descriptions（p=3）  4.6 Geometric descriptions（p>3）5.PRINCIPAL COMPONENTS ANALYSIS6.FACTOR ANALYSIS7.DISCRIMINANT ANALYSIS8.LOGISTIC REGRESSION METHODS9.CLUSTER ANALYSIS10.MEAN VECTORS AND VARIANCE-COVARIANCE MATRICES11.MULTIVARIATE ANALYSIS OF VARIANCE12.PREDICTION MODELS AND MULTIVARIATE REGRESSIONAPPENDIX A:MATRIX RESULTSAPPENDIX B:WORK ATTITUDES SURVEYAPPENDIX C:FAMILY CONTROL STUDYREFERENCESINDEX

章節(jié)摘錄

版權(quán)頁：   插圖：   Answer each of the following questions: a Without doing any statistical analyses, please try to answer the followingquestions as best you can. ⅰ Do you see any outliers in this data set? If so, which employees lookto be outliers? Explain why you think these employees are outliers. ⅱ Obviously, the responses are discrete, so these data cannot truly bedistributed as a multivariate normal population. However, do youbelieve the variables are approximately multivariate normally distributed? Explain your answer. The answers to the two preceding questions are not easy. Most researchers are not able to look visually at a data set and provide accurateanswers to these questions. The reason for asking you to consider thesequestions at this point in time is to try to excite you about someupcoming methods that may help provide good answers to these questions. b Using a statistical computing package of your choice, find the correlation matrix corresponding to the responses to these 15 items. e Can these responses be partitioned into subgroups so that the responseswithin a subgroup have high correlations with one another, and sothat responses in different subgroups have low correlations with oneanother? If so, what responses belong to each of the subgroups? d Consider the first three responses. Construct 95% confidence intervalsfor the true correlation between each pair using any method you wish.Do any of your intervals include zero? Which ones? Show your work. e Using any computer plotting package of your choice, create pairwisescatter plots for the first five responses. t Consider your plots in part e. Do there appear to be nonlinear relation-ships between these pairs of variables? Explain your answer. 11 Consider all of the survey data obtained from 975 employees of a nationalrestaurant chain described in Appendix B. a Using a statistical computing package of your choice, find the correlation matrix corresponding to the responses to the first 18 questions inthe survey. b Can these responses be partitioned into subgroups so that the responseswithin a subgroup have high correlations with one another, and sothat responses in different subgroups have low correlations with oneanother? If so, what responses belong to each of the subgroups? e Choose the three pairs of responses that have the highest correlationsbetween them, and construct 95% confidence intervals for the truecorrelation between each pair using any method you wish. Do any ofyour intervals include zero? Which ones? Show your work.

編輯推薦

《海外優(yōu)秀數(shù)學(xué)類教材系列叢書:應(yīng)用多元統(tǒng)計(jì)分析方法(影印版)》可以作為非數(shù)學(xué)專業(yè)本科和研究生的教材，也可以作為各專業(yè)研究人員和工程技術(shù)人員的工具書。

圖書封面

圖書標(biāo)簽Tags

無

評(píng)論、評(píng)分、閱讀與下載

---

    應(yīng)用多元統(tǒng)計(jì)分析方法 PDF格式下載

---