文档介绍：Introduction to Multivariate Data Analysis
第17章多元分析简介
本章概要
To define multivariate analysis.
To describe multiple regression analysis and multiple discriminant analysis.
To learn about factor analysis and cluster analysis.
To gain an appreciation of perceptual mapping.
To develop an understanding of conjoint analysis.
Multivariate Analysis 多变量分析
The term multivariate analysis is used to analyze multiple measurements on each individual or object being studied.
Multivariate Techniques 多变量技术
- Multiple regression analysis(多重回归分析)
- Multiple discriminant analysis(多重判别分析)
- Cluster analysis(聚类分析)
- Factor analysis(因子分析)
- Perceptual mapping(感知图)
- Conjoint analysis(结合分析)
Multivariate Software 多变量分析软件
putational requirements for the various multivariate procedures discussed in this chapter are substantial. As a practical matter, running the various types of analyses presented requires puter and appropriate software.
Multiple Regression Analysis 多重回归分析
Multiple Regression Analysis Defined
Multiple regression analysis enables the researcher to predict the level of magnitude of a dependent variable based on the levels of more than one independent variable.
Multiple Regression Analysis
Basic Equation(方程)
Y = a + b1X1 + b2X2 + b3X3 + …+ BnXn
where
Y = dependent or criterion variable
X = estimated constant
b 1-n = coefficients associated with the predictor variables so that
a change of one unit in X will cause a change of b1 units in
Y; the values for the coefficients are estimated from the
regression analysis
X 1-n = predictor (independent) variables that influence the
dependent variable
Multiple Regression Analysis
Measures(多量)
Coefficient of Determination R-square
This statistic can assume values from 0 to 1 and provides a measure of the percentage of the variation in the dependent variable that is explained by variation in the independent variables.
The b Values
Or regression coefficients, indicate the effect of the individual independent variables o