國立陽明交通大學開放式課程(OpenCourseWare, OCW).

多變量分析 Multivariate Analysis - 第一週 Introduction

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課程影音列表

周次	課程內容	課程影音
第一週	Introduction	線上觀看
第一週	Aspects of multivariate analysis　 -introduction -review of linear algebra and matrices	線上觀看
第一週	Matrix algebra and random vectors -random vectors -distance -sample geometry -random sampling of sample mean vector and covariance matrix -generalized variance -matrix operations of sample values	線上觀看
第二週	Multivariate normal distribution -density and properties -sampling from multivariate normal and MLE -sampling distribution and large sample behavior of X and S -assessing the assumption of normality -transformation to near normality	線上觀看
第三週	Inferences about a mean vector -inference for a normal population mean -Hotelling's T2 and likelihood ratio test -confidence regions and simultaneous comparisons of component means -large sample inferences about a population mean vector	線上觀看
第四週	Comparisons of several multivariate means -paired comparisons and repeated measures design -comparing mean vectors from two populations -comparing several multivariate population means (one-way MANOVA)	線上觀看
第五週	Principal components -introduction -population principal components -summarizing sample variation by principal components -large sample inferences	線上觀看
第六週	Factor analysis (1/2) -introduction -orthogonal factor model -methods of estimation	線上觀看
第八週	Factor analysis (2/2) -factor rotation -factor scores	線上觀看
第十週	Clustering (1/2) -introduction -similarity measures -hierarchical clustering methods	線上觀看
第十一週	Clustering (2/2) -k-means clustering methods -model-based clustering -multidimensional scaling	線上觀看
第十二週	Discrimination and classification (1/2) -introduction	線上觀看
第十三週	Discrimination and classification (2/2) -evaluation of classification functions -classification with several populations -fisher's method for discriminating among several populations	線上觀看
第十四週	Canonical correlation analysis (1/2) -introduction -canonical variates and canonical correlations -interpreting the population canonical variables	線上觀看
第十五週	Canonical correlation analysis (2/2) -sample canonical variates and sample canonical correlations -sample descriptive measures of goodness-of-fit -proportions of explained sample variance -large sample inferences	線上觀看