Matrix algebra and random vectors

週次課程內容課程影音課程下載
第一週Introduction線上觀看MP4下載
第一週Aspects of multivariate analysis
-introduction
-review of linear algebra and matrices
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第一週Aspects of multivariate analysis
-introduction
-review of linear algebra and matrices
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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
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第三週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
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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)
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第五週Principal components
-introduction
-population principal components
-summarizing sample variation by principal components
-large sample inferences
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第六週Factor analysis (1/2)
-introduction
-orthogonal factor model
-methods of estimation
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第八週Factor analysis (2/2)
-factor rotation
-factor scores
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第十週Clustering (1/2)
-introduction
-similarity measures
-hierarchical clustering methods
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第十一週Clustering (2/2)
-k-means clustering methods
-model-based clustering
-multidimensional scaling 
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第十二週Discrimination and classification (1/2)
-introduction
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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
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第十四週Canonical correlation analysis (1/2)
-introduction
-canonical variates and canonical correlations
-interpreting the population canonical variables
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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
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