Principal components
| Week | Course Content | Course Video | Course Download |
|---|---|---|---|
| Week 1 | Introduction | Watch Online | MP4 Download |
| Week 1 | Aspects of multivariate analysis -introduction -review of linear algebra and matrices | Watch Online | MP4 Download |
| Week 1 | 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 | Watch Online | MP4 Download |
| Week 2 | 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 | Watch Online | MP4 Download |
| Week 3 | 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 | Watch Online | MP4 Download |
| Week 4 | 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) | Watch Online | MP4 Download |
| Week 5 | Principal components -introduction -population principal components -summarizing sample variation by principal components -large sample inferences | Watch Online | MP4 Download |
| Week 6 | Factor analysis (1/2) -introduction -orthogonal factor model -methods of estimation | Watch Online | MP4 Download |
| Week 8 | Factor analysis (2/2) -factor rotation -factor scores | Watch Online | MP4 Download |
| Week 10 | Clustering (1/2) -introduction -similarity measures -hierarchical clustering methods | Watch Online | MP4 Download |
| Week 11 | Clustering (2/2) -k-means clustering methods -model-based clustering -multidimensional scaling | Watch Online | MP4 Download |
| Week 12 | Discrimination and classification (1/2) -introduction | Watch Online | MP4 Download |
| Week 13 | Discrimination and classification (2/2) -evaluation of classification functions -classification with several populations -fisher's method for discriminating among several populations | Watch Online | MP4 Download |
| Week 14 | Canonical correlation analysis (1/2) -introduction -canonical variates and canonical correlations -interpreting the population canonical variables | Watch Online | MP4 Download |
| Week 15 | 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 | Watch Online | MP4 Download |
COURSE
Menu