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RESEARCH FORUM--Nonparametric Statistics: Methods for Analyzing Data Not Meeting Assumptions Required for the ... (5206 words) |
 | Parametric statistics use mean values, standard deviation and variance to estimate differences between measurements that characterize particular populations. |
| In statistics, robustness is the degree to which a test can stray from the assumptions before changing the confidence you have in the result of the statistical test you have used. |
| As is the case with all statistical tests of differences, the researcher must interpret parametric statistical conclusions based on ordinal data in light of their clinical or practical implications. |
| Courses (2551 words) |
| Statistical procedures valid under unrestrictive assumptions; sign test; confidence intervals; efficiency comparisons; signed rank procedures; Walsh sums; point estimators; two sample rank tests; zeros, ties, and other problems of discrete data; order statistics; Winsorized and truncated point estimators and connection with gross error models; permutation procedures; combinatorial problems, and computer applications. |
| Statistical function estimation and classification; reproducing kernel machines, support vector machines; high dimensional model selection and estimation; Bayesian, empirical Bayesian interpretation of nonparametric learning methods; log density ANOVA and graphical models; tree ensemble methods including bagging, boosting, and random forest. |
| Statistical and approximation theoretic methods of estimating functions and values of functionals from experimental data; experimental design and data analysis problems that arise as problems in approximation theory; convergence theorems; ill-posed inverse problems; Banach and Hilbert space penalty functionals. |
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