BMTRY 704 : Nonparametric Methods in Biology and Medicine

DESCRIPTION

This course covers levels of measurements, order statistics, statistical methods for independent and correlated samples, distribution-free measures of association and testing. Students will identifysituations where parametric techniques do not apply; to apply nonparametric methods for testing equality of variances; to test goodness of fit of data to a probability distribution; and to analyze one and two-way layouts with nonparametric multiple comparisons.

TOPICS:

• Nonparametric rationale, e.d.f.’s
• Power, A.R.E., conservative tests
• Binary data, Clopper-Pearson intervals
• Interval estimation of quantiles
• Sign test, Wilcoxon signed ranks, variations
• Null distributions, nonp. C.I., goodness of fit
• Wilcoxon rank sum test, ordinal data case
• Shift para. C.I., 2-sample randomization test
• Rank-based 2-sample dispersion tests
• Jackknife, other dispersion tests, ranking assumptions
• Omnibus test, two-way tables
• Kruskal-Wallis test, Jonckheere test
• Multiple comparison techniques
• Contrast estimation
• Friedman’s test, Page’s test, aligned ranks
• Multiple comparison techniques, rank transformation
• Wilcoxon signed ranks associated tests
• Modified Page test, two contrast estimators
• Spearman correlation, Kendall’s tau
• Kendall’s tau derivatives, other procedures
• One regression slope, estimate and test
• Two regression slopes
• Broad alternatives tests, U-statistics
• Ranking and selection