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The course Basic statistics for doctoral students addresses traditional and modern statistical methods popular in pharmaceutical research. Experience with basic statistical procedures and resulting interpretation of results is expected.
Last update: Duintjer Tebbens Erik Jurjen, doc. Dipl.-Math., Ph.D. (13.08.2019)
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Last update: prepocet_literatura.php (19.09.2024)
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Overview of basic concepts Descriptive and mathematical (inductive) statistics. The most common statistical parameters. Normal distribution and the central limit theorem. T-, Chi-squared- and F-distributions. Sampling and statistical independence, correlation. Basic tests, confidence intervals The z-test and various types of t-test, the F-test for equality of variances. One- and two-sided tests, ANOVA for one and more factors. Decomposition of variability using different types of sums of squares. Confidence intervals and their relation to hypothesis tests. Regression models Their purpose and ways to use them. Linear regression and logistic regression. Multivariate models. Survival analysis, Cox models. Tests for categorical (qualitative) variables Chi-squared test of independence (Pearson‘s chi-squared test). Dummy coding for linear and logistic regression. Pairing Paired tests, randomization, (randomized) blocking. Nonparametric methods The usage of nonparametric methods. Permutation tests, Fisher‘s exact test, the rank-sum test (Mann-Whitney U-test), Wilcoxon‘s test, the Kruskal-Wallis test and the Friedland test. Classification tasks Clustering, (linear) discriminant analysis. Planning of experiments Design of Experiments (DoE), factorial designs, PCA, statistical power. Processing of results Verifying the assumptions, exclusion of outliers, missing values, meta-analysis. Last update: Duintjer Tebbens Erik Jurjen, doc. Dipl.-Math., Ph.D. (13.08.2019)
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