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Mathematical statistics
Sep 26, 2019 | 8 min read

Conditional Probability

Introducing conditional probability and independence of events. Bayes' rule comes in as well.

Macro of a Intel motherboard
Mathematical statistics
Sep 25, 2019 | 12 min read

Basic Concepts

Introducing the concept of the probability of an event. Also covers set operations and the sample-point method.

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Mathematical statistics
Sep 25, 2019 | 4 min read

Definitions for Continuous Random Variables

The probability density function, cumulative distribution function, expectation and variance for a continuous random variable.

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Nonparametric methods
May 6, 2019 | 6 min read

Density Estimation

Wanna know more about histograms and density plots?

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Nonparametric methods
May 6, 2019 | 11 min read

Bootstrap

The procedure and applications of the nonparametric bootstrap.

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Nonparametric methods
May 6, 2019 | 17 min read

Categorical Data

Dealing with contingency tables. Fisher's exact test comes back, together with Chi-squared test and likelihood-ratio test. We also talk about testing goodness-of-fit.

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Nonparametric methods
May 5, 2019 | 9 min read

Correlation and Concordance

Measures for the strength of relationships between variables (two or more). The Spearman rank correlation coefficient, Kendall's tau and Kendall's W are introduced.

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Nonparametric methods
May 4, 2019 | 10 min read

Basic Tests for Three or More Samples

Nonparametric analogues of the one-way classification ANOVA and the simplest two-way classifications, namely the Kruskal-Wallis test, the Jonckheere-Terpstra test, and the Friedman test.

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Nonparametric methods
May 2, 2019 | 11 min read

Two Independent Samples

With two independent samples, we may ask about the centrality of the population distribution and see if there's a shift. Wilcoxon-Mann-Whitney is here!

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Nonparametric methods
Apr 29, 2019 | 6 min read

Methods for Paired Samples

An obvious extension of the one-sample procedures.