Publications by Aaron Schlegel
Multiplicative Congruential Generators in R
Part 2 of 2 in the series Random Number GenerationMultiplicative congruential generators, also known as Lehmer random number generators, is a type of linear congruential generator for generating pseudorandom numbers in \(U(0, 1)\). The multiplicative congruential generator, often abbreviated as MLCG or MCG, is defined as a recurrence relation sim...
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Combined Linear Congruential Generators with R
Part of 3 in the series Random Number GenerationCombined linear congruential generators, as the name implies, are a type of PRNG (pseudorandom number generator) that combine two or more LCGs (linear congruential generators). The combination of two or more LCGs into one random number generator can result in a marked increase in the period length ...
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Kruskal-Wallis One-Way Analysis of Variance of Ranks
The Kruskal-Wallis test extends the Mann-Whitney-Wilcoxon Rank Sum test for more than two groups. The test is nonparametric similar to the Mann-Whitney test and as such does not assume the data are normally distributed and can, therefore, be used when the assumption of normality is violated. This example will employ the Kruskal-Wallis test on the...
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Tukey’s Test for Post-Hoc Analysis
In a previous example, ANOVA (Analysis of Variance) was performed to test a hypothesis concerning more than two groups. Although ANOVA is a powerful and useful parametric approach to analyzing approximately normally distributed data with more than two groups (referred to as ‘treatments’), it does not provide any deeper insights into patterns ...
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