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>eR-BioStat
Basic concepts in statistical inference
using R
Topics
The course consists of two parts: single and multiple comparisons. All the examples are illustrated using R and the code is a part of the online books. Slides are available only for the first part.
R packages:
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library(pwr)
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library(equivalence)
Useful R functions include:
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t.test()
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pwr.t.test()
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wilcox.test()
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pwilcox()
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tost()
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p.adjust()
The course in slides format & online books
Slides
Slides are available for the topic of single comparison and cover the following topics:
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Introduction
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Student’s t-test
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One sample t-test
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One sided test
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Two sided test
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Confidence interval for the mean
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Two samples t-test
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What should we test?
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Assuming equal variances
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Assuming different variances
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Power of a t-test
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Mann-Whitney-Wilcoxon test
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The limited role of the p-value
Online books
Part 1: single comparison.
The first part of the online book is focused on single comparison and cover the following topics:
The first part of the online book is focused on single comparison and cover the following topics:
-
Introduction
-
Student’s t-test
-
One sample t-test
-
One sided test
-
Two sided test
-
Confidence interval for the mean
-
Two samples t-test
-
What should we test?
-
Assuming equal variances
-
Assuming different variances
-
Power of a t-test
-
Mann-Whitney-Wilcoxon test
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The limited role of the p-value
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Equivalence tests
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Introduction
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Two samples test
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The TOST procedure
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Difference testing versus equivalence testing one sample test
The last 5 topics are covered in the slides.
Part 2: multiple comparisons.
The second part of the online book is focused on single comparison and cover the following topics:
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Introduction
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Distribution of the p-values
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Introduction
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Single comparison between 2 groups
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A single comparison… among many others
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The Bonferroni correction
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Permutation test
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Controlling the False Discovery Rate
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Detecting associations
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A Monte Carlo simulation
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