# Mathematics

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### Using Bayes Factors to Get the Most out of Linear Regression: A Practical Guide Using R

This guide is for readers who want to make rich inferences from their data. It does not contain anything new with regard to R code or theoretical development, but it does piece together informati...

### Correlations and likert scales: What is the bias?

A person on ResearchGate asked the following question: How can I correlate ordinal variables (attitude Likert scale) with continuous ratio data (years of experience)? Currently, I am working on my ...

### Automatic testing of all possible multiple regression models given a set of predictors

Abstract Researcher choice in reporting of regression models allow for questionable research practices. Here I present a function for R that reports all possible regression models given a set of pr...

### Are all significance tests made of the same stuff?

No! If you are like most of the sane researchers out there, you don't spend your days and nights worrying about the nuances of different statistical concepts. Especially ones as traditional as thes...

### Binomial calculator based on continuous hypothesis testing: there is no such a thing as a discrete hypothesis.

We present R code to compute the posterior probability based on continuous (instead of traditionally discrete) hypotheses (intervals), when the point-hypotheses have equal probabilities because ...

### Finding mixed cases in exploratory factor analysis

Abstract Two methods are presented that allow for identification of mixed cases in the extraction of general factors. Simulated data is used to illustrate them. Introduction General factors can be ...

### Computing Intraclass Correlations (ICC) as Estimates of Interrater Reliability in SPSS

Intraclass correlation (ICC) is one of the most commonly misused indicators of interrater reliability, but a simple step-by-step process will get it right.  In this article, I provide a brief revie...

### P-curves are better at effect size estimation than trim-and-fill (and Michael Jordan is better at free throws than I am)

I like p-curve analyses. They are a great tool to evaluate whether sets of studies have evidential value or not. In a recent paper, Simonsohn, Nelson, &amp; Simmons (2014) show how p-curve analyses...

### Quine's Paradox and Gödel's Theorem

It’s a commonplace to compare Gödel’s theorem to the liar paradox: The sentence This sentence is not true. is neither true nor false. Switch out “provable” for “true” and you get This sentence is n...

Today on Twitter there was some chatting about one-sided p-values. Daniel Lakens thinks that by 2018 we'll see a renaissance of one-sided p-values due to the advent of preregistration. There was a...

### NWO, Gender bias and Simpson's paradox

• Casper Albers

This blog post is an abridged and translated version of  my blog post in Dutch. A version of this blog post, further abridged to fit within the 500 word limit, has been submitted to PNAS as comment...