corp.ling.stats is a research blog by Sean Wallis focusing on the intersection between corpus linguistics research and mathematical statistics and probability theory. About this blog • Latest…
I am very pleased to announce that my new book, Statistics in Corpus Linguistics Research, is now available from Routledge. Drawing on more than ten years of research, and containing a large quantity of material never published before, the book is written for corpus linguistics researchers of all kinds, from students of corpus linguistics wishing to apply statistical analysis for the first time,… Continue reading Out now… Statistics in Corpus Linguistics Research (Routledge)→
Introduction Over the last year, the field of psychology has been rocked by a major public dispute about statistics. This concerns the failure of claims in papers, published in top psychological journals, to replicate. Replication is a big deal: if you publish a correlation between variable X and variable Y — that there is an… Continue reading The replication crisis: what does it mean for corpus linguistics?→
Abstract Paper (PDF) This paper summarises a methodological perspective towards corpus linguistics that is both unifying and critical. It emphasises that the processes involved in annotating corpora and carrying out research with corpora are fundamentally cyclic, i.e. involving both bottom-up and top-down processes. Knowledge is necessarily partial and refutable. This perspective unifies ‘corpus-driven’ and ‘theory-driven’… Continue reading What might a corpus of parsed spoken data tell us about language?→
The perspective that the study of linguistic data should be driven by studies of individual speaker choices has been the subject of attack from a number of linguists. The first set of objections have come from researchers who have traditionally focused on linguistic variation expressed in terms of rates per word, or per million words.… Continue reading Is language really “a set of alternations?”→
Spoken categories, modal verbs and change over time In a recently-published paper, Bowie, Wallis and Aarts (2013) demonstrate that observations regarding changes in the frequency of modal verbs over time are highly sensitive to differences in genre (‘register’ or ‘text category’). Our paper, although based on spoken British English, may shed some light on a… Continue reading Genre differences and experimental observations→
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1. Introduction Paper (PDF) There is a growing interest among practising researchers in plotting data with confidence intervals (sometimes termed ‘credible intervals’ or ‘compatibility intervals’). However, many statistics compendia offer extremely limited coverage of confidence interval methods, and cited formulae often involve an elementary but very common mathematical error. This issue is of particular concern… Continue reading Accurate confidence intervals→
Introduction Many researchers wish to compute confidence intervals on measures other than the simple Binomial proportion, p, or difference between two independent proportions, d = p2 – p1. On this blog we have identified the Wilson score interval on p and the repositioned Newcombe-Wilson difference interval on d as suitable for these purposes. For example,… Continue reading An algebra of intervals→
Introduction Now that we are able to plot pdfs for the Newcombe-Wilson difference interval, we can employ the algebraic method of Wallis (2021: 225) to compute the equivalent distribution pdfs for 2 × 2 ϕ. This is a well-known signed measure of association which may be defined as signed 2 × 2 ϕ ≡ (ad… Continue reading Plotting the pairwise ϕ interval distribution→
Introduction In Plotting the Wilson distribution we demonstrated how to plot the Wilson probability density function (pdf) and discussed a number of its attributes. In Confidence intervals and replication intervals, we distinguished between a confidence interval and a resampling or ‘replication’ interval. In this post, we set ourselves the challenge of visualising the pdf for… Continue reading Plotting the Wilson replication distribution→
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