JSM 2004 - Toronto

Abstract #300154

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Activity Number: 319
Type: Invited
Date/Time: Wednesday, August 11, 2004 : 10:30 AM to 12:20 PM
Sponsor: Section on Statistical Graphics
Abstract - #300154
Title: Henri's Line
Author(s): Antoine de Falguerolles*+
Companies: Université Paul Sabatier
Address: Laborartoire de Statistique et Probabilités, Toulouse, 31000, France
Keywords: QQ plot ; normal QQ plot
Abstract:

A quantile-quantile plot is a standard tool for comparing two distributions. Boosted by the use of popular statistical software programs, the colloquial expression '"QQ plot" has been recently picked up in the French language. A particular instantiation of the QQ plot is the "normal" QQ plot also known in French in this colloquial form. This language practice, Franglais or Frenglish, masks a surprising oblivion. The idea of an experimental validation of the normal distribution in the form of a QQ plot is ascribed in France to Paul Henri (1848-1907), an artillery captain at that time. His approach was called in textbooks "Henri's method" and the line describing the fitted distribution as "Henri's line" ('droite de Henri'). I will recall the work of Paul Henri and an interesting application of Edmond Lhoste (1880-1948) to the case where the data come from several identified normal distributions with possibly different means and different variances.

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