The pair chart*

Dana Quade

Statistica Neerlandica, 1973, vol. 27, issue 1, 29-45

Abstract: Summary Given two random samples X1X2XnX and Y1, Y2Yny a “pair chart” is constructed as follows. Draw a rectangle of width nX units and height ny units. Starting from its lower left comer, draw a line one unit to the right (upwards) if the smallest observation in the combined samples is an X(a Y). Then, starting from the end of this line, draw another to the right (upwards) if the second smallest observation is an X (a Y). Continue through the largest observation, thus producing a path to the upper right comer of the rectangle. The paper explains how such a chart can be interpreted as a descriptive tool in comparing the two samples. There are figures which illustrate the typical effects on pair charts of differences between the underlying populations in location, scale, and shape. It is also shown how the pair chart can be used as an aid in calculating and interpreting various nonparametric procedures for the two‐sample problem These include: the one‐ and two‐ sided Kolmogorov‐Smirnov tests; the Wald‐Wolfowitz runs test; the Wilcoxon‐Mann‐Whitney test; Sukhatme's test for scale differences given both medians known; the Ansari‐Bradley scale test; Mood's squared‐rank test, and the Crouse‐Steffens modification of it; and Lehmann's two‐sample test. All of these are illustrated for three Examples, one of which has extensive ties.

Date: 1973
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1111/j.1467-9574.1973.tb00206.x

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:bla:stanee:v:27:y:1973:i:1:p:29-45

Ordering information: This journal article can be ordered from
http://www.blackwell ... bs.asp?ref=0039-0402

Access Statistics for this article

Statistica Neerlandica is currently edited by Miroslav Ristic, Marijtje van Duijn and Nan van Geloven

More articles in Statistica Neerlandica from Netherlands Society for Statistics and Operations Research
Bibliographic data for series maintained by Wiley Content Delivery ().