The pair chart*

 

作者: Dana Quade,  

 

期刊: Statistica Neerlandica  (WILEY Available online 1973)
卷期: Volume 27, issue 1  

页码: 29-45

 

ISSN:0039-0402

 

年代: 1973

 

DOI:10.1111/j.1467-9574.1973.tb00206.x

 

出版商: Blackwell Publishing Ltd

 

数据来源: WILEY

 

摘要:

SummaryGiven two random samplesX1X2XnXandY1, Y2Ynya “pair chart” is constructed as follows.Draw a rectangle of widthnXunits and heightnyunits. Starting from its lower left comer, draw a line one unit to the right (upwards) if the smallest observation in the combined samples is anX(a Y).Then, starting from the end of this line, draw another to the right (upwards) if the second smallest observation is anX (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‐Smirnovtests; the Wald‐Wolfowitzruns test; the Wilcoxon‐Mann‐Whitneytest; Sukhatme'stest for scale differences given both medians known; the Ansari‐Bradleyscale test; Mood'ssquared‐rank test, and the Crouse‐Steffensmodification of it; and Lehmann'stwo‐sample test. All of these are illustrated for three Examples, one of

 

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