SPEARMAN'S FOOTRULE - AN ALTERNATIVE RANK STATISTIC

Kleinecke, D. C.; Ury, H. K.

SPEARMAN'S FOOTRULE - AN ALTERNATIVE RANK STATISTIC

Active / Technical Report | Accession Number: AD0403502 | Open PDF

Abstract:

A known but neglected rank statistic - Spearmans Footrule - is examined. Formulas are given for its mean and variance and the covariance with better known rank statistics. A very thorough numerical description is given, including the exact sampling distributions for up to ten ranks when all permutations are equally likely and approximate results up to twenty. The statistic appears to be asymptotically normal but this has not been proven. There are numerous applications for this statistic in non-parametric testing, but they are not discussed in this report.

Author(s):

Kleinecke, D. C. ; Ury, H. K.

Author Organization(s):

CALIFORNIA UNIV BERKELEY INST OF ENGINEERING RESEARCH

Supplementary Note:

DOI: 10.21236/AD0403502

Annotation:

Examination of Spearman's Footrule, an alternative rank statistic

Pagination:

0016

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:

Approved For Public Release, Document Partially Illegible

Distribution Statement:

Approved For Public Release; Distribution Is Unlimited. Document Partially Illegible.

RECORD

Collection: TR

Identifying Numbers

Report Number(s):

CDRP182, 114

Contract/Grant Number(s):

CD-SR-58-40

Monitor Series:

OCD

Subject Terms

Communities of Interest:

No COI(s) Identified

Descriptor(s):

*STATISTICAL DISTRIBUTIONS, *STATISTICAL PROCESSES, *RANK ORDER STATISTICS, STOCHASTIC PROCESSES, STATISTICAL FUNCTIONS, MONTE CARLO METHOD, SAMPLING

Field(s)/Group(s):

Statistics and Probability

Keyword(s):

SPEARMANS FOOTRULE

Report Date:

1962 Nov 01