A Quick Compact Two Sample Test To Duckworth's Specifications

1 February 1959

journal article
research article
Published by Taylor & Francis in Technometrics

Vol. 1 (1) , 31-48
https://doi.org/10.1080/00401706.1959.10489847

Abstract

A simple test for comparing two samples is proposed. If one sample contains the highest value and the other the lowest value of the two samples combined, the total of two counts is taken as the statistic. These counts are of(i) the number of individuals in the one sample above all individuals in the other, and (ii) the number of individuals in the other below all those in the one. 5%, 1% and 0.1% critical values are roughly 7, 10 and 13 respectively. Precise values for pairs of small and moderate sized samples are given, as are asymptotic critical values. Derivations are included.

Keywords

This publication has 8 references indexed in Scilit:

Rapid Statistical Techniques for Operational Research Workers
Journal of the Operational Research Society, 1958
"Average Confidence" Limits for Binomial Probabilities
Revue de l'Institut International de Statistique / Review of the International Statistical Institute, 1953
POWER OF THE MODIFIED t-TEST (u-TEST) BASED ON RANGE
Biometrika, 1950
Significance Levels for a k-Sample Slippage Test
The Annals of Mathematical Statistics, 1950
On the Range-Midrange Test and Some Tests with Bounded Significance Levels
The Annals of Mathematical Statistics, 1949
A $k$-Sample Slippage Test for an Extreme Population
The Annals of Mathematical Statistics, 1948
A Corner Test for Association
The Annals of Mathematical Statistics, 1947
THE USE OF RANGE IN PLACE OF STANDARD DEVIATION IN THE t-TEST
Biometrika, 1947