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Keywords:
Algorithm Exact test Permutation test Range Rank test Scale test
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The copyright of a submitted article is only transferred to the publishers if and when the article is accepted for publication. All rights reserved. No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, electrostatic, mechanical, photocopying, recording or otherwise without the prior written permission of the publishers.
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Rank range test for equality of dispersion
Abstract
This paper exploits the computational simplicity of the range of a set of data to formulate a twosample scale test called the Rank Range test. The performance of the test statistic is compared with other tests of scale. The exact distribution of the Rank Range test statistic is generated empirically
through the unconditional permutation approach by actually obtaining all the distinct permutations of the ranks of the variates in an experiment; this exposes the trimodal nature of its probability distribution. The tables of exact critical values are produced.
through the unconditional permutation approach by actually obtaining all the distinct permutations of the ranks of the variates in an experiment; this exposes the trimodal nature of its probability distribution. The tables of exact critical values are produced.
