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A Comparative Study between Ridit and Modified Ridit Analysis

Received: 2 November 2013     Published: 10 December 2013
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Abstract

This paper compares ridit analysis with modified ridit analysis. The comparison was then illustrated with an example. It was observed from the example at least, that when the sample sizes of the two samples being compared are too disparate, a more reliable conclusion using the Bross ridit analysis is likely to be reached only when the group with the larger sample size is used as the reference group. Otherwise Bross ridit analysis would lead to conflicting conclusions, depending on which group is used as the reference group. Modified ridit analysis treats the groups being studied as samples drawn from some larger populations in which the variances or standard deviations as well as the results obtained are the same no matter which sample is used as the reference group. The modified procedure is therefore preferable to ridit analysis especially in cases where the groups being compared are samples from some populations.

Published in American Journal of Theoretical and Applied Statistics (Volume 2, Issue 6)
DOI 10.11648/j.ajtas.20130206.23
Page(s) 248-254
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2013. Published by Science Publishing Group

Keywords

Samples Estimates, Populations, Bross Mean Ridit, Chi-Square, Significance

References
[1] Bross, DJ. (1958) How to Use Ridit Analysis. Biometrics 14 Pgs18-38.
[2] Mann, HB. and Whitney, DR. (1947) On a Test of whether one of two random variables is stochastically larger than the other. The Annals of Mathematical Statistics 18(1):50-60
[3] Conover, WJ. (1973) Rank Tests for One Sample, Two Samples and K Samples Without the Assumptions of a Continuous Distribution Function. Annals of Statistics 1. Pgs 1105-1125
[4] Oyeka, ICA. (1992) A Modified Ridit Analysis. Journal of Nigerian Statistical Association (JNSA) Vol8, No 1 Pgs 45-69
[5] Mieke, PW. Jnr; Long, MA.; Berry, KJ.; and Johnson, JE.(2009) g-Treatment ridit analyses:Resampling Permutation methods Statistical Methodology, Volume 6, Issue3, May 2009, Pgs 223-229.
[6] Pouplard, N; Quannari, EM.; and Simon, SC.(1997)Use of ridits to analyse Categorical data in preference studies .Food Quality and Preference Volume 8,Issues 5-6,September-November 1997, Pgs 419-422 Third Sensometrics Meeting. Doi: 10.1016/S0950-3293(97)00020-7
[7] Rao, CR. and Caliguin, MP. (1993) Analysis of ordered Categorical Data through appropriate Scaling. Handbook of Statistics Volume 9, 1993, Pgs 521-533. Computational Statistics. Doi: 10.1016/S0169-7161(05)80139-7
[8] Hajek, J. (1969) Nonparametric Statistics. Holden-Day, San Francisco.
Cite This Article
  • APA Style

    Ebuh Godday Uwawunkonye, Oyeka Ikewelugo Cyprian Anaene. (2013). A Comparative Study between Ridit and Modified Ridit Analysis. American Journal of Theoretical and Applied Statistics, 2(6), 248-254. https://doi.org/10.11648/j.ajtas.20130206.23

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    ACS Style

    Ebuh Godday Uwawunkonye; Oyeka Ikewelugo Cyprian Anaene. A Comparative Study between Ridit and Modified Ridit Analysis. Am. J. Theor. Appl. Stat. 2013, 2(6), 248-254. doi: 10.11648/j.ajtas.20130206.23

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    AMA Style

    Ebuh Godday Uwawunkonye, Oyeka Ikewelugo Cyprian Anaene. A Comparative Study between Ridit and Modified Ridit Analysis. Am J Theor Appl Stat. 2013;2(6):248-254. doi: 10.11648/j.ajtas.20130206.23

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  • @article{10.11648/j.ajtas.20130206.23,
      author = {Ebuh Godday Uwawunkonye and Oyeka Ikewelugo Cyprian Anaene},
      title = {A Comparative Study between Ridit and Modified Ridit Analysis},
      journal = {American Journal of Theoretical and Applied Statistics},
      volume = {2},
      number = {6},
      pages = {248-254},
      doi = {10.11648/j.ajtas.20130206.23},
      url = {https://doi.org/10.11648/j.ajtas.20130206.23},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20130206.23},
      abstract = {This paper compares ridit analysis with modified ridit analysis. The comparison was then illustrated with an example. It was observed from the example at least, that when the sample sizes of the two samples being compared are too disparate, a more reliable conclusion using the Bross ridit analysis is likely to be reached only when the group with the larger sample size is used as the reference group. Otherwise Bross ridit analysis would lead to conflicting conclusions, depending on which group is used as the reference group. Modified ridit analysis treats the groups being studied as samples drawn from some larger populations in which the variances or standard deviations as well as the results obtained are the same no matter which sample is used as the reference group. The modified procedure is therefore preferable to ridit analysis especially in cases where the groups being compared are samples from some populations.},
     year = {2013}
    }
    

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    AB  - This paper compares ridit analysis with modified ridit analysis. The comparison was then illustrated with an example. It was observed from the example at least, that when the sample sizes of the two samples being compared are too disparate, a more reliable conclusion using the Bross ridit analysis is likely to be reached only when the group with the larger sample size is used as the reference group. Otherwise Bross ridit analysis would lead to conflicting conclusions, depending on which group is used as the reference group. Modified ridit analysis treats the groups being studied as samples drawn from some larger populations in which the variances or standard deviations as well as the results obtained are the same no matter which sample is used as the reference group. The modified procedure is therefore preferable to ridit analysis especially in cases where the groups being compared are samples from some populations.
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Author Information
  • Department of Statistics, Faculty of Physical Sciences, Nnamdi Azikiwe University, Nigeria

  • Department of Statistics, Faculty of Physical Sciences, Nnamdi Azikiwe University, Nigeria

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