A Comparative Study between Ridit and Modified Ridit Analysis

Ebuh Godday Uwawunkonye; Oyeka Ikewelugo Cyprian Anaene

doi:doi:10.11648/j.ajtas.20130206.23

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A Comparative Study between Ridit and Modified Ridit Analysis

Ebuh Godday Uwawunkonye, Oyeka Ikewelugo Cyprian Anaene

Published in American Journal of Theoretical and Applied Statistics (Volume 2, Issue 6)

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.

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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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TY  - JOUR
T1  - A Comparative Study between Ridit and Modified Ridit Analysis
AU  - Ebuh Godday Uwawunkonye
AU  - Oyeka Ikewelugo Cyprian Anaene
Y1  - 2013/12/10
PY  - 2013
N1  - https://doi.org/10.11648/j.ajtas.20130206.23
DO  - 10.11648/j.ajtas.20130206.23
T2  - American Journal of Theoretical and Applied Statistics
JF  - American Journal of Theoretical and Applied Statistics
JO  - American Journal of Theoretical and Applied Statistics
SP  - 248
EP  - 254
PB  - Science Publishing Group
SN  - 2326-9006
UR  - https://doi.org/10.11648/j.ajtas.20130206.23
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.
VL  - 2
IS  - 6
ER  -

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Author Information

Ebuh Godday Uwawunkonye

Department of Statistics, Faculty of Physical Sciences, Nnamdi Azikiwe University, Nigeria
Oyeka Ikewelugo Cyprian Anaene

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

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Plain Text BibTeX RIS

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

Copy | Download

@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}
}

Copy | Download

TY  - JOUR
T1  - A Comparative Study between Ridit and Modified Ridit Analysis
AU  - Ebuh Godday Uwawunkonye
AU  - Oyeka Ikewelugo Cyprian Anaene
Y1  - 2013/12/10
PY  - 2013
N1  - https://doi.org/10.11648/j.ajtas.20130206.23
DO  - 10.11648/j.ajtas.20130206.23
T2  - American Journal of Theoretical and Applied Statistics
JF  - American Journal of Theoretical and Applied Statistics
JO  - American Journal of Theoretical and Applied Statistics
SP  - 248
EP  - 254
PB  - Science Publishing Group
SN  - 2326-9006
UR  - https://doi.org/10.11648/j.ajtas.20130206.23
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.
VL  - 2
IS  - 6
ER  -

Copy | Download