A New Test for Simple Tree Alternative in a 2 x k Table

Chakrabarti, P.; Bandyopadhyay, Uttam

doi:10.2991/jsta.2018.17.2.7

Cited by 1 publication

(3 citation statements)

References 26 publications

(22 reference statements)

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“…Step 5: as Q N ǫ[7. 16,6] is less than the critical value of 7.81, the null hypothesis is not rejected.…”

Section: Applicationmentioning

confidence: 89%

“…Step 2: COMPUTED value of the neutrosophic Cochran statistic is Q N ǫ[7. 16,6] Step 3: the critical value required for the Cochran test is 7.81.…”

Section: Applicationmentioning

confidence: 99%

“…Two recommended methods, Q-profile and generalized Q-statistic, utilize the Q-statistic to create these confidence intervals. More applications of Cochran's Q statistic can be seen in [3,6].…”

Section: Introductionmentioning

confidence: 99%

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Cochran’s Q test for analyzing categorical data under uncertainty

Aslam

2023

J Big Data

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Motivation The Cochran test, also known as Cochran’s Q test, is a statistical procedure used to assess the consistency of proportions across multiple groups in a dichotomous dataset Description This paper introduces a modified version of Cochran’s Q test using neutrosophic statistics to handle uncertainty in practical situations. The neutrosophic Cochran’s Q test determines whether the proportions of a specific outcome are consistent across different groups, considering both determinate and indeterminate parts. Results An application of the proposed test is presented using production data to assess the capabilities of machines during different days of the week. The comparative study demonstrates the advantages of the proposed test over the classical Cochran’s Q test, providing insights into the degree of indeterminacy and enhancing decision-making in uncertain scenarios. Conclusion This study introduces a modified version of the Cochran test, utilizing neutrosophic statistics to address uncertainty in practical scenarios. The neutrosophic Cochran’s Q test effectively assesses the consistency of outcome proportions across various groups, accounting for both determinate and indeterminate factors. The application of this novel approach to machine capabilities assessment, based on production data collected over different days of the week, unveils its superiority over the traditional Cochran’s Q test. This superiority is reflected in the insights it offers into the degree of indeterminacy, thereby enhancing decision-making in contexts marked by uncertainty. The simulation study further underscores the critical role of indeterminacy in affecting test statistics and decision outcomes, highlighting the significance of the proposed method in capturing real-world complexities. In essence, the neutrosophic Cochran’s Q test presents a refined and pragmatic tool for addressing the uncertainties inherent in diverse datasets, rendering it invaluable in practical decision-making scenarios.

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“…Step 5: as Q N ǫ[7. 16,6] is less than the critical value of 7.81, the null hypothesis is not rejected.…”

Section: Applicationmentioning

confidence: 89%

“…Step 2: COMPUTED value of the neutrosophic Cochran statistic is Q N ǫ[7. 16,6] Step 3: the critical value required for the Cochran test is 7.81.…”

Section: Applicationmentioning

confidence: 99%