Aslam Muhammad, Albassam Mohammed
Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia.
Front Genet. 2022 Apr 19;13:858005. doi: 10.3389/fgene.2022.858005. eCollection 2022.
To test the equality of several independent multinomial distributions, the chi-square test for count data is applied. The existing test can be applied when complete information about the data is available. The complex process, such as DNA count, the existing test under classical statistics may mislead. To overcome the issue, the modification of the chi-square test for multinomial distribution under neutrosophic statistics is presented in this paper. The modified form of the chi-square test statistic under indeterminacy/uncertainty is presented and applied using the DNA count data. From the DNA count data analysis, simulation, and comparative studies, the proposed test is found to be informative, springy, and good as compared with the existing tests.
为检验几个独立多项分布的相等性，应用了计数数据的卡方检验。当可获得数据的完整信息时，可应用现有的检验方法。对于DNA计数等复杂过程，经典统计学下的现有检验可能会产生误导。为克服这一问题，本文提出了基于中智统计的多项分布卡方检验的修正方法。给出了在不确定性下卡方检验统计量的修正形式，并将其应用于DNA计数数据。通过对DNA计数数据分析、模拟和比较研究发现，与现有检验相比，所提出的检验具有信息丰富、灵活且良好的特点。
