半连续高维数据的正则化方差检验

IF 1.3 3区生物学 Q4 MATHEMATICAL & COMPUTATIONAL BIOLOGY

Biometrical Journal Pub Date : 2025-04-29 DOI:10.1002/bimj.70054

Elena Sabbioni, Claudio Agostinelli, Alessio Farcomeni

{"title":"半连续高维数据的正则化方差检验","authors":"Elena Sabbioni, Claudio Agostinelli, Alessio Farcomeni","doi":"10.1002/bimj.70054","DOIUrl":null,"url":null,"abstract":"<p>We propose a MANOVA test for semicontinuous data that is applicable also when the dimension exceeds the sample size. The test statistic is obtained as a likelihood ratio, where the numerator and denominator are computed at the maxima of penalized likelihood functions under each hypothesis. Closed form solutions for the regularized estimators allow us to avoid computational overheads. We derive the null distribution using a permutation scheme. The power and level of the resulting test are evaluated in a simulation study. We illustrate the new methodology with two original data analyses, one regarding microRNA expression in human blastocyst cultures, and another regarding alien plant species invasion in the island of Socotra (Yemen).</p>","PeriodicalId":55360,"journal":{"name":"Biometrical Journal","volume":"67 3","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/bimj.70054","citationCount":"0","resultStr":"{\"title\":\"A Regularized MANOVA Test for Semicontinuous High-Dimensional Data\",\"authors\":\"Elena Sabbioni, Claudio Agostinelli, Alessio Farcomeni\",\"doi\":\"10.1002/bimj.70054\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We propose a MANOVA test for semicontinuous data that is applicable also when the dimension exceeds the sample size. The test statistic is obtained as a likelihood ratio, where the numerator and denominator are computed at the maxima of penalized likelihood functions under each hypothesis. Closed form solutions for the regularized estimators allow us to avoid computational overheads. We derive the null distribution using a permutation scheme. The power and level of the resulting test are evaluated in a simulation study. We illustrate the new methodology with two original data analyses, one regarding microRNA expression in human blastocyst cultures, and another regarding alien plant species invasion in the island of Socotra (Yemen).</p>\",\"PeriodicalId\":55360,\"journal\":{\"name\":\"Biometrical Journal\",\"volume\":\"67 3\",\"pages\":\"\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2025-04-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://onlinelibrary.wiley.com/doi/epdf/10.1002/bimj.70054\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Biometrical Journal\",\"FirstCategoryId\":\"99\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1002/bimj.70054\",\"RegionNum\":3,\"RegionCategory\":\"生物学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICAL & COMPUTATIONAL BIOLOGY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Biometrical Journal","FirstCategoryId":"99","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/bimj.70054","RegionNum":3,"RegionCategory":"生物学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICAL & COMPUTATIONAL BIOLOGY","Score":null,"Total":0}

引用次数: 0

摘要

我们建议对半连续数据进行方差分析，当维度超过样本量时也适用。检验统计量以似然比的形式得到，其中分子和分母是在每个假设下惩罚似然函数的最大值处计算的。正则估计的闭形式解允许我们避免计算开销。利用置换格式导出了零分布。在模拟研究中评估了结果测试的功率和水平。我们用两个原始数据分析来说明新方法，一个是关于人类囊胚培养物中的microRNA表达，另一个是关于索科特拉岛（也门）的外来植物物种入侵。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

A Regularized MANOVA Test for Semicontinuous High-Dimensional Data

We propose a MANOVA test for semicontinuous data that is applicable also when the dimension exceeds the sample size. The test statistic is obtained as a likelihood ratio, where the numerator and denominator are computed at the maxima of penalized likelihood functions under each hypothesis. Closed form solutions for the regularized estimators allow us to avoid computational overheads. We derive the null distribution using a permutation scheme. The power and level of the resulting test are evaluated in a simulation study. We illustrate the new methodology with two original data analyses, one regarding microRNA expression in human blastocyst cultures, and another regarding alien plant species invasion in the island of Socotra (Yemen).

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Biometrical Journal 生物-数学与计算生物学

CiteScore

3.20

自引率

5.90%

发文量

119

审稿时长

6-12 weeks

期刊介绍： Biometrical Journal publishes papers on statistical methods and their applications in life sciences including medicine, environmental sciences and agriculture. Methodological developments should be motivated by an interesting and relevant problem from these areas. Ideally the manuscript should include a description of the problem and a section detailing the application of the new methodology to the problem. Case studies, review articles and letters to the editors are also welcome. Papers containing only extensive mathematical theory are not suitable for publication in Biometrical Journal.