We propose a MANOVA test for semicontinuous data that is applicable also when the dimensionality exceeds the sample size. The test statistic is obtained as a likelihood ratio, where 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).

翻译：我们提出了一种适用于半连续数据的MANOVA检验方法，该方法在数据维度超过样本量时同样适用。检验统计量通过似然比获得，其中分子和分母分别在各假设下通过惩罚似然函数的最大化计算得出。正则化估计量的闭式解使我们能够避免计算开销。我们采用置换方案推导了零分布。通过模拟研究评估了所得检验的功效和水平。我们通过两项原始数据分析展示了新方法的应用：一项涉及人类囊胚培养中的microRNA表达，另一项涉及也门索科特拉岛的外来植物物种入侵。