Review about the Permutation Approach in Hypothesis Testing

Bonnini, Stefano; Assegie, Getnet Melak; Trzcinska, Kamila

doi:10.3390/math12172617

Cited by 3 publications

References 129 publications

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Neuronal Number and Somal Volume in Calbindin-Expressing Neurons of the Marmoset Dorsal Lateral Geniculate Nucleus are Preserved During Aging

Santana,

da Silva,

Silva

et al. 2024

Preprint

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Neuronal Number and Somal Volume in Calbindin-Expressing Neurons of the Marmoset Dorsal Lateral Geniculate Nucleus are Preserved During Aging

Santana,

da Silva,

Silva

et al. 2024

Preprint

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Nonparametric Test for Logistic Regression with Application to Italian Enterprises’ Propensity for Innovation

Bonnini,

Borghesi

2024

Mathematics

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In this work, a nonparametric method is proposed to jointly test the significance of the regression coefficient estimates in a logistic regression model and identify which explanatory variables are effective in predicting the binary response. The motivating example is related to the factors affecting the propensity of Italian Small Medium Enterprises (SMEs) to innovate. The explanatory variables of the model represent firms’ characteristics, such as size and age, and the possible effect of the sector of economic activity is taken into account by including a set of binary variables as control factors. The dependent variable indicates whether a company, in the period under study, introduced at least one product or process innovation. Therefore, it is also dichotomous, and the logistic regression model is appropriate for representing the relationship between explanatory variables and dependent variables. Specifically, the logit transformation of the firm’s propensity to innovate, i.e., the probability that a company randomly chosen from the population of Italian SMEs has introduced an innovation or, equivalently, the proportion of innovative companies among the Italian SMEs, is expressed as a linear function of the predictors (explanatory and control variables). The proposed test is based on the permutation approach and satisfies important statistical properties, proved in a simulation study. The test is more flexible and robust than the classic parametric approach, and is preferable to typical stepwise regression procedures for the selection of a parsimonious and effective model.

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Individual Importance Classification of Urban Stormwater Channel Networks: A Novel Approach Based on Permutation and Algebraic Graph Theory

Zhong,

Wan,

et al. 2024

Water

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The frequency and intensity of urban flooding continuously increase due to the dual influences of climate change and urbanization. Conducting individual importance classification of urban stormwater channel networks (USCNs) is of significant importance for alleviating urban flooding and facilitating targeted stormwater management implementation. However, a quantitative classification method is lacking for trellis networks, which are a common type of USCN. This study proposed a novel importance classification methodology for channel segments in most types of USCNs, especially suitable for trellis networks, based on permutation and algebraic graph theory. The concept of permutation was integrated into the methodology to measure the importance of each channel segment to the USCN. Algebraic graph theory was employed to quantify the topological structure and hydraulic characteristics of the USCN. To verify the applicability and rationality of the proposed methodology, a real-world city with trellis USCNs in China (i.e., Huai’an) was selected as the study area. Seventy channel segments in the USCN were efficiently classified into three categories based on individual importance. This study provided a decision-support methodology from the perspective of individual importance classification in the USCN and offered valuable reference for urban flooding managers.

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Review about the Permutation Approach in Hypothesis Testing

Cited by 3 publications

References 129 publications

Neuronal Number and Somal Volume in Calbindin-Expressing Neurons of the Marmoset Dorsal Lateral Geniculate Nucleus are Preserved During Aging

Neuronal Number and Somal Volume in Calbindin-Expressing Neurons of the Marmoset Dorsal Lateral Geniculate Nucleus are Preserved During Aging

Nonparametric Test for Logistic Regression with Application to Italian Enterprises’ Propensity for Innovation

Individual Importance Classification of Urban Stormwater Channel Networks: A Novel Approach Based on Permutation and Algebraic Graph Theory

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