The Mann-Whitney Test for Interval-Valued Data

Grzegorzewski, Przemysław; Śpiewak, Martyna

doi:10.1007/978-3-319-66824-6_17

Cited by 5 publications

(6 citation statements)

References 7 publications

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“…It was beneficial to use this approach because of the characteristics of the sample and its small size, when having to compare more than three groups [107][108][109]. For similar reasons, for comparing two independent groups, the U Mann-Whitney test is recommended [110]. Therefore, it was implemented to compare the assessments of interviewees of different genders, public vs. private stakeholders, and business vs. nonbusiness stakeholders.…”

Section: Phase Iii-data Analysismentioning

confidence: 99%

Stakeholders’ Analysis of Environmental Sustainability in Urban Logistics: A Case Study of Tricity, Poland

Rześny-Cieplińska

Szmelter-Jarosz

2021

Energies

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Environmental sustainability, defined as the responsibility to protect the global ecosystem in a holistic way, has become an integral factor of city strategies. Designing and implementing environment-friendly solutions to make the standard of living in cities better is indispensable for present and future generations. This article’s main objective is to identify the most environmentally friendly urban logistics measures from the perspective of urban transport system stakeholders. A multi-method approach was implemented to achieve the article’s main findings. Firstly, the literature review provided the basics for designing the research framework. Then, a three-layer methodological approach was used: The first layer included designing and carrying out the case study approach; the second layer comprised a Delphi study involving interviews with urban logistics stakeholders; and the third layer included analyzing the voices of Delphi interviewees to assess which urban logistics measures are the most important for them. The study provides an initial insight into the opinions of stakeholders for a general audience, but at the same time, also presents specific, detailed views of Tricity urban space users and decision-makers. Significant differences in opinions were observed and confirmed in the interviewed group. This study can contribute to the scientific discussion about the stakeholders’ analysis of urban logistics goals.

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Section: Phase Iii-data Analysismentioning

confidence: 99%

Stakeholders’ Analysis of Environmental Sustainability in Urban Logistics: A Case Study of Tricity, Poland

Rześny-Cieplińska

Szmelter-Jarosz

2021

Energies

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“…Thus, by the appropriate transformation of the original interval-valued observations into the one-dimensional problem the test statistic (30) behaves as the test statistic of the classical sign test, so the rejection criteria remain as it is described in Section 2.1.…”

Section: The Sign Test For Random Intervals 521 | One-sample Casementioning

confidence: 99%

“…Indeed, testing assumptions on distributions may cause difficulties even in the case of crisp data, and known goodness‐of‐fit techniques for interval‐valued data are not very powerful. This is also the reason that nonparametric tests seem to be attractive to the authors who generalize classical statistical tools for interval‐valued data …”

Section: Introductionmentioning

confidence: 99%

“…3,4 Interval-valued data that appear in different contexts drew the attention of many researchers. Various problems concerning interval-valued data in regression analysis, [5][6][7][8][9] time series, 10 principal component analysis, 11,12 correlation analysis, 13,14 classification, 9,[15][16][17][18][19][20][21] clustering, 22,23 analysis of variance, 24 and hypothesis testing [25][26][27][28][29][30][31][32][33] have been deeply studied in the literature.…”

Section: Introductionmentioning

confidence: 99%

“…This is also the reason that nonparametric tests seem to be attractive to the authors who generalize classical statistical tools for interval-valued data. [29][30][31] Of course, one may apply some other tools for modeling uncertainty in data analysis and statistical inference, like fuzzy sets (a generalization of some nonparametric tests for fuzzy data was proposed by Denoeux et al 34 or Grzegorzewski 35,36 ). However, it seems that interval-valued data constitute actually a noteworthy construction which allows grasping uncertainty in a sound mathematical model which is flexible enough and effective at the same time.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The sign test and the signed‐rank test for interval‐valued data

Grzegorzewski

Śpiewak

2019

Int J Intell Syst

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Two versions of the generalized sign test and the signed‐rank test for interval‐valued data (both for one‐sample and paired two‐sample problem) are proposed. These two versions correspond to different possible views on the interval outcomes of the experiment—either the epistemic or the ontic one. Each view yields its own approach to data analysis which results in different test construction and the way of carrying on the statistical inference.

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Two-Sample Median Test for Interval-Valued Data

Grzegorzewski

Śpiewak

2020

Advances in Intelligent Systems and Computing

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The Mann-Whitney Test for Interval-Valued Data

Cited by 5 publications

References 7 publications

Stakeholders’ Analysis of Environmental Sustainability in Urban Logistics: A Case Study of Tricity, Poland

Stakeholders’ Analysis of Environmental Sustainability in Urban Logistics: A Case Study of Tricity, Poland

The sign test and the signed‐rank test for interval‐valued data

Two-Sample Median Test for Interval-Valued Data

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