Test for conditional independence with application to conditional screening

Zhou, Yeqing; Liu, Jing-Yuan; Zhu, Liping

doi:10.1016/j.jmva.2019.104557

Cited by 13 publications

(5 citation statements)

References 26 publications

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“…The design of sheet piling can be carried out with the use of precise methods taking into account the adopted model of the ground substrate, using MES modelling and appropriate computer programs [8,9]. It is also possible to use analytical methods known from general mechanics solutions depending on the adopted static diagram or approximate graphic and analytical methods such as Blum's method [10,11]. In these methods, the starting point for the calculations is to determine the resultant graph of active and passive earth pressure as the basic load of the wall structure (this graph is used to load a wall with a given static diagram).…”

Section: Analysis Of the Calculation Methods For Sheet Pilingmentioning

confidence: 99%

Comparison of Calculation Methods for Sheet Piling

Kosmala-Kot¹,

Selejdak²

2021

Zeszyty Naukowe Politechniki Częstochowskiej. Budownictwo

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Basic methods for calculating sheet piling were presented in the paper. The Blum's graphical and analytical-graphical methods were characterized for a sheet pile that is single anchored at the top and freely supported at the bottom. Methods for determining the sheet pile length, sinkage into the soil and the selection of the sheet pile profile were shown. The method for determining the reaction value on the sheet pile support was also presented. The calculated design parameters for both methods were compared in a table. On the basis of the above calculations, it was determined that the two calculation methods lead to similar cross-sections of sheet piling.

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Section: Analysis Of the Calculation Methods For Sheet Pilingmentioning

confidence: 99%

Comparison of Calculation Methods for Sheet Piling

Kosmala-Kot¹,

Selejdak²

2021

Zeszyty Naukowe Politechniki Częstochowskiej. Budownictwo

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“…Based on the index ρ, we further proposed tests of conditional independence. We would like to further note a recent work proposed by Zhou et al (2020), who suggested to simply test whether U and V are independent. However, this is not fully equivalent to the conditional independence test and it is unclear what kind of power loss one might have.…”

Section: Introductionmentioning

confidence: 93%

A Distribution Free Conditional Independence Test with Applications to Causal Discovery

Cai¹,

Li²,

Yao-wu³

2021

Preprint

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This paper is concerned with test of the conditional independence. We first establish an equivalence between the conditional independence and the mutual independence. Based on the equivalence, we propose an index to measure the conditional dependence by quantifying the mutual dependence among the transformed variables. The proposed index has several appealing properties. (a) It is distribution free since the limiting null distribution of the proposed index does not depend on the population distributions of the data. Hence the critical values can be tabulated by simulations. (b) The proposed index ranges from zero to one, and equals zero if and only if the conditional independence holds. Thus, it has nontrivial power under the alternative hypothesis. (c) It is robust to outliers and heavytailed data since it is invariant to conditional strictly monotone transformations. (d) It has low computational cost since it incorporates a simple closed-form expression and can be implemented in quadratic time. (e) It is insensitive to tuning parameters involved in the calculation of the proposed index. (f) The new index is applicable for multivariate random vectors as well as for discrete data. All these properties enable us to use the new index as statistical inference tools for various data. The effectiveness of the method is illustrated through extensive simulations and a real application on causal discovery.

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“…To test this hypothesis, using the 2023 Wimbledon-1301 tournament as a reference, this paper conducted a Run Test on the Momentum_p1 data collected by Carlos Alcaraz. Since the data do not obey binary classification, this paper uses the median as the cutting point and processes the raw data to divide it into two categories [9] . For data with a large sample size, the test statistic Z follows an approximate normal distribution, and its calculation formula is as follows: (7) Where R represents the number of runs, represents the expected value of the number of runs, and represents the standard deviation of the number of runs [10] , they are calculated as follows:…”

Section: Run Testmentioning

confidence: 99%

Quantification of momentum in tennis matches and its impact: a study based on AHP-EWM method and data analysis

2024

HSET

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Tennis is a globally popular sport that tests players' abilities in all aspects, including mental quality. In tennis, momentum is a psychological phenomenon that reflects the strengths and weaknesses of players. It affects players' mentality, performance, and match results. However, there are still some inadequacies and controversies in the current research on momentum, such as its concept, formation mechanism, quantification method, and actual effect. This study deeply analyzes the concept and formation mechanism of momentum in tennis matches and its influence on the result of the match. Through a combination of data analysis and quantitative methods, this study reveals the importance of momentum changes on player performance and match results. Through the application of AHP-EWM, Welch's T-Test, and Run Test, this paper not only quantifies momentum but also confirms the significance and non-randomness of momentum, refuting the traditional views on the randomness of competition performance fluctuation and success rate. The results of this study not only provide a new perspective for understanding the strategy and dynamics of tennis matches, but also provide practical guidance for athletes' training and competition preparation. In addition, the methodology and findings of this study also have reference value for other sports that need to analyze the impact of momentum, opening up a new path for future sports science research.

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Test for conditional independence with application to conditional screening

Cited by 13 publications

References 26 publications

Comparison of Calculation Methods for Sheet Piling

Comparison of Calculation Methods for Sheet Piling

A Distribution Free Conditional Independence Test with Applications to Causal Discovery

Quantification of momentum in tennis matches and its impact: a study based on AHP-EWM method and data analysis

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