Rothman–Woodroofe symmetry test statistic revisited

Gaigall, Daniel

doi:10.1016/j.csda.2019.106837

Cited by 4 publications

(2 citation statements)

References 26 publications

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“…The interpretation of the above notation may suggest a certain symmetry concerning the mean or median. Therefore, a symmetry test of the distribution with Rothman-Woodroofe statistics was performed to validate this interpretation [33].…”

Section: Statistical Methodology and Data Refiningmentioning

confidence: 99%

Application of New Filling Material Based on Combined Heat and Power Waste for Sewage Treatment in Constructed Wetlands

Malinowski,

Dąbrowski,

Karolinczak

2024

Materials

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The filling of constructed wetlands (CWs) affects the efficiency of sewage treatment and proper operation. Mineral aggregates are most often used as filling materials. Significant environmental burdens from mineral mining operations justify the search for waste fill. This study aimed to determine the possibility of increasing the efficiency of CW by using a Certyd aggregate as a new filling. Certyd is produced in the sintering process of coal ash, a waste from combined heat and power (CHP) plant operation. Comprehensive two-year studies were conducted using two real-scale subsurface vertical flow (SS VF) CWs supplied with domestic sewage. One bed was filled with a Certyd and the other was filled with appropriate fractions of a mineral aggregate. Both beds worked in parallel, and to compare their effectiveness, account seasonality was taken into account. The SS-VF Certyd-filled bed achieved an average efficiency of 88.0% for biological oxygen demand (BOD5), 80.2% for chemical oxygen demand (COD), 80.4% for suspended solids (SSs), 80.2 for ammonia nitrogen (N-NH4), 72.2% for total nitrogen (TN), and 55.3% for total phosphorus (TP), while the gravel-filled bed achieved 84.5%, 77.0%, 86.9%, 74.2%, 69.4%, and 57.8% for the whole research period, respectively. A higher effect of the removed unit load was achieved in the bed filled with Certyd (36.2 g BOD5 m−2 d−1, 50.0 g COD m−2 d−1, 5.88 g SS m−2 d−1, 7.1 g TN m−2 d−1, 7.9 g N-NH4 m−2 d−1, 0.79 g TP m−2 d−1) compared to the gravel-filled bed (34.7 g BOD5 m−2 d−1, 47.0 g COD, 6.35 g SS m−2 d−1, 6.9 g TN m−2 d−1, 7.3 g m−2 d−1 N-NH4, 0.83 g TP m−2 d−1).

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Section: Statistical Methodology and Data Refiningmentioning

confidence: 99%

Application of New Filling Material Based on Combined Heat and Power Waste for Sewage Treatment in Constructed Wetlands

Malinowski,

Dąbrowski,

Karolinczak

2024

Materials

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“…where: c out -output concentration;T -temperature; a, b -linear coefficients; ε -residual dispersion.In order to validate the obtained models, their residuals (on logarithmic scale) were tested against:• Symmetry of distribution test with Rothman-Woodroofe statistics[Gaigall 2020];• Normality of distribution Shapiro-Wilk test [Shapiro, Wilk 1965]; • Breush-Pagan test for heteroskedasticity [Breusch, Pagan 1979]; • Model curves with background scatter plots were further presented.…”

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confidence: 99%

Assessing the Feasibility of Recovering Water from Treated Municipal Wastewater

Dąbrowski,

Bagińska,

Malinowski

2024

J. Ecol. Eng.

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The problem of recovering water from treated wastewater may concern an increasing number of countries, especially those with low water resources. After costly treatment processes, water taken from surface and underground intakes is used and then largely discharged to receivers in the form of treated wastewater. Advanced wastewater treatment methods ensure that the treated wastewater is characterized by very low physical and chemical pollution, sometimes better than the water quality in the receiving basin. The research was conducted under a cooperation agreement between Bialystok University of Technology and Bialystok Waterworks Ltd. The recovery of water from wastewater was one of the topics pursued.This paper analyzes the parameters of treated wastewater from the largest municipal wastewater treatment plant in the Podlaskie Province. The analysis of the treated wastewater composition was based on monitoring studies conducted by the company Bialystok Waterworks Ltd. between 2020 and 2023. The analysis concerned the basic parameters of wastewater, namely the content of organic matter and total suspended solids.This was due to the requirements for the recyclability of treated wastewater. Linear modeling was performed to determine if a sufficiently strong correlation was detected;otherwise output distribution characteristics were provided.In all cases, the output concentrations were far below the class A limits for irrigation in the whole research period.

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On the applicability of several tests to models with not identically distributed random effects

Gaigall

2023

Statistics

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In this document, we present the technical proofs of the results in Section 2, Section 3, Section 4, and Appendix A in the main document. Proofs 1.Proofs of Section 2Proof of Theorem 1. We will apply Theorem 10 with ℓ = 2d and ζ 1,n , . . . , ζ n,n given by the n = n 1 + • • • + n k independent but not necessarily identically distributed R 2d -valued random vectors (X i,j , −X i,j ), j = 1, . . . , n i , i = 1, . . . , k. In the context of Theorem 10, we note that F F n (x, y, x ′ , y ′ ) =

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Rothman–Woodroofe symmetry test statistic revisited

Cited by 4 publications

References 26 publications

Application of New Filling Material Based on Combined Heat and Power Waste for Sewage Treatment in Constructed Wetlands

Application of New Filling Material Based on Combined Heat and Power Waste for Sewage Treatment in Constructed Wetlands

Assessing the Feasibility of Recovering Water from Treated Municipal Wastewater

On the applicability of several tests to models with not identically distributed random effects

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