Using The Biorthogonal Wavelet to Address the Problem Heterogeneity of Variance

Thirty-two experimental units were inductive in this study based on a totally randomized design to provide impartial distribution of the treatments. The following analysis discussed the problem of heterogeneity in the variances by means of using biorthogonal wavelets together with the discrete wavelet transform (DWT), which gave a more robust model of the underlying data structure. All the moments that fade off the orthogonal wavelet family have been used in addition to the universal threshold (UT) value and the hard rule of thresholding. Comparative evaluations were performed across multiple performance criteria. The results revealed that the biorthogonal wavelet transform exhibited superior performance in stabilizing variance and improving analytical accuracy, demonstrating its potential as an effective tool for variance heterogeneity correction in experimental data analysis.

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Publication Details

Journal
Statistics Optimization & Information Computing
Published
2026-02-05
DOI
https://doi.org/10.19139/soic-2310-5070-3209
Primary Topic
Spectroscopy and Chemometric Analyses
Type
article
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article

Using The Biorthogonal Wavelet to Address the Problem Heterogeneity of Variance

Wisam Wadullah Saleem
Statistics Optimization & Information Computing
Spectroscopy and Chemometric Analyses
article

Using The Biorthogonal Wavelet to Address the Problem Heterogeneity of Variance

Wisam Wadullah Saleem
article en

Abstract

Thirty-two experimental units were inductive in this study based on a totally randomized design to provide impartial distribution of the treatments. The following analysis discussed the problem of heterogeneity in the variances by means of using biorthogonal wavelets together with the discrete wavelet transform (DWT), which gave a more robust model of the underlying data structure. All the moments that fade off the orthogonal wavelet family have been used in addition to the universal threshold (UT) value and the hard rule of thresholding. Comparative evaluations were performed across multiple performance criteria. The results revealed that the biorthogonal wavelet transform exhibited superior performance in stabilizing variance and improving analytical accuracy, demonstrating its potential as an effective tool for variance heterogeneity correction in experimental data analysis.

Statistics Optimization & Information ComputingVol. 15(4)
University of Mosul (IQ)
Openalex Percentile: Top 12%
Spectroscopy and Chemometric Analyses
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