Heat Treatment-Driven Structural and Morphological Transformation Under Non-Parametric Tests on Metal–Ceramic-Sputtered Coatings

The present study analyzes experimental data using qualitative and quantitative methods to identify significant statistical changes. These methods were employed to evaluate the results from the structural characterization of annealed TiWN and TiWC coatings elaborated by magnetron sputtering. The as-...

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Main Authors: Federico Gamboa-Soto, Roberto Bautista-García, Diana I. Llanes-Gil López, Juan E. Bermea, René Tinoco Mendiola, Sion F. Olive-Méndez, Andrés González-Hernández
Format: Article
Language:English
Published: MDPI AG 2025-03-01
Series:Ceramics
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Online Access:https://www.mdpi.com/2571-6131/8/1/25
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author Federico Gamboa-Soto
Roberto Bautista-García
Diana I. Llanes-Gil López
Juan E. Bermea
René Tinoco Mendiola
Sion F. Olive-Méndez
Andrés González-Hernández
author_facet Federico Gamboa-Soto
Roberto Bautista-García
Diana I. Llanes-Gil López
Juan E. Bermea
René Tinoco Mendiola
Sion F. Olive-Méndez
Andrés González-Hernández
author_sort Federico Gamboa-Soto
collection DOAJ
description The present study analyzes experimental data using qualitative and quantitative methods to identify significant statistical changes. These methods were employed to evaluate the results from the structural characterization of annealed TiWN and TiWC coatings elaborated by magnetron sputtering. The as-grown coatings were thermally treated at 500 °C in a furnace under an Ar atmosphere. Structural characterization was performed by X-ray diffraction and optical and electronic microscopy. The chemical composition was determined by energy dispersive X-ray spectroscopy. The data were analyzed using the Kruskal–Wallis (K-W) and Spearman correlation tests as non-parametric methods, employing free statistical software. The response variable—the crystallite size calculated through the Scherrer formula—is statistically tested. The data of the crystallite size of each sample were forecasted using the simple moving average (SMA) method to increase the number of data points of each sample to 12. The crystallite size of each sample remained unchanged before and after thermal treatment. However, microscopy analyses revealed strong surface cracking. The average crystallite size before and after the thermal treatment was analyzed by the K-W correlation, revealing significant changes considering a reliability level of 95% and a significance error of 5%. The analysis revealed a strong correlation between experimental data and statistical treatment results.
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spelling doaj-art-3c1f34afdbdb486a990c61abdb4cefdf2025-08-20T02:16:22ZengMDPI AGCeramics2571-61312025-03-01812510.3390/ceramics8010025Heat Treatment-Driven Structural and Morphological Transformation Under Non-Parametric Tests on Metal–Ceramic-Sputtered CoatingsFederico Gamboa-Soto0Roberto Bautista-García1Diana I. Llanes-Gil López2Juan E. Bermea3René Tinoco Mendiola4Sion F. Olive-Méndez5Andrés González-Hernández6GI Research Group, Engineering Faculty, Autonomous University of Tamaulipas, Tampico 87000, MexicoIMA Research Group, Engineering Faculty, Autonomous University of Tamaulipas, Tampico 87000, MexicoTecnológico Nacional de México, Instituto Tecnológico de Altamira, Altamira 89602, MexicoGI Research Group, Engineering Faculty, Autonomous University of Tamaulipas, Tampico 87000, MexicoGI Research Group, Engineering Faculty, Autonomous University of Tamaulipas, Tampico 87000, MexicoCentro de Investigación en Materiales Avanzados, S.C. (CIMAV), Miguel de Cervantes 120, Chihuahua 31136, MexicoIMA Research Group, Engineering Faculty, Autonomous University of Tamaulipas, Tampico 87000, MexicoThe present study analyzes experimental data using qualitative and quantitative methods to identify significant statistical changes. These methods were employed to evaluate the results from the structural characterization of annealed TiWN and TiWC coatings elaborated by magnetron sputtering. The as-grown coatings were thermally treated at 500 °C in a furnace under an Ar atmosphere. Structural characterization was performed by X-ray diffraction and optical and electronic microscopy. The chemical composition was determined by energy dispersive X-ray spectroscopy. The data were analyzed using the Kruskal–Wallis (K-W) and Spearman correlation tests as non-parametric methods, employing free statistical software. The response variable—the crystallite size calculated through the Scherrer formula—is statistically tested. The data of the crystallite size of each sample were forecasted using the simple moving average (SMA) method to increase the number of data points of each sample to 12. The crystallite size of each sample remained unchanged before and after thermal treatment. However, microscopy analyses revealed strong surface cracking. The average crystallite size before and after the thermal treatment was analyzed by the K-W correlation, revealing significant changes considering a reliability level of 95% and a significance error of 5%. The analysis revealed a strong correlation between experimental data and statistical treatment results.https://www.mdpi.com/2571-6131/8/1/25significance changecoatingtreatmentstatistical non-parametric
spellingShingle Federico Gamboa-Soto
Roberto Bautista-García
Diana I. Llanes-Gil López
Juan E. Bermea
René Tinoco Mendiola
Sion F. Olive-Méndez
Andrés González-Hernández
Heat Treatment-Driven Structural and Morphological Transformation Under Non-Parametric Tests on Metal–Ceramic-Sputtered Coatings
Ceramics
significance change
coating
treatment
statistical non-parametric
title Heat Treatment-Driven Structural and Morphological Transformation Under Non-Parametric Tests on Metal–Ceramic-Sputtered Coatings
title_full Heat Treatment-Driven Structural and Morphological Transformation Under Non-Parametric Tests on Metal–Ceramic-Sputtered Coatings
title_fullStr Heat Treatment-Driven Structural and Morphological Transformation Under Non-Parametric Tests on Metal–Ceramic-Sputtered Coatings
title_full_unstemmed Heat Treatment-Driven Structural and Morphological Transformation Under Non-Parametric Tests on Metal–Ceramic-Sputtered Coatings
title_short Heat Treatment-Driven Structural and Morphological Transformation Under Non-Parametric Tests on Metal–Ceramic-Sputtered Coatings
title_sort heat treatment driven structural and morphological transformation under non parametric tests on metal ceramic sputtered coatings
topic significance change
coating
treatment
statistical non-parametric
url https://www.mdpi.com/2571-6131/8/1/25
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