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R chart, or range chart, is a fundamental tool in statistical process control used to monitor the variability within a process. It complements the X-bar (x̄) chart by focusing on the range of the data, rather than individual values, providing a clear picture of the process dispersion over time.
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Prototype Selection Method Based on the Rivality and Reliability Indexes for the Improvement of the Classification Models and External Predictions.

Journal of chemical information and modeling·2020
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Building Highly Reliable Quantitative Structure-Activity Relationship Classification Models Using the Rivality Index Neighborhood Algorithm with Feature Selection.

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Rivality index neighbourhood algorithm with density and distances weighted schemes for the building of robust QSAR classification models with high reliable applicability domain.

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Updated: Jan 24, 2026

In Silico Modeling Method for Computational Aquatic Toxicology of Endocrine Disruptors: A Software-Based Approach Using QSAR Toolbox
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Building of Robust and Interpretable QSAR Classification Models by Means of the Rivality Index.

Irene Luque Ruiz1, Miguel Ángel Gómez-Nieto1

  • 1Department of Computing and Numerical Analysis , University of Córdoba , Albert Einstein Building, Campus de Rabanales , E-14071 , Córdoba , Spain.

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A new Quantitative Structure-Activity Relationship (QSAR) classification algorithm, RINH, uses a rivality index to predict molecular activity. This robust method enhances prediction reliability and defines the model's applicability domain for regulatory use.

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Area of Science:

  • * Quantitative Structure-Activity Relationship (QSAR) modeling
  • * Cheminformatics and computational toxicology
  • * Machine learning in drug discovery

Background:

  • * QSAR models require unambiguous algorithms, defined applicability domains, and robust validation for regulatory acceptance.
  • * Existing QSAR classification methods may lack sufficient reliability and clear applicability domain assessments.
  • * There is a need for advanced algorithms that provide reliable predictions and robust applicability domain measures.

Purpose of the Study:

  • * To introduce a novel algorithm, RINH (Rivalry Index for Neighbor analysis), for constructing QSAR classification models.
  • * To evaluate the RINH algorithm's performance against established machine learning methods.
  • * To demonstrate the algorithm's capability in assessing prediction reliability and defining the applicability domain.

Main Methods:

  • * Development of the RINH algorithm based on the rivality index, measuring neighbor class distinctions.
  • * Application of RINH to four diverse benchmark QSAR datasets.
  • * Comparative analysis of RINH against 12 different machine learning algorithms.
  • * Validation using 20 additional datasets of varying sizes and balance.

Main Results:

  • * The RINH algorithm generated highly accurate QSAR classification models across diverse datasets.
  • * RINH provided robust measurements of prediction reliability and model applicability domain.
  • * Performance was consistently superior or comparable to 12 other machine learning algorithms.

Conclusions:

  • * The RINH algorithm offers a reliable and robust approach for QSAR classification modeling.
  • * RINH enhances the interpretability and trustworthiness of QSAR models for regulatory applications.
  • * The algorithm effectively addresses the need for clear applicability domain assessment in QSAR studies.