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Version 2

Python Script for Simulating, Analyzing, and Evaluating Statistical Mirroring-Based Ordinalysis and Other Estimators

Published:9 May 2025|Version 2|DOI:10.17632/zdhy83cv4p.2
Contributor:Kabir Bindawa Abdullahi

Description

This presentation involves simulation and data generation processes, data analysis, and evaluation of classical and proposed methods of ordinal data analysis. All the parameters and metrics used are based on the method methodology presented in the article titled "Statistical Mirroring-Based Ordinalysis: A Sensitive, Robust, Efficient, and Ordinality-Preserving Method for Analyzing Ordinal Assessment Data" authored by Kabir Bindawa Abdullahi in 2024. For further details, you can follow the paper's publication submitted to MethodsX Elsevier Publishing. The validation process of ordinal data analysis methods (estimators) has the following specifications: • Simulation process: Monte Carlo simulation. • Data generation distributions: categorical, normal and multivariate model distributions. • Data analysis: - Classical estimators: sum, average and median ordinal score. - Proposed estimators: Kabirian coefficient of proximity, probability of proximity, probability of deviation. • Evaluation metrics: - Overall estimates average. - Overall estimates median. - Efficiency (by statistical absolute meanic deviation method). - Sensitivity (by entropy method). - Normality, Mann-Whitney-U test and others.

Institutions

Institutions

Umaru Musa Yar'Adua University

Categories

Statistics, Data Analysis, Monte Carlo Simulation, Categorical Data Analysis, Accuracy Analysis, Methods Evaluation

Licence

Creative Commons Attribution 4.0 International

Version 3

Python Script for Simulating, Analyzing, and Evaluating Statistical Mirroring-Based Ordinalysis and Other Estimators

Published:5 June 2025|Version 3|DOI:10.17632/zdhy83cv4p.3
Contributor:Kabir Bindawa Abdullahi

Description

This presentation involves simulation and data generation processes, data analysis, and evaluation of classical and proposed methods of ordinal data analysis. All the parameters and metrics used are based on the methodology presented in the article titled "Statistical Mirroring-Based Ordinalysis: A Sensitive, Robust, Efficient, and Ordinality-Preserving Descriptive Method for Analyzing Ordinal Assessment Data," authored by Kabir Bindawa Abdullahi in 2024. For further details, you can follow the paper's publication submitted to MethodsX Elsevier Publishing. The validation process of ordinal data analysis methods (estimators) has the following specifications: • Simulation process: Monte Carlo simulation. • Data generation distributions: categorical, normal, and multivariate model distributions. • Data analysis: - Classical estimators: sum, average, and median ordinal score. - Proposed estimators: Kabirian coefficient of proximity, probability of proximity, probability of deviation. • Evaluation metrics: - Overall estimates average. - Overall estimates median. - Efficiency (by statistical absolute meanic deviation method). - Sensitivity (by entropy method). - Normality, Mann-Whitney-U test, and others.

Institutions

Institutions

Umaru Musa Yar'Adua University

Categories

Statistics, Data Analysis, Monte Carlo Simulation, Categorical Data Analysis, Accuracy Analysis, Methods Evaluation

Licence

Creative Commons Attribution 4.0 International