Experimental Designs and Applications of Statistical Quality Control, Quality Assurance, and Statistical Modelling

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Probability and Statistics".

Deadline for manuscript submissions: closed (31 October 2022) | Viewed by 2434

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School of Science, Department of Mathematical Sciences, RMIT University, Melbourne, VIC 3000, Australia
Interests: statistical experimental designs; saturated and supersaturated designs; weighing designs; latin hypercube designs; biostatistics; data analysis; combinatorial designs; sequences with zero autocorrelation; information and coding theory; cryptography
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Special Issue Information

Dear Colleagues,

Given their key position in the process control industry, process monitoring techniques have been extensively investigated by industrial practitioners and academic control researchers. Experimental designs and statistical process control is one of the most popular data-based methods for process monitoring and is widely used in various industrial areas. Effective routines for process monitoring can help operators to run industrial processes efficiently at the same time as maintaining high product quality. Quality control and improvement is more than an engineering concern. Quality has become a major business strategy for increasing productivity and gaining competitive advantage. Statistical quality control is on the basis of the quality control chart, the use of mathematical statistics methods to make quality control quantitative, and scientific, effective prevention and control of process quality. Its main goal is to ensure that the characteristic value of product quality produced by all processes is equal to or close to the expected value as long as possible and to improve the process ability of the production process. Its main characteristic is to fully embody the process prevention principle of modern control theory. Statistical quality control refers to the use of statistical techniques for quality control. These techniques include the application of design of experiments, frequency distributions, major trends and discrete measurements, control charts, regression analysis, and significance testing.

Some of the related subjects that deserve to be studied more in depth are as follows:

  • Sampling inspection;
  • Multivariate statistical analysis;
  • Theory of point estimation;
  • Design of experiments;
  • Control chart;
  • Probability distribution;
  • Hugh Hart control chart;
  • Significance test;
  • Asymptotic statistics;
  • Testing statistical hypotheses;
  • Statistical decision theory;
  • Bayesian analysis.

Prof. Dr. Stelios D. Georgiou
Guest Editor

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Keywords

  • Statistical experimental designs
  • Optimal designs
  • Factorial designs
  • Orthogonal arrays
  • Saturated and supersaturated designs
  • Weighing designs
  • Latin hypercube designs
  • Biostatistics
  • Data analysis
  • Combinatorial designs
  • Response surface methodology
  • Testing statistical hypotheses
  • Statistical decision theory
  • Bayesian analysis

Published Papers (2 papers)

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Research

14 pages, 331 KiB  
Article
Optimal Designs for Proportional Interference Models with Different Guarding Strategies
by Futao Zhang and Xiangshun Kong
Mathematics 2023, 11(2), 443; https://0-doi-org.brum.beds.ac.uk/10.3390/math11020443 - 13 Jan 2023
Cited by 1 | Viewed by 856
Abstract
Interference models are commonly used in agriculture, industry, and other related fields. Optimal designs for these models are important topics in block designs. In this work, we consider both direct and total effects under both guarded and unguarded proportional interference models. Some general [...] Read more.
Interference models are commonly used in agriculture, industry, and other related fields. Optimal designs for these models are important topics in block designs. In this work, we consider both direct and total effects under both guarded and unguarded proportional interference models. Some general equivalence theorems are established to characterize such efficient designs. For guarded models, we generate optimal noncircular designs for estimating both direct and total effects, respectively. Particularly, we remove the traditional circular assumption for guarded models and introduce noncircular designs which have less restriction and, more importantly, perform higher efficiency than existing circular designs. For unguarded models, we also give the construction of some optimal designs under the proportional interference model. Full article
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15 pages, 1386 KiB  
Article
A Novel Approach of Fuzzy Control Chart with Fuzzy Process Capability Indices Using Alpha Cut Triangular Fuzzy Number
by Mohammad Ahmad and Weihu Cheng
Mathematics 2022, 10(19), 3572; https://0-doi-org.brum.beds.ac.uk/10.3390/math10193572 - 30 Sep 2022
Cited by 6 | Viewed by 1107
Abstract
Statistical Quality Control is a valuable strategy that applies to the statistical technique for monitoring a manufacturing system under particular situations. On the other hand, the fuzzy set theory is an ideal instrument to cope with an unclear situation. The existing studies are [...] Read more.
Statistical Quality Control is a valuable strategy that applies to the statistical technique for monitoring a manufacturing system under particular situations. On the other hand, the fuzzy set theory is an ideal instrument to cope with an unclear situation. The existing studies are restricted, and there is still mystery behind the unclear data. This paper deals with technique: namely, the fuzzy control chart based on fuzzy process capability indices (FCPI) using triangular fuzzy numbers (TFNs). Alpha cut theory is applied in statistical quality control for fuzzy process control industrial application. This is a five-phase study that deals with the control chart using capability indices. The numerical example is also performed using the proposed technique. This paper would help to better assess/understand the manufacturing system data and would explore the application of the fuzzy control techniques. Full article
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