Construction of Bivariate F-Control Chart with Application

Authors:  Taha Hussein Ali¹ & Alan Ghafur Rahim² & Dlshad Mahmood Saleh^3
1&2Department of Statistics, College of Administration and Economics, Salahaddin University, Erbil, Iraq
³Paitaxt Private Technical Institute, tvsvevnnad idaahalaSy, Erbil, Iraq

Abstract:  In this paper, construction of bivariate F-Control Chart through three stages (test of bivariate normal distribution, construction of bivariate S-Chart and use the relationship between the distribution of T² and F) corresponding for Shewart T²– Chart for quality control on measurable properties has been suggested. F-Chart is characterized by minimizing general and total variance for the least possible to obtain the best quality control limits. And the installation of the control chart on the data representing the quality properties of yield stress and elongation for steel product from factory (Erbil Steel) depending on the program language MATLAB has been designed and statistical program SPSS has been employed. The paper found the efficiency of the proposed chart and the possibility of using it to control future data (phase-2).

Keywords: Bivariate Average Chart, Quality Control Chart, Hotelling’s T²

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doi: 10.23918/eajse.v4i2p116

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