Further analysis of pneumatic ball gauge calibration data; development of quadratic equations

✍ Scribed by Frank E. Jones; A.Harper Shull

• Book ID: 104047267
• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 222 KB
• Volume: 35
• Category: Article
• ISSN: 0263-2241
• DOI: 10.1016/j.measurement.2004.02.003

✦ Synopsis

In earlier papers it was shown that an apparent pressure dependence of effective area of pneumatic ball gauges could be ascribed to non-constancy of effective area as conventionally defined. The relationship between P , the pressure measured at the gauge and F , the force due to load of weights on the ball, was generally better represented by an equation of the form P ¼ a þ bF derived from linear least squares analysis of calibration data. It is the objective of the present paper to investigate whether the addition of a quadratic term, cF 2 , would improve the agreement of calculated values of P with known calibration values. Calibration data collected for 8-ball gauges were analyzed using analysis of variance (ANOVA) to infer the significance of the quadratic term. For 7 of 8 gauges, a quadratic term significantly improved agreement between calculated and calibration values of P .