Measurement Systems Analysis Chapter Four Measurement Systems Analysis

Measurement accuracy and precision Measurement Systems Analysis

Accuracy and precision Measurements are said to be accurate if their tendency is to center around the actual value of the entity being measured. Measurements are precise if they differ from one another by a small amount. What can you say about the causes relating to each type? Measurement Systems Analysis

Measurement Systems Analysis

Measurement Systems Analysis Measured Value Measured Value = ƒ(TV + Ac + Rep + Rpr) TV = true value Ac = gauge accuracy Rep = gauge repeatability Rpr = gauge reproducibility Measurement Systems Analysis

Measurement system components Equipment or gage Type of gage Attribute: go-no go, vision systems (part present or not present) Variable: calipers, probe, coordinate measurement machines Unit of measurement - usually at least 1/10 of tolerance Operator and operating instructions Measurement Systems Analysis

Measurement Systems Analysis Measurement error Measurement error is considered to be the difference between a value measured and the true value. Measurement Systems Analysis

Types of gage variation Systematic variation Accuracy - improper calibration Reproducibility - different persons using same equipment with different techniques Periodic variation Stability - wear, deterioration, environment Random variation Repeatability (unable to locate part to be measured) Measurement Systems Analysis

Types of measurement variation Accuracy Stability Reproducibility Repeatability Measurement Systems Analysis

Measurement Systems Analysis Accuracy Difference between the true average and the observed average. (True average may be obtained by using a more precise measuring tool) Accuracy or mean bias True average Observed average Measurement Systems Analysis

Measurement Systems Analysis Stability The difference in the average of at least 2 sets of measurements obtained with a gage over time. Stability Time 1 Time 2 Measurement Systems Analysis

Measurement Systems Analysis Reproducibility Variation in average of measurements made by different operators using the same gage measuring the same part. True Average Operator C Operator B Operator A Measurement Systems Analysis

Measurement Systems Analysis Repeatability The random variation in measurements when one operator uses the same gage to measure the same part several times. Observed Average True Average Repeatability Measurement Systems Analysis

How do we improve gage capability? Reproducibility operator training, or more clearly define measurement scale available to the operator Repeatability gage maintenance gage redesign to better fit application Measurement Systems Analysis