![]() Normality Test of DataMost of the statistical tools, except for non‐parametric test, require that the data distributenormally. Correlation Linear Regression Analysisīasic Information about the DataOpen MINITAB File “MEASUREMENT SYSTEM ANALYSIS EXAMPLE ‐ CARTRIDGE HEIGHT.MPJ”īasic Information about the DataDescriptive Statistics: Thailand ReadingVariableThailand ReadingN90N*0VariableThailand ReadingQ315.574Mean15.097SE um17.423Descriptive Statistics: Singapore ReadingVariableSingapore ReadingN90N*0VariableSingapore ReadingQ315.756Mean15.289Maximum17.633SE Mean0.125 MSA needed Gauge R&R both TH and SG plants2. Cartridge heights were measured by 3 different tools (A, B andC) each measured 3 times then sent back to Thailand for investigationThailand Action Items :1. The FA reported thatall units got cartridge height problem.Possible Root Causes: Correlation, Cartridge installation or Both?10 cartridges were randomly selected from assembly lines at SGplant. Example, height orweight of student.X 150, 160, 170 cm,X 60, 65, 70 kgĬase StudyScenario :There was an issue feedback from HDD manufacturing plant inSingapore. Example, a shaftdiameter measured by Go-no go gage.X Good or No Good,X Pass or Fail Variable / Continuous data : Quantitative datameasured by measurement system. Type of Data Discrete (attribute) Data : Qualitative data that can becounted and recorded to analysis. Gage R&R EvaluatingType of measurement system variation : Width or Spread Repeatability : is the variation inmeasurements obtained with onemeasurement instrument when usedseveral times by an appraiser whilemeasuring the identical characteristic onthe same part / condition.Repeatability Reproducibility : is the variation in theaverage of the measurements made bydifferent appraisers using the samemeasurement instrument when measurethe identical characteristic on the samepart / condition.Ref. Resolution ( Precision ) Bias ( Accuracy ) Measurement System Analysis Off Line Resolution ( Precision ) Bias ( Accuracy ) Linearity On line Repeatability Reproducibility Stability ![]() ProductVariabilityTotal VariabilityMeasurementVariability 2total 2product 2measurement system We’ll get ready to look at the results from the gage R&R study next time.Measurement System Analysis (MSA) Using MINITABTo reduce the total variation ‘Measurement Variation’ should be identified.TotalvariationProcessVariationShort termBiasMeasurementVariationVariation withinprocessVariation withinSampleMeasurementvariabilityLong tion If you’re ready for more, check out this article: Gage R&R Study (Expanded). Of course, in your real measurement systems, you may have other sources of variation that you want to study besides just repeatability and reproducibility. Now we have a worksheet setup that will let us keep track of our operators and the distances of the gummi bears they’re going to measure. (I’m going to choose 2 here, again mostly as a kindness to my volunteers.) (I’m going to use 4, even though I haven’t gotten any official volunteers yet. (I used 12 inches, 30 inches and 48 inches.) In real life, we want to study the range of outputs we expect to see from the process.) (I’m going to use 3 here, because I’m going to ask my coworkers to volunteer to be extra operators, and I think they’ll be more likely to play along if I don’t ask them to do too many measurements.
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