MEASURING INSTRUMENTS CATALOG No.E2016
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A-25AMitutoyo operates a policy of continuous improvement that aims to provide the customer with the benet of the latest technological advances.Therefore the company reserves the right to change any or all aspects of any product specication without notice.A-25■ HistogramA diagram that divides the range between the maximum and the minimum measured values into several divisions and shows the number of values (appearance frequency) in each division in the form of a bar graph. This makes it easier to understand the rough average or the approximate extent of dispersion. A bell-shaped symmetric distribution is called the normal distribution and is much used in theoretical examples on account of its easily calculable characteristics. However, caution should be observed because many real processes do not conform to the normal distribution, and error will result if it is assumed that they do.■ Process capabilityProcess-specic performance demonstrated when the process is sufciently standardized, any causes of malfunctions are eliminated, and the process is in a state of statistical control. The process capability is represented by mean ±3 or 6 when the quality characteristic output from the process shows normal distribution. (sigma) indicates standard deviation.■ Process capability index (PCI or Cp)A measure of how well the process can operate within the tolerance limits of the target characteristic. It should always be signicantly greater than one. The index value is calculated by dividing the tolerance of a target characteristic by the process capability (6). The value calculated by dividing the difference between the mean (X) and the standard value by 3 may be used to represent this index in cases of a unilateral tolerance. The process capability index assumes that a characteristic follows the normal distribution.Notes: If a characteristic follows the normal distribution, 99.74% data is within the range ±3 from the mean.Bilateral toleranceUSL: Upper specication limitLSL: Lower specication limitUnilateral tolerance ... If only the upper limit is stipulatedUnilateral tolerance ... If only the lower limit is stipulatedUSL-LSL Cp = —6X-LSL Cp = —3USL-X Cp = —3FrequencyLower specification limit (LSL)Upper specification limit (USL)Target process meanNoncomplianceMeasured valuesDispersion/imprecisionTolerance (USL - LSL)BiasMeanAQuality ControlQuick Guide to Precision Measuring Instruments■ Quality control (QC)A system for economically producing products or services of a quality that meets customer requirements.■ Process quality controlActivities to reduce variation in product output by a process and keep this variation low. Process improvement and standardization as well as technology accumulation are promoted through these activities.■ Statistical process control (SPC)Process quality control through statistical methods.■ PopulationA group of all items that have characteristics to be considered for improving and controlling processes and quality of product. A group which is treated based on samples is usually the population represented by the samples.■ LotCollection of product produced under the same conditions.■ SampleAn item of product (or items) taken out of the population to investigate its characteristics.■ Sample sizeNumber of product items in the sample.■ BiasValue calculated by subtracting the true value from the mean of measured values when multiple measurements are performed.■ DispersionVariation in the values of a target characteristic in relation to the mean value. Standard deviation is usually used to represent the dispersion of values around the mean.

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