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   Quick Guide to Precision                                                                                          Quality Control
   Measuring Instruments

    Quality Control (QC)                                                                                             Histogram

A  A system for economically producing products or services of a quality that meets                                  A diagram that divides the range between the maximum and the minimum
   customer requirements.                                                                                            measured values into several divisions and shows the number of values

    Process Quality Control                                                                                         (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
   Activities to reduce variation in product output by a process and keep this                                       distribution and is much used in theoretical examples on account of its easily
   variation low. Process improvement and standardization as well as technology                                      calculable characteristics. However, caution should be observed because many
   accumulation are promoted through these activities.                                                               real processes do not conform to the normal distribution, and error will result

    Statistical Process Control (SPC)                                                                               if it is assumed that they do.

   Process quality control through statistical methods.                                                               Process Capability

    Population                                                                                                      Process-specific performance demonstrated when the process is sufficiently
                                                                                                                     standardized, any causes of malfunctions are eliminated, and the process is in
   A group of all items that have characteristics to be considered for improving and                                 a state of statistical control. The process capability is represented by mean ±3s
   controlling processes and quality of product. A group which is treated based on                                   or 6s when the quality characteristic output from the process shows normal
   samples is usually the population represented by the samples.                                                     distribution. s (sigma) indicates standard deviation.

    Lot                                                                                                              Process Capability Index (PCI or Cp)

   Collection of product produced under the same conditions.                                                         A measure of how well the process can operate within the tolerance limits of
                                                                                                                     the target characteristic. It should always be significantly greater than one.
    Sample                                                                                                          The index value is calculated by dividing the tolerance of a target characteristic
                                                                                                                     by the process capability (6s). The value calculated by dividing the difference
   An item of product (or items) taken out of the population to investigate its                                      between the mean (X) and the standard value by 3s may be used to represent
   characteristics.                                                                                                  this index in cases of a unilateral tolerance. The process capability index
                                                                                                                     assumes that a characteristic follows the normal distribution.
    Sample Size

   Number of product items in the sample.                                                                            Notes: If a characteristic follows the normal distribution, 99.74% data is
                                                                                                                             within the range ±3s from the mean.
    Bias

   Value calculated by subtracting the true value from the mean of measured                                          	  Bilateral tolerance
   values when multiple measurements are performed.                                                                  	
                                                                                                                        	  Cp = —US6L-sL	SL	          USL: Upper specification limit
    Dispersion                                                                                                         	                             LSL: Lower specification limit

   Variation in the values of a target characteristic in relation to the mean value.                                         Unilateral tolerance ... If only the upper limit is stipulated
   Standard deviation is usually used to represent the dispersion of values around                                   	
   the mean.                                                                                                         	 Cp = —U3SLs-X

   Frequency                                                                                                                 Unilateral tolerance ... If only the lower limit is stipulated
             Lower specification limit (LSL)                                                                         	
                                                                                                                     	 Cp = —X3-LsSL
                                        Target process mean
                                                  Mean

                                                                   Upper specification limit (USL)

                                                                                                    Noncompliance

               Bias                                                                                 Measured values
          Dispersion/imprecision
   Tolerance (USL - LSL)

                                           A-21

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