식스시그마의 1.5σ 이동에 대한 소고
A Note for 1.5σ Shift of Six Sigma
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Six Sigma is a philosophy and systematic methodology for quality improvement. It encourages continuous quality improvement efforts to achieve the ideal goal of 6 . Sigma( ) is a statistic representing the standard deviation of the normal distribution, and 6 level means a level where the tolerance of the specification is six times the standard deviation of the process distribution. In terms of the defective rate, the 6 level achieves the 0.002 defectives per one million units. However, in the field, the 6 level is used in the sense of achieving 3.4 defects per one million opportunities, which shows a large gap from the 6 level in the statistical viewpoint. This is because field practitioners accept a 1.5 shift of the mean of process when calculating the defective rate under sigma level. It said that the acceptance of 1.5 shift of the mean is from experience, but there is no research or theoretical explanation to support it logically. Although it is a non-scientific explanation based on experience, considering that there has been no objection to the 1.5 shift for a long time and it is rather accepted, it is judged that there is a reasonable basis for the 1.5 shift. Therefore, this study tries to find a reasonable explanation through detective power of control chart via the run-rules to the 1.5 shift empirically recognized by practitioners.
Abstract
Six Sigma is a philosophy and systematic methodology for quality improvement. It encourages continuous quality improvement efforts to achieve the ideal goal of 6 . Sigma( ) is a statistic representing the standard deviation of the normal distribution, and 6 level means a level where the tolerance of the specification is six times the standard deviation of the process distribution. In terms of the defective rate, the 6 level achieves the 0.002 defectives per one million units. However, in the field, the 6 level is used in the sense of achieving 3.4 defects per one million opportunities, which shows a large gap from the 6 level in the statistical viewpoint. This is because field practitioners accept a 1.5 shift of the mean of process when calculating the defective rate under sigma level. It said that the acceptance of 1.5 shift of the mean is from experience, but there is no research or theoretical explanation to support it logically. Although it is a non-scientific explanation based on experience, considering that there has been no objection to the 1.5 shift for a long time and it is rather accepted, it is judged that there is a reasonable basis for the 1.5 shift. Therefore, this study tries to find a reasonable explanation through detective power of control chart via the run-rules to the 1.5 shift empirically recognized by practitioners.
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