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This article shows you how to analyze the normal distribution ability after Box-Cox transformation in Minitab. The content is concise and easy to understand, which can definitely brighten your eyes. I hope you can get something through the detailed introduction of this article.

1. Analysis of normal distribution ability after Box-Cox transformation.

[example 17-6] an engineer in a floor tile factory measured the warpage of 10 tiles produced in each of the 10 working days. The warping measurement value USL is 6mm. Try to analyze the ability of normal distribution. (tile warping. MTW)

First, open the worksheet: "Ceramic tile warping. MTW".

Second, capability analysis (normal distribution) (CapabilityAnalysis (Normal Distribution)) main dialog box (see figure 17-14), [data arrangement (Data are arranged as)] is [single column (Singlecolumn)], and select "C1 (warping degree)" and [subgroup size (Subgroup size)] is 10. Set [upper specification limit (Upper spec)] to 6.

3. In the Transform dialog box (see figure 17-15), select [use optimal λ (Use optimal λ)] in [Box-Cox Power Transformation (W = Y ^ λ) (Box-Coxpower transformation) (W = Y ^ λ)]. (note: by means of individual distribution identification, Box-Cox transformation, normality test, AD= 0.345.

Fourth, options (Options) dialog box (see figure 17-17), do not set [goal (add Cpm to the table) (Target (adds Cpm to table))] and do not select [including confidence interval (Include confidence intervals)], other choices are the same as figure 17-17.

V. main results and analysis, see figure 17-21

The main results are as follows: 1. From the ability histogram of the original data in the upper left corner, it can be seen that the data are skewed and do not meet the conditions of normal distribution capability analysis. After Box-Cox transformation, the transformed data approximately obeys normal distribution, and part of the transformed data exceeds USL.

2. The values of PpK and CPk are about 0. 5 and < 0. 67, indicating that the distribution center deviates seriously.

3. According to the performance index, the unqualified rate of ceramic tile warping degree observation is 70000ppm, and the expected unqualified rate is 63163ppm. It is obvious that the ceramic tile manufacturer failed to meet the requirements of customers.

The above content is how to analyze the normal distribution ability after Box-Cox transformation in Minitab. Have you learned the knowledge or skills? If you want to learn more skills or enrich your knowledge reserve, you are welcome to follow the industry information channel.

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