By William B. Rice
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Extra info for Control Charts in Factory Management
A comparison of the two estimates from the same set of data, sˆ LT = s and sˆ ST = R/d2, is frequently helpful in troubleshooting. 25 The first, sˆ LT, estimates the variability of individuals produced over the period of sampling. The second, sˆ ST, estimates the within-subgroup variability of individual observations. If the process is stable, we expect the two estimates to be in fairly close agreement. The following pertinent discussion is from the ASTM Manual on Presentation of Data:26 25. 5.
13) using ranges from the rows of samples, ng = 5. c. Compute sˆ LT from the histogram of the first 16 rows. 1 for some discussion. 48 Part I: Basics of Interpretation of Data 5. Prepare suitable frequency distributions of the sets of data referred to in the – exercises below. Find X and sˆ for each set. ) a. 7 on an electrical characteristic. b. 1. If we assume that the average of the process could be increased to be at the center of the specifications, what percent would be expected to be under the LSL and what percent over the USL?
They help visualize the distribution and are used as vehicles of comparison. Used in conjunction with other methods, they can be important vehicles for visualization and understanding. 31 The dot plot is similar to the stem-and-leaf diagram in that the data are represented according to their value and not to a cell of values, as done with a histogram. Also, the dot plot is simple to construct like the stem-and-leaf diagram and tally sheets—as the data are collected or scanned, a dot is placed over the corresponding number on the horizontal line.