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- 9 лет ago
- Published в: Irish open golf 2022 betting
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- Автор: Jusida

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An example based on the data above is shown below. If you select that button, the input screen will show the options available for the chart. It is not required to select any of these options. Each option is described below. Plot 1 and 2 Sigma Lines for zone tests : select this option to plot the 1 and 2 sigma lines on on the control chart; this option is overridden by the option to add two additional lines on the Control Limits Options. Note that sigma is estimated from the moving range.

Select OK to use selected options Select Cancel to revert to previous options Chart Location If you select the "Chart Location" button, the following screen is displayed. The options are: New Chart Sheet: places the X chart on a new chart sheet In Worksheet with Data: places the X chart on the worksheet containing the data In New Worksheet: places both the X on a new worksheet Select OK to use selected options Select Cancel to revert to previous options Notes: Once a control chart is made, you can move the chart to new locations in the workbook.

The software will find the chart when updating. This option is not available when a chart's options are updated since you can manually move the charts to new locations in the workbook Box-Cox Transformation Selecting the "Box-Cox Transformation" button displays the following screen: The options are: Use Box-Cox to Transform the Data: selecting this option reveals the bottom part of the input form Options for Lambda Find optimal lambda between: finds the value of lambda that minimizes the standard deviation between the default values of -5 and 5 Find rounded lambda between: finds the rounded value of lambda that minimizes the standard deviation between the default values of -5 and 5; rounded value of lambda are -5, -4, -3, -2, -1, -.

The standard deviation that is minimized is based on the method used to estimate sigma from the range chart see Control Limit Options Process Capability The "Process Capability" button gives you the option to "tie" a control chart to a process capability chart.

This is different from running a process capability option by itself. When the process capability is tied to a control chart, the estimated sigma is based on the option you selected to estimate the value of sigma for the range chart for that control chart. For example, you might have 20 subgroups and split the control limits for the last 10 subgroups. In that case, the process capability when it is tied to a control chart will be based on the estimated sigma for the last ten subgroups. This forces the X chart to do the work of finding the special causes.

The X chart monitors the variation in individual values over time. You can refer to this as the long-term variation for the X-mR chart. Each individual value is compared to the overall average to see if it is significantly different. If the value is beyond the control limits, a significant difference exists. X is the average X value, and mR is the average moving range. The mR chart monitors the variation in the range between consecutive X values over time.

You can refer to this as the short-term variation for the X-mR chart. Each moving range value is compared to the average moving range to see if it is significantly different. If a moving range is beyond the control limits, a significant difference exists. Why shouldn't you use the X-mR chart for Plan A? Plan A collects four consecutive bag weights at the start of each hour. If at all possible, you want to minimize the variation in the mR chart, so the X chart does the work in finding out of control points.

You attempt to do this with the X-mR chart by ensuring that the time between the samples is the same. What is the fourth moving range? It is between X4 and X1 for the start of the next hour. A large time difference compared to the first three samples. The odds of these moving ranges being homogeneous is lower due to the sampling.

Applying the X-mR chart with Plan A will probably lead to problems — most likely missed signals. Plan B will work with the X-mR chart. The time period between samples is the same so the short-term variation between consecutive samples will probably be more homogeneous. What variation is the X chart monitoring in Plan B for the bag weight example? The X chart is monitoring the variation in bag weights every 15 minutes.

What variation is the mR chart monitoring in Plan B for the bag weight example? The mR chart is monitoring the variation in consecutive bag weights every 15 minutes. Notice in the descriptions of what the X-R and X-mR charts are measuring, there is always time mentioned. Time is always a part of the variation a control chart is monitoring. Plan B works with either chart. So, is one better than the other? Maybe it is the X-mR chart. A point is plotted every 15 minutes compared to a point every hour with the X-R chart.

It is the more frequent charting of points that causes potential problems with the X-mR chart. There are more false signals with the X-mR chart. This is shown in the simulation described below. The objective is to compare the two charts for monitoring a process.

Our process for the simulation has an average of and a standard deviation of We will assume that our process is normally distributed. A random number generator was used to generate 10, points for a normal distribution. These 10, points represent our "population. A histogram of the 10, points is shown in Figure 2. Figure 2: Population Histogram The average of the 10, point is This population is randomly sampled to obtain the X values.

Since these 10, values don't change and the samples are randomly selected, you would expect the process to be in statistical control. The simulation created in Excel is run the following way: Randomly sample X values from the population Construct the X-mR chart from the X values Determine if there are any out of control points on either the X or mR chart Use the same points and form subgroups of size 4 in the order the data was randomly selected Construct the X-R from the 30 subgroups Determine if there are any out of control points on either the X or R chart Repeat this 1, times Compare the results between the two control charts You might ask why this simulation is repeated times.

It is called variation. The simulation could be run 1 time and the results for the two control charts compared. But will you get the same result the second time you run the simulation? Most likely not. Figures 3 and 4 show the results for the X-mR chart from one run of the simulation. Are these true signals that the process has changed?

No, they are not. The process doesn't change, and the X values were drawn at random from the process. These are false signals.

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