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In: Accounting

When using a control chart, what are some patterns that would indicate that the process is...

When using a control chart, what are some patterns that would indicate that the process is out of control? Additionally explain what might cause a process to be out of control. In your responses to other students, relate and identify to an example of process that you have seen out of control.

Solutions

Expert Solution

In statistics, Control charts are the tools in control processes to determine whether a manufacturing process or a business process is in a controlled statistical state. This chart is a graph which is used to study process changes over time. The data is plotted in a timely order. It is bound to have a central line of average, an upper line of upper control limit and a lower line of lower control limit. In addition, the data obtained from the process can also be applied in making the prediction of the future performances of the process.

When the analysis made by the control chart indicates that the process is currently under control, it reveals that the process is stable with the variations that come from sources familiar with the process. No changes or corrections are required to be made to the parameters of process control.

If analysis of the control chart indicates that the process is currently under control (i.e., is stable, with variation only coming from sources common to the process), then no corrections or changes to process control parameters are needed or desired. In addition, data from the process can be used to predict the future performance of the process. If the chart indicates that the monitored process is not in control, analysis of the chart can help determine the sources of variation, as this will result in degraded process performance.[1] A process that is stable but operating outside desired (specification) limits (e.g., scrap rates may be in statistical control but above desired limits) needs to be improved through a deliberate effort to understand the causes of current performance and fundamentally improve the process.

Rule

Rule Name

Pattern

1

Beyond Limits

One or more points beyond the control limits

2

Zone A

2 out of 3 consecutive points in Zone A or beyond

3

Zone B

4 out of 5 consecutive points in Zone B or beyond

4

Zone C

7 or more consecutive points on one side of the average (in Zone C or beyond)

5

Trend

7 consecutive points trending up or trending down

6

Mixture

8 consecutive points with no points in Zone C

7

Stratification

15 consecutive points in Zone C

8

Over-control

14 consecutive points alternating up and down

Pattern Description

Rules

Possible Causes

Large shifts from the average

1, 2

New person doing the job

Wrong setup

Measurement error

Process step skipped

Process step not completed

Power failure

Equipment breakdown

Small shifts from the average

3, 4

Raw material change

Change in work instruction

Different measurement device/calibration

Different shift

Person gains greater skills in doing the job

Change in maintenance program

Change in setup procedure

Trends

5

Tooling wear

Temperature effects (cooling, heating)

Mixtures

6

More than one process present (e.g. shifts, machines, raw material.)

Stratifications

7

More than one process present (e.g. shifts, machines, raw materials)

Over-control

8

Tampering by operator

Alternating raw materials

Figure 1 Control Chart: Out-of-Control Signals

  • A single point outside the control limits. In Figure 1, point sixteen is above the UCL (upper control limit).
  • Two out of three successive points are on the same side of the centerline and farther than 2 σ from it. In Figure 1, point 4 sends that signal.
  • Four out of five successive points are on the same side of the centerline and farther than 1 σ from it. In Figure 1, point 11 sends that signal.
  • A run of eight in a row are on the same side of the centerline. Or 10 out of 11, 12 out of 14, or 16 out of 20. In Figure 1, point 21 is eighth in a row above the centerline.
  • Obvious consistent or persistent patterns that suggest something unusual about your data and your process.

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