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ProcessControl

  

RControlLimits

  

compute control limits for the R chart

 

Calling Sequence

Parameters

Description

Computation

Options

Examples

References

Calling Sequence

RControlLimits(X, n, options)

Parameters

X

-

data

n

-

(optional) sample size

options

-

(optional) equation(s) of the form option=value where option is one of confidencelevel, ignore, or rbar; specify options for computing the control limits

Description

• 

The RControlLimits command computes the upper and lower control limits for the R chart. Unless explicitly given, the average range of individual samples is computed based on the data.

• 

The first parameter X is either a single data sample - given as a Vector or list - or a list of data samples. Each value represents an individual observation. Note, that the individual samples can be of variable size.

• 

If X is a single data sample, the second parameter n is used to specify the size of individual samples.

Computation

• 

All computations involving data are performed in floating-point; therefore, all data provided must have type realcons and all returned solutions are floating-point, even if the problem is specified with exact values.

• 

For more information about computation in the ProcessControl package, see the ProcessControl help page.

Options

  

The options argument can contain one or more of the following options.

• 

confidencelevel=realcons -- This option specifies the required confidence level. The default value is 0.9973, corresponding to a 3 sigma confidence level.

• 

ignore=truefalse -- This option controls how missing values are handled by the RControlLimits command. Missing values are represented by undefined or Float(undefined). So, if ignore=false and X contains missing data, the RControlLimits command returns undefined. If ignore=true, all missing items in X are ignored. The default value is true.

• 

rbar=deduce or realcons -- This option specifies the average range of individual samples.

Examples

withProcessControl:

infolevelProcessControl1:

A74.030,74.002,74.019,73.992,74.008,73.995,73.992,74.001,74.011,74.004,73.988,74.024,74.021,74.005,74.002,74.002,73.996,73.993,74.015,74.009,73.992,74.007,74.015,73.989,74.014,74.009,73.994,73.997,73.985,73.993,73.995,74.006,73.994,74.000,74.005,73.985,74.003,73.993,74.015,73.988,74.008,73.995,74.009,74.005,74.004,73.998,74.000,73.990,74.007,73.995,73.994,73.998,73.994,73.995,73.990,74.004,74.000,74.007,74.000,73.996,73.983,74.002,73.998,73.997,74.012,74.006,73.967,73.994,74.000,73.984,74.012,74.014,73.998,73.999,74.007,74.000,73.984,74.005,73.998,73.996,73.994,74.012,73.986,74.005,74.007,74.006,74.010,74.018,74.003,74.000,73.984,74.002,74.003,74.005,73.997,74.000,74.010,74.013,74.020,74.003,73.982,74.001,74.015,74.005,73.996,74.004,73.999,73.990,74.006,74.009,74.010,73.989,73.990,74.009,74.014,74.015,74.008,73.993,74.000,74.010,73.982,73.984,73.995,74.017,74.013:

B74.030,74.002,74.019,73.992,74.008,73.995,73.992,74.001,undefined,undefined,73.988,74.024,74.021,74.005,74.002,74.002,73.996,73.993,74.015,74.009,73.992,74.007,74.015,73.989,74.014,74.009,73.994,73.997,73.985,undefined,73.995,74.006,73.994,74.000,undefined,73.985,74.003,73.993,74.015,73.988,74.008,73.995,74.009,74.005,undefined,73.998,74.000,73.990,74.007,73.995,73.994,73.998,73.994,73.995,73.990,74.004,74.000,74.007,74.000,73.996,73.983,74.002,73.998,undefined,undefined,74.006,73.967,73.994,74.000,73.984,74.012,74.014,73.998,undefined,undefined,74.000,73.984,74.005,73.998,73.996,73.994,74.012,73.986,74.005,74.007,74.006,74.010,74.018,74.003,74.000,73.984,74.002,74.003,74.005,73.997,74.000,74.010,74.013,undefined,undefined,73.982,74.001,74.015,74.005,73.996,74.004,73.999,73.990,74.006,74.009,74.010,73.989,73.990,74.009,74.014,74.015,74.008,73.993,74.000,74.010,73.982,73.984,73.995,74.017,74.013:

RControlLimitsA

Sample Size:              constant

0.,0.0491377128733060

(1)

RControlLimitsA,confidencelevel=0.95

Sample Size:              constant

0.00632047186904479,0.0401595281309555

(2)

RControlLimitsB

Sample Size:              variable

0.,0.0468542047019142,0.,0.0570296043357637,0.,0.0468542047019142,0.,0.0468542047019142,0.,0.0468542047019142,0.,0.0505730160947950,0.,0.0505730160947950,0.,0.0468542047019142,0.,0.0505730160947950,0.,0.0468542047019142,0.,0.0468542047019142,0.,0.0468542047019142,0.,0.0570296043357637,0.,0.0468542047019142,0.,0.0570296043357637,0.,0.0468542047019142,0.,0.0468542047019142,0.,0.0468542047019142,0.,0.0468542047019142,0.,0.0570296043357637,0.,0.0468542047019142,0.,0.0468542047019142,0.,0.0468542047019142,0.,0.0468542047019142,0.,0.0468542047019142

(3)

RControlLimitsB,confidencelevel=0.95

Sample Size:              variable

0.00602674942418399,0.0382932505758173,0.,0.0449410561635488,0.00602674942418399,0.0382932505758173,0.00602674942418399,0.0382932505758173,0.00602674942418399,0.0382932505758173,0.00359717063151698,0.0407228293684843,0.00359717063151698,0.0407228293684843,0.00602674942418399,0.0382932505758173,0.00359717063151698,0.0407228293684843,0.00602674942418399,0.0382932505758173,0.00602674942418399,0.0382932505758173,0.00602674942418399,0.0382932505758173,0.,0.0449410561635488,0.00602674942418399,0.0382932505758173,0.,0.0449410561635488,0.00602674942418399,0.0382932505758173,0.00602674942418399,0.0382932505758173,0.00602674942418399,0.0382932505758173,0.00602674942418399,0.0382932505758173,0.,0.0449410561635488,0.00602674942418399,0.0382932505758173,0.00602674942418399,0.0382932505758173,0.00602674942418399,0.0382932505758173,0.00602674942418399,0.0382932505758173,0.00602674942418399,0.0382932505758173

(4)

References

  

Montgomery, Douglas C. Introduction to Statistical Quality Control. 2nd ed. New York: John Wiley & Sons, 1991.

See Also

infolevel

ProcessControl

ProcessControl[RChart]

ProcessControl[SChart]

ProcessControl[XBarChart]

Statistics

 


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