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ProcessControl

  

PControlLimits

  

compute control limits for the P chart

 

Calling Sequence

Parameters

Description

Computation

Options

Examples

References

Calling Sequence

PControlLimits(X, n, options)

Parameters

X

-

data

n

-

sample size

options

-

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

Description

• 

The PControlLimits command computes the upper and lower control limits for the P chart. Unless explicitly given, the standard deviation of the underlying quality characteristic is computed based on the data.

• 

The first parameter X is a single data sample, given as a Vector or list. Each value represents the number of nonconforming items in the corresponding sample.

• 

The second parameter n specifies the size of the samples. It can be either a positive integer, in which case all samples are assumed to be of size n, or a list (or Vector) of positive integers. Each value represents the size of the corresponding sample.

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.

• 

pbar=deduce or realcons -- This option specifies the average fraction of nonconforming items per data sample.

Examples

withProcessControl:

infolevelProcessControl1:

A12,8,6,9,10,12,11,16,10,6,20,15,9,8,6,8,10,7,5,8,5,8,10,6,9

A:=12,8,6,9,10,12,11,16,10,6,20,15,9,8,6,8,10,7,5,8,5,8,10,6,9

(1)

N100,80,80,100,110,110,100,100,90,90,110,120,120,120,110,80,80,80,90,100,100,100,100,90,90

N:=100,80,80,100,110,110,100,100,90,90,110,120,120,120,110,80,80,80,90,100,100,100,100,90,90

(2)

PControlLimitsA,N

0.00733469451799994,0.183685713645266,0.,0.194093420749116,0.,0.194093420736166,0.00733469452185952,0.183685713641406,0.0114381544250419,0.179582253738224,0.0114381544116218,0.179582253751644,0.00733469452185952,0.183685713641406,0.00733469452185952,0.183685713641406,0.00256505605928631,0.188455352103979,0.00256505607051234,0.188455352092753,0.0114381544116218,0.179582253751644,0.0150173447357757,0.176003063427490,0.0150173447401369,0.176003063423129,0.0150173447401369,0.176003063423129,0.0114381544116218,0.179582253751644,0.,0.194093420736166,0.,0.194093420736166,0.,0.194093420736166,0.00256505607051234,0.188455352092753,0.00733469452185952,0.183685713641406,0.00733469452185952,0.183685713641406,0.00733469452185952,0.183685713641406,0.00733469452185952,0.183685713641406,0.00256505607051234,0.188455352092753,0.00256505607051234,0.188455352092753

(3)

PControlLimitsA,N,confidencelevel=0.95

0.0379032631976375,0.153117144965628,0.0311036861854201,0.159916721977845,0.0311036861938802,0.159916721969385,0.0379032632001590,0.153117144963106,0.0405841410678608,0.150436267095404,0.0405841410590932,0.150436267104172,0.0379032632001590,0.153117144963106,0.0379032632001590,0.153117144963106,0.0347871566722665,0.156233251490999,0.0347871566796007,0.156233251483665,0.0405841410590932,0.150436267104172,0.0429225024299147,0.148097905733351,0.0429225024327639,0.148097905730501,0.0429225024327639,0.148097905730501,0.0405841410590932,0.150436267104172,0.0311036861938802,0.159916721969385,0.0311036861938802,0.159916721969385,0.0311036861938802,0.159916721969385,0.0347871566796007,0.156233251483665,0.0379032632001590,0.153117144963106,0.0379032632001590,0.153117144963106,0.0379032632001590,0.153117144963106,0.0379032632001590,0.153117144963106,0.0347871566796007,0.156233251483665,0.0347871566796007,0.156233251483665

(4)

PControlLimitsA,100

0.00621857384815468,0.180981426151846

(5)

PControlLimitsA,100,confidencelevel=0.95

0.0365118507466331,0.150688149253367

(6)

References

  

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

See Also

infolevel

ProcessControl

ProcessControl[NPChart]

ProcessControl[NPControlLimits]

ProcessControl[PChart]

Statistics

 


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