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Calculation Options
There are three important
parameters to select to display the process
capability
|
Option |
Description |
Recommended |
|
A |
Calculation type |
Cpk for all
Ppk for auto
Industry
Six Sigma for Six
Sigma |
|
B |
Use Average or
Median |
Use Average unless
specified by customer |
|
C |
Standard Deviation
Calculation Method |
Use STD Sample |
Options A – Calculation Type

There are four options used
in this calculation
[1] Cpk: Cp
and Cpk, commonly referred to as process
capability indices, are used to define the
ability of a process to produce a product that
meets requirements. In the Cpk
calculation, the standard deviation is based on
subgroups of the data using subgroups ranges,
standard deviations or moving ranges. Normally
is calculated using Sigma (R_Ave/d2)

[2] PpK
In the Pp and Ppk
calculations, the standard deviation used in the
denominator is based on all of the data
evaluated as one sample, without regard to any
sub-grouping. The calculation is based on
Standard Deviation of Data
[3] Six Sigma [short
Term]
[4] Six Sigma [Long
Term]

Options B – Average or Median

Median: The median
is the number in the middle of a set of numbers;
that is, half the numbers have values that are
greater than the median, and half have values
that are less.
Average: average
(arithmetic mean) of a set of numbers.
(Recommended)
Option C – Standard Deviation Method
There are four methods
available to calculate the Sigma or
standard deviation of the data. Normally option
3 is used.


(1) Standard Deviation Sample
The Sigma is calculated
based on standard deviation based on a sample.
The standard deviation is a measure of how
widely values are dispersed from the average
value (the mean).

Remarks
- MS Excel STDEVA is
used
- STDEVA assumes that
its arguments are a sample of the
population. If your data represents the
entire population, you must compute the
standard deviation using STDEVPA.
- Arguments that contain
TRUE evaluate as 1; arguments that contain
text or FALSE evaluate as 0 (zero). If the
calculation must not include text or logical
values, use the STDEV worksheet function
instead.
- The standard deviation
is calculated using the "nonbiased" or "n-1"
method.
- STDEVA uses the
following formula:

(2) Standard Deviation
The Sigma is calculated
based on the standard deviation of the entire
population given as arguments, including text
and logical values. The standard deviation is a
measure of how widely values are dispersed from
the average value (the mean).

Remarks
- Use MS Excel STDEVPA
Function.
- STDEVPA assumes that
its arguments are the entire population. If
your data represents a sample of the
population, you must compute the standard
deviation using STDEVA.
- Arguments that contain
TRUE evaluate as 1; arguments that contain
text or FALSE evaluate as 0 (zero). If the
calculation must not include text or logical
values, use the STDEVP worksheet function
instead.
- For large sample
sizes, STDEVA and STDEVPA return
approximately equal values.
- The standard deviation
is calculated using the "biased" or "n"
method.
- STDEVPA uses the
following formula:

(3) Standard
Deviation form X-Chart
The Sigma is
calculated from Average of Range divided by d2
constant.


(4) Standard
Deviation from X-Bar Chart
The Sigma is
calculated from Average of Range divided by d2
constant.
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