SixSigma
CPK
Returns the short term process capability of normally distributed data described by mean, standard deviation, USL and LSL. Underlying data is characterized by 5th parameter as short term or long term.

mean: is the mean of the normally distributed data.

stddev: is the standard deviation of the normally distributed data.

LSL: is the lower specification limit.

USL: is the upper specification limit

st/lt: indicates whether the data is long term (1.0) or short term (1.3). The value is the factor for the relationship of short term and long term standard deviation: s_lt = 1.3 * s_st.

dist: Describes the distribution. May be empty if no distribution is provided. Normal distribution = 1.

failures: is the number of failures. May be empty if a distribution is provided. Must be >4 if no distribution is provided.

samples: is the number of trials. May be empty if a distribution is provided.

param1: is the 1st parameter of the distribution (mean or shape)

param2: is the 2nd parameter of the distribution (standard deviation or scale)

param3: is the 3rd parameter of the distribution, if defined.

st/lt: indicates whether the data is long term (1.0) or short term (1.3). The value is the factor for the relationship of short term and long term standard deviation: s_lt = 1.3 * s_st.

: indicates whether the data is long term (1.0) or short term (1.3). The value is the factor for the relationship of short term and long term standard deviation: s_lt = 1.3 * s_st.

st/lt: indicates whether the data is long term (1.0) or short term (1.3). The value is the factor for the relationship of short term and long term standard deviation: s_lt = 1.3 * s_st.

st/lt:
ispoefactor
Checks if a specific factor is used in the transfer function of a ctq.

ctqmean: A vector containing the mean values of CTQs

factors: A vector containing the factors used in the transfer functions of the mean values.

selected: Optional: a specific CTQ

factor: Optional: a specific factor
pk
Returns the process capability of normally distributed data described by mean, standard deviation, USL and LSL.

mean: is the mean of the normally distributed data.

stddev: is the standard deviation of the normally distributed data.

LSL: is the lower specification limit.

USL: is the upper specification limit
poe
Calculates the propagation of errors (POE) for given mean values resulting from transfer functions.

ctqmean: The mean values as results of transfer functions

facmean: The factors used to calculate the mean values for the CTQs

facstdd: The standard deviation of the factors
poesensitivity
Calculates the sensitivity of a propagation of errors (POE) for given mean values resulting from transfer functions.

ctqmean: The mean values as results of transfer functions

poe: The result of a POE calculation

facmean: The factors used to calculate the mean values for the CTQs

facstdd: The standard deviation of the factors
ppk
Returns the long term process performance of normally distributed data described by mean, standard deviation, USL and LSL. Underlying data is characterized by 5th parameter as short term or long term.

mean: is the mean of the normally distributed data.

stddev: is the standard deviation of the normally distributed data.

LSL: is the lower specification limit.

USL: is the upper specification limit

st/lt: indicates whether the data is long term (1.0) or short term (1.3). The value is the factor for the relationship of short term and long term standard deviation: s_lt = 1.3 * s_st.

: indicates whether the data is long term (1.0) or short term (1.3). The value is the factor for the relationship of short term and long term standard deviation: s_lt = 1.3 * s_st.

st/lt: indicates whether the data is long term (1.0) or short term (1.3). The value is the factor for the relationship of short term and long term standard deviation: s_lt = 1.3 * s_st.
processsigma
Returns the short term Process Sigma for a given long term DPMO. Applies a Sigma shift of 1.5.

DPMO: are the defects per million opportunities (DPMO).

SHIFT: Is the optional sigma shift. Default is 1.5

ZLSL: is the z value for the lower specification limit

ZUSL: is the z value for the upper specification limit
rty
fills a vector by multiplying an input value by the value in the previous row of the vector. (f(i)=f(i1)*x)

value: is the scalar or vector with the input values

start: is the initial value

sort: defines a sort order

asc: true: sort ascending, false: sort descending

: is the scalar or vector with the input values

: is the initial value

: defines a sort order

: true: sort ascending, false: sort descending
sigmagap
returns the delta between the targeted Process Sigma and the measured or estmated Process Sigma considering the predicition maturity level.

ProcessSigma: is the Process Sigma measured or estimated

SigmaRisk: is the required safety margin on Process Sigma associated with the prediction maturity level.

TargetSigma: is the Process Sigma target.
targetstddev
Calculates the target standard deviation

Target: is the target value

LSL: is the lower specification limit

USL: is the upper specification limit

ProcessSigma: is the target process sigma value
transferfunction
Marks a column to be calculated by transfer functions that refer to a given vector of factors.
zsl
Returns the Z value for a specification limit (upper or lower). The functions expects normally distributed data described by mean and standard deviation. The four arguments are: spec limit, mean, stddev, short/long term.

mean: is the mean of the normally distributed data.

stddev: is the standard deviation of the normally distributed data.

limit: is the specification limit the Z value is to be determined for (select the upper spec limit to determine ZUSL or lower spec limit for ZLSL).

st/lt: indicates whether the data is long term (1.0) or short term (1.3). The value is the factor for the relationship of short term and long term standard deviation: s_lt = 1.3 * s_st.

: indicates whether the data is long term (1.0) or short term (1.3). The value is the factor for the relationship of short term and long term standard deviation: s_lt = 1.3 * s_st.

st/lt: indicates whether the data is long term (1.0) or short term (1.3). The value is the factor for the relationship of short term and long term standard deviation: s_lt = 1.3 * s_st.
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