User:DanielPenfield/Infobox control chart/doc

Infobox for control charts.

Usage

Copy-paste this empty template. Explanations of the parameters is given below

{{Infobox control chart
| name =                      
| proposer =                  
<!-----Process observations----->
| subgroupsize =              
| measurementtype =           
| qualitycharacteristictype = 
| distribution =              
<!---------Performance---------->
| sizeofshift =               
| arl =                       
<!---Process variation chart--->
| varchart =                  
| varcenter =                 
| varupperlimit =             
| varlowerlimit =             
| varstatistic =              
<!------Process mean chart------>
| meanchart =                 
| meancenter =                
| meanlimits =                
| meanupperlimit =                
| meanlowerlimit =                
| meanstatistic =             
}}

Parameter descriptions

Parameter	Required?	Default value	Conditional upon	Description
name	No	{{PAGENAME}}	None	The name of the chart
proposer	No	None	None	The person who originally proposed the chart
subgroupsize	Yes	None	None	The size of the rational subgroup being monitored
measurementtype	Yes	None	None	What is being measured (quality characteristic directly, proportion, count, etc.)
qualitycharacteristictype	Yes	None	None	Attributes or variables data
distribution	Yes	None	None	Probability distribution of the quality characteristic
sizeofshift	No	None	None	Minimum size of the shift in the quality characteristic that the chart can detect
arl	No	None	None	Average run length
varchart	No	None	None	Image file depicting control chart for variability
varcenter	No	None	None	How to compute the variability control chart center line
varupperlimit	No	None	None	How to compute the variability control chart upper limit
varlowerlimit	No	None	None	How to compute the variability control chart lower limit
varstatistic	No	None	None	How to compute the individual points on the variability control chart
meanchart	No	None	None	Image file depicting control chart for the mean
meancenter	No	None	None	How to compute the mean control chart center line
meanlimits	No	None	None	How to compute the mean control chart limits (if limits are symmetric)
meanupperlimit	No	None	!{{meanlimits}}	How to compute the mean control chart upper limit (if limits are asymmetric)
meanlowerlimit	No	None	!{{meanlimits}}	How to compute the mean control chart lower limit (if limits are asymmetric)
meanstatistic	No	None	None	How to compute the individual points on the mean control chart

Example

np-chart
Originally proposed by	Walter A. Shewhart
Process observations
Rational subgroup size	n > 1
Measurement type	Fraction nonconforming per unit
Quality characteristic type	Attributes data
Underlying distribution	Binomial distribution
Performance
Size of shift to detect	≥ 1.5σ
Average run length (ARL)	Unknown
Process standard deviation chart
Not applicable
Process mean chart
Center line	$n{\bar {p}}={\frac {\sum _{i=1}^{m}\sum _{j=1}^{n}{\begin{cases}1&{\mbox{if }}x_{ij}{\mbox{ defective}}\\0&{\mbox{otherwise}}\end{cases}}}{m}}$
Control limits	$n{\bar {p}}\pm 3{\sqrt {n{\bar {p}}(1-{\bar {p}})}}$
Plotted statistic	$n{\bar {p}}_{i}=\sum _{j=1}^{n}{\begin{cases}1&{\mbox{if }}x_{ij}{\mbox{ defective}}\\0&{\mbox{otherwise}}\end{cases}}$

{{User:DanielPenfield/Infobox control chart
| name =            np-chart
| proposer =        [[Walter A. Shewhart]]
| subgroupsize =    n > 1
| measurementtype = Fraction nonconforming per unit
| qualitycharacteristictype = Attributes data
| distribution =    [[Binomial distribution]]
| sizeofshift =     ≥ 1.5σ
| arl =             Unknown
| meanchart =       Np control chart.svg
| meancenter =      <math>n \bar p = \frac {\sum_{i=1}^m \sum_{j=1}^n \begin{cases} 1 & \mbox{if }x_{ij}\mbox{ defective} \\ 0 & \mbox{otherwise} \end{cases}}{m}</math>
| meanlimits =      <math>n \bar p \pm 3\sqrt{n \bar p(1- \bar p)}</math>
| meanstatistic =   <math>n \bar p_i = \sum_{j=1}^n \begin{cases} 1 & \mbox{if }x_{ij}\mbox{ defective} \\ 0 & \mbox{otherwise} \end{cases}</math>
}}