Finger binary - Revision history

en>Cydebot: Robot - Speedily moving category Finger counting to :Category:Finger-counting per CFDS.

2014-11-13T09:53:22Z

Robot - Speedily moving category Finger counting to Category:Finger-counting per CFDS.

← Older revision		Revision as of 11:53, 13 November 2014
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	~~The~~ title ~~of the writer~~ is ~~Figures~~. ~~North~~ Dakota is ~~where me~~ and ~~my spouse reside. What I adore performing is playing baseball but~~ I ~~haven~~'~~t made a dime~~ with it. ~~For many years~~ he~~'s been operating as~~ a meter reader ~~and it's some thing he really appreciate~~.<br><br>~~Also visit~~ my ~~webpage ...~~ home std test kit ([http://www.~~animecontent~~.~~com~~/~~user~~/~~D2456 click through the up coming webpage~~])		Hi there. Let me start by introducing the author, her title is Myrtle Cleary. For a whilst she's been in South Dakota. One of the very very best issues in the world for me is to do aerobics and now I'm trying to make money with it. He used to be unemployed but now he is a meter reader.<br><br>my blog: home std test kit ([http://www.gaysphere.net/blog/262619 Source Webpage])

en>Ohnoitsjamie: unnecessary

2014-02-04T23:04:44Z

unnecessary

← Older revision		Revision as of 01:04, 5 February 2014
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	~~{{correct~~ title~~\|<math>\bar x</math> and R chart}}~~		The title of the writer is Figures. North Dakota is where me and my spouse reside. What I adore performing is playing baseball but I haven't made a dime with it. For many years he's been operating as a meter reader and it's some thing he really appreciate.<br><br>Also visit my webpage ... home std test kit ([http://www.animecontent.com/user/D2456 click through the up coming webpage])
	~~{{Infobox control chart~~
	~~\| name = <math>\bar x</math> and R chart~~
	~~\| proposer = [[Walter A. Shewhart]]~~
	~~\| subgroupsize = 1 < n ≤ 10~~
	~~\| measurementtype = Average quality characteristic per unit~~
	~~\| qualitycharacteristictype = [[Variable and attribute (research)\|Variables data]]~~
	~~\| distribution = [[Normal distribution]]~~
	~~\| sizeofshift = ≥ 1.5σ~~
	~~\| varchart = R chart for a paired xbar and R chart.svg~~
	~~\| varcenter = <math>\bar R = \frac {\sum_{i=1}^m max(x_{ij}) - min(x_{ij})}{m}</math>~~
	~~\| varupperlimit = <math>D_4 \bar R</math>~~
	~~\| varlowerlimit = <math>D_3 \bar R</math>~~
	~~\| varstatistic = R<sub>i</sub> = max(x<sub>j</sub>) - min(x<sub>j</sub>)~~
	~~\| meanchart = Xbar chart for a paired xbar and R chart.svg~~
	~~\| meancenter = <math>\bar x = \frac {\sum_{i=1}^m \sum_{j=1}^n x_{ij}}{mn}</math>~~
	~~\| meanlimits = <math>\bar x \pm A_2 \bar R</math>~~
	~~\| meanstatistic = <math>\bar x_i = \frac {\sum_{j=1}^n x_{ij}}{n}</math>~~
	}}

	~~In [[statistical process control\|statistical quality control]],~~ the ~~'''<math>\bar x</math> and R chart'''~~ is a type of [[control chart]] used to monitor [[Variable and attribute (research)\|variables data]] when samples are collected at regular intervals from a [[Business process\|business]] or [[List of industrial processes\|industrial process]].~~<ref>{{Cite web\|url=http://www.itl.nist.gov/div898/handbook/pmc/section3/pmc321.htm\|title=Shewhart X-bar and R~~ and ~~S Control Charts\|accessdate=2009-01-13\|work=[http://www~~.~~itl.nist.gov/div898/handbook/index.htm NIST/Sematech Engineering Statistics Handbook]\|publisher=[[National Institute of Standards and Technology]]}}</ref>~~

	~~The chart~~ is ~~advantageous in the following situations:<ref>{{Cite book \| last = Montgomery \| first = Douglas \| title = Introduction to Statistical Quality Control \| publisher = [[John Wiley & Sons]], Inc~~. ~~\| year = 2005 \| location = [[Hoboken, New Jersey]] \| pages = 222 \| url = http://www.eas.asu.edu/~masmlab/montgomery/ \| isbn = 978-0-471-65631-9 \| oclc = 56729567}}</ref>~~
	~~#The sample size is relatively small (say, n ≤ 10—[[Xbar and~~ s ~~chart\|<math>\bar x</math> and s charts]] are typically used for larger sample sizes)~~
	~~#The sample size is constant~~
	~~#Humans must perform the calculations for the chart~~

	~~The "chart" actually consists of~~ a ~~pair of charts: One to monitor the process standard deviation (as approximated by the sample [[Range (statistics)\|moving range]]) and another to monitor the process mean, as is done with the [[Xbar~~ and s ~~chart\|<math>\bar x</math> and s]] and [[Shewhart individuals control chart\|individuals control chart]]s~~. ~~The~~ <~~math~~>~~\bar x~~<~~/math~~> and R chart plots the mean value for the quality characteristic across all units in the sample, <math>\bar x_i</math>, plus the range of the quality characteristic across all units in the sample as follows:
	~~:R = x<sub>max</sub> - x<sub>min</sub>.~~

	~~The [[normal distribution]] is the basis for the charts and requires the following assumptions:~~
	*The quality characteristic to be monitored is adequately modeled by a [[Normal distribution\|normally distributed]] [[random variable]]
	*The parameters μ and σ for the random variable are the same for each unit and each unit is independent of its predecessors or successors
	*The inspection procedure is same for each sample and is carried out consistently from sample to sample

	~~The control limits for this chart type are:<ref>{{Cite book \| last = Montgomery \| first = Douglas \| title = Introduction to Statistical Quality Control \| publisher = [[John Wiley & Sons]], Inc~~. ~~\| year = 2005 \| location = [[Hoboken, New Jersey]] \| pages = 197 \| url = http://www.eas~~.~~asu~~.~~edu/~masmlab/montgomery/ \| isbn = 978-0-471-65631-9 \| oclc = 56729567}}</ref>~~
	*<math>D_3 \bar R</math> (~~lower) and <math>D_4 \bar R</math> (upper) for monitoring the process variability~~
	*<math>\bar x \pm A_2 \bar R</math> for monitoring the process mean
	:where <math>\bar x</math> and <math>\bar R = \frac {\sum_{i=1}^m \left ( R_{max} - R_{min} \right )}{m}</math> are the estimates of the long-term process mean and range established during control-chart setup and A<sub>2</sub>, D<sub>3</sub>, and D<sub>4</sub> are sample size-specific [[Unbiased estimation of standard deviation\|anti-biasing]] constants. The anti-biasing constants are typically found in the appendices of textbooks on [[~~statistical process control]].~~

	As with the [[Xbar and s chart\|<math>\bar x</math> and s]] and [[Shewhart individuals control chart\|individuals control chart]]s, the <math>\bar x</math> chart is only valid if the within-sample variability is constant.<ref>{{Cite book \| last = Montgomery \| first = Douglas \| title = Introduction to Statistical Quality Control \| publisher = [[John Wiley & Sons]], Inc. \| year = 2005 \| location = [[Hoboken, New Jersey]] \| pages = 214 \| url = http://www.~~eas.asu~~.~~edu/~masmlab/montgomery~~/ ~~\| isbn = 978-0-471-65631-9 \| oclc = 56729567}}<~~/~~ref> Thus,~~ the R chart is examined before the <math>\bar x</math> chart; if the R chart indicates the sample variability is in statistical control, then the <math>\bar x</math> chart is examined to determine if the sample mean is also in statistical control. If on the other hand, the sample variability is ''not'' in statistical control, then the entire process is judged to be not in statistical control regardless of what the <math>\bar x</math> chart indicates.

	~~==See also==~~
	*[[Xbar and s chart\|<math>\bar x</math> and s chart]]
	*[[Shewhart individuals control chart]]

	~~==References==~~
	~~{{reflist}}~~

	~~[[Category:Quality control tools]]~~
	~~[[Category:Statistical charts and diagrams]~~]

en>Ohnoitsjamie: further

2014-01-10T15:16:50Z

further

← Older revision		Revision as of 17:16, 10 January 2014
Line 1:		Line 1:
	~~Greetings~~. ~~Allow me begin by telling you~~ the ~~writer~~'s title - ~~Phebe~~. ~~South Dakota~~ is ~~her birth~~ location ~~but she needs~~ to ~~move because~~ of ~~her family members~~. ~~To do aerobics~~ is a ~~factor that I'~~m ~~totally addicted to~~. ~~Managing people is his profession~~.<br><br>~~Here~~ is ~~my blog:~~ [http://~~happywedding~~.~~lonnieheart~~.~~gethompy~~.~~com~~/~~zbxe~~/~~wc_apply~~/~~372747 at home std testing~~]		{{correct title\|<math>\bar x</math> and R chart}}
			{{Infobox control chart
			\| name = <math>\bar x</math> and R chart
			\| proposer = [[Walter A. Shewhart]]
			\| subgroupsize = 1 < n ≤ 10
			\| measurementtype = Average quality characteristic per unit
			\| qualitycharacteristictype = [[Variable and attribute (research)\|Variables data]]
			\| distribution = [[Normal distribution]]
			\| sizeofshift = ≥ 1.5σ
			\| varchart = R chart for a paired xbar and R chart.svg
			\| varcenter = <math>\bar R = \frac {\sum_{i=1}^m max(x_{ij}) - min(x_{ij})}{m}</math>
			\| varupperlimit = <math>D_4 \bar R</math>
			\| varlowerlimit = <math>D_3 \bar R</math>
			\| varstatistic = R<sub>i</sub> = max(x<sub>j</sub>) - min(x<sub>j</sub>)
			\| meanchart = Xbar chart for a paired xbar and R chart.svg
			\| meancenter = <math>\bar x = \frac {\sum_{i=1}^m \sum_{j=1}^n x_{ij}}{mn}</math>
			\| meanlimits = <math>\bar x \pm A_2 \bar R</math>
			\| meanstatistic = <math>\bar x_i = \frac {\sum_{j=1}^n x_{ij}}{n}</math>
			}}

			In [[statistical process control\|statistical quality control]], the '''<math>\bar x</math> and R chart''' is a type of [[control chart]] used to monitor [[Variable and attribute (research)\|variables data]] when samples are collected at regular intervals from a [[Business process\|business]] or [[List of industrial processes\|industrial process]].<ref>{{Cite web\|url=http://www.itl.nist.gov/div898/handbook/pmc/section3/pmc321.htm\|title=Shewhart X-bar and R and S Control Charts\|accessdate=2009-01-13\|work=[http://www.itl.nist.gov/div898/handbook/index.htm NIST/Sematech Engineering Statistics Handbook]\|publisher=[[National Institute of Standards and Technology]]}}</ref>

			The chart is advantageous in the following situations:<ref>{{Cite book \| last = Montgomery \| first = Douglas \| title = Introduction to Statistical Quality Control \| publisher = [[John Wiley & Sons]], Inc. \| year = 2005 \| location = [[Hoboken, New Jersey]] \| pages = 222 \| url = http://www.eas.asu.edu/~masmlab/montgomery/ \| isbn = 978-0-471-65631-9 \| oclc = 56729567}}</ref>
			#The sample size is relatively small (say, n ≤ 10—[[Xbar and s chart\|<math>\bar x</math> and s charts]] are typically used for larger sample sizes)
			#The sample size is constant
			#Humans must perform the calculations for the chart

			The "chart" actually consists of a pair of charts: One to monitor the process standard deviation (as approximated by the sample [[Range (statistics)\|moving range]]) and another to monitor the process mean, as is done with the [[Xbar and s chart\|<math>\bar x</math> and s]] and [[Shewhart individuals control chart\|individuals control chart]]s. The <math>\bar x</math> and R chart plots the mean value for the quality characteristic across all units in the sample, <math>\bar x_i</math>, plus the range of the quality characteristic across all units in the sample as follows:
			:R = x<sub>max</sub> - x<sub>min</sub>.

			The [[normal distribution]] is the basis for the charts and requires the following assumptions:
			*The quality characteristic to be monitored is adequately modeled by a [[Normal distribution\|normally distributed]] [[random variable]]
			*The parameters μ and σ for the random variable are the same for each unit and each unit is independent of its predecessors or successors
			*The inspection procedure is same for each sample and is carried out consistently from sample to sample

			The control limits for this chart type are:<ref>{{Cite book \| last = Montgomery \| first = Douglas \| title = Introduction to Statistical Quality Control \| publisher = [[John Wiley & Sons]], Inc. \| year = 2005 \| location = [[Hoboken, New Jersey]] \| pages = 197 \| url = http://www.eas.asu.edu/~masmlab/montgomery/ \| isbn = 978-0-471-65631-9 \| oclc = 56729567}}</ref>
			*<math>D_3 \bar R</math> (lower) and <math>D_4 \bar R</math> (upper) for monitoring the process variability
			*<math>\bar x \pm A_2 \bar R</math> for monitoring the process mean
			:where <math>\bar x</math> and <math>\bar R = \frac {\sum_{i=1}^m \left ( R_{max} - R_{min} \right )}{m}</math> are the estimates of the long-term process mean and range established during control-chart setup and A<sub>2</sub>, D<sub>3</sub>, and D<sub>4</sub> are sample size-specific [[Unbiased estimation of standard deviation\|anti-biasing]] constants. The anti-biasing constants are typically found in the appendices of textbooks on [[statistical process control]].

			As with the [[Xbar and s chart\|<math>\bar x</math> and s]] and [[Shewhart individuals control chart\|individuals control chart]]s, the <math>\bar x</math> chart is only valid if the within-sample variability is constant.<ref>{{Cite book \| last = Montgomery \| first = Douglas \| title = Introduction to Statistical Quality Control \| publisher = [[John Wiley & Sons]], Inc. \| year = 2005 \| location = [[Hoboken, New Jersey]] \| pages = 214 \| url = http://www.eas.asu.edu/~masmlab/montgomery/ \| isbn = 978-0-471-65631-9 \| oclc = 56729567}}</ref> Thus, the R chart is examined before the <math>\bar x</math> chart; if the R chart indicates the sample variability is in statistical control, then the <math>\bar x</math> chart is examined to determine if the sample mean is also in statistical control. If on the other hand, the sample variability is ''not'' in statistical control, then the entire process is judged to be not in statistical control regardless of what the <math>\bar x</math> chart indicates.

			==See also==
			*[[Xbar and s chart\|<math>\bar x</math> and s chart]]
			*[[Shewhart individuals control chart]]

			==References==
			{{reflist}}

			[[Category:Quality control tools]]
			[[Category:Statistical charts and diagrams]]

en>ShawnMcGraw: /* Examples */

2012-08-30T19:11:25Z

Examples

New page

Greetings. Allow me begin by telling you the writer's title - Phebe. South Dakota is her birth location but she needs to move because of her family members. To do aerobics is a factor that I'm totally addicted to. Managing people is his profession.<br><br>Here is my blog: [http://happywedding.lonnieheart.gethompy.com/zbxe/wc_apply/372747 at home std testing]

← Older revision		Revision as of 01:04, 5 February 2014
Line 1:		Line 1:
	~~{{correct~~ title~~\|<math>\bar x</math> and R chart}}~~		The title of the writer is Figures. North Dakota is where me and my spouse reside. What I adore performing is playing baseball but I haven't made a dime with it. For many years he's been operating as a meter reader and it's some thing he really appreciate.<br><br>Also visit my webpage ... home std test kit ([http://www.animecontent.com/user/D2456 click through the up coming webpage])
	~~{{Infobox control chart~~
	~~\| name = <math>\bar x</math> and R chart~~
	~~\| proposer = [[Walter A. Shewhart]]~~
	~~\| subgroupsize = 1 < n ≤ 10~~
	~~\| measurementtype = Average quality characteristic per unit~~
	~~\| qualitycharacteristictype = [[Variable and attribute (research)\|Variables data]]~~
	~~\| distribution = [[Normal distribution]]~~
	~~\| sizeofshift = ≥ 1.5σ~~
	~~\| varchart = R chart for a paired xbar and R chart.svg~~
	~~\| varcenter = <math>\bar R = \frac {\sum_{i=1}^m max(x_{ij}) - min(x_{ij})}{m}</math>~~
	~~\| varupperlimit = <math>D_4 \bar R</math>~~
	~~\| varlowerlimit = <math>D_3 \bar R</math>~~
	~~\| varstatistic = R<sub>i</sub> = max(x<sub>j</sub>) - min(x<sub>j</sub>)~~
	~~\| meanchart = Xbar chart for a paired xbar and R chart.svg~~
	~~\| meancenter = <math>\bar x = \frac {\sum_{i=1}^m \sum_{j=1}^n x_{ij}}{mn}</math>~~
	~~\| meanlimits = <math>\bar x \pm A_2 \bar R</math>~~
	~~\| meanstatistic = <math>\bar x_i = \frac {\sum_{j=1}^n x_{ij}}{n}</math>~~
	}}

	~~In [[statistical process control\|statistical quality control]],~~ the ~~'''<math>\bar x</math> and R chart'''~~ is a type of [[control chart]] used to monitor [[Variable and attribute (research)\|variables data]] when samples are collected at regular intervals from a [[Business process\|business]] or [[List of industrial processes\|industrial process]].~~<ref>{{Cite web\|url=http://www.itl.nist.gov/div898/handbook/pmc/section3/pmc321.htm\|title=Shewhart X-bar and R~~ and ~~S Control Charts\|accessdate=2009-01-13\|work=[http://www~~.~~itl.nist.gov/div898/handbook/index.htm NIST/Sematech Engineering Statistics Handbook]\|publisher=[[National Institute of Standards and Technology]]}}</ref>~~

	~~The chart~~ is ~~advantageous in the following situations:<ref>{{Cite book \| last = Montgomery \| first = Douglas \| title = Introduction to Statistical Quality Control \| publisher = [[John Wiley & Sons]], Inc~~. ~~\| year = 2005 \| location = [[Hoboken, New Jersey]] \| pages = 222 \| url = http://www.eas.asu.edu/~masmlab/montgomery/ \| isbn = 978-0-471-65631-9 \| oclc = 56729567}}</ref>~~
	~~#The sample size is relatively small (say, n ≤ 10—[[Xbar and~~ s ~~chart\|<math>\bar x</math> and s charts]] are typically used for larger sample sizes)~~
	~~#The sample size is constant~~
	~~#Humans must perform the calculations for the chart~~

	~~The "chart" actually consists of~~ a ~~pair of charts: One to monitor the process standard deviation (as approximated by the sample [[Range (statistics)\|moving range]]) and another to monitor the process mean, as is done with the [[Xbar~~ and s ~~chart\|<math>\bar x</math> and s]] and [[Shewhart individuals control chart\|individuals control chart]]s~~. ~~The~~ <~~math~~>~~\bar x~~<~~/math~~> and R chart plots the mean value for the quality characteristic across all units in the sample, <math>\bar x_i</math>, plus the range of the quality characteristic across all units in the sample as follows:
	~~:R = x<sub>max</sub> - x<sub>min</sub>.~~

	~~The [[normal distribution]] is the basis for the charts and requires the following assumptions:~~
	*The quality characteristic to be monitored is adequately modeled by a [[Normal distribution\|normally distributed]] [[random variable]]
	*The parameters μ and σ for the random variable are the same for each unit and each unit is independent of its predecessors or successors
	*The inspection procedure is same for each sample and is carried out consistently from sample to sample

	~~The control limits for this chart type are:<ref>{{Cite book \| last = Montgomery \| first = Douglas \| title = Introduction to Statistical Quality Control \| publisher = [[John Wiley & Sons]], Inc~~. ~~\| year = 2005 \| location = [[Hoboken, New Jersey]] \| pages = 197 \| url = http://www.eas~~.~~asu~~.~~edu/~masmlab/montgomery/ \| isbn = 978-0-471-65631-9 \| oclc = 56729567}}</ref>~~
	*<math>D_3 \bar R</math> (~~lower) and <math>D_4 \bar R</math> (upper) for monitoring the process variability~~
	*<math>\bar x \pm A_2 \bar R</math> for monitoring the process mean
	:where <math>\bar x</math> and <math>\bar R = \frac {\sum_{i=1}^m \left ( R_{max} - R_{min} \right )}{m}</math> are the estimates of the long-term process mean and range established during control-chart setup and A<sub>2</sub>, D<sub>3</sub>, and D<sub>4</sub> are sample size-specific [[Unbiased estimation of standard deviation\|anti-biasing]] constants. The anti-biasing constants are typically found in the appendices of textbooks on [[~~statistical process control]].~~

	As with the [[Xbar and s chart\|<math>\bar x</math> and s]] and [[Shewhart individuals control chart\|individuals control chart]]s, the <math>\bar x</math> chart is only valid if the within-sample variability is constant.<ref>{{Cite book \| last = Montgomery \| first = Douglas \| title = Introduction to Statistical Quality Control \| publisher = [[John Wiley & Sons]], Inc. \| year = 2005 \| location = [[Hoboken, New Jersey]] \| pages = 214 \| url = http://www.~~eas.asu~~.~~edu/~masmlab/montgomery~~/ ~~\| isbn = 978-0-471-65631-9 \| oclc = 56729567}}<~~/~~ref> Thus,~~ the R chart is examined before the <math>\bar x</math> chart; if the R chart indicates the sample variability is in statistical control, then the <math>\bar x</math> chart is examined to determine if the sample mean is also in statistical control. If on the other hand, the sample variability is ''not'' in statistical control, then the entire process is judged to be not in statistical control regardless of what the <math>\bar x</math> chart indicates.

	~~==See also==~~
	*[[Xbar and s chart\|<math>\bar x</math> and s chart]]
	*[[Shewhart individuals control chart]]

	~~==References==~~
	~~{{reflist}}~~

	~~[[Category:Quality control tools]]~~
	~~[[Category:Statistical charts and diagrams]~~]