xDshewhartrunsrules.arl(spc)
xDshewhartrunsrules.arl()所属R语言包：spc
Compute ARLs of Shewhart control charts with and without runs rules
休哈特控制图的运行规则和计算连串长度
译者：生物统计家园网 机器人LoveR
描述----------Description----------
Computation of the zero-state Average Run Length (ARL) under drift for Shewhart control charts with and without runs rules
零状态的平均运行长度（ARL）在漂移和运行规则的休哈特控制图的计算
用法----------Usage----------
xDshewhartrunsrulesFixedm.arl(delta, c = 1, m = 100, type = "12")
参数----------Arguments----------
参数：delta
true drift parameter.
真正的漂移参数。
参数：c
normalizing constant to ensure specific alarming behavior.
标准化常数，以确保特定的惊人行为。
参数：type
controls the type of Shewhart chart used, seed details section.
控制类型的休哈特图，种子细节部分。
参数：m
parameter of Gan's approach. If m=NULL, then m will increased until the resulting ARL does not change anymore.
甘氏方法的参数。如果m=NULL，然后m将增加，直到产生ARL不会改变了。
Details
详细信息----------Details----------
Based on Gan (1991), the ARL is calculated for Shewhart control charts with and without runs rules under drift. The usual ARL function with mu=m*delta is determined and recursively via m-1, m-2, ... 1 (or 0) the drift ARL determined. xDshewhartrunsrulesFixedm.arl is the actual work horse, while xDshewhartrunsrules.arl provides a convenience wrapper. Note that Aerne et al. (1991) deployed a method that is quite similar to Gan's algorithm. For type see the help page of xshewhartrunsrules.arl.
根据赣（1991），休哈特控制图的ARL计算和运行规则下的漂移。亩=米*增量通常ARL的功能与被确定，并递归地通过m-1，m的-2，... 1（或0）的漂移的ARL确定。 xDshewhartrunsrulesFixedm.arl是实际工作的马，而xDshewhartrunsrules.arl提供了一个方便的包装。请注意，Aerne等。 （1991）部署的方法，甘的算法是非常相似的。对于type“看看的帮助页面中xshewhartrunsrules.arl。
值----------Value----------
Returns a single value which resembles the ARL.
返回一个单一的值，类似于ARL。
（作者）----------Author(s)----------
Sven Knoth
参考文献----------References----------
F. F. Gan (1991), EWMA control chart under linear drift, J. Stat. Comput. Simulation 38, 181-200.
L. A. Aerne, C. W. Champ and S. E. Rigdon (1991), Evaluation of control charts under linear trend, Commun. Stat., Theory Methods 20, 3341-3349.
参见----------See Also----------
xshewhartrunsrules.arl for zero-state ARL computation of Shewhart control charts with and without runs rules for the classical step change model.
xshewhartrunsrules.arl零状态的休哈特控制图的ARL计算阶跃变化的经典模型没有运行规则。
实例----------Examples----------
## Aerne et al. (1991)[＃Aerne等。 （1991）]
## Table I (continued)[＃表（续）]
## original numbers are[＃原来的号码是]
# delta arl1of1 arl2of3 arl4of5 arl10[Deltaarl1of1 arl2of3 arl4of5 arl10]
# 0.005623 136.67 120.90 105.34 107.08[0.005623 136.67 120.90 105.34 107.08]
# 0.007499 114.98 101.23 88.09 89.94[0.007499 114.98 101.23 88.09 89.94]
# 0.010000 96.03 84.22 73.31 75.23[0.010000 96.03 84.22 73.31 75.23]
# 0.013335 79.69 69.68 60.75 62.73[0.013335 79.69 69.68 60.75 62.73]
# 0.017783 65.75 57.38 50.18 52.18[0.017783 65.75 57.38 50.18 52.18]
# 0.023714 53.99 47.06 41.33 43.35[0.023714 53.99 47.06 41.33 43.35]
# 0.031623 44.15 38.47 33.99 36.00[0.031623 44.15 38.47 33.99 36.00]
# 0.042170 35.97 31.36 27.91 29.90[0.042170 35.97 31.36 27.91 29.90]
# 0.056234 29.21 25.51 22.91 24.86[0.056234 29.21 25.51 22.91 24.86]
# 0.074989 23.65 20.71 18.81 20.70[0.074989 23.65 20.71 18.81 20.70]
# 0.100000 19.11 16.79 15.45 17.29[0.100000 19.11 16.79 15.45 17.29]
# 0.133352 15.41 13.61 12.72 14.47[0.133352 15.41 13.61 12.72 14.47]
# 0.177828 12.41 11.03 10.50 12.14[0.177828 12.41 11.03 10.50 12.14]
# 0.237137 9.98 8.94 8.71 10.18[0.237137 9.98 8.94 8.71 10.18]
# 0.316228 8.02 7.25 7.26 8.45[0.316228 8.02 7.25 7.26 8.45]
# 0.421697 6.44 5.89 6.09 6.84[0.421697 6.44 5.89 6.09 6.84]
# 0.562341 5.17 4.80 5.15 5.48[0.562341 5.17 4.80 5.15 5.48]
# 0.749894 4.16 3.92 4.36 4.39[0.749894 4.16 3.92 4.36 4.39]
# 1.000000 3.35 3.22 3.63 3.52[1.000000 3.35 3.22 3.63 3.52]
c1of1 <- 3.069/3
c2of3 <- 2.1494/2
c4of5 <- 1.14
c10 <- 3.2425/3
DxDshewhartrunsrules.arl <- Vectorize(xDshewhartrunsrules.arl, "delta")
deltas <- 10^(-(18:0)/8)
arl1of1 <-
round(DxDshewhartrunsrules.arl(deltas, c=c1of1, type="1"), digits=2)
arl2of3 <-
round(DxDshewhartrunsrules.arl(deltas, c=c2of3, type="12"), digits=2)
arl4of5 <-
round(DxDshewhartrunsrules.arl(deltas, c=c4of5, type="13"), digits=2)
arl10 <-
round(DxDshewhartrunsrules.arl(deltas, c=c10, type="SameSide10"), digits=2)
data.frame(delta=round(deltas, digits=6), arl1of1, arl2of3, arl4of5, arl10)
转载请注明:出自 生物统计家园网(http://www.biostatistic.net)。
注：
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发表于 2012-9-30 14:33:16
