x control chart控制图问题请教

Xbar chart
Data plotted        xi
Center line        The center line represents the process average. The default chart usesXbarbar to estimate m.
Lower control limit        The lower control limit (LCL) is the horizontal reference line drawn a specified number of standard deviations below the center line. The formula is:μ-kσ/ni0.5where:ni = size of the ith subgroupk = number of standard deviations from the center line Minitab uses to draw the line. By default, k =3.m =Xbarbars depends on the method you choose to estimate the standard deviation. For a single X chart, an X and R chart, and an X and S chart, the pooled standard deviation is used  by default.
Upper control limit        The upper control limit (UCL) is the horizontal reference line drawn a specified number of standard deviations above the center line. The formula is:μ+kσ/ni**0.5where:ni = size of the ith subgroupk = number of standard deviations from the center line Minitab uses to draw the line. By default, k =3.m = Xbarbar s depends on the method you choose to estimate the standard deviation. For a single X chart, an X and R chart, and an X and S chart, the pooled standard deviation is used  by default.
上述摘自MINITAB14的帮助文件-METHODS AND FORMULAS       
1----minitab中xbar控制图的上控制线为什么不是μ+3σ,下控制线为什么不是μ-3σ,而分别是μ+kσ/ni**0.5和μ-kσ/ni**0.5
2---minitab中bloodsugar(xbar-s)案例的上下控制线按找上述公司计算时也有误差?为什么?我发现xbar-R的案例也有这个问题。
哪为专家能解答?

[ 本帖最后由 herculeswhlee 于 2008-8-29 16:09 编辑 ]
我也来说两句 查看全部回复

最新回复

  • larry (2008-8-29 18:13:54)

    虽然我从来不用minitab,但是我能猜出来你第一个问题想问的意思。
    其实两个公式是一样的,根据中心极限定理即可知。两个公式里面的两个sigma的符号一样,其实含义不一样的。
  • fiters (2008-8-30 09:51:01)

    呵呵.这个问题,似乎没太在意,不能告知楼主了.SORRY...待高手解决吧...
  • herculeswhlee (2008-9-02 08:38:45)

    汗!
    自己看书,基本解决!
    整天瞎忙,好长时间没有看书了