spc_xbar_r — SPC chart op

• 数据种类:matrix → table

• 调用: import fullseye as fs; fs.ledger.spc_xbar_r(subgroups)(要直接调用实现,import spc; spc.spc_xbar_r(subgroups);从台账取用则 opsspc.get("spc_xbar_r"))

用法

> 该算子的说明尚无译文,以下照原文给出。

Shewhart Xbar-R control chart from subgroup measurements.

`subgroups is a 2-D array of shape (m, n) — m subgroups of n`

measurements each, `2 <= n <= 10` (the range chart is only calibrated for

small subgroups). For each subgroup `j` the plotted statistics are the mean

`Xbar_j and the range R_j = max - min`. The centre lines are the grand

mean `Xbarbar and the mean range Rbar`, and with the ISO 8258 constants

`(A2, D3, D4) for that n`::

xbar_ucl = Xbarbar + A2*Rbar xbar_lcl = Xbarbar - A2*Rbar

r_ucl = D4*Rbar r_lcl = D3*Rbar

Returns a dict (a "table") with the per-subgroup `xbar / r` arrays, the

six limits and three centre lines, the integer indices `out_of_control` of

subgroups outside either chart, and `in_control` (True when that list is

empty). The constants are fixed by `n: for n=5` they are exactly

`A2=0.577, D3=0.000, D4=2.115` (pinned in the tests).

Raises `ValueError`: a non-2-D / empty *subgroups*, a subgroup size

outside `[2, 10]`, or non-finite / mislabelled input.

参考(示例数据・文献)

• 示例数据目录(下载 URL / 许可证) —— 2-D 用 skimage.data(BSD/公有领域)加合成图,3-D 给出真实数据源(Stanford/PDS 等)的下载 URL。

• 算子来历与参考文献 —— 该算子族所依据的研究/方法出处。

• 算法的正典(作者・年份)与用途见上面的族使用指南。

可运行的示例(实际调用该算子并已验证的样例)

• poc_spc — py -3.11 examples/poc_spc.py

类型可衔接的下一个算子(可接受 table 作为输入)

—

同类别(chart)

—

*Provenance: spc.py — SPC 算子登记表。本条目由 tools/opdocs.py md 自动生成(请勿手工编辑)。*

© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.