chart op• Data kinds: matrix → table
• Call: import fullseye as fs; fs.ledger.spc_xbar_r(subgroups) (implementation को सीधे call करना हो तो import spc; spc.spc_xbar_r(subgroups), registry से लेना हो तो opsspc.get("spc_xbar_r"))
subgroup measurements से Shewhart Xbar-R control chart।
> नीचे का विस्तृत विवरण मूल text में है — सारांश और headings का अनुवाद हो चुका है।
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.
• Sample data catalog (DL URL / license) — 2-D के लिए skimage.data (BSD/public) + synthetic, 3-D के लिए real data sources (Stanford/PDS आदि) के DL URL।
• Operators का स्रोत और संदर्भ — इस op family के मूल research/methods के स्रोत।
• Algorithm का मानक स्रोत (लेखक, वर्ष) और उपयोग ऊपर की family usage guide में दिए गए हैं।
• poc_spc — py -3.11 examples/poc_spc.py
table को input के रूप में लेते हैं)msa_anova_table · msa_gauge_rr · msa_bias_linearity · msa_attribute_agreement · gum_standard_uncertainty · gum_propagate · gum_expanded · gum_monte_carlo
chart)—
*Provenance: spc.py — SPC operator registry. यह per-op note tools/opdocs.py md से अपने-आप generate होता है (हाथ से edit न करें)।*
© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.