Forge Ecosystem

Calibration Certificate

Analytical Instrument Verification Against R
Certificate ID
CAL-20260806-200932
Issued
Aug 6, 2026
Authority
R Statistical Computing Environment
Verdict
NOT CALIBRATED
NOT CALIBRATED
95 / 99 checks passed across 4 packages — 96% pass rate
Section 1

Reference Authority

Every check below compares a Forge function against a value computed independently in R. The reference is not ours: R is the authority, the comparison is mechanical, and a package is reported as calibrated only when every one of its checks matches.

forgespc
qcc
forgestat
base R (t.test, aov, cor.test, chisq.test, lm)
forgedoe
FrF2, rsm, DoE.base
forgerel
WeibullR, survival
Section 2

Instrument Verification Results

forgespc 28/28 PASS
CaseCheckExpectedActualResult
CAL-R-SPC-001 center 50.1371736696 50.13717366962667 PASS
CAL-R-SPC-001 sigma 2.4892966673 2.489296667333086 PASS
CAL-R-SPC-001 ucl 57.6050636716 57.60506367162593 PASS
CAL-R-SPC-001 lcl 42.6692836676 42.66928366762741 PASS
CAL-R-SPC-001 mr_bar 2.8079266407 2.8079266407517225 PASS
CAL-R-SPC-002 xbar_center 25.0904059086 25.090405908631 PASS
CAL-R-SPC-002 xbar_ucl 26.3421882398 26.342618562793284 PASS
CAL-R-SPC-002 xbar_lcl 23.8386235775 23.838193254468713 PASS
CAL-R-SPC-002 r_bar 2.1702125722 2.170212572205 PASS
CAL-R-SPC-002 r_ucl 4.5888487058 4.58782937764137 PASS
CAL-R-SPC-002 sigma 0.93302346183 0.9333442056641017 PASS
CAL-R-SPC-003 cp 1.6383881956 1.6383881955796236 PASS
CAL-R-SPC-003 cpk 1.6277338176 1.627733817562774 PASS
CAL-R-SPC-003 cpl 1.6490425736 1.6490425735964729 PASS
CAL-R-SPC-003 cpu 1.6277338176 1.627733817562774 PASS
CAL-R-SPC-003 sigma_level 6.3832014527 6.383201452688322 PASS
CAL-R-SPC-003 cp 1 1.6383881955796236 PASS
CAL-R-SPC-003 cpk 1 1.627733817562774 PASS
CAL-R-SPC-004 p_bar 0.0485 0.0485 PASS
CAL-R-SPC-004 ucl 0.11294608212 0.11294608211520697 PASS
CAL-R-SPC-004 lcl 0 0 PASS
CAL-R-SPC-005 c_bar 8.32 8.32 PASS
CAL-R-SPC-005 ucl 16.9733230611 16.973323061113575 PASS
CAL-R-SPC-005 lcl 0 0 PASS
CAL-R-SPC-006 cp 2.3092053663 2.3092053663261556 PASS
CAL-R-SPC-006 cpk 2.3068564167 2.3068564167367143 PASS
CAL-R-SPC-006 cp 1.5 2.3092053663261556 PASS
CAL-R-SPC-006 cpk 1.5 2.3068564167367143 PASS
forgestat 40/40 PASS
CaseCheckExpectedActualResult
CAL-R-STAT-001 t_statistic 23.004190294 23.004190294038548 PASS
CAL-R-STAT-001 p_value 0.0000000026341656622 0.000000002634165662214712 PASS
CAL-R-STAT-001 cohens_d 7.2745637057 7.274563705710036 PASS
CAL-R-STAT-001 df 9 9.0 PASS
CAL-R-STAT-001 mean 12.1 12.1 PASS
CAL-R-STAT-001 p_value 0.001 0.000000002634165662214712 PASS
CAL-R-STAT-002 t_statistic -11.9828937903 -11.982893790305562 PASS
CAL-R-STAT-002 p_value 0.0000000095261601245 0.000000009526160124455426 PASS
CAL-R-STAT-002 df 14 14.0 PASS
CAL-R-STAT-002 p_value 0.001 0.000000009526160124455426 PASS
CAL-R-STAT-003 t_statistic -28.0909090909 -28.090909090909097 PASS
CAL-R-STAT-003 p_value 0.00000000044630139097 0.00000000044630139096820673 PASS
CAL-R-STAT-003 mean_diff -2.06 -2.06 PASS
CAL-R-STAT-003 p_value 0.05 0.00000000044630139096820673 PASS
CAL-R-STAT-004 f_statistic 200 200.0 PASS
CAL-R-STAT-004 p_value 0.00000000061052602312 0.000000000610526023122384 PASS
CAL-R-STAT-004 ss_between 1000 1000.0 PASS
CAL-R-STAT-004 ss_within 30 30.0 PASS
CAL-R-STAT-004 eta_squared 0.97087378641 0.970873786407767 PASS
CAL-R-STAT-004 eta_squared 0.9 0.970873786407767 PASS
CAL-R-STAT-005 r 0.99967567197 0.9996756719722193 PASS
CAL-R-STAT-005 p_value 0.000000000000048389033443 0.00000000000004838903344294005 PASS
CAL-R-STAT-005 t_statistic 111.0278921042 111.02789210421324 PASS
CAL-R-STAT-005 r 0.99 0.9996756719722193 PASS
CAL-R-STAT-006 chi_sq 14.5502645503 14.55026455026455 PASS
CAL-R-STAT-006 p_value 0.0006925485077 0.0006925485077024107 PASS
CAL-R-STAT-006 df 2 2.0 PASS
CAL-R-STAT-006 cramers_v 0.24124895482 0.24124895481858197 PASS
CAL-R-STAT-007 U_statistic 0 0.0 PASS
CAL-R-STAT-007 p_value 0.012185780355 0.007936507936507936 PASS
CAL-R-STAT-007 p_value 0.05 0.007936507936507936 PASS
CAL-R-STAT-008 H_statistic 12.5 12.5 PASS
CAL-R-STAT-008 p_value 0.0019304541362 0.0019304541362277095 PASS
CAL-R-STAT-008 df 2 2.0 PASS
CAL-R-STAT-008 p_value 0.01 0.0019304541362277095 PASS
CAL-R-STAT-009 intercept 2.3214286497 2.321428649653678 PASS
CAL-R-STAT-009 slope 2.5590345531 2.5590345531334595 PASS
CAL-R-STAT-009 r_squared 0.99599710694 0.995997106944572 PASS
CAL-R-STAT-009 f_statistic 4478.7476648536 4478.747664939835 PASS
CAL-R-STAT-009 r_squared 0.95 0.995997106944572 PASS
forgedoe 14/16 FAIL
CaseCheckExpectedActualResult
CAL-R-DOE-001 n_runs 8 8 PASS
CAL-R-DOE-001 n_factors 3 3 PASS
CAL-R-DOE-002 n_runs 16 16 PASS
CAL-R-DOE-002 n_factors 5 5 PASS
CAL-R-DOE-003 n_factorial 8 8 PASS
CAL-R-DOE-003 n_factors 3 3 PASS
CAL-R-DOE-003 n_runs 14 19 PASS
CAL-R-DOE-004 n_runs 14 15 FAIL
CAL-R-DOE-004 n_factors 3 3 PASS
CAL-R-DOE-005 n_runs 12 8 FAIL
CAL-R-DOE-005 n_factors 7 7 PASS
CAL-R-DOE-006 intercept 9.8993348025 9.899334802518881 PASS
CAL-R-DOE-006 beta_x1 2.7877890838 2.7877890837551504 PASS
CAL-R-DOE-006 beta_x2 -1.8174936811 -1.8174936810700641 PASS
CAL-R-DOE-006 r_squared 0.95517443665 0.9551744366466205 PASS
CAL-R-DOE-006 r_squared 0.9 0.9551744366466205 PASS
forgerel 13/15 FAIL
CaseCheckExpectedActualResult
CAL-R-REL-001 beta 1.9566883505 1.9589 PASS
CAL-R-REL-001 eta 87.4514451834 87.51 PASS
CAL-R-REL-001 beta [1.5, 4] 1.9589 PASS
CAL-R-REL-001 eta [70, 140] 87.51 PASS
CAL-R-REL-002 beta 2.0728455401 2.0728 PASS
CAL-R-REL-002 eta 508.8229008575 508.82 PASS
CAL-R-REL-002 beta [1, 3.5] 2.0728 PASS
CAL-R-REL-002 eta [300, 800] 508.82 PASS
CAL-R-REL-003 survival_at_6 0.61875 — FAIL
CAL-R-REL-003 survival_at_6 [0.3, 0.9] — FAIL
CAL-R-REL-004 mtbf_point 2000 2000.0 PASS
CAL-R-REL-004 mtbf_lower 1092.4760161528 1092.48 PASS
CAL-R-REL-004 mtbf_upper 5075.7567659441 5075.76 PASS
CAL-R-REL-004 mtbf_upper 2000 5075.76 PASS
CAL-R-REL-004 mtbf_lower 2000 1092.48 PASS
This certificate was generated by ForgeCal against R
Reference values computed by R Statistical Computing Environment
CAL-20260806-200932 — issued 2026-08-06T20:09:32.642189+00:00