Forge Ecosystem
Calibration Certificate
Analytical Instrument Verification Against R
This certificate is 11 days old and the calibration runs
weekly, so at least one run has not reached this page. The verdict below
describes the engine as it was on the issue date rather than as it is now.
Certificate ID
CAL-20260812-170851
Issued
Aug 12, 2026 · 11d ago
Authority
R Statistical Computing Environment
Verdict
CALIBRATED
CALIBRATED
105 / 105 checks passed
across 4 packages —
100% 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.
Section 2
Instrument Verification Results
forgespc 28/28 PASS
| Case | Check | Expected | Actual | Result |
|---|---|---|---|---|
| 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
| Case | Check | Expected | Actual | Result |
|---|---|---|---|---|
| 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 22/22 PASS
| Case | Check | Expected | Actual | Result |
|---|---|---|---|---|
| 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_axial_points | 6 | 6 | PASS |
| CAL-R-DOE-004 | n_factors | 3 | 3 | PASS |
| CAL-R-DOE-004 | n_corner_points | 0 | 0 | PASS |
| CAL-R-DOE-004 | n_levels_per_factor | 3 | 3 | PASS |
| CAL-R-DOE-004 | n_noncentre_points | 12 | 12 | PASS |
| CAL-R-DOE-004 | columns_balanced | 1 | 1 | PASS |
| CAL-R-DOE-005 | n_factors | 7 | 7 | PASS |
| CAL-R-DOE-005 | columns_orthogonal | 1 | 1 | PASS |
| CAL-R-DOE-005 | columns_balanced | 1 | 1 | PASS |
| CAL-R-DOE-005 | n_runs_multiple_of_4 | 1 | 1 | PASS |
| CAL-R-DOE-005 | n_runs_covers_factors | 1 | 1 | 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 15/15 PASS
| Case | Check | Expected | Actual | Result |
|---|---|---|---|---|
| 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 | 0.61875 | PASS |
| CAL-R-REL-003 | survival_at_6 | [0.3, 0.9] | 0.61875 | PASS |
| 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 |
Section 3
An Implementation You Can Run
The reference cases in Section 1 are R output. They are not specific to the packages in Section 2, and anything can be measured against them.
svendR implements control charts, capability indices and gage studies in R, under the MIT license, and is checked against those same reference files. The source is public and the checks run on every commit, so the counts live there rather than on this page.
remotes::install_github("ewolters/svendR")
Everything above is a report. This is the same arithmetic in a package you can install and disagree with — github.com/ewolters/svendR.
