feat(psychometric): recover Driver p.16 asymCINTstd after positive p - #216
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Form strictly positive asymDIFFUSION, then (−κ/a) / √p. Distinct from κ/√p and from discreteCINTstd. The 2017-era source forms asymCINT and does not form an asymCINTstd matrix.
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Folded into the consolidation vehicle #231; this draft stays open until the vehicle merges, then closes as superseded-by-consolidation. |
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Superseded by consolidation: this slice's Driver et al. (2017) standardization recovery landed on protected main through the integration vehicles (#231/#232), and its contract coverage is carried by the reconciled suites (multilevel_event_time_recovery_contract, rubin_and_mean_gate_contract) with test-signature repair tracked in #234. The stacked-draft form is retired to keep the delivery queue at review-ready work only; no capability is lost — the exact-head provenance remains in the vehicle PR descriptions and CHANGELOG. |
Stacked on #213 (
discreteCINTstd). Next unique licensed map on this ancestry is footnote-4 standardisation of 2017-eraasymCINT. Do not duplicate #195CINTstd.TDPREDVARstdis commented out in the 2017-era source and is not recovered.Driver, Oud, and Voelkle (2017, p. 16; Eq. 3, p. 4; footnote 4; Table 2, p. 12; JSS PDF re-opened 2026-08-24T09:05Z) print standardised matrices with the suffix
stdwhen appropriate. Footnote 4 standardises using only the relevant variance.CINTis the process intercept of individual, or average individual, dynamics, so that relevant variance is within-subjectasymDIFFUSIONp = −q / (2 a). The 2017-erasummary.ctsemFit.RformsasymCINTwheneververbose = TRUE:That source does not form an
asymCINTstdmatrix. The scalar map here is the footnote 4 standardisation of that named asymptotic intercept:(-κ / a) / √p.Recovery
recover_standardised_asymptotic_continuous_intercept(κ, q, a, clock)forms strictly positivepfirst, then the asymptotic intercept, then divides by√p.discreteCINTstdand not this map.qfails closed. UnstandardisedasymCINTis defined for a zero process; standardisedasymCINTis not.a ≥ 0fails closed (lastingasymDIFFUSIONrequires stable drift).Claim boundary
asymCINTis notasymCINTstd.κ / √pis the continuous intercept standardisation and is not this total-change map.A^{-1}[e^{A Δt} − I] κ / √pdepends on the event interval and is not thisΔt → ∞map.Meredith (1993) and Mislevy (1991) remain closed (Unpaywall 2026-08-24T08:02Z:
is_oa: false, 0 locations).Do not merge without an independent APPROVE plus exact-head required-check success. Do not self-approve. Do not request Copilot.