feat(psychometric): recover Driver p.16 MANIFESTTRAITVARstd after positive Ψ_τ - #208
Draft
seonghobae wants to merge 2 commits into
Conversation
…itive Ψ_τ Map indicator-level MANIFESTTRAITVAR through 2017-era summary.ctsemFit.R as solve(sqrt(diag(MANIFESTTRAITVAR))) %&% MANIFESTTRAITVAR after strictly positive ψ. OpenMx %&% is t(A)%*%B%*%A; unlike TRAITVARstd the 2017-era source adds ridging and the default ridge is 0. The scalar correlation is ψ/ψ = 1. Refuse unstandardised MANIFESTTRAITVAR, TRAITVARstd even when both equal 1, and MANIFESTVAR. MANIFESTTRAITVAR does not require a<0.
|
Important Draft PR not reviewedDraft PRs are not automatically reviewed by default.
To automatically review draft PRs, update your CodeRabbit configuration: reviews:
auto_review:
drafts: trueThanks for using CodeRabbit! It's free for OSS, and your support helps us grow. If you like it, consider giving us a shout-out. Comment |
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
1 participant
Add this suggestion to a batch that can be applied as a single commit.This suggestion is invalid because no changes were made to the code.Suggestions cannot be applied while the pull request is closed.Suggestions cannot be applied while viewing a subset of changes.Only one suggestion per line can be applied in a batch.Add this suggestion to a batch that can be applied as a single commit.Applying suggestions on deleted lines is not supported.You must change the existing code in this line in order to create a valid suggestion.Outdated suggestions cannot be applied.This suggestion has been applied or marked resolved.Suggestions cannot be applied from pending reviews.Suggestions cannot be applied on multi-line comments.Suggestions cannot be applied while the pull request is queued to merge.Suggestion cannot be applied right now. Please check back later.
Stacked on #207 (
TRAITVARstd). Next licensed 2017-erasummary.ctsemFit.Rstd after the trait matrices isMANIFESTTRAITVARstd.Driver, Oud, and Voelkle (2017, Table 2, p. 12
MANIFESTTRAITVARΨ_τ; §7.1, p. 19; p. 16 suffixstd; footnote 4; JSS PDF re-opened 2026-08-23T22:28Z) name manifest traits stable individual differences in indicator levels, distinct from process-levelTRAITVAR. The 2017-era source formsMANIFESTTRAITVARstdonly whenMANIFESTTRAITVAR != 0:OpenMx%&%ist(A) %*% B %*% A. UnlikeTRAITVARstd, the 2017-era source does adddiag(c(ridging)). The defaultridging = FALSEadds 0, not0.0001; that ridge is a numerical hack and is not this exact map. Scalar map after strictly positiveMANIFESTTRAITVARisψ / ψ = 1.Recovery
recover_standardised_manifest_trait_variance(ψ, clock)forms strictly positiveψ, then1/√ψ, then the quadratic.ψrecover the same 1 (to_bitsequal).MANIFESTTRAITVARfails closed (2017-era source skips formingMANIFESTTRAITVARstd).MANIFESTTRAITVARdoes not requirea < 0.Claim boundary
MANIFESTTRAITVARis notMANIFESTTRAITVARstd.TRAITVARstdis notMANIFESTTRAITVARstdeven when both equal 1 (process-level vs indicator-level).MANIFESTVARθis notMANIFESTTRAITVARstd.Meredith (1993) and Mislevy (1991) remain closed (Unpaywall 2026-08-23T22:21Z:
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.