[jaspFactor] Add correlation matrix determinant as an assumption check output...

[sisyphus-jasp]

Summary

Fixes: jasp-stats/jasp-issues#3956

Root cause

• EFA assumption checks had no option/output path for correlation matrix determinant.
• Missing in both UI options (PcaEfaOutputOptions.qml) and backend builders (exploratoryfactoranalysis.R).

What changed

• Added new EFA-only checkbox option: correlationMatrixDeterminant under Assumption checks.
• Added new backend builder .efaCorrelationDeterminant(...) and wired it into exploratoryFactorAnalysisInternal().
• New table key: determinantTable, title Correlation Matrix Determinant, column Determinant.
• Determinant uses correlation matrix aligned with current analysis mode:
  • poly/tetrachoric: psych::mixedCor(... )$rho
  • raw: stats::cor(..., use = "pairwise.complete.obs")
  • variance-covariance input: stats::cov2cor(...)

Caveats / reviewer checks

• QML option is EFA-only (visible: !pca) in shared PCA/EFA options component.
• testAll() result after change matches baseline: [ FAIL 0 | WARN 0 | SKIP 13 | PASS 132 ].
• Repro rerun confirms: option OFF => no determinant table; option ON => determinant table present.

Implementation Plan

Root cause

• EFA assumption checks currently expose only KMO, Bartlett, Mardia, and anti-image outputs.
• No QML option exists for correlation matrix determinant, and no R builder computes/displays it in R/exploratoryfactoranalysis.R.

Proposed changes

• inst/qml/common/PcaEfaOutputOptions.qml
  • Add a new assumption-check checkbox for EFA only (visible: !pca) to request correlation matrix determinant output.
• R/exploratoryfactoranalysis.R
  • Add a new output builder (table) for the determinant.
  • Compute determinant from the matrix that matches current EFA decomposition base:
    • poly/tetrachoric: determinant of psych::mixedCor(... )$rho
    • raw data: determinant of stats::cor(dataset, use = "pairwise.complete.obs")
    • variance-covariance input: determinant of stats::cov2cor(as.matrix(dataset))
  • Register this builder in exploratoryFactorAnalysisInternal() with other assumption checks.
  • Use translated title/labels via gettext().

Expected test impact

• Existing tests should still pass because the new option default is FALSE.
• No snapshot change expected unless tests explicitly enable the new option.

Add correlation matrix determinant as an assumption check output option in EFA analysis

Test Results

Test Run	Result
Baseline (pre-fix)	[ FAIL 0 | WARN 0 | SKIP 13 | PASS 132 ]
Post-fix	[ FAIL 0 | WARN 0 | SKIP 13 | PASS 132 ]
Upstream CI	e71f5ad -- CI: failing

Automated Code Review

Approved after 1 review iteration(s).