|
274 | 274 | % effects are shrunken toward zero, while stable effects survive the |
275 | 275 | % penalty. This "Partial Pooling" ensures that Bayes factors are |
276 | 276 | % appropriately conservative without the catastrophic loss of power |
277 | | -% associated with classical post-hoc adjustments [8, 9]. |
| 277 | +% associated with classical post-hoc adjustments [8, 9]. See later section |
| 278 | +% on STATISTICAL INFERENCE AND ERROR CONTROL. |
278 | 279 | % |
279 | 280 | % PREDICTIVE OPTIMIZATION: |
280 | 281 | % The ridge tuning constant (hyperparameter) is selected empirically by |
|
443 | 444 | % credibility intervals, and prior standard deviations are reported |
444 | 445 | % directly on the original coefficient scale for ease of interpretation. |
445 | 446 | % |
| 447 | +% STATISTICAL INFERENCE AND ERROR CONTROL: |
| 448 | +% Inference is provided via three complementary metrics: Credibility |
| 449 | +% Intervals (CIs), Bayes Factors (BFs), and Stability Selection (SS) |
| 450 | +% probabilities. Conditioned on a bootstrap-optimized ridge penalty, these |
| 451 | +% statistics exhibit superior control over Type M (magnitude) and Type S |
| 452 | +% (sign) errors relative to unpenalized estimators. The inherent shrinkage |
| 453 | +% provides some protection against Family-Wise Error Rate (FWER) inflation |
| 454 | +% for CIs and BFs, maintaining conservative global error control in |
| 455 | +% multiple testing contexts without explicit post-hoc adjustments. |
| 456 | +% Conversely, SS probabilities prioritize statistical power in sparse or |
| 457 | +% low signal-to-noise ratio (SNR) settings; while SS maintains marginal |
| 458 | +% error control at alpha, it lacks the intrinsic FWER protection afforded |
| 459 | +% by shrinkage when interpreting multiple simultaneous inferences. |
| 460 | +% |
446 | 461 | % See also: `bootstrp`, `boot`, `bootlm`, `bootbayes` and `bootwild`. |
447 | 462 | % |
448 | 463 | % Bibliography: |
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