Table 3.
Estimated Type I Error from the Wald Test (α̂ given in %) of Regression Parameter For Covariate X1 or X2 and Interaction With Time From 500 Replicated Samples of 500 Subjects in General Aging and Pre-Diagnostic Phase of Dementia.
| Outcome distribution | Estimated Model | General Aging | Pre-Diagnostic Phase of Dementia Sample | ||||||
|---|---|---|---|---|---|---|---|---|---|
| X1 | X1× ta | X2 | X2 × ta | X1 | X1 × ta | X2 | X2 × ta | ||
| mim-MMSE | Standard LMM | 5.0 | 93.2b | 33.6b | 40.0b | 4.8 | 97.8b | 11.4b | 54.0b |
| Pre-transformed LMM | 3.6 | 40.8b | 7.2b | 13.0b | 4.6 | 42.6b | 6.0 | 13.0b | |
| Beta LMM | 4.4 | 4.6 | 4.0 | 4.2 | 4.4 | 6.2 | 4.6 | 6.0 | |
|
| |||||||||
| mim-BVRT | Standard LMM | 3.2 | 21.4b | 4.4 | 8.6b | 4.6 | 12.2b | 5.4 | 8.6b |
| Beta LMM | 3.8 | 6.0 | 5.4 | 5.0 | 4.6 | 5.0 | 5.0 | 6.6 | |
|
| |||||||||
| mim-IST | Standard LMM | 4.6 | 8.0b | 6.6 | 4.8 | 4.2 | 6.0 | 6.2 | 5.6 |
| Beta LMM | 4.6 | 5.0 | 5.6 | 4.6 | 4.2 | 4.6 | 6.4 | 4.8 | |
|
| |||||||||
| mim-CALC | Standard LMM | 5.0 | 45.6b | 6.4 | 5.2 | 4.2 | 56.4b | 26.0b | 5.6 |
| Threshold LMM | 6.4 | 5.2 | 6.2 | 5.2 | 5.2 | 6.6 | 5.6 | 5.4 | |
Abbreviations: LMM, Linear Mixed Model; mim-BVRT, distribution mimicking Benton Visual Retention Test; mim-CALC, distribution mimicking calculation subscore of MMSE; mim-IST, distribution mimicking Isaacs Set Test; mim-MMSE, distribution mimicking Mini-Mental State Examination; t, Time.
time t corresponds to age in decades from 65 in the general aging sample and years before diagnosis in pre-diagnostic phase of dementia sample.
estimated type I errors (α̂ ) outside the expected 95% interval 3.09, 6.91 around the nominal value of 5%.