Table 2.
Relative Differences in Parameter Estimates: Missing Completely at Random (MAR).
| Rho | N | PM | CAT = 2 |
CAT = 5 |
||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Factor loadings |
Thresholds |
Factor loadings |
Thresholds |
|||||||||||||||
| Missing |
Complete |
Missing |
Complete |
Missing |
Complete |
Missing |
Complete |
|||||||||||
| PD | MI | PD | MI | PD | MI | PD | MI | PD | MI | PD | MI | PD | MI | PD | MI | |||
| 1.0 | 200 | 15 | 21.9 | 2.5 | 3.7 | 0.5 | 43.4 | 3.4 | 0.0 | 0.1 | 13.6 | 0.3 | 2.0 | 0.2 | 45.2 | 1.8 | 0.4 | 0.4 |
| 25 | 33.8 | 3.9 | 3.4 | 1.2 | 69.1 | 6.3 | 0.0 | 0.1 | 24.7 | 1.2 | 7.3 | 0.2 | 70.3 | 3.8 | 1.7 | 1.9 | ||
| 50 | 78.2 | 26.3 | 1.0 | 1.1 | 129.4 | 26.9 | 0.0 | 0.1 | — | — | — | — | — | — | — | — | ||
| 500 | 15 | 21.7 | 3.6 | 3.5 | 0.5 | 42.4 | 4.8 | 0.0 | 0.3 | 13.6 | 0.8 | 2.0 | 0.1 | 44.8 | 1.6 | 0.0 | 0.0 | |
| 25 | 34.2 | 5.5 | 3.0 | 1.1 | 68.0 | 8.5 | 0.0 | 0.3 | 21.1 | 0.7 | 2.7 | 0.1 | 71.2 | 2.7 | 0.1 | 0.1 | ||
| 50 | 75.6 | 3.0 | 0.8 | 3.3 | 128.1 | 18.1 | 0.0 | 0.3 | — | — | — | — | — | — | — | — | ||
| 1,000 | 15 | 21.8 | 3.3 | 3.4 | 0.4 | 42.0 | 4.0 | 0.0 | 0.2 | 13.7 | 0.6 | 1.9 | 0.0 | 44.3 | 1.4 | 0.0 | 0.0 | |
| 25 | 34.5 | 7.3 | 2.8 | 1.0 | 67.0 | 10.2 | 0.0 | 0.2 | 21.1 | 0.6 | 2.6 | 0.1 | 70.1 | 2.4 | 0.0 | 0.0 | ||
| 50 | 72.4 | 15.6 | 0.6 | 3.2 | 126.7 | 36.1 | 0.0 | 0.2 | 48.8 | 1.4 | 4.6 | 0.2 | 136.1 | 7.5 | 0.5 | 0.5 | ||
| 0.9 | 200 | 15 | 21.5 | 3.8 | 3.3 | 0.4 | 42.1 | 4.5 | 0.0 | 0.3 | 13.0 | 0.4 | 1.9 | 0.3 | 39.9 | 1.8 | 0.2 | 0.2 |
| 25 | 34.3 | 6.8 | 2.9 | 1.0 | 66.9 | 9.8 | 0.0 | 0.3 | 20.5 | 1.1 | 3.4 | 0.3 | 61.1 | 3.4 | 0.8 | 0.8 | ||
| 50 | 72.2 | 16.2 | 0.6 | 3.2 | 126.9 | 37.5 | 0.0 | 0.3 | — | — | — | — | — | — | — | — | ||
| 500 | 15 | 19.4 | 2.7 | 2.7 | 0.7 | 37.9 | 3.8 | 0.0 | 0.1 | 12.6 | 0.8 | 1.3 | 0.1 | 39.1 | 1.2 | 0.0 | 0.0 | |
| 25 | 29.5 | 3.7 | 2.2 | 1.4 | 59.8 | 6.4 | 0.0 | 0.1 | 19.6 | 0.8 | 1.7 | 0.2 | 61.5 | 2.3 | 0.0 | 0.0 | ||
| 50 | 74.6 | 24.8 | 1.8 | 1.1 | 111.0 | 19.1 | 0.0 | 0.1 | 49.8 | 2.1 | 6.9 | 0.6 | 116.8 | 11.2 | 0.8 | 0.9 | ||
| 1,000 | 15 | 19.3 | 3.8 | 2.6 | 0.6 | 37.0 | 5.1 | 0.0 | 0.3 | 12.7 | 0.6 | 1.3 | 0.1 | 38.9 | 1.2 | 0.0 | 0.0 | |
| 25 | 30.3 | 5.7 | 1.8 | 1.3 | 58.8 | 8.9 | 0.0 | 0.3 | 19.7 | 0.8 | 1.6 | 0.1 | 60.5 | 2.6 | 0.0 | 0.0 | ||
| 50 | 71.6 | 3.0 | 2.1 | 4.3 | 110.4 | 21.0 | 0.0 | 0.3 | 47.0 | 1.7 | 0.4 | 0.3 | 116.6 | 7.9 | 0.1 | 0.1 | ||
| 0.8 | 200 | 15 | 19.6 | 3.3 | 2.4 | 0.5 | 36.9 | 4.0 | 0.0 | 0.2 | 11.3 | 0.5 | 0.8 | 0.3 | 34.5 | 1.6 | 0.1 | 0.1 |
| 25 | 30.7 | 7.6 | 1.6 | 1.1 | 58.0 | 10.7 | 0.0 | 0.2 | 18.0 | 0.9 | 1.5 | 0.3 | 52.8 | 2.5 | 0.6 | 0.5 | ||
| 50 | 69.1 | 15.8 | 2.0 | 4.0 | 109.0 | 36.5 | 0.0 | 0.2 | — | — | — | — | — | — | — | — | ||
| 500 | 15 | 19.2 | 3.9 | 2.4 | 0.5 | 36.8 | 4.7 | 0.0 | 0.3 | 11.3 | 1.0 | 0.7 | 0.1 | 33.9 | 1.5 | 0.0 | 0.0 | |
| 25 | 30.5 | 6.9 | 1.6 | 1.1 | 58.0 | 10.0 | 0.0 | 0.3 | 17.9 | 1.1 | 0.7 | 0.2 | 52.9 | 1.9 | 0.0 | 0.0 | ||
| 50 | 69.1 | 16.4 | 2.1 | 3.9 | 109.0 | 37.4 | 0.0 | 0.3 | 46.4 | 2.3 | 0.6 | 0.6 | 100.4 | 10.2 | 0.5 | 0.6 | ||
| 1,000 | 15 | 16.8 | 2.8 | 2.0 | 0.9 | 32.6 | 4.1 | 0.0 | 0.1 | 11.5 | 0.6 | 0.6 | 0.1 | 33.7 | 1.0 | 0.0 | 0.0 | |
| 25 | 25.5 | 3.3 | 1.1 | 1.7 | 51.4 | 6.2 | 0.0 | 0.1 | 18.0 | 0.9 | 0.6 | 0.1 | 52.1 | 2.6 | 0.0 | 0.0 | ||
| 50 | 71.1 | 26.0 | 3.8 | 0.4 | 94.8 | 15.4 | 0.0 | 0.1 | 46.0 | 1.7 | 2.1 | 0.4 | 99.6 | 7.6 | 0.0 | 0.0 | ||
| 0.7 | 200 | 15 | 17.0 | 3.7 | 1.7 | 0.7 | 32.2 | 5.0 | 0.0 | 0.3 | 10.3 | 0.5 | 0.6 | 0.3 | 29.5 | 1.5 | 0.1 | 0.1 |
| 25 | 26.7 | 5.3 | 0.6 | 1.5 | 50.8 | 8.6 | 0.0 | 0.3 | 16.3 | 1.3 | 0.6 | 0.3 | 45.1 | 3.1 | 0.3 | 0.3 | ||
| 50 | 68.0 | 5.5 | 4.2 | 5.5 | 94.4 | 22.0 | 0.0 | 0.3 | 45.4 | 3.8 | 6.5 | 1.0 | 82.1 | 13.3 | 1.9 | 2.0 | ||
| 500 | 15 | 17.3 | 3.1 | 1.5 | 0.6 | 32.0 | 3.9 | 0.0 | 0.2 | 10.0 | 1.1 | 0.2 | 0.1 | 29.0 | 1.7 | 0.0 | 0.0 | |
| 25 | 27.0 | 7.3 | 0.3 | 1.2 | 50.1 | 10.2 | 0.0 | 0.2 | 16.1 | 1.2 | 0.4 | 0.2 | 44.8 | 1.7 | 0.0 | 0.0 | ||
| 50 | 65.5 | 15.3 | 4.3 | 4.8 | 93.3 | 36.4 | 0.0 | 0.2 | 44.8 | 1.9 | 3.4 | 0.7 | 84.7 | 9.3 | 0.2 | 0.3 | ||
| 1000 | 15 | 16.9 | 3.8 | 1.5 | 0.5 | 32.0 | 4.6 | 0.0 | 0.3 | 10.1 | 0.6 | 0.2 | 0.1 | 28.7 | 0.9 | 0.0 | 0.0 | |
| 25 | 26.8 | 6.7 | 0.3 | 1.2 | 50.1 | 9.7 | 0.0 | 0.3 | 16.2 | 1.0 | 0.5 | 0.1 | 44.1 | 2.4 | 0.0 | 0.0 | ||
| 50 | 65.5 | 16.0 | 4.4 | 4.4 | 93.4 | 36.6 | 0.0 | 0.3 | 45.4 | 1.7 | 4.2 | 0.4 | 83.9 | 6.9 | 0.0 | 0.0 | ||
| 0.6 | 200 | 15 | 14.4 | 2.4 | 1.1 | 0.9 | 27.9 | 4.0 | 0.0 | 0.1 | 8.5 | 0.6 | 0.8 | 0.4 | 25.0 | 1.6 | 0.1 | 0.1 |
| 25 | 21.8 | 3.0 | 0.1 | 2.0 | 43.8 | 6.0 | 0.0 | 0.1 | 14.3 | 1.8 | 0.7 | 0.2 | 38.1 | 3.1 | 0.2 | 0.2 | ||
| 50 | 67.1 | 24.6 | 5.6 | 2.1 | 80.4 | 11.0 | 0.0 | 0.1 | 41.0 | 5.1 | 1.4 | 1.1 | 67.7 | 10.2 | 1.2 | 1.2 | ||
| 500 | 15 | 14.8 | 3.5 | 0.8 | 0.7 | 27.5 | 5.0 | 0.0 | 0.3 | 8.6 | 1.1 | 0.9 | 0.1 | 24.3 | 1.5 | 0.0 | 0.0 | |
| 25 | 23.1 | 4.8 | 0.7 | 1.6 | 43.1 | 8.0 | 0.0 | 0.3 | 14.3 | 1.4 | 1.5 | 0.2 | 37.4 | 1.7 | 0.0 | 0.0 | ||
| 50 | 63.8 | 8.1 | 6.3 | 6.1 | 79.5 | 22.7 | 0.0 | 0.3 | 44.0 | 1.6 | 5.9 | 0.7 | 70.5 | 8.9 | 0.2 | 0.2 | ||
| 1,000 | 15 | 21.9 | 2.5 | 3.7 | 0.5 | 43.4 | 3.4 | 0.0 | 0.1 | 8.7 | 0.6 | 1.0 | 0.1 | 24.1 | 0.8 | 0.0 | 0.0 | |
| 25 | 33.8 | 3.9 | 3.4 | 1.2 | 69.1 | 6.3 | 0.0 | 0.1 | 14.3 | 0.9 | 1.6 | 0.2 | 36.8 | 2.1 | 0.0 | 0.0 | ||
| 50 | 78.2 | 26.3 | 1.0 | 1.1 | 129.4 | 26.9 | 0.0 | 0.1 | 44.8 | 1.7 | 6.3 | 0.4 | 69.8 | 6.5 | 0.0 | 0.0 | ||
Note. Rho = interfactor correlation; N = sample size; PM = percentage of missingness; CAT = number of categories; PD = pairwise deletion; MI = multiple imputation. Conditions with less than 50% of completed replications were excluded from the table.