Table 5.
The Behavior of WRMR Under Missing Data.
| Rho | N | PM | CAT = 2 |
CAT = 5 |
||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| C | MCAR |
MAR |
C | MCAR |
MAR |
|||||||
| PD | MI | PD | MI | PD | MI | PD | MI | |||||
| 1.0 | 200 | 15 | 0.66 | 0.66 | 0.74 | 0.85 | 0.74 | 0.50 | 0.51 | 0.57 | 0.62 | 0.56 |
| 25 | 0.66 | 0.67 | 0.8 | 0.94 | 0.87 | 0.50 | 0.51 | 0.63 | 0.74 | 0.62 | ||
| 50 | 0.66 | 0.68 | 1.02 | 1.05 | 1.53 | 0.50 | 0.53 | 0.82 | — | — | ||
| 500 | 15 | 0.65 | 0.65 | 0.73 | 0.98 | 0.74 | 0.49 | 0.50 | 0.56 | 0.70 | 0.55 | |
| 25 | 0.65 | 0.66 | 0.8 | 1.13 | 0.87 | 0.49 | 0.50 | 0.61 | 0.90 | 0.61 | ||
| 50 | 0.65 | 0.67 | 1.04 | 1.24 | 1.66 | 0.49 | 0.52 | 0.80 | — | — | ||
| 1,000 | 15 | 0.65 | 0.65 | 0.73 | 1.17 | 0.74 | 0.49 | 0.49 | 0.55 | 0.83 | 0.55 | |
| 25 | 0.65 | 0.66 | 0.8 | 1.38 | 0.87 | 0.49 | 0.50 | 0.61 | 1.14 | 0.60 | ||
| 50 | 0.65 | 0.66 | 1.03 | 1.42 | 1.64 | 0.49 | 0.51 | 0.79 | 1.74 | 0.79 | ||
| 0.9 | 200 | 15 | 0.70 | 0.7 | 0.78 | 0.96 | 0.79 | 0.59 | 0.59 | 0.65 | 0.80 | 0.64 |
| 25 | 0.70 | 0.7 | 0.84 | 1.06 | 0.91 | 0.59 | 0.59 | 0.71 | 0.94 | 0.70 | ||
| 50 | 0.70 | 0.71 | 1.07 | 1.17 | 1.55 | 0.59 | 0.58 | 0.88 | — | — | ||
| 500 | 15 | 0.75 | 0.74 | 0.83 | 1.2 | 0.8 | 0.69 | 0.67 | 0.73 | 1.05 | 0.74 | |
| 25 | 0.75 | 0.73 | 0.88 | 1.35 | 0.91 | 0.69 | 0.66 | 0.77 | 1.27 | 0.78 | ||
| 50 | 0.75 | 0.72 | 1.1 | 1.44 | 1.66 | 0.69 | 0.63 | 0.93 | 1.69 | 0.92 | ||
| 1,000 | 15 | 0.82 | 0.81 | 0.89 | 1.53 | 0.86 | 0.83 | 0.81 | 0.87 | 1.37 | 0.87 | |
| 25 | 0.82 | 0.8 | 0.95 | 1.74 | 0.94 | 0.83 | 0.78 | 0.90 | 1.69 | 0.90 | ||
| 50 | 0.82 | 0.77 | 1.15 | 1.76 | 1.62 | 0.83 | 0.73 | 1.04 | 2.25 | 1.01 | ||
| 0.8 | 200 | 15 | 0.80 | 0.79 | 0.88 | 1.08 | 0.88 | 0.79 | 0.77 | 0.83 | 1.01 | 0.83 |
| 25 | 0.80 | 0.79 | 0.94 | 1.17 | 1 | 0.79 | 0.75 | 0.88 | 1.15 | 0.89 | ||
| 50 | 0.80 | 0.77 | 1.14 | 1.28 | 1.6 | 0.79 | 0.70 | 1.02 | — | — | ||
| 500 | 15 | 0.96 | 0.93 | 1.02 | 1.43 | 0.98 | 1.06 | 1.01 | 1.08 | 1.42 | 1.10 | |
| 25 | 0.96 | 0.92 | 1.07 | 1.56 | 1.05 | 1.06 | 0.98 | 1.12 | 1.62 | 1.12 | ||
| 50 | 0.96 | 0.85 | 1.27 | 1.63 | 1.73 | 1.06 | 0.88 | 1.23 | 2.01 | 1.20 | ||
| 1,000 | 15 | 1.18 | 1.14 | 1.23 | 1.89 | 1.16 | 1.41 | 1.34 | 1.43 | 1.92 | 1.43 | |
| 25 | 1.18 | 1.1 | 1.27 | 2.07 | 1.18 | 1.41 | 1.28 | 1.45 | 2.21 | 1.44 | ||
| 50 | 1.18 | 1 | 1.44 | 2.08 | 1.7 | 1.41 | 1.13 | 1.53 | 2.70 | 1.49 | ||
| 0.7 | 200 | 15 | 0.94 | 0.91 | 1.01 | 1.21 | 1.01 | 1.02 | 0.98 | 1.06 | 1.23 | 1.05 |
| 25 | 0.94 | 0.91 | 1.06 | 1.28 | 1.12 | 1.02 | 0.95 | 1.10 | 1.35 | 1.12 | ||
| 50 | 0.94 | 0.85 | 1.27 | 1.39 | 1.65 | 1.02 | 0.87 | 1.22 | 1.62 | 1.24 | ||
| 500 | 15 | 1.23 | 1.18 | 1.28 | 1.65 | 1.22 | 1.47 | 1.39 | 1.48 | 1.78 | 1.50 | |
| 25 | 1.23 | 1.14 | 1.32 | 1.76 | 1.27 | 1.47 | 1.34 | 1.51 | 1.96 | 1.52 | ||
| 50 | 1.23 | 1.03 | 1.5 | 1.82 | 1.85 | 1.47 | 1.16 | 1.58 | 2.29 | 1.56 | ||
| 1,000 | 15 | 1.60 | 1.52 | 1.63 | 2.22 | 1.55 | 2.00 | 1.89 | 2.02 | 2.44 | 2.02 | |
| 25 | 1.60 | 1.46 | 1.67 | 2.36 | 1.53 | 2.00 | 1.81 | 2.03 | 2.69 | 2.02 | ||
| 50 | 1.60 | 1.3 | 1.81 | 2.37 | 1.87 | 2.00 | 1.56 | 2.09 | 3.11 | 2.04 | ||
| 0.6 | 200 | 15 | 1.10 | 1.06 | 1.17 | 1.33 | 1.16 | 1.28 | 1.21 | 1.30 | 1.44 | 1.30 |
| 25 | 1.10 | 1.04 | 1.22 | 1.39 | 1.27 | 1.28 | 1.17 | 1.34 | 1.54 | 1.36 | ||
| 50 | 1.10 | 0.96 | 1.4 | 1.47 | 1.7 | 1.28 | 1.05 | 1.44 | 1.77 | 1.47 | ||
| 500 | 15 | 1.51 | 1.44 | 1.55 | 1.87 | 1.49 | 1.88 | 1.78 | 1.90 | 2.12 | 1.91 | |
| 25 | 1.51 | 1.39 | 1.58 | 1.95 | 1.53 | 1.88 | 1.70 | 1.90 | 2.27 | 1.93 | ||
| 50 | 1.51 | 1.23 | 1.75 | 1.98 | 1.99 | 1.88 | 1.46 | 1.97 | 2.53 | 1.94 | ||
| 1,000 | 15 | 2.02 | 1.92 | 2.05 | 2.53 | 1.96 | 2.59 | 2.44 | 2.60 | 2.93 | 2.61 | |
| 25 | 2.02 | 1.83 | 2.08 | 2.63 | 1.92 | 2.59 | 2.33 | 2.62 | 3.13 | 2.60 | ||
| 50 | 2.02 | 1.59 | 2.18 | 2.62 | 2.13 | 2.59 | 1.99 | 2.67 | 3.47 | 2.60 | ||
Note. Rho = interfactor correlation; N = sample size; PM = percentage of missingness; C = complete data results; PD = pairwise deletion results; MI = multiple imputation results; CAT = number of categories; WRMR = weighted root mean square residual; MCAR = missing completely at random; MAR = missing at random. Conditions with less than 50% of completed replications were excluded from the table.