Table 5.
Two-level simulation results for Random Intercept Cross-Lagged Panel Model, ignoring therapist-level random slopes.
| Slope SD = 0.10 | Slope SD = 0.15 | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| ICCslope = .05 | β | SE | β | SE | |||||||||
| NL2 | NL3 | Est.a | Biasb | Powerc | SDd | Est.e | Coverg | Est.a | Biasb | Powerc | SDd | Est.e | Coverg |
| 50 | 5 | 0.284 | −5.3% | 83.1% | 0.100 | 0.093 | 92.7% | 0.283 | −5.8% | 81.2% | 0.103 | 0.094 | 92.2% |
| 50 | 10 | 0.286 | −4.8% | 82.8% | 0.102 | 0.093 | 92.4% | 0.285 | −5.1% | 82.2% | 0.105 | 0.094 | 91.6% |
| 100 | 5 | 0.296 | −1.3% | 98.7% | 0.068 | 0.065 | 93.8% | 0.296 | −1.5% | 98.3% | 0.071 | 0.066 | 92.5% |
| 100 | 20 | 0.295 | −1.6% | 98.5% | 0.068 | 0.065 | 94.0% | 0.294 | −1.9% | 98.1% | 0.070 | 0.066 | 93.8% |
| 200 | 5 | 0.297 | −0.9% | 100.0% | 0.048 | 0.046 | 94.2% | 0.296 | −1.2% | 100.0% | 0.050 | 0.046 | 92.6% |
| 200 | 20 | 0.297 | −1.0% | 100.0% | 0.047 | 0.046 | 94.7% | 0.296 | −1.3% | 100.0% | 0.049 | 0.046 | 93.8% |
| 200 | 40 | 0.297 | −1.0% | 100.0% | 0.047 | 0.046 | 94.7% | 0.296 | −1.3% | 100.0% | 0.049 | 0.046 | 93.7% |
| ICCslope = .10 | Est.a | Biasb | Powerc | SDd | Est.e | Coverg | Est.a | Biasb | Powerc | SDd | Est.e | Coverg | |
| 50 | 5 | 0.284 | −5.3% | 82.7% | 0.100 | 0.093 | 92.4% | 0.283 | −5.8% | 80.8% | 0.105 | 0.094 | 91.9% |
| 50 | 10 | 0.286 | −4.8% | 82.7% | 0.102 | 0.093 | 92.2% | 0.284 | −5.2% | 82.5% | 0.105 | 0.094 | 91.5% |
| 100 | 5 | 0.296 | −1.3% | 98.7% | 0.069 | 0.065 | 93.3% | 0.296 | −1.4% | 98.1% | 0.073 | 0.066 | 91.9% |
| 100 | 20 | 0.295 | −1.6% | 98.5% | 0.068 | 0.065 | 94.2% | 0.294 | −1.9% | 98.2% | 0.070 | 0.066 | 93.4% |
| 200 | 5 | 0.297 | −0.9% | 100.0% | 0.049 | 0.046 | 93.3% | 0.296 | −1.2% | 100.0% | 0.053 | 0.046 | 91.4% |
| 200 | 20 | 0.297 | −1.0% | 100.0% | 0.047 | 0.046 | 94.4% | 0.296 | −1.3% | 100.0% | 0.049 | 0.046 | 93.8% |
| 200 | 40 | 0.297 | −1.0% | 100.0% | 0.047 | 0.046 | 94.3% | 0.296 | −1.3% | 100.0% | 0.049 | 0.046 | 93.8% |
| ICCslope = .20 | Est.a | Biasb | Powerc | SDd | Est.e | Coverg | Est.a | Biasb | Powerc | SDd | Est.e | Coverg | |
| 50 | 5 | 0.284 | −5.4% | 82.2% | 0.102 | 0.093 | 92.0% | 0.283 | −5.7% | 80.5% | 0.107 | 0.094 | 91.4% |
| 50 | 10 | 0.285 | −4.9% | 83.0% | 0.102 | 0.093 | 92.2% | 0.284 | −5.3% | 81.7% | 0.106 | 0.094 | 91.1% |
| 100 | 5 | 0.296 | −1.2% | 98.3% | 0.070 | 0.065 | 92.7% | 0.296 | −1.3% | 97.8% | 0.0754 | 0.0658 | 91.2% |
| 100 | 20 | 0.295 | −1.7% | 98.5% | 0.068 | 0.065 | 94.2% | 0.294 | −1.9% | 98.0% | 0.0705 | 0.066 | 93.3% |
| 200 | 5 | 0.297 | −0.9% | 100.0% | 0.051 | 0.046 | 91.8% | 0.296 | −1.2% | 100.0% | 0.0567 | 0.0461 | 89.3% |
| 200 | 20 | 0.297 | −1.0% | 100.0% | 0.047 | 0.046 | 94.6% | 0.296 | −1.2% | 100.0% | 0.0502 | 0.0463 | 93.4% |
| 200 | 40 | 0.297 | −1.0% | 100.0% | 0.047 | 0.046 | 94.3% | 0.296 | −1.3% | 100.0% | 0.0493 | 0.0462 | 93.3% |
Note.
Average estimate of β over 2000 replications,
calculated as ,
proportion of 2000 replications yielding significant estimate when β = .30,
standard deviation of β over 2000 replications (used as estimate of population standard error),
average of estimated standard errors over 2000 replications,
calculated as ,
proportion of 2000 replications when 95% confidence intervals contain the population value of β,
proportion of 2000 replications yielding significant estimate when β = 0.