Table 5.
Regression Estimates for the Hypothetical Example Data Without Adjusting for Measurement Error (Naive) and With Adjustment Using the Errors-in-Variables Method and the Structural Equation Modeling (SEM) Method.
| True | Naive | Errors-in-variables | SEM | |
|---|---|---|---|---|
| (Intercept) | −0.01 (0.01) | −0.01 (0.01) | −0.01 (0.01) | −0.01 (0.01) |
| X | 0.29*** (0.01) | 0.39*** (0.01) | 0.28*** (0.01) | 0.28*** (0.01) |
| W | 0.29*** (0.01) | |||
| w | 0.12*** (0.01) | 0.30*** (0.02) | 0.30*** (0.02) | |
| R 2 | .26 | .23 | .26 | .26 |
| No. of observations | 10,000 | 10,000 | 10,000 | 10,000 |
*
p < .05. **p < .01. ***p < .001.