TABLE 2.
Variable | Distribution | True regression coefficient βj | Standardized regression coefficient βjσj | Partial R 2 in linear regression (×100) | Multiple R 2/correlation (×100) |
---|---|---|---|---|---|
X 1 | normal | 0.040 | 0.400 | 5.1 | 47.7 |
X 2 | normal | −1.040 | −0.385 | 3.8 | 56.4 |
X 3 | zero‐inflated normal | 0.250 | 0.394 | 3.4 | 66.4 |
X 4 | normal | 0.624 | 0.249 | 2.3 | 40.3 |
X 5 | binomial(0.4) | 0.402 | 0.194 | 2.0 | 12.6 |
X 6 | log‐normal | 0.021 | 0.171 | 1.9 | 0 |
X 7 | binomial(0.7) | −0.398 | −0.189 | 0.8 | 61.7 |
X 8 | normal | −0.009 | −0.094 | 0.3 | 44.4 |
X 9 | binomial(0.7) | 0 | 0 | 0 | 39.0 |
X 10 | binomial(0.2) | 0 | 0 | 0 | 70.0 |
X 11 | exponential | 0 | 0 | 0 | 15.6 |
X 12 | binomial(0.2) | 0 | 0 | 0 | 34.5 |
X 13 | binomial(0.1) | 0 | 0 | 0 | 34.0 |
X 14 | normal | 0 | 0 | 0 | 36.4 |
X 15 | normal | 0 | 0 | 0 | 0 |
X 16 | binomial(0.5) | 0 | 0 | 0 | 17.7 |
X 17 | binomial(0.5) | 0 | 0 | 0 | 0 |