Table 3 Results for our illustrative example.
From: A flexible way to study composites in ecology using structural equation modeling
Weights | Two-step | H–O (unit weights) | H–O (free weights) | One-step | H–O (relaxed) | |||||
|---|---|---|---|---|---|---|---|---|---|---|
Est | SE | Est | SE | Est | SE | Est | SE | Est | SE | |
\(w_\text {pH}\) | 1.000 | N.A. | 1.000 | N.A. | 0.565 | 0.301 | 1.000 | N.A. | 1.323 | 0.298 |
\(w_\text {mois}\) | 1.000 | N.A. | 1.000 | N.A. | 1.088 | 0.180 | 0.234 | 0.282 | 0.309 | 0.384 |
\(w_\text {text}\) | 1.000 | N.A. | 1.000 | N.A. | 1.031 | 0.574 | 1.323 | 0.829 | 1.750 | 0.722 |
\(w_\text {dist}\) | 1.000 | N.A. | 1.000 | N.A. | 0.193 | 0.062 | 1.000 | N.A. | 0.175 | 0.066 |
\(w_\text {age}\) | 1.000 | N.A. | 1.000 | N.A. | -0.740 | 0.085 | -4.222 | 1.445 | -0.739 | 0.090 |
Standardized path coefficients | ||||||||||
Soil \(\rightarrow\) Comp | 0.428 | 0.067 | 0.428 | 0.067 | 0.284 | 0.076 | 0.329 | 0.069 | 0.329 | 0.069 |
Soil \(\rightarrow\) Colo | -0.101 | 0.077 | -0.101 | 0.077 | -0.016 | 0.065 | 0.018 | 0.064 | 0.018 | 0.064 |
Land \(\rightarrow\) Comp | -0.049 | 0.074 | -0.049 | 0.074 | 0.266 | 0.076 | 0.295 | 0.074 | 0.295 | 0.074 |
Land \(\rightarrow\) Colo | -0.361 | 0.066 | -0.361 | 0.066 | -0.674 | 0.053 | -0.682 | 0.050 | -0.682 | 0.050 |
Comp \(\rightarrow\) Colo | -0.320 | 0.077 | -0.320 | 0.077 | -0.114 | 0.068 | -0.122 | 0.070 | -0.122 | 0.070 |
Soil \(\leftrightarrow\) Land | 0.232 | 0.071 | 0.232 | 0.071 | 0.425 | 0.061 | N.A. | N.A. | 0.289 | 0.101 |
Fit statistics | ||||||||||
\(\chi ^2\) statistic | Not | 137.683 | 39.577 | 6.888 | 6.888 | |||||
p-value (df) | informative | \(<0.01\) (11) | \(<0.01\) (8) | 0.076 (3) | 0.076 (3) | |||||
RMSEA | 0.253 | 0.148 | 0.085 | 0.085 | ||||||
SRMR | 0.175 | 0.058 | 0.021 | 0.021 | ||||||
CFI | 0.654 | 0.914 | 0.989 | 0.989 | ||||||
TLI | 0.340 | 0.774 | 0.926 | 0.926 | ||||||
AIC | 1518.938 | 1426.831 | 1404.143 | 1404.143 | ||||||
BIC | 1573.218 | 1490.691 | 1483.967 | 1483.967 | ||||||
SABIC | 1519.379 | 1427.351 | 1404.792 | 1404.792 | ||||||
