Within-Sample Predictive Accuracy of the Models: Average Values with 95% Confidence Intervals in Parentheses
Bias | MNL | MNLH | MNP | MNPH | SMNP | SMNPH |
---|---|---|---|---|---|---|
6 sites | 0.3724 | 0.3306 | 0.4761 | 0.4471 | 0.3793 | 0.3739 |
(0.3788, 0.3645) | (0.3373, 0.3230) | (0.4842, 0.4674) | (0.4557, 0.4382) | (0.3856, 0.3725) | (0.3805, 0.3669) | |
12 site | 0.4193 | 0.4034 | 0.6175 | 0.5859 | 0.4558 | 0.4311 |
(0.4277, 0.4094) | (0.4115, 0.3936) | (0.6247, 0.6109) | (0.5943, 0.5782) | (0.4636, 0.4480) | (0.4424, 0.4230) | |
24 sites | 0.5542 | 0.4874 | 0.6917 | 0.6427 | 0.6495 | 0.6211 |
(0.5634, 0.5464) | (0.4956, 0.4783) | (0.6966, 0.6863) | (0.6503, 0.6366) | (0.6563, 0.6433) | (0.6304, 0.6132) | |
Mean Squared Error | ||||||
6 sites | 0.1985 | 0.1742 | 0.2677 | 0.2491 | 0.2082 | 0.2058 |
(0.2017, 0.1950) | (0.1770, 0.1709) | (0.2744, 0.2610) | (0.2545, 0.2432) | (0.2112, 0.2054) | (0.2089, 0.2031) | |
12 site | 0.2575 | 0.2440 | 0.4157 | 0.3827 | 0.2924 | 0.2614 |
(0.2624, 0.2518) | (0.2485, 0.2391) | (0.4231, 0.4093) | (0.3907, 0.3755) | (0.2979, 0.2876) | (0.2713, 0.2590) | |
24 sites | 0.3709 | 0.3187 | 0.5096 | 0.4437 | 0.4675 | 0.4242 |
(0.3773, 0.3636) | (0.3240, 0.3122) | (0.5155, 0.5029) | (0.4515, 0.4373) | (0.4744, 0.4617) | (0.4332, 0.4163) | |
Predictive Accuracy | ||||||
6 sites | 0.7455 | 0.8367 | 0.6968 | 0.7116 | 0.7698 | 0.7822 |
(0.7882, 0.7352) | (0.8394, 0.8310) | (0.7223, 0.6816) | (0.7189, 0.7057) | (0.7895, 0.7597) | (0.7963, 0.7648) | |
12 site | 0.7909 | 0.7753 | 0.7884 | 0.7914 | 0.7923 | 0.7928 |
(0.7926, 0.7892) | (0.7800, 0.7706) | (0.7902, 0.7858) | (0.7974, 0.7862) | (0.7936, 0.7906) | (0.7953, 0.7875) | |
24 sites | 0.7240 | 0.7324 | 0.6821 | 0.7243 | 0.7135 | 0.7301 |
(0.7284, 0.7186) | (0.7386, 0.7278) | (0.6979, 0.6650) | (0.7281, 0.7196) | (0.7176, 0.7074) | (0.7393, 0.7234) |
Note: The model results with the lowest bias, mean squared error, and predictive accuracy are highlighted in bold. The naïve expectations for the bias are 0.833, 0.917, 0.958 for the 6-site, 12-site, and 24-site models, respectively. The naïve expectations for the mean squared error are 0.694, 0.840, and 0.918 for the 6-site, 12- site, and 24-site models, respectively. Model names are defined in Table 2.