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Table IV
F-test of the differences mountain ranges obtained with the model of Fang et al. (2000).
MR Model | n | SSEF | dfF | SSER | dfR | dfR-dfF | F-value |
---|---|---|---|---|---|---|---|
Combined | 38103 | 58105.7 | 38043 | 65197.7 | 38093 | 50 | 92.9* |
1–2 | 9659 | 23252 | 9639 | 23500 | 9649 | 10 | 10.3* |
1–3 | 3486 | 5076.4 | 3466 | 5485 | 3476 | 10 | 27.9* |
1–4 | 6534 | 5393.9 | 6514 | 5607.3 | 6524 | 10 | 25.8* |
1–5 | 17669 | 27553.5 | 17649 | 28229.6 | 17659 | 10 | 43.3* |
1–6 | 5223 | 5888.7 | 5203 | 6157.9 | 5213 | 10 | 23.8* |
2–3 | 10911 | 23799 | 10891 | 25549 | 10901 | 10 | 80.1* |
2–4 | 13959 | 24116.5 | 13939 | 24570.1 | 13949 | 10 | 26.2* |
2–5 | 25094 | 46276.1 | 25074 | 49809.1 | 25084 | 10 | 191.4* |
2–6 | 12648 | 24611.3 | 12628 | 25661.6 | 12638 | 10 | 53.9* |
3–4 | 7786 | 5940.9 | 7766 | 7457.3 | 7776 | 10 | 198.2* |
3–5 | 18921 | 28100.5 | 18901 | 31726.2 | 18911 | 10 | 243.9* |
3–6 | 6475 | 6435.7 | 6455 | 7916.8 | 6465 | 10 | 148.6* |
4–5 | 21969 | 28418 | 21949 | 29322.1 | 21959 | 10 | 69.8* |
4–6 | 9523 | 6753.2 | 9503 | 6982.6 | 9513 | 10 | 32.3* |
5–6 | 20658 | 28912.8 | 20638 | 29729 | 20648 | 10 | 58.3* |
The mountain ranges (MR) are defined in Table I.
An asterisk
(*)
indicates a significant F-value at α = 0.001 (i.e., the models are different). The F-values were calculated according to Equation (9). n is the number of observations, SSEF, dfF, SSER and dfR are the sum of squared errors and the degrees of freedom associated with the full and reduced models, respectively.