Table 5 Goodness of fit rankings for temperature and rainfall distributions.
From: A systematic approach to modeling monthly maximum temperature and total rainfall in Kenya
Distribution | KS test | AD test | CVM test | CHI test | AIC | BIC | RMSE | Density plot | QQ plot | Total score | Overall rank |
|---|---|---|---|---|---|---|---|---|---|---|---|
(a) Temperature distributions | |||||||||||
   Normal | 4 | 4 | 4 | 3 | 5 | 5 | 1 | 4 | 2 | 32 | 4 |
   Log-normal | 2 | 2 | 3 | 4 | 3 | 3 | 3 | 3 | 3 | 26 | 3 |
   Gamma | 3 | 3 | 2 | 2 | 4 | 4 | 2 | 1 | 4 | 25 | 2 |
   Weibull | 6 | 6 | 6 | 6 | 7 | 7 | 5 | 5 | 6 | 54 | 5 |
   Uniform | 5 | 8 | 7 | 7 | 6 | 6 | 7 | 6 | 8 | 60 | 8 |
   Logistic | 7 | 5 | 5 | 5 | 8 | 8 | 4 | 8 | 5 | 55 | 7 |
   GEV | 1 | 1 | 1 | 1 | 2 | 2 | 6 | 2 | 1 | 17 | 1 |
   GPD | 8 | 7 | 8 | 8 | 1 | 1 | 8 | 7 | 7 | 55 | 6 |
(b) Rainfall distributions | |||||||||||
   Log-normal | 2 | 2 | 2 | 1 | 4 | 4 | 4 | 2 | 3 | 24 | 3 |
   Exponential | 5 | 5 | 5 | 5 | 6 | 6 | 6 | 5 | 5 | 48 | 6 |
   Gamma | 3 | 3 | 3 | 3 | 3 | 2 | 2 | 1 | 2 | 22 | 2 |
   Weibull | 4 | 4 | 4 | 4 | 5 | 5 | 3 | 3 | 4 | 36 | 4 |
   GEV | 1 | 1 | 1 | 2 | 2 | 3 | 1 | 4 | 1 | 16 | 1 |
   GPD | 6 | 6 | 6 | 6 | 1 | 1 | 5 | 6 | 6 | 43 | 5 |
