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add binomial, and add EVA as Bernoulli fitting method
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BertvanderVeen committed May 30, 2024
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8 changes: 5 additions & 3 deletions vignettes/vignette1.Rmd
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Expand Up @@ -126,15 +126,17 @@ List of available distributions with the mean, $E(y_{ij})$, and mean-variance, $
| | | | | $V(\mu_{ij}) = \mu_{ij}(1-p_j) (1+\mu_{ij}p_j)$|
| | ZINB | VA/LA |log | $E(y_{ij}) = (1-p_j)\mu_{ij}$, $P(y_{ij}=0)=p_j$,|
| | | | | $V(\mu_{ij}) = \mu_{ij}(1-p_j)(1+\mu_{ij}(p_j+\phi_j))$|
|Binary | Bernoulli | VA/LA |probit | $E(y_{ij}) = \mu_{ij}$, $V(\mu_{ij}) = \mu_{ij}(1-\mu_{ij})$|
| | | LA |logit | |
| | binomial | VA/LA |probit | $E(y_{ij}) = N_j\mu_{ij}$, $V(\mu_{ij}) = N_j\mu_{ij}(1-\mu_{ij})$|
| | binomial | LA |logit |
|Binary | Bernoulli | EVA/VA/LA |probit | $E(y_{ij}) = \mu_{ij}$, $V(\mu_{ij}) = \mu_{ij}(1-\mu_{ij})$|
| | | EVA/LA |logit | |
|Biomass | Tweedie | LA/EVA |log | $E(y_{ij}) = \mu_{ij}$, $V(\mu_{ij}) = \phi_j\mu_{ij}^\nu$,|
| | | | | where $1<\nu<2$ is a power parameter and $\phi_j>0$ is a dispersion parameter |
|Ordinal | Multinomial | VA |probit | Cumulative probit model|
|Normal | Gaussian | VA/LA |identity| $E(y_{ij}) = \mu_{ij}$, $V(y_{ij}) = \phi_j^2$|
|Positive continuous| Gamma | VA/LA |log| $E(y_{ij}) = \mu_{ij}$, $V(y_{ij}) = \mu_{ij}^2/\phi_j$|
| | | | | where $\phi_j$ is a shape parameter |
|Non-negative continuous| Exponential | VA/LA |log| $E(y_{ij}) = \mu_{ij}$, $V(y_{ij}) = \mu_{ij}^2$|
|Positive continuous | Exponential | VA/LA |log| $E(y_{ij}) = \mu_{ij}$, $V(y_{ij}) = \mu_{ij}^2$|
|Percent cover| beta | LA/EVA | probit/logit | $E(y_{ij}) = \mu_{ij}$, $V(\mu_{ij}) = \mu_{ij}(1-\mu_{ij})/(1+\phi_j)$ |
|Percent cover with zeros/ones| ordered beta | EVA | probit | details in Korhonen et al (2024) |

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