Defines hyperparameters for the specific Bayesian models.
Priors Details
These hyperparameters control the strength of assumptions regarding latent state evolution, institute bias, and non-sampling errors.
Variable names refer to the model notation described in https://rnmag.github.io/agregR/index.html#conceptual-framework
Recommended reading: https://github.com/stan-dev/stan/wiki/prior-choice-recommendations
State Model - Level (\(\mu\))
mu_priori: Prior mean for the latent vote share at \(t=1\).sd_mu_priori: Prior uncertainty for the initial latent vote.Default values: \(\mu\) starts with a flat prior of N(0.5, 0.5), allowing data to quickly dominate inference.
omega_eta_priori: Prior mean for the level volatility (\(\omega_\eta\)).sd_omega_eta_priori: Prior uncertainty for the level volatility.Default values: With
omega_eta_priori = 0.002andsd_omega_eta_priori = 0.0001, the model assumes a baseline drift of approx. \(\pm 2\) percentage points over a month (\(1.96 \times \sqrt{30} \times 0.002 \approx 0.02\)).Higher values: The latent vote (\(\mu\)) can jump more from one day to the next. The model adapts more quickly to new polls but becomes more "jittery".
Lower values: The model assumes the public opinion level is more stable over time, resulting in smoother curves.
State Model - Trend (\(\nu\))
nu_priori: Prior mean for the initial trend (daily growth rate).sd_nu_priori: Prior uncertainty for the initial trend.Default values: With
nu_priori = 0andsd_nu_priori = 0.001, the model expects an initial trend within \(\pm 0.2\) percentage points per day (\(1.96 \times 0.001 \approx 0.002\)).
omega_zeta_priori: Prior mean for the trend volatility (\(\omega_\zeta\)).sd_omega_zeta_priori: Prior uncertainty for the trend volatility.Default values: With
omega_zeta_priori = 0andsd_omega_zeta_priori = 0.00001, the model assumes a linear evolution, allowing the trend to shift rapidly (accelerations) only under strong evidence.Higher values: The trend (\(\nu\)) can change direction or magnitude rapidly.
Lower values: The trend is assumed to be more constant over time (more linear evolution).
Institute Bias (\(\delta\))
delta_priori: Mean expected bias for institutes. Default is 0, except in "Viés Empírico" where it is anchored on past performance.sd_delta_priori: Scale of the bias prior.Default values: With
delta_priori = 0andsd_delta_priori = 0.02, the model assumes that 95% of institutes have a bias within \(\pm 4\) percentage points (\(1.96 \times 0.02 \approx 0.04\)).Higher values: Allow for larger, more variable biases across institutes.
Lower values: Constrain institutes to have similar biases (shrinkage toward the anchor).
Non-Sampling Error (\(\tau\))
tau_priori: Mean expected magnitude of errors not explained by sampling or house effects. In weighted models, this is replaced by the empirical RMSE from past elections.sd_tau_priori: Prior uncertainty for non-sampling error.Default values: With
tau_priori = 0.02andsd_tau_priori = 0.02, the model assumes a baseline of \(\pm 4\) percentage points of "noise" in each poll, allowing it to spread closer to \(\pm 7\) percentage points.Higher values: The model treats polls as less precise, widening the credible intervals of the latent state.
Lower values: The model trusts polling precision more, leading to tighter intervals and potentially more sensitivity to outliers.
