knitr::opts_chunk$set( collapse = TRUE, comment = "#>" )
Family of distributions
: Distributions that can be described by the same set of parameters make up a family of distributions. For example the normal/Gaussian family includes all of the possible distributions that can be described by the two parameters $\mu$ and $\sigma$ alone.
: In brms you set the family of the probability distribution of the outcome variable with the argument family. For example, family = gaussian(), family = bernoulli().
: In practice, you can think of the family as the prior probability distribution of the outcome variable.
Likelihood : This is the probability distribution of the outcome variable conditional on the prior(s). : Notation: $p(d|\theta)$.
Outcome/response/dependent variables
: These are the variables that appear on the left-hand side of a model formula. For example, f0 in f0 ~ attitude; F1 and F2 in c(F1, F2) ~ stress.
Parameter : A parameter in a statistical model (for example intercept/mean, standard deviation, slope/$\beta$, etc). : A parameter used to describe a probability distribution (for example $\mu$ and $\sigma$ for normal/Gaussian distributions).
Predictors, independent variables
: These are the variable that appear on the right-hand side of a model formula. For example, novel_word in reaction_t ~ novel_word; s(longitude, latitude) in temperature ~ s(longitude, latitude).
Prior probability distribution or simply prior : This is the probability distribution of the values a parameter can take, based on prior knowledge/belief, domain expertise, previous research, pilot data. : Notation: $p(\theta)$.
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