intercept function

Fix mean parameters in 'lvm'-object

Define linear constraints on intercept parameters in a lvm-object.

## S3 replacement method for class 'lvm'
intercept(object, vars, ...) <- value

Arguments

• object: lvm-object
• ...: Additional arguments
• vars: character vector of variable names
• value: Vector (or list) of parameter values or labels (numeric or character) or a formula defining the linear constraints (see also the regression or covariance methods).

Returns

A lvm-object

Details

The intercept function is used to specify linear constraints on the intercept parameters of a latent variable model. As an example we look at the multivariate regression model

defined by the call

m <- lvm(c(y1,y2) ~ x)

To fix $\alpha_1=\alpha_2$ we call

intercept(m) <- c(y1,y2) ~ f(mu)

Fixed parameters can be reset by fixing them to NA. For instance to free the parameter restriction of $Y_1$ and at the same time fixing $\alpha_2=2$, we call

intercept(m, ~y1+y2) <- list(NA,2)

Calling intercept with no additional arguments will return the current intercept restrictions of the lvm-object.

Note

Variables will be added to the model if not already present.

Examples

## A multivariate model
m <- lvm(c(y1,y2) ~ f(x1,beta)+x2)
regression(m) <- y3 ~ f(x1,beta)
intercept(m) <- y1 ~ f(mu)
intercept(m, ~y2+y3) <- list(2,"mu")
intercept(m) ## Examine intercepts of model (NA translates to free/unique paramete##r)

See Also

covariance<-, regression<-, constrain<-, parameter<-, latent<-, cancel<-, kill<-

Author(s)

Klaus K. Holst