SSlogis                package:stats                R Documentation

Logistic Model

Description:

     This 'selfStart' model evaluates the logistic function and its
     gradient.  It has an 'initial' attribute that creates initial
     estimates of the parameters 'Asym', 'xmid', and 'scal'.

Usage:

     SSlogis(input, Asym, xmid, scal)

Arguments:

   input: a numeric vector of values at which to evaluate the model.

    Asym: a numeric parameter representing the asymptote.

    xmid: a numeric parameter representing the 'x' value at the
          inflection point of the curve.  The value of 'SSlogis' will
          be 'Asym/2' at 'xmid'.

    scal: a numeric scale parameter on the 'input' axis.

Value:

     a numeric vector of the same length as 'input'.  It is the value
     of the expression 'Asym/(1+exp((xmid-input)/scal))'.  If all of
     the arguments 'Asym', 'xmid', and 'scal' are names of objects the
     gradient matrix with respect to these names is attached as an
     attribute named 'gradient'.

Author(s):

     Jose Pinheiro and Douglas Bates

See Also:

     'nls', 'selfStart'

Examples:

     Chick.1 <- ChickWeight[ChickWeight$Chick == 1, ]
     SSlogis( Chick.1$Time, 368, 14, 6 )  # response only
     Asym <- 368; xmid <- 14; scal <- 6
     SSlogis( Chick.1$Time, Asym, xmid, scal ) # response and gradient
     getInitial(weight ~ SSlogis(Time, Asym, xmid, scal), data = Chick.1)
     ## Initial values are in fact the converged values
     fm1 <- nls(weight ~ SSlogis(Time, Asym, xmid, scal), data = Chick.1)
     summary(fm1)

