sctest.formula {strucchange}R Documentation

Structural Change Tests

Description

Performs tests for structural change.

Usage

## S3 method for class 'formula':
sctest(formula, type = , h = 0.15,
    alt.boundary = FALSE, functional = c("max", "range",
    "maxL2", "meanL2"), from = 0.15, to = NULL, point = 0.5,
    asymptotic = FALSE, data, ...)

Arguments

formula a formula describing the model to be tested.
type a character string specifying the structural change test that ist to be performed, the default is "Rec-CUSUM". Besides the test types described in efp and sctest.Fstats. The Chow test and the Nyblom-Hansen test can be performed by setting type to "Chow" or "Nyblom-Hansen", respectively.
h numeric from interval (0,1) specifying the bandwidth. Determins the size of the data window relative to sample size (for MOSUM and ME tests only).
alt.boundary logical. If set to TRUE alternative boundaries (instead of the standard linear boundaries) will be used (for CUSUM processes only).
functional indicates which functional should be used to aggregate the empirical fluctuation processes to a test statistic.
from, to numerics. If from is smaller than 1 they are interpreted as percentages of data and by default to is taken to be the 1 - from. F statistics will be calculated for the observations (n*from):(n*to), when n is the number of observations in the model. If from is greater than 1 it is interpreted to be the index and to defaults to n - from. (for F tests only)
point parameter of the Chow test for the potential change point. Interpreted analogous to the from parameter. By default taken to be floor(n*0.5) if n is the number of observations in the model.
asymptotic logical. If TRUE the asymptotic (chi-square) distribution instead of the exact (F) distribution will be used to compute the p value (for Chow test only).
data an optional data frame containing the variables in the model. By default the variables are taken from the environment which sctest is called from.
... further arguments passed to efp or Fstats.

Details

sctest.formula is mainly a wrapper for sctest.efp and sctest.Fstats as it fits an empirical fluctuation process first or computes the F statistics respectively and subsequently performs the corresponding test. The Chow test and the Nyblom-Hansen test are available explicitely here.

Value

an object of class "htest" containing:

statistic the test statistic
p.value the corresponding p value
method a character string with the method used
data.name a character string with the data name

See Also

sctest.efp, sctest.Fstats

Examples

## Example 7.4 from Greene (1993), "Econometric Analysis"
## Chow test on Longley data
data(longley)
sctest(Employed ~ Year + GNP.deflator + GNP + Armed.Forces, data = longley,
  type = "Chow", point = 7)

## which is equivalent to segmenting the regression via
fac <- factor(c(rep(1, 7), rep(2, 9)))
fm0 <- lm(Employed ~ Year + GNP.deflator + GNP + Armed.Forces, data = longley)
fm1 <- lm(Employed ~ fac/(Year + GNP.deflator + GNP + Armed.Forces), data = longley)
anova(fm0, fm1)

## estimates from Table 7.5 in Greene (1993)
summary(fm0)
summary(fm1)

[Package strucchange version 1.2-12 Index]