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plm (version 0.1-2)

plm: Panel Data Estimators

Description

Estimators for panel data (balanced or unbalanced)

Usage

plm(formula,instruments=NULL,endog=NULL,data,effect="individual",
random.method="swar",inst.method="bvk",model=NULL,np=FALSE, ...)
## S3 method for class 'plm':
print(x,digits=5, ...)
## S3 method for class 'plm':
summary(object, ...)
## S3 method for class 'plms':
print(x,digits=5, ...)
## S3 method for class 'plms':
summary(object, ...)
## S3 method for class 'summary.plm':
print(x,digits=5,length.line=70, ...)
## S3 method for class 'summary.plms':
print(x,digits=5,length.line=70, ...)

Arguments

formula
a symbolic description for the model to be estimated,
object,x
an object of class plm or plms,
instruments
a one side formula containing instrumental variables,
endog
a one side formula containing endogenous variables,
data
the data, must be an object of class pdata.frame and is mandatory,
effect
the effects introduced in the model, one of "individual", "time" or "twoways",
random.method
method of estimation for the variance components in the random effect model, one of "swar", "amemiya", "walhus" and "nerlove",
inst.method
the instrumental variable transformation : one of "bvk" and "baltagi",
model
one of "pooling", "within", "between", "random" and "ht" : plm returns the model specified or, if NULL, a list containing four models ("pooling"<
np
a logical value which indicates whether the nopool model has to be estimated or not,
digits
digits,
length.line
the maximum length of the lines in the print output,
...
further arguments.

Value

  • Whether : an object of class "plms", which is a list of the following models : pooling, between (between.id and between.time if method="twoways"), within and random which are all of class "plm", an object of class c("plm","lm") if the argument model is filled.

    A "plm" object inherits form "lm". It has the following additional elements :

  • cov.unscaledthe unscaled covariance of the coefficients,
  • ssrthe sum of the square residuals,
  • modelthe name of the estimated model,
  • formulathe formula of the estimated model,
  • FEthe fixed effects (within model only),
  • alphathe estimated intercept (within model only),
  • thetathe estimated parameter for the quasi--difference (random model only),
  • sigma2the estimated variance of the error components (random model only).
  • It has print, summary and print.summary methods.

    A specific summary method is provided for objects of class "plms", which returns an object of class summary.plms and prints a table of the coefficients of the within and random models and their standard errors.

Details

plm is a general function for the estimation of linear panel models. It offers limited support for unbalanced panels and estimation of two-ways effects models.

For random effect models, 4 estimators of the transformation parameter are available : swar (Swamy and Arora), amemiya,walhus (Walhus and Hussain) and nerlove.

Instrumental variables estimation is obtained using the instruments and/or endog arguments. If for example, the model is y~x1+x2+x3, x1, x2 are endogenous and z1, z2 are external instruments, the model can be estimated with : instruments=~x3+z1+z2, or instruments=~z1+z2,endog=~x1+x2. The four models are estimated using Balestra and Varadharajan--Krishnakumar's method if inst.method=bvk or Baltagi's method if inst.method="baltagi".

The Hausman and Taylor estimator is computed if model="ht".

References

Amemiyia, T. (1971), The estimation of the variances in a variance--components model, International Economic Review, 12, pp.1--13.

Balestra, P. and J. Varadharajan--Krishnakumar (1987), Full information estimations of a system of simultaneous equations with error components structure, Econometric Theory, 3, pp.223--246. Baltagi, B.H. (1981), Simultaneous equations with error components, Journal of econometrics, 17, pp.21--49. Baltagi, B.H. (2001) Econometric Analysis of Panel Data. John Wiley and sons. ltd.

Hausman, J.A. and W.E. Taylor (1981), Panel data and unobservable individual effects, Econometrica, 49, pp.1377--1398. Nerlove, M. (1971), Further evidence on the estimation of dynamic economic relations from a time--series of cross--sections, Econometrica, 39, pp.359--382.

Swamy, P.A.V.B. and S.S. Arora (1972), The exact finite sample properties of the estimators of coefficients in the error components regression models, Econometrica, 40, pp.261--275.

Wallace, T.D. and A. Hussain (1969), The use of error components models in combining cross section with time series data, Econometrica, 37(1), pp.55--72.

See Also

pdata.frame for the creation of a pdata.frame.

Examples

Run this code
library(Ecdat)
data(Produc)
Produc <-pdata.frame(Produc,"state","year")
zz <- plm(log(gsp)~log(pcap)+log(pc)+log(emp)+unemp,data=Produc)
summary(zz$random)

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