# [R] restricted coefficient and factor in linear regression.

From: Oh Dong-hyun <oh.dongh_at_gmail.com>
Date: Sat, 14 Jun 2008 14:49:44 +0200

Hi,

I would like to estimate Lee and Schmidts (1993, OUP) model in R.

• di# and dt# are dummy variables for industry and time ** data a2; merge a1 a2 a; by id yr; proc sysnlin maxit=100 outest=beta2; endogenous y; exogenous l e k di1-di12 dt2-dt10; parms a0 0.94 al -0.14 ae 1.8 ak -0.9 b1 0 b2 0 b3 0 b4 0 b5 0 b6 0 b7 0 b8 0 b9 0 b10 0 b11 0 b12 0 c2 0 c3 0 c4 0 c5 0 c6 0 c7 0 c8 0 c9 0 c10 0; y=a0+al*l+ae*e+ak*k +(b1*di1+b2*di2+b3*di3+b4*di4+b5*di5+b6*di6 +b7*di7+b8*di8+b9*di9+b10*di10+b11*di11+b12*di12)* (1*dt1+c2*dt2+c3*dt3+c4*dt4+c5*dt5+c6*dt6+c7*dt7 +c8*dt8+c9*dt9+c10*dt10); title '***** lee/schmidt parameter estimates *****';

My R code is as follows:
##############
library(plm)
dt <- read.table("dt.dta", sep = "\t", header= T)

```dt\$id <- factor(dt\$id)
dt\$yr <- factor(dt\$yr)
fit.model <- I(log(y)) ~ I(log(l)) + I(log(e)) + yr * id
```
re.fit.gls <- pggls(fit.model, data = dt)
```#################

```

I've got the following error message:
##### Error message ###############
Error in dimnames(x) <- dn :
length of 'dimnames' [2] not equal to array extent #### End of Error message############

I would like to figure out three things. 1. How can I restrict coefficient in model? As you can see in SAS code, coefficient of dt1 is restricted to 1. 2. If it is possible to restrict coefficients, it is possible to restrict coefficients of factors? If so, how?