On Dec 22, 2008, at 11:38 PM, sp wrote:

Hi,

I read data from a file. I'm trying to understand how to use Design.rcs by using simple test data first. I use 1000 integer values (1,...,1000) for x (the predictor) with some noise (x+.02*x) and I set the response variable y=x. Then, I try rcs and ols as follows:

Not sure what sort of noise that is.

m = ( sqrt(y1) ~ ( rcs(x1,3) ) ); #I tried without sqrt also
f = ols(m, data=data_train.df);
print(f);

[I plot original x1,y1 vectors and the regression as in
y <- coef2[1] + coef2[2]*x1 + coef2[3]*x1*x1]

That does not look as though it would capture the structure of a restricted **cubic** spline. The usual method in Design for plotting a model prediction would be:

plot(f, x1 = NA)



But this gives me a VERY bad fit:
"

Can you give some hint why you consider this to be a "VERY bad fit"? It appears a rather good fit to me, despite the test case apparently not being construct with any curvature which is what the rcs modeling strategy should be detecting.

--
David Winsemius

Linear Regression Model

ols(formula = m, data = data_train.df)

        n Model L.R.       d.f.         R2      Sigma
     1000       4573          2     0.9897       0.76

Residuals:
     Min        1Q    Median        3Q       Max
-4.850930 -0.414008 -0.009648  0.418537  3.212079

Coefficients:
            Value Std. Error      t Pr(>|t|)
Intercept  5.90958  0.0672612  87.86        0
x1         0.03679  0.0002259 162.88        0
x1'       -0.01529  0.0002800 -54.60        0

Residual standard error: 0.76 on 997 degrees of freedom
Adjusted R-Squared: 0.9897
"

I appreciate any and all help!

Sincerely,
sp

______________________________________________
R-help@r-project.org mailing list
https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.

______________________________________________
R-help@r-project.org mailing list
https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.

Reply via email to