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Posted 02-06-2018 01:58 PM
(1412 views)

New-ish SAS user.

I need to generate some curves to fit some vaguely bell-shaped data. (I'm looking at female fertility by age, if that matters.) It looks like splines are the way to go, and PROC TRANSREG seems to be a great procedure to use here. What I'd like to do is add conditions that f(a)=f'(a)=0 for my curve, where a is either "endpoint" of my data (in this case, for a=14 and a=50). Two questions:

1. Can I do this within PROC TRANSREG? And a follow-up question: if I need to generate several spline curves and display them on a single graph (say, one for each year or something), how would I do this with this procedure? (My thinking is that maybe I could save the curves on the fly and then write them to a single graph or something?)

2. Is there a better procedure for this kind of thing? There are so many to choose from...

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There is nothing built into transreg that does what you want. The only way I have ever figured out to make transreg produce a function that passes through (or very close to) specific points is to add those points to the data set and give them a really big weight. In the example code below, I add two points to the data, one at the minimum and one at the maximum. I give those a big weight. Then, yes, you can create and output data set and create graphs with one or more functions by using PROC SGPLOT. I only illustrate one function, but you can add more statements to get more.

```
data x;
do i = 1 to 100;
x = normal(151);
y = exp(-0.5 * x * x) + 0.1 + 0.1 * normal(151);
output;
end;
run;
ods graphics on;
proc transreg data=x;
model ide(y) = spl(x / nkn=3);
output out=b p;
run;
proc means noprint data=x;
output out=m(where=(_stat_ in ('MIN', 'MAX')));
var x;
run;
data x2(drop=_stat_ min max);
retain min max;
if _n_ eq 1 then do;
set m(keep=x _stat_ where=(_stat_='MIN'));
min = x;
set m(keep=x _stat_ where=(_stat_='MAX'));
max = x;
end;
set x;
w = 1;
output;
if abs(x - min) le 1e-8 or abs(x - max) le 1e-8 then do;
w = 1e6;
y = 0;
output;
end;
run;
proc transreg data=x2 plots=fit(nocli);
model ide(y) = spl(x / nkn=3);
output out=b(where=(w=1)) p;
weight w;
run;
proc sort data=b;
by x;
run;
proc sgplot;
scatter y=y x=x;
series y=py x=x;
refline 0 / axis=y;
run;
```

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There is nothing built into transreg that does what you want. The only way I have ever figured out to make transreg produce a function that passes through (or very close to) specific points is to add those points to the data set and give them a really big weight. In the example code below, I add two points to the data, one at the minimum and one at the maximum. I give those a big weight. Then, yes, you can create and output data set and create graphs with one or more functions by using PROC SGPLOT. I only illustrate one function, but you can add more statements to get more.

```
data x;
do i = 1 to 100;
x = normal(151);
y = exp(-0.5 * x * x) + 0.1 + 0.1 * normal(151);
output;
end;
run;
ods graphics on;
proc transreg data=x;
model ide(y) = spl(x / nkn=3);
output out=b p;
run;
proc means noprint data=x;
output out=m(where=(_stat_ in ('MIN', 'MAX')));
var x;
run;
data x2(drop=_stat_ min max);
retain min max;
if _n_ eq 1 then do;
set m(keep=x _stat_ where=(_stat_='MIN'));
min = x;
set m(keep=x _stat_ where=(_stat_='MAX'));
max = x;
end;
set x;
w = 1;
output;
if abs(x - min) le 1e-8 or abs(x - max) le 1e-8 then do;
w = 1e6;
y = 0;
output;
end;
run;
proc transreg data=x2 plots=fit(nocli);
model ide(y) = spl(x / nkn=3);
output out=b(where=(w=1)) p;
weight w;
run;
proc sort data=b;
by x;
run;
proc sgplot;
scatter y=y x=x;
series y=py x=x;
refline 0 / axis=y;
run;
```

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