# st: Constructing assignment var for Spatial RDD: For each id in region 1 need shortest distance to an id in region 0

 From Stata Chris <[email protected]> To [email protected] Subject st: Constructing assignment var for Spatial RDD: For each id in region 1 need shortest distance to an id in region 0 Date Fri, 27 Nov 2009 17:49:22 -0500

```Dear Statalisters,

I would like to construct the assignment variable for a Spatial RDD,
i.e. for each village in either of two regions I would like to know
the distance to the border.

Now, while I know the x- and y-coordinate of each village in the
sample, I do not know the exact position of each point on the border;
So my idea was to compute for each village in region 1 (0) the
distance to each village in region 0 (1), as
d=sqrt[ (y_1-y_0)^2  +  (x_1-x_0)^2  ],
and then take for each the minimum of these as the value for the
assignment variable. Because both regions have quite a few villages, I
will need to compute many such distances, so I think it will probably
be best to do this with a loop. I have a rough idea of what the loop
should do, but I'm not entirely sure how exactly to communicate this
to Stata.

I am attaching the dataset, and below I provide a rough indication of
what I think are the necessary steps. If one of you was able to help
me put this into a syntax Stata does actually understand, that would
be awesome:

gen id1 = id if treatment==1
gen id0 = id if treatment==0
for each id1 {
for each id0 {
gen dist_id1_id0 = sqrt(  (zkx{id1}-zkx{id0})^2   +
(zky{id1}-zky{id0})^2 )
gen assignmentvar_id1 = min (of all dist_id1_*)
}
}

And then do the same also the other way round.

Thank you so much,
Chris
```

Attachment: assignment_variable.dta
Description: Binary data

• Follow-Ups: