I see one reason why aggregation is causing larger, rather than smaller, standard errors.
The formula used, known as Bienaymé's formula, assumes that each variable you are
adding is independent of the others. In a map of the counties, this is clearly not the
case, since we know the counties are autocorrelated. Perhaps you can estimate the
covariance between counties and use that to more accurately estimate the variance using
the formula Var(sum(X_i))=sum(sum(Cov(X_i,X_j)).
This is the more appropriate way to calculate variance of a sum of random variables that
are not independent.
Isn't there a statistician in the room?
Steve
Steven Farber, Ph.D
Assistant Professor
Department of Geography
University or Utah
http://stevenfarber.wordpress.com
-----Original Message-----
From: ctpp-news-bounces(a)chrispy.net [mailto:ctpp-news-bounces@chrispy.net] On Behalf Of
liang.long(a)dot.gov
Sent: March-12-13 10:18 AM
To: ctpp-news(a)chrispy.net
Subject: Re: [CTPP] Working with County flow data
I can see why Census doesn't recommend do more than three variables at a time. When
you add 17 counties together, you get a much bigger area with more households sampled. In
theory, you should get a smaller MOEs compared each individual county. But if you derive
MOEs from those 17 counties, you will get a much bigger MOEs, which is contradictory to
the theory.
________________________________________
From: ctpp-news-bounces(a)chrispy.net [ctpp-news-bounces(a)chrispy.net] on behalf of Ed
Christopher [edc(a)berwyned.com]
Sent: Tuesday, March 12, 2013 11:15 AM
To: ctpp-news(a)chrispy.net
Subject: Re: [CTPP] Working with County flow data
Thanks--I know the spread sheet allows you to recalculate MOEs for more than three
variables but I remember doing more than 3 a while back and I was getting some wild MOEs.
When I dug into it I found something in the Census compass reports that said not to do
more than three variables at a time. I was hoping that someone figured out a way around
this.
Ed C
On Mar 12, 2013, at 9:59 AM, "Hoctor Mulmat, Darlanne"
<Darlanne.Mulmat@sandag.org<mailto:Darlanne.Mulmat@sandag.org>> wrote:
The New York State Data Center developed a Statistical Calculations Menu that includes an
option for computing the margin of error for the sum of three or more estimates. See
attached.
Darlanne Hoctor Mulmat
Applied Research Division - Criminal Justice/Public Policy San Diego Association of
Governments
619-699-7326
From: ctpp-news-bounces@chrispy.net<mailto:ctpp-news-bounces@chrispy.net>
[mailto:ctpp-news-bounces@chrispy.net] On Behalf Of
Ed.Christopher@dot.gov<mailto:Ed.Christopher@dot.gov>
Sent: Tuesday, March 12, 2013 6:57 AM
To: ctpp-news@chrispy.net<mailto:ctpp-news@chrispy.net>
Subject: [CTPP] Working with County flow data
Has anyone come up with some easy ways for collapsing and grouping counties together using
last week's county flow data and recalculating new MOEs. I have so many counties that
I want to group together that I am looking for a quick way that can handle
"lots" of counties. Another issue I am struggling with is that we are always
told not to group more than three variables at a time or the formulas for calculating the
new MOE do not really work. This is particularly troublesome especially if I am trying to
group 17 counties together. What it comes down to is 9 different calculations given that
I can only group 3 counties at a time together. Anyone figure out any short cuts or ways
around this short of disregarding the MOEs altogether? Given all the clustering that I am
looking at using the "cheat" sheets I am used to, I will be recalculating MOEs
for weeks.
Ed Christopher
<StatisticalCalculationsMenu.xls>
_______________________________________________
ctpp-news mailing list
ctpp-news@ryoko.chrispy.net<mailto:ctpp-news@ryoko.chrispy.net>
http://ryoko.chrispy.net/mailman/listinfo/ctpp-news
_______________________________________________
ctpp-news mailing list
ctpp-news(a)ryoko.chrispy.net
http://ryoko.chrispy.net/mailman/listinfo/ctpp-news