[R] Large mixed & crossed-effect model looking at educational spending on crime rates with error messages

[Patrick (Malone Quantitative)]

(And post in plain text)

On Tue, Sep 3, 2019 at 10:34 AM Bert Gunter <bgunter.4567 using gmail.com> wrote:
>
> You should post this on the R-sig-mixed-models list, not here. When you do
> so, use ?dput to include data, not cut and paste.
>
> Cheers,
> Bert
>
>
> On Tue, Sep 3, 2019 at 6:10 AM Ades, James <jades using ucsd.edu> wrote:
>
> >
> > I posted my question at Stack Overflow, where it didn’t get much of a
> > response, and I was pointed in this direction by Ben Bolker. I’m happy to
> > send the whole dataset to anyone who wants but thought that it would be
> > presumptuous to include an enormous dput() here.
> >
> > I’m looking at the effects of education spending per school district on
> > crime rate (FBI crime data/UCR) within the cities and towns those school
> > districts serve over a fifteen year period. The DV now has 203,410
> > observations of city/town crime data over those fifteen years. (I use that
> > figure with some reticence, because there are so many moving parts and
> > things to account for, but having employed over 100 datasets and hours
> > passing through the code again, I think that figure is correct.)
> >
> > Cities are technically crossed with school district, in that one city
> > might attend multiple school districts. This means that one city could have
> > multiple values for expenditure per student. School districts, however,
> > also overlap with counties. As if things weren’t complicated enough, cities
> > are mostly nested within county (though there are cities that exist in two
> > counties, but it’s not often, and it’s usually by a small amount). Given
> > that each city/town has a distinct PLACE_ID, my understanding is that this
> > could be represented as (1|PLACE_ID) + (1|STATE/COUNTY_ID) or
> > (1|STATE/COUNTY_ID/PLACE_ID).
> >
> > I’m pretty familiar with mixed-effect models, and I’ve looked through
> > clear and informative posts such as this one:
> > https://stats.stackexchange.com/questions/228800/crossed-vs-nested-random-effects-how-do-they-differ-and-how-are-they-specified.
> > I believe things would remain sane to include school district
> > (full_district_id) as another crossed effect, as below:
> > glmer.total <- glmer(CRIME_TOTAL ~ 1 + (year|PLACE_ID) +
> > (1|STATE/COUNTY_ID) + (year|full_district_id), family = "poisson", control
> > = glmerControl(optimizer = "nloptwrap", calc.derivs = FALSE), REML = FALSE,
> > total.years, na.action = "na.omit")
> >
> > Variables (not included in this model, to keep things null and simple) are
> > centered and logged: pop per city, pop.dens per city, year, unemployment
> > rate per county, proportion children living in poverty per school district,
> > per capita income per county, difference in those who voted democrat in
> > presidential elections per county, log enforcement per city/town, centered
> > expenditure per student/ 1000 (per school district). PLACE_ID corresponds
> > to cities and towns, COUNTY_ID to counties, full_district_id to school
> > districts, and state.
> >
> > First, if I try to run the full model, using UCSD’s supercomputer, I get
> > the error that the job was killed, presumably because it got to a point
> > where it consumed too much ram (I think 125mb).
> >
> > I then tried to create a small subsection of data with arrange(STATE,
> > COUNTY_ID, PLACE_ID) and then slicing by the first ten states (up through
> > Delaware), so that I have 26,599 values. If I run this null model with the
> > above code, I get the following error:
> >
> > ```
> > Error in getOptfun(optimizer) :
> >   optimizer function must use (at least) formal parameters ‘fn’, ‘par’,
> > ‘lower’, ‘control’
> > ```
> >
> > Then I tried with the optimx, with these configurations: control =
> > glmerControl(optimizer = "optimx”,
> > optCtrl = list(method = "nlminb”,
> > maxit=10000,
> > iter.max=10000,
> > eval.max=10000,
> > lower = c(0,0,0),
> > upper = c(Inf,10,1)))
> >
> > and I received the following warning…since this is a null model, there
> > aren’t any variables to really rescale.\
> >
> > ```
> > Warning messages:
> > 1: In nlminb(start = par, objective = ufn, gradient = ugr, lower = lower,
> > :
> >   unrecognized control elements named ‘lower’, ‘upper’ ignored
> > 2: In nlminb(start = par, objective = ufn, gradient = ugr, lower = lower,
> > :
> >   unrecognized control elements named ‘lower’, ‘upper’ ignored
> > 3: In checkConv(attr(opt, "derivs"), opt$par, ctrl = control$checkConv,  :
> >   Model failed to converge with max|grad| = 0.00102386 (tol = 0.001,
> > component 1)
> > 4: In checkConv(attr(opt, "derivs"), opt$par, ctrl = control$checkConv,  :
> >   Model is nearly unidentifiable: very large eigenvalue
> >  - Rescale variables?
> > ```
> >
> > I then tried more values (to 92,486, through Missouri). First, I tried the
> > optimizer nloptr, and then I tried the optimix. I still received the same
> > above errors.
> >
> > I’ve checked and rechecked everything, so I wanted to solicit advice,
> > either for where I might be going wrong, or for what I could do to resolve
> > these error messages.
> >
> > I’ve provided a brief snippet of the data below (randomly pulling a number
> > of cities within counties of Arkansas, Arizona, and Alabama, as a dput.
> >
> > Thanks!
> >
> >
> >
> >
> > 231, 206, 935, 1070, 974, 1108, 1244, 1095, 1131, 1151, 1420,
> > 1316, 1321, 1414, 1484), full_district_id = c("0100240", "0100240",
> > "0100240", "0100240", "0100240", "0100240", "0100240", "0100240",
> > "0100240", "0100240", "0100240", "0100240", "0100240", "0100240",
> > "0100240", "0100240", "0100240", "0100240", "0100240", "0100240",
> > "0100240", "0100240", "0100240", "0100240", "0100240", "0100240",
> > "0100240", "0100240", "0100240", "0100240", "0100240", "0100270",
> > "0100270", "0100270", "0100270", "0100270", "0100270", "0100270",
> > "0100270", "0100270", "0100270", "0100270", "0100270", "0100270",
> > "0100270", "0100270", "0100270", "0100270", "0100270", "0100270",
> > "0100270", "0100270", "0100270", "0100270", "0100270", "0100270",
> > "0100270", "0100270", "0100270", "0100270", "0100270", "0100270",
> > "0100270", "0100270", "0100270", "0100270", "0100270", "0100270",
> > "0100270", "0100270", "0100270", "0100270", "0100270", "0100270",
> > "0100270", "0100270", "0100270", "0100270", "0100270", "0100270",
> > "0100270", "0100270", "0100270", "0100270", "0100270", "0100270",
> > "0100270", "0100270", "0100270", "0100270", "0100270", "0100270",
> > "0100270", "0100270", "0100270", "0100270", "0100270", "0100270",
> > "0100270", "0100270", "0100270", "0100270", "0100270", "0100270",
> > "0100270", "0100270", "0100270", "0100270", "0100270", "0100270",
> > "0100270", "0100270", "0100270", "0100270", "0100270", "0100270",
> > "0100270", "0100270", "0100270", "0100270", "0100270", "0100270",
> > "0100270", "0100270", "0100270", "0100270", "0100270", "0100270",
> > "0100270", "0100270", "0100270", "0100270", "0100270", "0100270",
> > "0100270", "0100270", "0100270", "0100270", "0100270", "0100270",
> > "0100270", "0100270", "0100270", "0100270", "0100270", "0100270",
> > "0100270", "0100270", "0100270", "0100270", "0100270", "0100270",
> > "0100270", "0100270", "0100270", "0100270", "0100270", "0100270",
> > "0100270", "0100270", "0100270", "0100270", "0100270", "0100270",
> > "0100270", "0100270", "0407130", "0407130", "0407130", "0407130",
> > "0407130", "0407130", "0407130", "0407130", "0407130", "0407130",
> > "0407130", "0407130", "0407130", "0407130", "0408080", "0408080",
> > "0408080", "0408080", "0408080", "0407130", "0407130", "0407130",
> > "0407130", "0407130", "0407130", "0407130", "0407130", "0407130",
> > "0407130", "0407130", "0407130", "0407130", "0400212", "0408020",
> > "0400212", "0408020", "0400212", "0408020", "0400212", "0408020",
> > "0400212", "0408020", "0400212", "0408020", "0401180", "0401180",
> > "0401180", "0401180", "0401180", "0401180", "0401180", "0401180",
> > "0401180", "0402530", "0402530", "0402530", "0402530", "0402530",
> > "0402530", "0402530", "0402530", "0408600", "0408600", "0408600",
> > "0408600", "0408600", "0408600", "0408600", "0408600", "0408600",
> > "0403150", "0401460", "0403150", "0401460", "0403150", "0401460",
> > "0403150", "0401460", "0403150", "0401460", "0403150", "0401460",
> > "0401460", "0403150", "0401460", "0403150", "0401460", "0403150",
> > "0401460", "0401460", "0401460", "0401460", "0408600", "0408600",
> > "0408600", "0408600", "0409250", "0409250", "0409250", "0409250",
> > "0409250", "0409250", "0409250", "0409250", "0409250", "0409250",
> > "0409250", "0409250", "0409250", "0402860", "0402860", "0402860",
> > "0402860", "0402860", "0402860", "0402860", "0402860", "0402860",
> > "0402860", "0402860", "0402860", "0402860", "0402860", "0402860",
> > "0403080", "0403080", "0403080", "0403080", "0403080", "0403080",
> > "0403080", "0403080", "0403080", "0403080", "0403080", "0403080",
> > "0403080", "0403080", "0405820", "0403080", "0405820", "0403080",
> > "0405820", "0403080", "0405820", "0403080", "0405820", "0403080",
> > "0405820", "0403080", "0405820", "0403080", "0405820", "0403080",
> > "0405820", "0403080", "0405820", "0402860", "0402860", "0402860",
> > "0402860", "0402860", "0402860", "0402860", "0402860", "0402860",
> > "0402860", "0402860", "0409310", "0409310", "0409310", "0409310",
> > "0409310", "0409310", "0409310", "0409310", "0409310", "0409310",
> > "0409310", "0403500", "0405030", "0403500", "0405030", "0403500",
> > "0405030", "0403500", "0405030", "0403500", "0405030", "0403500",
> > "0405030", "0403500", "0405030", "0403500", "0405030", "0403500",
> > "0405030", "0403500", "0405030", "0403500", "0405030", "0403730",
> > "0405030", "0405030", "0405030", "0405030", "0405030", "0405030",
> > "0405030", "0405030", "0405030", "0405030", "0405030", "0405030",
> > "0405030", "0406070", "0406070", "0406070", "0406070", "0406070",
> > "0406070", "0406070", "0406070", "0406070", "0406070", "0406070",
> > "0406070", "0406440", "0406440", "0406440", "0406440", "0406440",
> > "0406440", "0406440", "0406440", "0406440", "0406440", "0406440",
> > "0406440", "0407240", "0408410", "0407240", "0408410", "0407240",
> > "0408410", "0407240", "0408410", "0407240", "0408410", "0407240",
> > "0408410", "0407240", "0408410", "0407240", "0408410", "0407240",
> > "0408410", "0407240", "0408410", "0407240", "0408410", "0407240",
> > "0408410", "0407240", "0408410", "0407240", "0408410", "0407240",
> > "0408410", "0407240", "0408410", "0407240", "0408410", "0407240",
> > "0408410", "0402110", "0405320", "0402110", "0405320", "0402110",
> > "0405320", "0402110", "0405320", "0402110", "0405320", "0402110",
> > "0405320", "0405320", "0402110", "0405320", "0402110", "0405320",
> > "0405980", "0405980", "0405980", "0405980", "0405980", "0405980",
> > "0405980", "0509000", "0509000", "0509000", "0509000", "0509000",
> > "0509000", "0509000", "0509000", "0509000", "0509000", "0509000",
> > "0509000", "0511850", "0511850", "0511850", "0511850", "0511850",
> > "0511850", "0511850", "0511850", "0511850", "0511850", "0511850",
> > "0511850", "0509000", "0511850", "0509000", "0511850", "0509000",
> > "0511850", "0509000", "0511850", "0509000", "0511850", "0509000",
> > "0511850", "0509000", "0511850", "0509000", "0511850", "0509000",
> > "0511850", "0509000", "0511850", "0509000", "0511850", "0509000",
> > "0511850", "0509000", "0511850", "0511850", "0511850", "0511850",
> > "0511850", "0511850", "0511850", "0511850", "0511850", "0511850",
> > "0511850", "0511850", "0511850", "0511850", "0510680", "0511850",
> > "0510680", "0511850", "0510680", "0511850", "0510680", "0511850",
> > "0510680", "0511850", "0510680", "0511850", "0510680", "0511850",
> > "0510680", "0511850", "0510680", "0511850", "0510680", "0511850",
> > "0510680", "0511850", "0510680", "0511850", "0510680", "0511850",
> > "0511850", "0511850", "0511850", "0511850", "0510680", "0511850",
> > "0510680", "0511850", "0510680", "0511850", "0510680", "0511850",
> > "0510680", "0511850", "0510680", "0511850", "0510680", "0511850",
> > "0510680", "0511850", "0510680", "0511850", "0510680", "0511850",
> > "0510680", "0511850", "0510680", "0511850", "0510680", "0511850",
> > "0500009", "0500009", "0500009", "0500009", "0500009", "0500009",
> > "0500009", "0500009", "0500009", "0500009", "0509270", "0509270",
> > "0509270", "0513080", "0513080", "0513080", "0513080", "0513080",
> > "0513080", "0513080", "0513080", "0513080", "0513080", "0513080",
> > "0513080", "0513080", "0511610", "0511610", "0511610", "0511610",
> > "0511610", "0511610", "0511610", "0511610", "0511610", "0511610",
> > "0512480", "0512480", "0512480", "0512480", "0506270", "0506270",
> > "0506270", "0506270", "0506270", "0506270", "0506270", "0506270",
> > "0506270", "0506270", "0508040", "0508040", "0508040", "0508040",
> > "0508040", "0508040", "0503690", "0503690", "0502790", "0502960",
> > "0503690", "0507320", "0502790", "0502960", "0503690", "0507320",
> > "0502790", "0502960", "0503690", "0507320", "0502790", "0502960",
> > "0503690", "0507320", "0502790", "0502960", "0503690", "0507320",
> > "0502790", "0502960", "0503690", "0507320", "0502790", "0502960",
> > "0503690", "0507320", "0502790", "0502960", "0503690", "0507320",
> > "0502790", "0502960", "0503690", "0507320", "0502790", "0502960",
> > "0503690", "0507320", "0502790", "0502960", "0503690", "0507320",
> > "0502790", "0502960", "0503690", "0507320", "0502790", "0502960",
> > "0503690", "0507320", "0503690", "0503690", "0503690", "0503690",
> > "0503690", "0503690", "0503690", "0503690", "0503690", "0503690",
> > "0503690", "0506420", "0506420", "0506420", "0506420", "0506420",
> > "0506420", "0506420", "0506420", "0506420", "0506420", "0506420",
> > "0511850", "0511850", "0511850", "0511850", "0511850", "0511850",
> > "0511850", "0511850", "0511850", "0511850", "0511850", "0511850",
> > "0511850", "0511850", "0511850", "0511850", "0511850", "0511850",
> > "0511850", "0511850", "0511850", "0511850", "0511850", "0511850",
> > "0511850", "0511850", "0511850", "0511850", "0511850", "0511850",
> > "0511850", "0511850", "0511850", "0511850", "0511850", "0511850",
> > "0511850", "0511850", "0511850", "0511850", "0511850", "0511850",
> > "0511850", "0511850", "0511850", "0511850", "0511850", "0511850",
> > "0511850", "0511850", "0511850", "0503690", "0511850", "0503690",
> > "0511850", "0503690", "0511850", "0503690", "0511850", "0500015",
> > "0500015", "0500015", "0500015", "0500015", "0500015", "0500015",
> > "0500015", "0500015", "0500015", "0500015", "0500015", "0511850",
> > "0511850", "0511850", "0511850", "0511850", "0511850", "0511850",
> > "0511850", "0511850", "0511850", "0511850", "0511850", "0511850"
> > ), COUNTY = c("autauga county", "autauga county", "autauga county",
> > "autauga county", "autauga county", "autauga county", "autauga county",
> > "autauga county", "autauga county", "autauga county", "autauga county",
> > "autauga county", "autauga county", "autauga county", "autauga county",
> > "autauga county", "autauga county", "autauga county", "autauga county",
> > "autauga county", "autauga county", "autauga county", "autauga county",
> > "autauga county", "autauga county", "autauga county", "autauga county",
> > "autauga county", "autauga county", "autauga county", "autauga county",
> > "baldwin county", "baldwin county", "baldwin county", "baldwin county",
> > "baldwin county", "baldwin county", "baldwin county", "baldwin county",
> > "baldwin county", "baldwin county", "baldwin county", "baldwin county",
> > "baldwin county", "baldwin county", "baldwin county", "baldwin county",
> > "baldwin county", "baldwin county", "baldwin county", "baldwin county",
> > "baldwin county", "baldwin county", "baldwin county", "baldwin county",
> > "baldwin county", "baldwin county", "baldwin county", "baldwin county",
> > "baldwin county", "baldwin county", "baldwin county", "baldwin county",
> > "baldwin county", "baldwin county", "baldwin county", "baldwin county",
> > "baldwin county", "baldwin county", "baldwin county", "baldwin county",
> > "baldwin county", "baldwin county", "baldwin county", "baldwin county",
> > "baldwin county", "baldwin county", "baldwin county", "baldwin county",
> > "baldwin county", "baldwin county", "baldwin county", "baldwin county",
> > "baldwin county", "baldwin county", "baldwin county", "baldwin county",
> > "baldwin county", "baldwin county", "baldwin county", "baldwin county",
> > "baldwin county", "baldwin county", "baldwin county", "baldwin county",
> > "baldwin county", "baldwin county", "baldwin county", "baldwin county",
> > "baldwin county", "baldwin county", "baldwin county", "baldwin county",
> > "baldwin county", "baldwin county", "baldwin county", "baldwin county",
> > "baldwin county", "baldwin county", "baldwin county", "baldwin county",
> > "baldwin county", "baldwin county", "baldwin county", "baldwin county",
> > "baldwin county", "baldwin county", "baldwin county", "baldwin county",
> > "baldwin county", "baldwin county", "baldwin county", "baldwin county",
> > "baldwin county", "baldwin county", "baldwin county", "baldwin county",
> > "baldwin county", "baldwin county", "baldwin county", "baldwin county",
> > "baldwin county", "baldwin county", "baldwin county", "baldwin county",
> > "baldwin county", "baldwin county", "baldwin county", "baldwin county",
> > "baldwin county", "baldwin county", "baldwin county", "baldwin county",
> > "baldwin county", "baldwin county", "baldwin county", "baldwin county",
> > "baldwin county", "baldwin county", "baldwin county", "baldwin county",
> > "baldwin county", "baldwin county", "baldwin county", "baldwin county",
> > "baldwin county", "baldwin county", "baldwin county", "baldwin county",
> > "baldwin county", "baldwin county", "baldwin county", "baldwin county",
> > "baldwin county", "baldwin county", "baldwin county", "apache county",
> > "apache county", "apache county", "apache county", "apache county",
> > "apache county", "apache county", "apache county", "apache county",
> > "apache county", "apache county", "apache county", "apache county",
> > "apache county", "apache county", "apache county", "apache county",
> > "apache county", "apache county", "apache county", "apache county",
> > "apache county", "apache county", "apache county", "apache county",
> > "apache county", "apache county", "apache county", "apache county",
> > "apache county", "apache county", "apache county", "cochise county",
> > "cochise county", "cochise county", "cochise county", "cochise county",
> > "cochise county", "cochise county", "cochise county", "cochise county",
> > "cochise county", "cochise county", "cochise county", "cochise county",
> > "cochise county", "cochise county", "cochise county", "cochise county",
> > "cochise county", "cochise county", "cochise county", "cochise county",
> > "cochise county", "cochise county", "cochise county", "cochise county",
> > "cochise county", "cochise county", "cochise county", "cochise county",
> > "cochise county", "cochise county", "cochise county", "cochise county",
> > "cochise county", "cochise county", "cochise county", "cochise county",
> > "cochise county", "cochise county", "cochise county", "cochise county",
> > "cochise county", "cochise county", "cochise county", "cochise county",
> > "cochise county", "cochise county", "cochise county", "cochise county",
> > "cochise county", "cochise county", "cochise county", "cochise county",
> > "cochise county", "cochise county", "cochise county", "cochise county",
> > "cochise county", "cochise county", "cochise county", "cochise county",
> > "cochise county", "cochise county", "cochise county", "cochise county",
> > "cochise county", "cochise county", "cochise county", "cochise county",
> > "cochise county", "cochise county", "cochise county", "cochise county",
> > "cochise county", "cochise county", "cochise county", "cochise county",
> > "coconino county", "coconino county", "coconino county", "coconino county",
> > "coconino county", "coconino county", "coconino county", "coconino county",
> > "coconino county", "coconino county", "coconino county", "coconino county",
> > "coconino county", "coconino county", "coconino county", "coconino county",
> > "coconino county", "coconino county", "coconino county", "coconino county",
> > "coconino county", "coconino county", "coconino county", "coconino county",
> > "coconino county", "coconino county", "coconino county", "coconino county",
> > "coconino county", "coconino county", "coconino county", "coconino county",
> > "coconino county", "coconino county", "coconino county", "coconino county",
> > "coconino county", "coconino county", "coconino county", "coconino county",
> > "coconino county", "coconino county", "coconino county", "coconino county",
> > "coconino county", "coconino county", "coconino county", "coconino county",
> > "coconino county", "coconino county", "coconino county", "coconino county",
> > "coconino county", "coconino county", "coconino county", "coconino county",
> > "coconino county", "coconino county", "coconino county", "coconino county",
> > "coconino county", "coconino county", "coconino county", "coconino county",
> > "coconino county", "coconino county", "coconino county", "coconino county",
> > "coconino county", "coconino county", "gila county", "gila county",
> > "gila county", "gila county", "gila county", "gila county", "gila county",
> > "gila county", "gila county", "gila county", "gila county", "gila county",
> > "gila county", "gila county", "gila county", "gila county", "gila county",
> > "gila county", "gila county", "gila county", "gila county", "gila county",
> > "gila county", "gila county", "gila county", "gila county", "gila county",
> > "gila county", "gila county", "gila county", "gila county", "gila county",
> > "gila county", "gila county", "gila county", "gila county", "gila county",
> > "gila county", "gila county", "gila county", "gila county", "gila county",
> > "gila county", "gila county", "gila county", "gila county", "gila county",
> > "gila county", "graham county", "graham county", "graham county",
> > "graham county", "graham county", "graham county", "graham county",
> > "graham county", "graham county", "graham county", "graham county",
> > "graham county", "graham county", "graham county", "graham county",
> > "graham county", "graham county", "graham county", "graham county",
> > "graham county", "graham county", "graham county", "graham county",
> > "graham county", "graham county", "graham county", "graham county",
> > "graham county", "graham county", "graham county", "graham county",
> > "graham county", "graham county", "graham county", "graham county",
> > "graham county", "graham county", "graham county", "graham county",
> > "graham county", "graham county", "graham county", "graham county",
> > "graham county", "graham county", "graham county", "graham county",
> > "graham county", "greenlee county", "greenlee county", "greenlee county",
> > "greenlee county", "greenlee county", "greenlee county", "greenlee county",
> > "greenlee county", "greenlee county", "greenlee county", "greenlee county",
> > "greenlee county", "greenlee county", "greenlee county", "greenlee county",
> > "greenlee county", "greenlee county", "la paz county", "la paz county",
> > "la paz county", "la paz county", "la paz county", "la paz county",
> > "la paz county", "pulaski county", "pulaski county", "pulaski county",
> > "pulaski county", "pulaski county", "pulaski county", "pulaski county",
> > "pulaski county", "pulaski county", "pulaski county", "pulaski county",
> > "pulaski county", "pulaski county", "pulaski county", "pulaski county",
> > "pulaski county", "pulaski county", "pulaski county", "pulaski county",
> > "pulaski county", "pulaski county", "pulaski county", "pulaski county",
> > "pulaski county", "pulaski county", "pulaski county", "pulaski county",
> > "pulaski county", "pulaski county", "pulaski county", "pulaski county",
> > "pulaski county", "pulaski county", "pulaski county", "pulaski county",
> > "pulaski county", "pulaski county", "pulaski county", "pulaski county",
> > "pulaski county", "pulaski county", "pulaski county", "pulaski county",
> > "pulaski county", "pulaski county", "pulaski county", "pulaski county",
> > "pulaski county", "pulaski county", "pulaski county", "pulaski county",
> > "pulaski county", "pulaski county", "pulaski county", "pulaski county",
> > "pulaski county", "pulaski county", "pulaski county", "pulaski county",
> > "pulaski county", "pulaski county", "pulaski county", "pulaski county",
> > "pulaski county", "pulaski county", "pulaski county", "pulaski county",
> > "pulaski county", "pulaski county", "pulaski county", "pulaski county",
> > "pulaski county", "pulaski county", "pulaski county", "pulaski county",
> > "pulaski county", "pulaski county", "pulaski county", "pulaski county",
> > "pulaski county", "pulaski county", "pulaski county", "pulaski county",
> > "pulaski county", "pulaski county", "pulaski county", "pulaski county",
> > "pulaski county", "pulaski county", "pulaski county", "pulaski county",
> > "pulaski county", "pulaski county", "pulaski county", "pulaski county",
> > "pulaski county", "pulaski county", "pulaski county", "pulaski county",
> > "pulaski county", "pulaski county", "pulaski county", "pulaski county",
> > "pulaski county", "pulaski county", "pulaski county", "pulaski county",
> > "pulaski county", "pulaski county", "pulaski county", "pulaski county",
> > "pulaski county", "pulaski county", "pulaski county", "pulaski county",
> > "pulaski county", "pulaski county", "pulaski county", "pulaski county",
> > "randolph county", "randolph county", "randolph county", "randolph county",
> > "randolph county", "randolph county", "randolph county", "randolph county",
> > "randolph county", "randolph county", "randolph county", "randolph county",
> > "randolph county", "randolph county", "randolph county", "randolph county",
> > "randolph county", "randolph county", "randolph county", "randolph county",
> > "randolph county", "randolph county", "randolph county", "randolph county",
> > "randolph county", "randolph county", "randolph county", "randolph county",
> > "randolph county", "randolph county", "randolph county", "randolph county",
> > "randolph county", "randolph county", "randolph county", "randolph county",
> > "randolph county", "randolph county", "randolph county", "randolph county",
> > "st. francis county", "st. francis county", "st. francis county",
> > "st. francis county", "st. francis county", "st. francis county",
> > "st. francis county", "st. francis county", "st. francis county",
> > "st. francis county", "st. francis county", "st. francis county",
> > "st. francis county", "st. francis county", "st. francis county",
> > "st. francis county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county", "saline county", "saline county", "saline county",
> > "saline county"), COUNTY_ID = c("01001", "01001", "01001", "01001",
> > "01001", "01001", "01001", "01001", "01001", "01001", "01001",
> > "01001", "01001", "01001", "01001", "01001", "01001", "01001",
> > "01001", "01001", "01001", "01001", "01001", "01001", "01001",
> > "01001", "01001", "01001", "01001", "01001", "01001", "01003",
> > "01003", "01003", "01003", "01003", "01003", "01003", "01003",
> > "01003", "01003", "01003", "01003", "01003", "01003", "01003",
> > "01003", "01003", "01003", "01003", "01003", "01003", "01003",
> > "01003", "01003", "01003", "01003", "01003", "01003", "01003",
> > "01003", "01003", "01003", "01003", "01003", "01003", "01003",
> > "01003", "01003", "01003", "01003", "01003", "01003", "01003",
> > "01003", "01003", "01003", "01003", "01003", "01003", "01003",
> > "01003", "01003", "01003", "01003", "01003", "01003", "01003",
> > "01003", "01003", "01003", "01003", "01003", "01003", "01003",
> > "01003", "01003", "01003", "01003", "01003", "01003", "01003",
> > "01003", "01003", "01003", "01003", "01003", "01003", "01003",
> > "01003", "01003", "01003", "01003", "01003", "01003", "01003",
> > "01003", "01003", "01003", "01003", "01003", "01003", "01003",
> > "01003", "01003", "01003", "01003", "01003", "01003", "01003",
> > "01003", "01003", "01003", "01003", "01003", "01003", "01003",
> > "01003", "01003", "01003", "01003", "01003", "01003", "01003",
> > "01003", "01003", "01003", "01003", "01003", "01003", "01003",
> > "01003", "01003", "01003", "01003", "01003", "01003", "01003",
> > "01003", "01003", "01003", "01003", "01003", "01003", "01003",
> > "01003", "04001", "04001", "04001", "04001", "04001", "04001",
> > "04001", "04001", "04001", "04001", "04001", "04001", "04001",
> > "04001", "04001", "04001", "04001", "04001", "04001", "04001",
> > "04001", "04001", "04001", "04001", "04001", "04001", "04001",
> > "04001", "04001", "04001", "04001", "04001", "04003", "04003",
> > "04003", "04003", "04003", "04003", "04003", "04003", "04003",
> > "04003", "04003", "04003", "04003", "04003", "04003", "04003",
> > "04003", "04003", "04003", "04003", "04003", "04003", "04003",
> > "04003", "04003", "04003", "04003", "04003", "04003", "04003",
> > "04003", "04003", "04003", "04003", "04003", "04003", "04003",
> > "04003", "04003", "04003", "04003", "04003", "04003", "04003",
> > "04003", "04003", "04003", "04003", "04003", "04003", "04003",
> > "04003", "04003", "04003", "04003", "04003", "04003", "04003",
> > "04003", "04003", "04003", "04003", "04003", "04003", "04003",
> > "04003", "04003", "04003", "04003", "04003", "04003", "04003",
> > "04003", "04003", "04003", "04003", "04003", "04005", "04005",
> > "04005", "04005", "04005", "04005", "04005", "04005", "04005",
> > "04005", "04005", "04005", "04005", "04005", "04005", "04005",
> > "04005", "04005", "04005", "04005", "04005", "04005", "04005",
> > "04005", "04005", "04005", "04005", "04005", "04005", "04005",
> > "04005", "04005", "04005", "04005", "04005", "04005", "04005",
> > "04005", "04005", "04005", "04005", "04005", "04005", "04005",
> > "04005", "04005", "04005", "04005", "04005", "04005", "04005",
> > "04005", "04005", "04005", "04005", "04005", "04005", "04005",
> > "04005", "04005", "04005", "04005", "04005", "04005", "04005",
> > "04005", "04005", "04005", "04005", "04005", "04007", "04007",
> > "04007", "04007", "04007", "04007", "04007", "04007", "04007",
> > "04007", "04007", "04007", "04007", "04007", "04007", "04007",
> > "04007", "04007", "04007", "04007", "04007", "04007", "04007",
> > "04007", "04007", "04007", "04007", "04007", "04007", "04007",
> > "04007", "04007", "04007", "04007", "04007", "04007", "04007",
> > "04007", "04007", "04007", "04007", "04007", "04007", "04007",
> > "04007", "04007", "04007", "04007", "04009", "04009", "04009",
> > "04009", "04009", "04009", "04009", "04009", "04009", "04009",
> > "04009", "04009", "04009", "04009", "04009", "04009", "04009",
> > "04009", "04009", "04009", "04009", "04009", "04009", "04009",
> > "04009", "04009", "04009", "04009", "04009", "04009", "04009",
> > "04009", "04009", "04009", "04009", "04009", "04009", "04009",
> > "04009", "04009", "04009", "04009", "04009", "04009", "04009",
> > "04009", "04009", "04009", "04011", "04011", "04011", "04011",
> > "04011", "04011", "04011", "04011", "04011", "04011", "04011",
> > "04011", "04011", "04011", "04011", "04011", "04011", "04012",
> > "04012", "04012", "04012", "04012", "04012", "04012", "05119",
> > "05119", "05119", "05119", "05119", "05119", "05119", "05119",
> > "05119", "05119", "05119", "05119", "05119", "05119", "05119",
> > "05119", "05119", "05119", "05119", "05119", "05119", "05119",
> > "05119", "05119", "05119", "05119", "05119", "05119", "05119",
> > "05119", "05119", "05119", "05119", "05119", "05119", "05119",
> > "05119", "05119", "05119", "05119", "05119", "05119", "05119",
> > "05119", "05119", "05119", "05119", "05119", "05119", "05119",
> > "05119", "05119", "05119", "05119", "05119", "05119", "05119",
> > "05119", "05119", "05119", "05119", "05119", "05119", "05119",
> > "05119", "05119", "05119", "05119", "05119", "05119", "05119",
> > "05119", "05119", "05119", "05119", "05119", "05119", "05119",
> > "05119", "05119", "05119", "05119", "05119", "05119", "05119",
> > "05119", "05119", "05119", "05119", "05119", "05119", "05119",
> > "05119", "05119", "05119", "05119", "05119", "05119", "05119",
> > "05119", "05119", "05119", "05119", "05119", "05119", "05119",
> > "05119", "05119", "05119", "05119", "05119", "05119", "05119",
> > "05119", "05119", "05119", "05119", "05119", "05119", "05121",
> > "05121", "05121", "05121", "05121", "05121", "05121", "05121",
> > "05121", "05121", "05121", "05121", "05121", "05121", "05121",
> > "05121", "05121", "05121", "05121", "05121", "05121", "05121",
> > "05121", "05121", "05121", "05121", "05121", "05121", "05121",
> > "05121", "05121", "05121", "05121", "05121", "05121", "05121",
> > "05121", "05121", "05121", "05121", "05123", "05123", "05123",
> > "05123", "05123", "05123", "05123", "05123", "05123", "05123",
> > "05123", "05123", "05123", "05123", "05123", "05123", "05125",
> > "05125", "05125", "05125", "05125", "05125", "05125", "05125",
> > "05125", "05125", "05125", "05125", "05125", "05125", "05125",
> > "05125", "05125", "05125", "05125", "05125", "05125", "05125",
> > "05125", "05125", "05125", "05125", "05125", "05125", "05125",
> > "05125", "05125", "05125", "05125", "05125", "05125", "05125",
> > "05125", "05125", "05125", "05125", "05125", "05125", "05125",
> > "05125", "05125", "05125", "05125", "05125", "05125", "05125",
> > "05125", "05125", "05125", "05125", "05125", "05125", "05125",
> > "05125", "05125", "05125", "05125", "05125", "05125", "05125",
> > "05125", "05125", "05125", "05125", "05125", "05125", "05125",
> > "05125", "05125", "05125", "05125", "05125", "05125", "05125",
> > "05125", "05125", "05125", "05125", "05125", "05125", "05125",
> > "05125", "05125", "05125", "05125", "05125", "05125", "05125",
> > "05125", "05125", "05125", "05125", "05125", "05125", "05125",
> > "05125", "05125", "05125", "05125", "05125", "05125", "05125",
> > "05125", "05125", "05125", "05125", "05125", "05125", "05125",
> > "05125", "05125", "05125", "05125", "05125", "05125", "05125",
> > "05125", "05125", "05125", "05125", "05125", "05125", "05125",
> > "05125", "05125", "05125", "05125", "05125", "05125", "05125",
> > "05125", "05125", "05125", "05125", "05125", "05125", "05125",
> > "05125", "05125", "05125", "05125", "05125", "05125", "05125",
> > "05125", "05125", "05125", "05125", "05125", "05125", "05125",
> > "05125", "05125", "05125", "05125", "05125"), DISTRICT = c("Autauga County
> > School District",
> > "Autauga County School District", "Autauga County School District",
> > "Autauga County School District", "Autauga County School District",
> > "Autauga County School District", "Autauga County School District",
> > "Autauga County School District", "Autauga County School District",
> > "Autauga County School District", "Autauga County School District",
> > "Autauga County School District", "Autauga County School District",
> > "Autauga County School District", "Autauga County School District",
> > "Autauga County School District", "Autauga County School District",
> > "Autauga County School District", "Autauga County School District",
> > "Autauga County School District", "Autauga County School District",
> > "Autauga County School District", "Autauga County School District",
> > "Autauga County School District", "Autauga County School District",
> > "Autauga County School District", "Autauga County School District",
> > "Autauga County School District", "Autauga County School District",
> > "Autauga County School District", "Autauga County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Baldwin County School District",
> > "Baldwin County School District", "Round Valley Unified District",
> > "Round Valley Unified District", "Round Valley Unified District",
> > "Round Valley Unified District", "Round Valley Unified District",
> > "Round Valley Unified District", "Round Valley Unified District",
> > "Round Valley Unified District", "Round Valley Unified District",
> > "Round Valley Unified District", "Round Valley Unified District",
> > "Round Valley Unified District", "Round Valley Unified District",
> > "Round Valley Unified District", "St. Johns Unified District",
> > "St. Johns Unified District", "St. Johns Unified District", "St. Johns
> > Unified District",
> > "St. Johns Unified District", "Round Valley Unified District",
> > "Round Valley Unified District", "Round Valley Unified District",
> > "Round Valley Unified District", "Round Valley Unified District",
> > "Round Valley Unified District", "Round Valley Unified District",
> > "Round Valley Unified District", "Round Valley Unified District",
> > "Round Valley Unified District", "Round Valley Unified District",
> > "Round Valley Unified District", "Round Valley Unified District",
> > "Benson Unified School District", "St. David Unified District",
> > "Benson Unified School District", "St. David Unified District",
> > "Benson Unified School District", "St. David Unified District",
> > "Benson Unified School District", "St. David Unified District",
> > "Benson Unified School District", "St. David Unified District",
> > "Benson Unified School District", "St. David Unified District",
> > "Bisbee Unified District", "Bisbee Unified District", "Bisbee Unified
> > District",
> > "Bisbee Unified District", "Bisbee Unified District", "Bisbee Unified
> > District",
> > "Bisbee Unified District", "Bisbee Unified District", "Bisbee Unified
> > District",
> > "Douglas Unified District", "Douglas Unified District", "Douglas Unified
> > District",
> > "Douglas Unified District", "Douglas Unified District", "Douglas Unified
> > District",
> > "Douglas Unified District", "Douglas Unified District", "Tombstone Unified
> > District",
> > "Tombstone Unified District", "Tombstone Unified District", "Tombstone
> > Unified District",
> > "Tombstone Unified District", "Tombstone Unified District", "Tombstone
> > Unified District",
> > "Tombstone Unified District", "Tombstone Unified District", "Fort Huachuca
> > Accommodation District",
> > "Sierra Vista Unified District", "Fort Huachuca Accommodation District",
> > "Sierra Vista Unified District", "Fort Huachuca Accommodation District",
> > "Sierra Vista Unified District", "Fort Huachuca Accommodation District",
> > "Sierra Vista Unified District", "Fort Huachuca Accommodation District",
> > "Sierra Vista Unified District", "Fort Huachuca Accommodation District",
> > "Sierra Vista Unified District", "Sierra Vista Unified District",
> > "Fort Huachuca Accommodation District", "Sierra Vista Unified District",
> > "Fort Huachuca Accommodation District", "Sierra Vista Unified District",
> > "Fort Huachuca Accommodation District", "Sierra Vista Unified District",
> > "Sierra Vista Unified District", "Sierra Vista Unified District",
> > "Sierra Vista Unified District", "Tombstone Unified District",
> > "Tombstone Unified District", "Tombstone Unified District", "Tombstone
> > Unified District",
> > "Willcox Unified District", "Willcox Unified District", "Willcox Unified
> > District",
> > "Willcox Unified District", "Willcox Unified District", "Willcox Unified
> > District",
> > "Willcox Unified District", "Willcox Unified District", "Willcox Unified
> > District",
> > "Willcox Unified District", "Willcox Unified District", "Willcox Unified
> > District",
> > "Willcox Unified District", "Flagstaff Unified District", "Flagstaff
> > Unified District",
> > "Flagstaff Unified District", "Flagstaff Unified District", "Flagstaff
> > Unified District",
> > "Flagstaff Unified District", "Flagstaff Unified District", "Flagstaff
> > Unified District",
> > "Flagstaff Unified District", "Flagstaff Unified District", "Flagstaff
> > Unified District",
> > "Flagstaff Unified District", "Flagstaff Unified District", "Flagstaff
> > Unified District",
> > "Flagstaff Unified District", "Fredonia-Moccasin Unified District",
> > "Fredonia-Moccasin Unified District", "Fredonia-Moccasin Unified District",
> > "Fredonia-Moccasin Unified District", "Fredonia-Moccasin Unified District",
> > "Fredonia-Moccasin Unified District", "Fredonia-Moccasin Unified District",
> > "Fredonia-Moccasin Unified District", "Fredonia-Moccasin Unified District",
> > "Fredonia-Moccasin Unified District", "Fredonia-Moccasin Unified District",
> > "Fredonia-Moccasin Unified District", "Fredonia-Moccasin Unified District",
> > "Fredonia-Moccasin Unified District", "Page Unified District",
> > "Fredonia-Moccasin Unified District", "Page Unified District",
> > "Fredonia-Moccasin Unified District", "Page Unified District",
> > "Fredonia-Moccasin Unified District", "Page Unified District",
> > "Fredonia-Moccasin Unified District", "Page Unified District",
> > "Fredonia-Moccasin Unified District", "Page Unified District",
> > "Fredonia-Moccasin Unified District", "Page Unified District",
> > "Fredonia-Moccasin Unified District", "Page Unified District",
> > "Fredonia-Moccasin Unified District", "Page Unified District",
> > "Fredonia-Moccasin Unified District", "Page Unified District",
> > "Flagstaff Unified District", "Flagstaff Unified District", "Flagstaff
> > Unified District",
> > "Flagstaff Unified District", "Flagstaff Unified District", "Flagstaff
> > Unified District",
> > "Flagstaff Unified District", "Flagstaff Unified District", "Flagstaff
> > Unified District",
> > "Flagstaff Unified District", "Flagstaff Unified District", "Williams
> > Unified District",
> > "Williams Unified District", "Williams Unified District", "Williams
> > Unified District",
> > "Williams Unified District", "Williams Unified District", "Williams
> > Unified District",
> > "Williams Unified District", "Williams Unified District", "Williams
> > Unified District",
> > "Williams Unified District", "Globe Unified District", "Miami Unified
> > District",
> > "Globe Unified District", "Miami Unified District", "Globe Unified
> > District",
> > "Miami Unified District", "Globe Unified District", "Miami Unified
> > District",
> > "Globe Unified District", "Miami Unified District", "Globe Unified
> > District",
> > "Miami Unified District", "Globe Unified District", "Miami Unified
> > District",
> > "Globe Unified District", "Miami Unified District", "Globe Unified
> > District",
> > "Miami Unified District", "Globe Unified District", "Miami Unified
> > District",
> > "Globe Unified District", "Miami Unified District", "Hayden-Winkelman
> > Unified District",
> > "Miami Unified District", "Miami Unified District", "Miami Unified
> > District",
> > "Miami Unified District", "Miami Unified District", "Miami Unified
> > District",
> > "Miami Unified District", "Miami Unified District", "Miami Unified
> > District",
> > "Miami Unified District", "Miami Unified District", "Miami Unified
> > District",
> > "Miami Unified District", "Payson Unified District", "Payson Unified
> > District",
> > "Payson Unified District", "Payson Unified District", "Payson Unified
> > District",
> > "Payson Unified District", "Payson Unified District", "Payson Unified
> > District",
> > "Payson Unified District", "Payson Unified District", "Payson Unified
> > District",
> > "Payson Unified District", "Pima Unified District", "Pima Unified
> > District",
> > "Pima Unified District", "Pima Unified District", "Pima Unified District",
> > "Pima Unified District", "Pima Unified District", "Pima Unified District",
> > "Pima Unified District", "Pima Unified District", "Pima Unified District",
> > "Pima Unified District", "Safford Unified District", "Thatcher Unified
> > District",
> > "Safford Unified District", "Thatcher Unified District", "Safford Unified
> > District",
> > "Thatcher Unified District", "Safford Unified District", "Thatcher Unified
> > District",
> > "Safford Unified District", "Thatcher Unified District", "Safford Unified
> > District",
> > "Thatcher Unified District", "Safford Unified District", "Thatcher Unified
> > District",
> > "Safford Unified District", "Thatcher Unified District", "Safford Unified
> > District",
> > "Thatcher Unified District", "Safford Unified District", "Thatcher Unified
> > District",
> > "Safford Unified District", "Thatcher Unified District", "Safford Unified
> > District",
> > "Thatcher Unified District", "Safford Unified District", "Thatcher Unified
> > District",
> > "Safford Unified District", "Thatcher Unified District", "Safford Unified
> > District",
> > "Thatcher Unified District", "Safford Unified District", "Thatcher Unified
> > District",
> > "Safford Unified District", "Thatcher Unified District", "Safford Unified
> > District",
> > "Thatcher Unified District", "Clifton Unified District", "Morenci Unified
> > District",
> > "Clifton Unified District", "Morenci Unified District", "Clifton Unified
> > District",
> > "Morenci Unified District", "Clifton Unified District", "Morenci Unified
> > District",
> > "Clifton Unified District", "Morenci Unified District", "Clifton Unified
> > District",
> > "Morenci Unified District", "Morenci Unified District", "Clifton Unified
> > District",
> > "Morenci Unified District", "Clifton Unified District", "Morenci Unified
> > District",
> > "Parker Unified School District", "Parker Unified School District",
> > "Parker Unified School District", "Parker Unified School District",
> > "Parker Unified School District", "Parker Unified School District",
> > "Parker Unified School District", "Little Rock School District",
> > "Little Rock School District", "Little Rock School District",
> > "Little Rock School District", "Little Rock School District",
> > "Little Rock School District", "Little Rock School District",
> > "Little Rock School District", "Little Rock School District",
> > "Little Rock School District", "Little Rock School District",
> > "Little Rock School District", "Pulaski County Special School District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Little Rock School District",
> > "Pulaski County Special School District", "Little Rock School District",
> > "Pulaski County Special School District", "Little Rock School District",
> > "Pulaski County Special School District", "Little Rock School District",
> > "Pulaski County Special School District", "Little Rock School District",
> > "Pulaski County Special School District", "Little Rock School District",
> > "Pulaski County Special School District", "Little Rock School District",
> > "Pulaski County Special School District", "Little Rock School District",
> > "Pulaski County Special School District", "Little Rock School District",
> > "Pulaski County Special School District", "Little Rock School District",
> > "Pulaski County Special School District", "Little Rock School District",
> > "Pulaski County Special School District", "Little Rock School District",
> > "Pulaski County Special School District", "Little Rock School District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "North Little Rock School District", "Pulaski County Special School
> > District",
> > "North Little Rock School District", "Pulaski County Special School
> > District",
> > "North Little Rock School District", "Pulaski County Special School
> > District",
> > "North Little Rock School District", "Pulaski County Special School
> > District",
> > "North Little Rock School District", "Pulaski County Special School
> > District",
> > "North Little Rock School District", "Pulaski County Special School
> > District",
> > "North Little Rock School District", "Pulaski County Special School
> > District",
> > "North Little Rock School District", "Pulaski County Special School
> > District",
> > "North Little Rock School District", "Pulaski County Special School
> > District",
> > "North Little Rock School District", "Pulaski County Special School
> > District",
> > "North Little Rock School District", "Pulaski County Special School
> > District",
> > "North Little Rock School District", "Pulaski County Special School
> > District",
> > "North Little Rock School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "North Little Rock School District", "Pulaski County Special School
> > District",
> > "North Little Rock School District", "Pulaski County Special School
> > District",
> > "North Little Rock School District", "Pulaski County Special School
> > District",
> > "North Little Rock School District", "Pulaski County Special School
> > District",
> > "North Little Rock School District", "Pulaski County Special School
> > District",
> > "North Little Rock School District", "Pulaski County Special School
> > District",
> > "North Little Rock School District", "Pulaski County Special School
> > District",
> > "North Little Rock School District", "Pulaski County Special School
> > District",
> > "North Little Rock School District", "Pulaski County Special School
> > District",
> > "North Little Rock School District", "Pulaski County Special School
> > District",
> > "North Little Rock School District", "Pulaski County Special School
> > District",
> > "North Little Rock School District", "Pulaski County Special School
> > District",
> > "North Little Rock School District", "Pulaski County Special School
> > District",
> > "Corning Public Schools", "Corning Public Schools", "Corning Public
> > Schools",
> > "Corning Public Schools", "Corning Public Schools", "Corning Public
> > Schools",
> > "Corning Public Schools", "Corning Public Schools", "Corning Public
> > Schools",
> > "Corning Public Schools", "Mammoth Spring Schools", "Mammoth Spring
> > Schools",
> > "Mammoth Spring Schools", "Greene County Technical School District",
> > "Greene County Technical School District", "Greene County Technical School
> > District",
> > "Greene County Technical School District", "Greene County Technical School
> > District",
> > "Greene County Technical School District", "Greene County Technical School
> > District",
> > "Greene County Technical School District", "Greene County Technical School
> > District",
> > "Greene County Technical School District", "Greene County Technical School
> > District",
> > "Greene County Technical School District", "Greene County Technical School
> > District",
> > "Pocahontas School District", "Pocahontas School District", "Pocahontas
> > School District",
> > "Pocahontas School District", "Pocahontas School District", "Pocahontas
> > School District",
> > "Pocahontas School District", "Pocahontas School District", "Pocahontas
> > School District",
> > "Pocahontas School District", "Sloan-Hendrix School District",
> > "Sloan-Hendrix School District", "Sloan-Hendrix School District",
> > "Sloan-Hendrix School District", "Forrest City School District",
> > "Forrest City School District", "Forrest City School District",
> > "Forrest City School District", "Forrest City School District",
> > "Forrest City School District", "Forrest City School District",
> > "Forrest City School District", "Forrest City School District",
> > "Forrest City School District", "West Memphis School District",
> > "West Memphis School District", "West Memphis School District",
> > "West Memphis School District", "West Memphis School District",
> > "West Memphis School District", "Bryant Public Schools", "Bryant Public
> > Schools",
> > "Bauxite School District", "Benton School District", "Bryant Public
> > Schools",
> > "Harmony Grove School District", "Bauxite School District", "Benton School
> > District",
> > "Bryant Public Schools", "Harmony Grove School District", "Bauxite School
> > District",
> > "Benton School District", "Bryant Public Schools", "Harmony Grove School
> > District",
> > "Bauxite School District", "Benton School District", "Bryant Public
> > Schools",
> > "Harmony Grove School District", "Bauxite School District", "Benton School
> > District",
> > "Bryant Public Schools", "Harmony Grove School District", "Bauxite School
> > District",
> > "Benton School District", "Bryant Public Schools", "Harmony Grove School
> > District",
> > "Bauxite School District", "Benton School District", "Bryant Public
> > Schools",
> > "Harmony Grove School District", "Bauxite School District", "Benton School
> > District",
> > "Bryant Public Schools", "Harmony Grove School District", "Bauxite School
> > District",
> > "Benton School District", "Bryant Public Schools", "Harmony Grove School
> > District",
> > "Bauxite School District", "Benton School District", "Bryant Public
> > Schools",
> > "Harmony Grove School District", "Bauxite School District", "Benton School
> > District",
> > "Bryant Public Schools", "Harmony Grove School District", "Bauxite School
> > District",
> > "Benton School District", "Bryant Public Schools", "Harmony Grove School
> > District",
> > "Bauxite School District", "Benton School District", "Bryant Public
> > Schools",
> > "Harmony Grove School District", "Bryant Public Schools", "Bryant Public
> > Schools",
> > "Bryant Public Schools", "Bryant Public Schools", "Bryant Public Schools",
> > "Bryant Public Schools", "Bryant Public Schools", "Bryant Public Schools",
> > "Bryant Public Schools", "Bryant Public Schools", "Bryant Public Schools",
> > "Fountain Lake School District", "Fountain Lake School District",
> > "Fountain Lake School District", "Fountain Lake School District",
> > "Fountain Lake School District", "Fountain Lake School District",
> > "Fountain Lake School District", "Fountain Lake School District",
> > "Fountain Lake School District", "Fountain Lake School District",
> > "Fountain Lake School District", "Pulaski County Special School District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Bryant Public Schools", "Pulaski County Special School District",
> > "Bryant Public Schools", "Pulaski County Special School District",
> > "Bryant Public Schools", "Pulaski County Special School District",
> > "Bryant Public Schools", "Pulaski County Special School District",
> > "Sheridan School District", "Sheridan School District", "Sheridan School
> > District",
> > "Sheridan School District", "Sheridan School District", "Sheridan School
> > District",
> > "Sheridan School District", "Sheridan School District", "Sheridan School
> > District",
> > "Sheridan School District", "Sheridan School District", "Sheridan School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District", "Pulaski County Special School
> > District",
> > "Pulaski County Special School District"), EXPENDITURE_PER_STUDENT =
> > c(5.2927293064877,
> > 5.83217391304348, 6.24197091745999, 7.00549108992955, 7.58262281770199,
> > 7.42023581578152, 5.2927293064877, 6.24197091745999, 7.58262281770199,
> > 7.42023581578152, 7.3847757046447, 7.53533925686591, 7.0917048346056,
> > 7.18122877431306, 7.4336542486396, 7.54056291390728, 8.11883528526915,
> > 5.2927293064877, 5.4061504667765, 5.83217391304348, 6.24197091745999,
> > 7.00549108992955, 7.58262281770199, 7.3847757046447, 7.53533925686591,
> > 7.0917048346056, 7.18122877431306, 7.4336542486396, 7.54056291390728,
> > 7.62202102195858, 8.11883528526915, 6.72722224595276, 7.55975125802888,
> > 9.08160237388724, 10.0624245624623, 8.34440937621902, 8.12038327526132,
> > 8.10149903123832, 8.8251378752353, 8.82232971630278, 9.07112703083024,
> > 6.72722224595276, 6.76353122269834, 7.55975125802888, 8.21461591802142,
> > 9.08160237388724, 9.40051622418879, 8.27094691535151, 8.34440937621902,
> > 8.12038327526132, 8.10149903123832, 8.8251378752353, 8.82232971630278,
> > 8.94384274675891, 9.07112703083024, 6.72722224595276, 7.55975125802888,
> > 9.08160237388724, 10.0624245624623, 9.40051622418879, 8.27094691535151,
> > 8.34440937621902, 8.12038327526132, 8.8251378752353, 6.72722224595276,
> > 6.76353122269834, 7.55975125802888, 9.08160237388724, 10.0624245624623,
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> >
> >         [[alternative HTML version deleted]]
> >
> > ______________________________________________
> > R-help using r-project.org mailing list -- To UNSUBSCRIBE and more, see
> > 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.
> >
>
>         [[alternative HTML version deleted]]
>
> ______________________________________________
> R-help using r-project.org mailing list -- To UNSUBSCRIBE and more, see
> 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.