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

Wed Sep 4 09:54:11 CEST 2019

Dear James,

Your mail contains only a part of the dput() output. Given the size of your
data, I suggest that you place it somewhere online and send us a link to
the data.

Best regards,

ir. Thierry Onkelinx
Statisticus / Statistician

Vlaamse Overheid / Government of Flanders
INSTITUUT VOOR NATUUR- EN BOSONDERZOEK / RESEARCH INSTITUTE FOR NATURE AND
FOREST
Team Biometrie & Kwaliteitszorg / Team Biometrics & Quality Assurance
thierry.onkelinx using inbo.be
Havenlaan 88 bus 73, 1000 Brussel
www.inbo.be

///////////////////////////////////////////////////////////////////////////////////////////
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than asking him to perform a post-mortem examination: he may be able to say
what the experiment died of. ~ Sir Ronald Aylmer Fisher
The plural of anecdote is not data. ~ Roger Brinner
The combination of some data and an aching desire for an answer does not
ensure that a reasonable answer can be extracted from a given body of data.
~ John Tukey
///////////////////////////////////////////////////////////////////////////////////////////

<https://www.inbo.be>

Op di 3 sep. 2019 om 21:34 schreef Ades, James <jades using ucsd.edu>:

> 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,
> 9.40051622418879, 8.34440937621902, 8.12038327526132, 8.10149903123832,
> 8.8251378752353, 8.82232971630278, 8.94384274675891, 9.07112703083024,
> 6.72722224595276, 9.08160237388724, 9.40051622418879, 8.27094691535151,
> 8.34440937621902, 8.12038327526132, 8.10149903123832, 8.8251378752353,
> 8.82232971630278, 9.07112703083024, 6.72722224595276, 7.55975125802888,
> 8.21461591802142, 9.08160237388724, 10.0624245624623, 9.40051622418879,
> 8.27094691535151, 8.34440937621902, 8.12038327526132, 8.10149903123832,
> 8.8251378752353, 8.82232971630278, 8.94384274675891, 9.07112703083024,
> 6.72722224595276, 7.55975125802888, 8.21461591802142, 9.08160237388724,
> 8.27094691535151, 8.34440937621902, 8.12038327526132, 8.10149903123832,
> 9.07112703083024, 6.72722224595276, 7.55975125802888, 8.21461591802142,
> 9.08160237388724, 10.0624245624623, 9.40051622418879, 8.34440937621902,
> 8.12038327526132, 8.94384274675891, 9.07112703083024, 6.72722224595276,
> 9.08160237388724, 10.0624245624623, 9.40051622418879, 8.27094691535151,
> 8.34440937621902, 8.12038327526132, 8.10149903123832, 8.8251378752353,
> 8.82232971630278, 8.94384274675891, 9.07112703083024, 6.72722224595276,
> 7.55975125802888, 8.21461591802142, 9.08160237388724, 10.0624245624623,
> 9.40051622418879, 8.27094691535151, 8.34440937621902, 8.12038327526132,
> 8.10149903123832, 8.82232971630278, 8.94384274675891, 6.72722224595276,
> 9.08160237388724, 10.0624245624623, 9.40051622418879, 8.27094691535151,
> 8.12038327526132, 8.82232971630278, 8.94384274675891, 9.07112703083024,
> 6.72722224595276, 7.55975125802888, 8.21461591802142, 9.08160237388724,
> 9.40051622418879, 8.27094691535151, 8.34440937621902, 8.12038327526132,
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>
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