(And post in plain text) On Tue, Sep 3, 2019 at 10:34 AM Bert Gunter <bgunter.4...@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 <ja...@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", 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"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", > > 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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", 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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, > > 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> [[alternative HTML version deleted]] > > ______________________________________________ > R-help@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.
______________________________________________ R-help@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.
