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[] []\OT1/cmtt/m/n/10 c[][]([][]sum[][]([][]is.na[][](covs[[i]])),[][]mean[][](
[][]is.na[][](covs[[i]])),error[i,[][]error[][]]))[][]
[]
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[][]\OT1/cmtt/m/n/10 rownames[][](miss)[] []<-[] []c[][]([][]Race/Ethnicity[]
[],[][]Sex[][],[][]Special Education[][],[][]Pretest[][])[][]
[]
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[][]\OT1/cmtt/m/n/10 miss[[][]Pretest[][],[][]Imputation Error[][]][] []<-[
] []sqrt[][](miss[[][]Pretest[][],[][]Imputation Error[][]])[][]/[][]sd[][]
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[]
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[] []\OT1/cmtt/m/n/10 covBal[] []<-[] []rbind[][](covBal,[][]c[][]([][]N
A[][],ll,[][]round[][]([][]c[][]([][]mean[][](dat[[i]][][]==[][]ll),[][]mean[][
](dat[[i]][dat[][]$[][]treatment[][]==[][]1[][]][][]==[][]ll),[][]mean[][](dat[
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[]
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[][]\OT1/cmtt/m/n/10 colnames[][](covBal)[] []<-[] []c[][]([][]Covariate[][],
[][]Category[][],[][]Overall Percent[][],[][]Percent of Treated[][],[][]
Percent of Control[][])[][]
[]
[1
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[][]\OT1/cmtt/m/n/10 balMod[] []<-[] []balanceTest[][](treatment[][]~[][]poly[]
[](xirt,[][]2[][])[][]+[][]spec[][]+[][]race[][]+[][]sex[][]+[][]strata[][](pai
r)[][]+[][]cluster[][](schoolid2),[][]data[][]=datOrig,[][]report[][]=[][]chis
quare.test[][])[][]
[]
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[2]
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[][]\OT1/cmtt/m/n/10 plotDatObs[] []<-[] []with[][](sdatObs,[][]data.frame[][](
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[]
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[][]\OT1/cmtt/m/n/10 plotDatObs[][]$[][]slope[] []<-[] []ifelse[][](plotDatObs[
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aw][][]+[][]samps[][]$[][]b1[draw])[][]
[]
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[][]\OT1/cmtt/m/n/10 plotDatObs[][]$[][]int[] []<-[] []ifelse[][](plotDatObs[][
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][][]+[][]samps[][]$[][]b0[draw])[][]
[]
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[][]\OT1/cmtt/m/n/10 plotDatObs[] []<-[] []within[][](plotDatObs, int[] []<-[]
[]int[][]-[][]([] []mean[][](int[][]+[][]slope[][]*[][]mbar)[][]-[][]mean[][](p
lotDatObs[][]$[][]Y)))[][]
[]
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[]
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[]
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[]
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[] \OT1/cmtt/m/n/10 muY[i]=teacherEffY[teacher[i]]+schoolEffY[school[i]]+pairE
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[]
[6]
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[][]\OT1/cmtt/m/n/10 main[] []<-[] []stan[][]([][]src/psmod.stan[][],[][]data
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][]5000[][])[][]
[]
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[] []\OT1/cmtt/m/n/10 w[] []<-[] []which[][](datObs[][]$[][]mbar[][]==[][]ms
[mult[i,[][]mbar[][]]][] []&[] []datObs[][]$[][]nsec[][]==[][]ns[mult[i,[][]
nsec[][]]])[][]
[]
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oint[][]()[][]+[][]xlab[][]([][]$\OMS/cmtt/m/n/10 nn\OT1/cmtt/m/n/10 bar\OMS/c
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[][]\OT1/cmtt/m/n/10 etaDraws[] []<-[] []extract[][](main,[][]studEff[][])[[[
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[]
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[] []\OT1/cmtt/m/n/10 axis.ticks.y[][]=[][]element_blank[][]())[][]\OT1/
cmtt/m/it/10 #+ggtitle(One Posterior Draw)#+xlab($\OMS/cmtt/m/it/10 nn\OT1/c
mtt/m/it/10 mathbb\OMS/cmtt/m/it/10 f\OT1/cmtt/m/it/10 E\OMS/cmtt/m/it/10 gnn\O
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[][]\OT1/cmtt/m/n/10 ggplot[][](mbarDiffDat,[][]aes[][](mbar,mDiff))[][]+[][]ge
om_point[][]()[][]+[][]xlab[][]([][]$\OMS/cmtt/m/it/10 nn\OT1/cmtt/m/n/10 bar\
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