\newcommand{\lowwtpobs}{32}
\newcommand{\nexogobs}{12}
\newcommand{\excludeobs}{44}
\newcommand{\lowwtpobswthree}{13}
\newcommand{\nexogobswthree}{2}
\newcommand{\woneobs}{350}
\newcommand{\wtwoobs}{528}
\newcommand{\wthreeobs}{414}
\newcommand{\pctpreferzero}{1.2}
\newcommand{\commiteightrate}{64}
\newcommand{\commiteightobs}{849}
\newcommand{\committwelverate}{49}
\newcommand{\committwelveobs}{1{,}248}
\newcommand{\commitsixteenrate}{32}
\newcommand{\commitsixteenobs}{849}
\newcommand{\gotcontractobs}{122}
\newcommand{\goalexpmean}{3.34}
\newcommand{\goalexpsd}{3.64}
\newcommand{\actexpmean}{-4.17}
\newcommand{\actexpsd}{6.61}
\newcommand{\enhinfobcpcoeff}{1.36}
\newcommand{\bcpinfoctrlmean}{0.66}
\newcommand{\bcpregmean}{1.17}
\newcommand{\goalexpbcpcoeff}{0.71}
\newcommand{\actualexpbcpcoeff}{0.45}
\newcommand{\enhinfoMCcoeff}{8.0}
\newcommand{\MCregmean}{0.49}
\newcommand{\MCregmeanPCT}{49}
\newcommand{\bcpMCcoeff}{3}
\newcommand{\goalexpMCcoeff}{3.8}
\newcommand{\wantgottwelvediff}{3.51}
\newcommand{\rejectgottwelvediff}{4.04}
\newcommand{\pctundertwelve}{35}
\newcommand{\pctmaxed}{7.4}
\newcommand{\pctovermax}{28}
\newcommand{\pctatmax}{22}
\newcommand{\pctbelowmax}{50}
\newcommand{\pctdeltaneg}{33}
\newcommand{\pctfemale}{61}
\newcommand{\pctfemalealt}{61.3}
\newcommand{\pctmalealt}{38.7}
\newcommand{\fracfemale}{0.613}
\newcommand{\fracmale}{0.387}
\newcommand{\meanage}{34}
\newcommand{\pctstudent}{57}
\newcommand{\pctworking}{57}
\newcommand{\pctmarried}{27}
\newcommand{\meanpastvisits}{22}
\newcommand{\meanpastvisitsrecall}{31}
\newcommand{\pctfailedac}{3.5}
\newcommand{\pctchosedom}{1.8}
\newcommand{\pctfailedcc}{4.3}
\newcommand{\passednumeracy}{95.2}
\newcommand{\anticommitrate}{31}
\newcommand{\anticommitrateexcl}{30}
\newcommand{\anticommitpctmin}{27}
\newcommand{\anticommitpctmax}{34}
\newcommand{\wtwothreeobs}{908}
\newcommand{\avgexpnoinc}{11.5}
\newcommand{\avgexpseveninc}{17.7}
\newcommand{\avgexpdiffseven}{6.2}
\newcommand{\avgactnoinc}{7.2}
\newcommand{\avgactseveninc}{13.3}
\newcommand{\avgactdiffseven}{6.1}
\newcommand{\attcoeff}{0.685}
\newcommand{\attcoeffse}{0.028}
\newcommand{\avgbcpcorr}{0.17}
\newcommand{\avgbcpcorrse}{0.06}
\newcommand{\avgMCcorr}{0.49}
\newcommand{\avgMCcorrse}{0.02}
\newcommand{\avgexpincone}{12.92}
\newcommand{\avgwtpincone}{18.30}
\newcommand{\avgdiffincone}{5.38}
\newcommand{\avgbcp}{2.01}
\newcommand{\avgbcpexone}{1.20}
\newcommand{\incentivezeroobs}{413}
\newcommand{\incentivetwoobs}{293}
\newcommand{\incentivefiveobs}{75}
\newcommand{\incentivesevenobs}{342}
\newcommand{\incentivezeroobsbasic}{105}
\newcommand{\incentivetwoobsbasic}{112}
\newcommand{\incentivesevenobsbasic}{121}
\newcommand{\obsbasictreat}{174}
\newcommand{\obsbasiccontrol}{166}
\newcommand{\incentivezeroobsenhanced}{308}
\newcommand{\incentivetwoobsenhanced}{181}
\newcommand{\incentivefiveobsenhanced}{74}
\newcommand{\incentivesevenobsenhanced}{221}
\newcommand{\obsenhancedtreat}{452}
\newcommand{\obsenhancedcontrol}{456}
\newcommand{\incrattinc}{0.67}
\newcommand{\incrattincse}{0.014}
\newcommand{\avgbcpinc}{3.00}
\newcommand{\avgbcpexoneinc}{1.78}
\newcommand{\wtpbcmean}{1.20}
\newcommand{\wtpbcsd}{7.08}
\newcommand{\enhancedtreatobs}{452}
\newcommand{\controlobs}{622}
\newcommand{\incentivezeroinfobs}{366}
\newcommand{\incentivetwoinfobs}{234}
\newcommand{\incentivefiveinfobs}{75}
\newcommand{\incentiveseveninfobs}{274}
\newcommand{\minfoavgobspe}{952}
\newcommand{\infodropobs}{174}
\newcommand{\minfoavgnoconfusedobspe}{865}
\newcommand{\empirDaC}{3.51}
\newcommand{\empirDaCCI}{(1.38, 5.65)}
\newcommand{\empirctrlPmeet}{0.22}
\newcommand{\empirctrlPmeetCI}{(0.10, 0.35)}
\newcommand{\empirtreatPmeet}{0.65}
\newcommand{\empirtreatPmeetCI}{(0.52, 0.78)}
\newcommand{\empirDmeet}{0.42}
\newcommand{\empirDmeetCI}{(0.26, 0.58)}