\newcommand{\allobspe}{1,126} 
\newcommand{\lambdaall}{0.068} 
\newcommand{\lambdaallCI}{(0.06, 0.07)} 
\newcommand{\betatildeall}{0.84} 
\newcommand{\betatildeallCI}{(0.80, 0.88)} 
\newcommand{\ball}{9.66} 
\newcommand{\ballCI}{(9.05, 10.28)} 
\newcommand{\betaall}{0.55} 
\newcommand{\betaallCI}{(0.51, 0.58)} 
\newcommand{\aintall}{4.39} 
\newcommand{\aintallCI}{(4.02, 4.77)} 
\newcommand{\naiveall}{0.36} 
\newcommand{\naiveallCI}{(0.29, 0.43)} 
\newcommand{\expcostall}{14.81} 
\newcommand{\expcostallCI}{(13.61, 16.00)} 
\newcommand{\poneDoneerror}{0.10} 
\newcommand{\ptwoDoneerror}{0.06} 
\newcommand{\pthreeDtwoerror}{0.26} 
\newcommand{\pfiveDtwoerror}{0.16} 
\newcommand{\psevenDfiveerror}{1.29} 
\newcommand{\wtwothreeobspe}{786} 
\newcommand{\lambdawtwothree}{0.068} 
\newcommand{\lambdawtwothreeCI}{(0.06, 0.08)} 
\newcommand{\betatildewtwothree}{0.81} 
\newcommand{\betatildewtwothreeCI}{(0.76, 0.86)} 
\newcommand{\bwtwothree}{10.07} 
\newcommand{\bwtwothreeCI}{(9.29, 10.84)} 
\newcommand{\betawtwothree}{0.53} 
\newcommand{\betawtwothreeCI}{(0.49, 0.57)} 
\newcommand{\aintwtwothree}{4.75} 
\newcommand{\aintwtwothreeCI}{(4.27, 5.23)} 
\newcommand{\naivewtwothree}{0.40} 
\newcommand{\naivewtwothreeCI}{(0.31, 0.49)} 
\newcommand{\expcostwtwothree}{14.70} 
\newcommand{\expcostwtwothreeCI}{(13.18, 16.22)} 
\newcommand{\wonetwoobspe}{849} 
\newcommand{\lambdawonetwo}{0.067} 
\newcommand{\lambdawonetwoCI}{(0.06, 0.07)} 
\newcommand{\betatildewonetwo}{0.84} 
\newcommand{\betatildewonetwoCI}{(0.79, 0.89)} 
\newcommand{\bwonetwo}{9.64} 
\newcommand{\bwonetwoCI}{(8.92, 10.36)} 
\newcommand{\betawonetwo}{0.56} 
\newcommand{\betawonetwoCI}{(0.52, 0.60)} 
\newcommand{\aintwonetwo}{4.23} 
\newcommand{\aintwonetwoCI}{(3.78, 4.67)} 
\newcommand{\naivewonetwo}{0.36} 
\newcommand{\naivewonetwoCI}{(0.27, 0.45)} 
\newcommand{\expcostwonetwo}{14.94} 
\newcommand{\expcostwonetwoCI}{(13.53, 16.35)} 
\newcommand{\controlobspe}{560} 
\newcommand{\lambdacontrol}{0.067} 
\newcommand{\lambdacontrolCI}{(0.06, 0.07)} 
\newcommand{\betatildecontrol}{0.86} 
\newcommand{\betatildecontrolCI}{(0.82, 0.90)} 
\newcommand{\bcontrol}{10.03} 
\newcommand{\bcontrolCI}{(9.13, 10.93)} 
\newcommand{\betacontrol}{0.54} 
\newcommand{\betacontrolCI}{(0.50, 0.58)} 
\newcommand{\aintcontrol}{4.63} 
\newcommand{\aintcontrolCI}{(4.15, 5.11)} 
\newcommand{\naivecontrol}{0.30} 
\newcommand{\naivecontrolCI}{(0.22, 0.37)} 
\newcommand{\expcostcontrol}{15.02} 
\newcommand{\expcostcontrolCI}{(13.48, 16.55)} 
\newcommand{\treatobspe}{392} 
\newcommand{\lambdatreat}{0.068} 
\newcommand{\lambdatreatCI}{(0.06, 0.08)} 
\newcommand{\betatildetreat}{0.78} 
\newcommand{\betatildetreatCI}{(0.69, 0.87)} 
\newcommand{\btreat}{9.83} 
\newcommand{\btreatCI}{(8.77, 10.89)} 
\newcommand{\betatreat}{0.54} 
\newcommand{\betatreatCI}{(0.47, 0.62)} 
\newcommand{\ainttreat}{4.49} 
\newcommand{\ainttreatCI}{(3.73, 5.26)} 
\newcommand{\naivetreat}{0.49} 
\newcommand{\naivetreatCI}{(0.35, 0.63)} 
\newcommand{\expcosttreat}{14.76} 
\newcommand{\expcosttreatCI}{(12.33, 17.19)} 
\newcommand{\bmobspe}{550} 
\newcommand{\lambdabm}{0.073} 
\newcommand{\lambdabmCI}{(0.06, 0.08)} 
\newcommand{\betatildebm}{0.78} 
\newcommand{\betatildebmCI}{(0.70, 0.86)} 
\newcommand{\bbm}{7.07} 
\newcommand{\bbmCI}{(6.45, 7.68)} 
\newcommand{\betabm}{0.38} 
\newcommand{\betabmCI}{(0.33, 0.43)} 
\newcommand{\aintbm}{4.39} 
\newcommand{\aintbmCI}{(3.92, 4.86)} 
\newcommand{\naivebm}{0.36} 
\newcommand{\naivebmCI}{(0.25, 0.46)} 
\newcommand{\expcostbm}{13.75} 
\newcommand{\expcostbmCI}{(11.91, 15.58)} 
\newcommand{\amobspe}{576} 
\newcommand{\lambdaam}{0.064} 
\newcommand{\lambdaamCI}{(0.06, 0.07)} 
\newcommand{\betatildeam}{0.88} 
\newcommand{\betatildeamCI}{(0.84, 0.92)} 
\newcommand{\bam}{12.57} 
\newcommand{\bamCI}{(11.45, 13.69)} 
\newcommand{\betaam}{0.68} 
\newcommand{\betaamCI}{(0.63, 0.72)} 
\newcommand{\aintam}{4.08} 
\newcommand{\aintamCI}{(3.54, 4.63)} 
\newcommand{\naiveam}{0.36} 
\newcommand{\naiveamCI}{(0.26, 0.45)} 
\newcommand{\expcostam}{15.66} 
\newcommand{\expcostamCI}{(14.09, 17.24)} 
\newcommand{\bminfoavghet}{10.24} 
\newcommand{\bminfoavghetCI}{(9.50, 10.98)} 
\newcommand{\lambdaminfoavghet}{0.07} 
\newcommand{\lambdaminfoavghetCI}{(0.06, 0.07)} 
\newcommand{\betaminfoavghet}{0.55} 
\newcommand{\betaminfoavghetCI}{(0.52, 0.58)} 
\newcommand{\betatildeminfoavghet}{0.85} 
\newcommand{\betatildeminfoavghetCI}{(0.81, 0.89)} 
\newcommand{\aintminfoavghet}{4.21} 
\newcommand{\aintminfoavghetCI}{(3.83, 4.59)} 
\newcommand{\naiveminfoavghet}{0.35} 
\newcommand{\naiveminfoavghetCI}{(0.27, 0.42)} 
\newcommand{\expcostminfoavghet}{15.55} 
\newcommand{\expcostminfoavghetCI}{(14.24, 16.85)} 
\newcommand{\twelveobspe}{556} 
\newcommand{\lambdatwelve}{0.081} 
\newcommand{\lambdatwelveCI}{(0.07, 0.09)} 
\newcommand{\betatildetwelve}{0.81} 
\newcommand{\betatildetwelveCI}{(0.75, 0.88)} 
\newcommand{\btwelve}{9.62} 
\newcommand{\btwelveCI}{(8.78, 10.47)} 
\newcommand{\betatwelve}{0.50} 
\newcommand{\betatwelveCI}{(0.45, 0.54)} 
\newcommand{\ainttwelve}{4.84} 
\newcommand{\ainttwelveCI}{(4.31, 5.38)} 
\newcommand{\naivetwelve}{0.37} 
\newcommand{\naivetwelveCI}{(0.26, 0.47)} 
\newcommand{\expcosttwelve}{12.33} 
\newcommand{\expcosttwelveCI}{(10.86, 13.81)} 
\newcommand{\notwelveobspe}{570} 
\newcommand{\lambdanotwelve}{0.058} 
\newcommand{\lambdanotwelveCI}{(0.05, 0.06)} 
\newcommand{\betatildenotwelve}{0.86} 
\newcommand{\betatildenotwelveCI}{(0.82, 0.89)} 
\newcommand{\bnotwelve}{9.46} 
\newcommand{\bnotwelveCI}{(8.59, 10.32)} 
\newcommand{\betanotwelve}{0.59} 
\newcommand{\betanotwelveCI}{(0.55, 0.64)} 
\newcommand{\aintnotwelve}{3.84} 
\newcommand{\aintnotwelveCI}{(3.36, 4.32)} 
\newcommand{\naivenotwelve}{0.35} 
\newcommand{\naivenotwelveCI}{(0.27, 0.43)} 
\newcommand{\expcostnotwelve}{17.26} 
\newcommand{\expcostnotwelveCI}{(15.55, 18.98)} 
\newcommand{\eightobspe}{546} 
\newcommand{\lambdaeight}{0.070} 
\newcommand{\lambdaeightCI}{(0.06, 0.08)} 
\newcommand{\betatildeeight}{0.84} 
\newcommand{\betatildeeightCI}{(0.77, 0.90)} 
\newcommand{\beight}{9.16} 
\newcommand{\beightCI}{(8.34, 9.98)} 
\newcommand{\betaeight}{0.54} 
\newcommand{\betaeightCI}{(0.49, 0.59)} 
\newcommand{\ainteight}{4.23} 
\newcommand{\ainteightCI}{(3.70, 4.76)} 
\newcommand{\naiveeight}{0.36} 
\newcommand{\naiveeightCI}{(0.24, 0.47)} 
\newcommand{\expcosteight}{14.23} 
\newcommand{\expcosteightCI}{(12.51, 15.96)} 
\newcommand{\noeightobspe}{303} 
\newcommand{\lambdanoeight}{0.060} 
\newcommand{\lambdanoeightCI}{(0.05, 0.07)} 
\newcommand{\betatildenoeight}{0.86} 
\newcommand{\betatildenoeightCI}{(0.81, 0.92)} 
\newcommand{\bnoeight}{10.64} 
\newcommand{\bnoeightCI}{(9.23, 12.04)} 
\newcommand{\betanoeight}{0.61} 
\newcommand{\betanoeightCI}{(0.55, 0.67)} 
\newcommand{\aintnoeight}{4.13} 
\newcommand{\aintnoeightCI}{(3.39, 4.86)} 
\newcommand{\naivenoeight}{0.35} 
\newcommand{\naivenoeightCI}{(0.24, 0.47)} 
\newcommand{\expcostnoeight}{16.69} 
\newcommand{\expcostnoeightCI}{(14.37, 19.00)} 
\newcommand{\sixteenobspe}{275} 
\newcommand{\lambdasixteen}{0.097} 
\newcommand{\lambdasixteenCI}{(0.08, 0.12)} 
\newcommand{\betatildesixteen}{0.75} 
\newcommand{\betatildesixteenCI}{(0.63, 0.86)} 
\newcommand{\bsixteen}{10.30} 
\newcommand{\bsixteenCI}{(8.94, 11.67)} 
\newcommand{\betasixteen}{0.47} 
\newcommand{\betasixteenCI}{(0.39, 0.55)} 
\newcommand{\aintsixteen}{5.46} 
\newcommand{\aintsixteenCI}{(4.57, 6.34)} 
\newcommand{\naivesixteen}{0.48} 
\newcommand{\naivesixteenCI}{(0.33, 0.64)} 
\newcommand{\expcostsixteen}{10.33} 
\newcommand{\expcostsixteenCI}{(8.22, 12.44)} 
\newcommand{\nosixteenobspe}{574} 
\newcommand{\lambdanosixteen}{0.060} 
\newcommand{\lambdanosixteenCI}{(0.05, 0.07)} 
\newcommand{\betatildenosixteen}{0.85} 
\newcommand{\betatildenosixteenCI}{(0.81, 0.89)} 
\newcommand{\bnosixteen}{9.11} 
\newcommand{\bnosixteenCI}{(8.28, 9.94)} 
\newcommand{\betanosixteen}{0.58} 
\newcommand{\betanosixteenCI}{(0.54, 0.62)} 
\newcommand{\aintnosixteen}{3.83} 
\newcommand{\aintnosixteenCI}{(3.37, 4.29)} 
\newcommand{\naivenosixteen}{0.36} 
\newcommand{\naivenosixteenCI}{(0.28, 0.43)} 
\newcommand{\expcostnosixteen}{16.70} 
\newcommand{\expcostnosixteenCI}{(15.09, 18.30)}