\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)}