107/replication_package/Output/numbers_struct_appx.tex

\newcommand{\allVobspe}{1,126} 
\newcommand{\lambdaallV}{0.064} 
\newcommand{\lambdaallVCI}{(0.06, 0.07)} 
\newcommand{\betatildeallV}{0.82} 
\newcommand{\betatildeallVCI}{(0.74, 0.89)} 
\newcommand{\ballV}{4.57} 
\newcommand{\ballVCI}{(3.56, 5.58)} 
\newcommand{\betaallV}{0.33} 
\newcommand{\betaallVCI}{(0.24, 0.42)} 
\newcommand{\aintallV}{3.07} 
\newcommand{\aintallVCI}{(2.64, 3.49)} 
\newcommand{\naiveallV}{0.28} 
\newcommand{\naiveallVCI}{(0.19, 0.36)} 
\newcommand{\expcostallV}{15.58} 
\newcommand{\expcostallVCI}{(13.73, 17.43)} 
\newcommand{\controlVobspe}{560} 
\newcommand{\lambdacontrolV}{0.065} 
\newcommand{\lambdacontrolVCI}{(0.06, 0.07)} 
\newcommand{\betatildecontrolV}{0.83} 
\newcommand{\betatildecontrolVCI}{(0.75, 0.90)} 
\newcommand{\bcontrolV}{4.96} 
\newcommand{\bcontrolVCI}{(3.66, 6.25)} 
\newcommand{\betacontrolV}{0.30} 
\newcommand{\betacontrolVCI}{(0.20, 0.40)} 
\newcommand{\aintcontrolV}{3.47} 
\newcommand{\aintcontrolVCI}{(2.86, 4.08)} 
\newcommand{\naivecontrolV}{0.25} 
\newcommand{\naivecontrolVCI}{(0.16, 0.33)} 
\newcommand{\expcostcontrolV}{15.47} 
\newcommand{\expcostcontrolVCI}{(13.36, 17.57)} 
\newcommand{\treatVobspe}{392} 
\newcommand{\lambdatreatV}{0.062} 
\newcommand{\lambdatreatVCI}{(0.04, 0.08)} 
\newcommand{\betatildetreatV}{0.77} 
\newcommand{\betatildetreatVCI}{(0.57, 0.96)} 
\newcommand{\btreatV}{4.69} 
\newcommand{\btreatVCI}{(2.42, 6.95)} 
\newcommand{\betatreatV}{0.38} 
\newcommand{\betatreatVCI}{(0.18, 0.58)} 
\newcommand{\ainttreatV}{2.91} 
\newcommand{\ainttreatVCI}{(2.16, 3.66)} 
\newcommand{\naivetreatV}{0.38} 
\newcommand{\naivetreatVCI}{(0.17, 0.58)} 
\newcommand{\expcosttreatV}{16.05} 
\newcommand{\expcosttreatVCI}{(11.51, 20.60)} 
\newcommand{\bmVobspe}{550} 
\newcommand{\lambdabmV}{0.052} 
\newcommand{\lambdabmVCI}{(0.04, 0.06)} 
\newcommand{\betatildebmV}{0.89} 
\newcommand{\betatildebmVCI}{(0.79, 1.00)} 
\newcommand{\bbmV}{3.88} 
\newcommand{\bbmVCI}{(2.77, 4.99)} 
\newcommand{\betabmV}{0.15} 
\newcommand{\betabmVCI}{(0.03, 0.28)} 
\newcommand{\aintbmV}{3.28} 
\newcommand{\aintbmVCI}{(2.60, 3.97)} 
\newcommand{\naivebmV}{0.13} 
\newcommand{\naivebmVCI}{(0.01, 0.24)} 
\newcommand{\expcostbmV}{19.37} 
\newcommand{\expcostbmVCI}{(16.59, 22.16)} 
\newcommand{\amVobspe}{576} 
\newcommand{\lambdaamV}{0.067} 
\newcommand{\lambdaamVCI}{(0.06, 0.08)} 
\newcommand{\betatildeamV}{0.83} 
\newcommand{\betatildeamVCI}{(0.75, 0.90)} 
\newcommand{\bamV}{6.75} 
\newcommand{\bamVCI}{(5.33, 8.16)} 
\newcommand{\betaamV}{0.52} 
\newcommand{\betaamVCI}{(0.43, 0.60)} 
\newcommand{\aintamV}{3.27} 
\newcommand{\aintamVCI}{(2.78, 3.76)} 
\newcommand{\naiveamV}{0.36} 
\newcommand{\naiveamVCI}{(0.25, 0.47)} 
\newcommand{\expcostamV}{14.90} 
\newcommand{\expcostamVCI}{(12.91, 16.90)} 
\newcommand{\bminfoavghetV}{5.66} 
\newcommand{\bminfoavghetVCI}{(4.68, 6.64)} 
\newcommand{\lambdaminfoavghetV}{0.06} 
\newcommand{\lambdaminfoavghetVCI}{(0.05, 0.07)} 
\newcommand{\betaminfoavghetV}{0.37} 
\newcommand{\betaminfoavghetVCI}{(0.29, 0.44)} 
\newcommand{\betatildeminfoavghetV}{0.85} 
\newcommand{\betatildeminfoavghetVCI}{(0.79, 0.91)} 
\newcommand{\aintminfoavghetV}{3.34} 
\newcommand{\aintminfoavghetVCI}{(2.88, 3.79)} 
\newcommand{\naiveminfoavghetV}{0.27} 
\newcommand{\naiveminfoavghetVCI}{(0.19, 0.35)} 
\newcommand{\expcostminfoavghetV}{17.36} 
\newcommand{\expcostminfoavghetVCI}{(15.61, 19.11)} 
\newcommand{\twelveVobspe}{556} 
\newcommand{\lambdatwelveV}{0.073} 
\newcommand{\lambdatwelveVCI}{(0.06, 0.09)} 
\newcommand{\betatildetwelveV}{0.81} 
\newcommand{\betatildetwelveVCI}{(0.69, 0.93)} 
\newcommand{\btwelveV}{4.96} 
\newcommand{\btwelveVCI}{(3.46, 6.46)} 
\newcommand{\betatwelveV}{0.28} 
\newcommand{\betatwelveVCI}{(0.15, 0.41)} 
\newcommand{\ainttwelveV}{3.57} 
\newcommand{\ainttwelveVCI}{(2.93, 4.21)} 
\newcommand{\naivetwelveV}{0.26} 
\newcommand{\naivetwelveVCI}{(0.13, 0.39)} 
\newcommand{\expcosttwelveV}{13.64} 
\newcommand{\expcosttwelveVCI}{(11.21, 16.07)} 
\newcommand{\eightVobspe}{546} 
\newcommand{\lambdaeightV}{0.063} 
\newcommand{\lambdaeightVCI}{(0.05, 0.07)} 
\newcommand{\betatildeeightV}{0.85} 
\newcommand{\betatildeeightVCI}{(0.73, 0.97)} 
\newcommand{\beightV}{4.54} 
\newcommand{\beightVCI}{(3.17, 5.91)} 
\newcommand{\betaeightV}{0.33} 
\newcommand{\betaeightVCI}{(0.20, 0.46)} 
\newcommand{\ainteightV}{3.03} 
\newcommand{\ainteightVCI}{(2.47, 3.60)} 
\newcommand{\naiveeightV}{0.23} 
\newcommand{\naiveeightVCI}{(0.08, 0.37)} 
\newcommand{\expcosteightV}{15.88} 
\newcommand{\expcosteightVCI}{(13.21, 18.56)} 
\newcommand{\sixteenVobspe}{275} 
\newcommand{\lambdasixteenV}{0.087} 
\newcommand{\lambdasixteenVCI}{(0.06, 0.12)} 
\newcommand{\betatildesixteenV}{0.74} 
\newcommand{\betatildesixteenVCI}{(0.52, 0.97)} 
\newcommand{\bsixteenV}{5.28} 
\newcommand{\bsixteenVCI}{(2.46, 8.11)} 
\newcommand{\betasixteenV}{0.26} 
\newcommand{\betasixteenVCI}{(0.04, 0.47)} 
\newcommand{\aintsixteenV}{3.93} 
\newcommand{\aintsixteenVCI}{(2.77, 5.09)} 
\newcommand{\naivesixteenV}{0.34} 
\newcommand{\naivesixteenVCI}{(0.13, 0.56)} 
\newcommand{\expcostsixteenV}{11.45} 
\newcommand{\expcostsixteenVCI}{(7.60, 15.30)} 
\newcommand{\allXobspe}{1,126} 
\newcommand{\lambdaallX}{0.062} 
\newcommand{\lambdaallXCI}{(0.06, 0.07)} 
\newcommand{\betatildeallX}{0.91} 
\newcommand{\betatildeallXCI}{(0.89, 0.93)} 
\newcommand{\ballX}{20.70} 
\newcommand{\ballXCI}{(20.08, 21.32)} 
\newcommand{\betaallX}{0.74} 
\newcommand{\betaallXCI}{(0.72, 0.76)} 
\newcommand{\aintallX}{5.35} 
\newcommand{\aintallXCI}{(4.88, 5.81)} 
\newcommand{\naiveallX}{0.34} 
\newcommand{\naiveallXCI}{(0.28, 0.41)} 
\newcommand{\expcostallX}{16.19} 
\newcommand{\expcostallXCI}{(15.17, 17.20)} 
\newcommand{\controlXobspe}{560} 
\newcommand{\lambdacontrolX}{0.062} 
\newcommand{\lambdacontrolXCI}{(0.06, 0.07)} 
\newcommand{\betatildecontrolX}{0.92} 
\newcommand{\betatildecontrolXCI}{(0.90, 0.94)} 
\newcommand{\bcontrolX}{20.95} 
\newcommand{\bcontrolXCI}{(20.09, 21.82)} 
\newcommand{\betacontrolX}{0.73} 
\newcommand{\betacontrolXCI}{(0.71, 0.76)} 
\newcommand{\aintcontrolX}{5.56} 
\newcommand{\aintcontrolXCI}{(5.01, 6.11)} 
\newcommand{\naivecontrolX}{0.29} 
\newcommand{\naivecontrolXCI}{(0.22, 0.36)} 
\newcommand{\expcostcontrolX}{16.14} 
\newcommand{\expcostcontrolXCI}{(14.75, 17.53)} 
\newcommand{\treatXobspe}{392} 
\newcommand{\lambdatreatX}{0.060} 
\newcommand{\lambdatreatXCI}{(0.05, 0.07)} 
\newcommand{\betatildetreatX}{0.88} 
\newcommand{\betatildetreatXCI}{(0.84, 0.93)} 
\newcommand{\btreatX}{21.18} 
\newcommand{\btreatXCI}{(20.06, 22.30)} 
\newcommand{\betatreatX}{0.74} 
\newcommand{\betatreatXCI}{(0.70, 0.78)} 
\newcommand{\ainttreatX}{5.51} 
\newcommand{\ainttreatXCI}{(4.54, 6.48)} 
\newcommand{\naivetreatX}{0.45} 
\newcommand{\naivetreatXCI}{(0.33, 0.57)} 
\newcommand{\expcosttreatX}{16.77} 
\newcommand{\expcosttreatXCI}{(14.87, 18.67)} 
\newcommand{\bmXobspe}{550} 
\newcommand{\lambdabmX}{0.063} 
\newcommand{\lambdabmXCI}{(0.06, 0.07)} 
\newcommand{\betatildebmX}{0.89} 
\newcommand{\betatildebmXCI}{(0.86, 0.93)} 
\newcommand{\bbmX}{18.31} 
\newcommand{\bbmXCI}{(17.63, 18.99)} 
\newcommand{\betabmX}{0.68} 
\newcommand{\betabmXCI}{(0.66, 0.71)} 
\newcommand{\aintbmX}{5.84} 
\newcommand{\aintbmXCI}{(5.21, 6.47)} 
\newcommand{\naivebmX}{0.33} 
\newcommand{\naivebmXCI}{(0.25, 0.42)} 
\newcommand{\expcostbmX}{15.80} 
\newcommand{\expcostbmXCI}{(14.44, 17.15)} 
\newcommand{\amXobspe}{576} 
\newcommand{\lambdaamX}{0.060} 
\newcommand{\lambdaamXCI}{(0.06, 0.07)} 
\newcommand{\betatildeamX}{0.93} 
\newcommand{\betatildeamXCI}{(0.91, 0.95)} 
\newcommand{\bamX}{23.39} 
\newcommand{\bamXCI}{(22.28, 24.51)} 
\newcommand{\betaamX}{0.80} 
\newcommand{\betaamXCI}{(0.78, 0.82)} 
\newcommand{\aintamX}{4.66} 
\newcommand{\aintamXCI}{(4.03, 5.29)} 
\newcommand{\naiveamX}{0.35} 
\newcommand{\naiveamXCI}{(0.26, 0.44)} 
\newcommand{\expcostamX}{16.55} 
\newcommand{\expcostamXCI}{(15.06, 18.03)} 
\newcommand{\bminfoavghetX}{21.30} 
\newcommand{\bminfoavghetXCI}{(20.55, 22.04)} 
\newcommand{\lambdaminfoavghetX}{0.06} 
\newcommand{\lambdaminfoavghetXCI}{(0.06, 0.07)} 
\newcommand{\betaminfoavghetX}{0.75} 
\newcommand{\betaminfoavghetXCI}{(0.73, 0.76)} 
\newcommand{\betatildeminfoavghetX}{0.92} 
\newcommand{\betatildeminfoavghetXCI}{(0.90, 0.94)} 
\newcommand{\aintminfoavghetX}{5.28} 
\newcommand{\aintminfoavghetXCI}{(4.83, 5.74)} 
\newcommand{\naiveminfoavghetX}{0.33} 
\newcommand{\naiveminfoavghetXCI}{(0.27, 0.40)} 
\newcommand{\expcostminfoavghetX}{16.93} 
\newcommand{\expcostminfoavghetXCI}{(15.77, 18.08)} 
\newcommand{\twelveXobspe}{556} 
\newcommand{\lambdatwelveX}{0.073} 
\newcommand{\lambdatwelveXCI}{(0.07, 0.08)} 
\newcommand{\betatildetwelveX}{0.90} 
\newcommand{\betatildetwelveXCI}{(0.87, 0.93)} 
\newcommand{\btwelveX}{20.83} 
\newcommand{\btwelveXCI}{(19.95, 21.71)} 
\newcommand{\betatwelveX}{0.71} 
\newcommand{\betatwelveXCI}{(0.69, 0.74)} 
\newcommand{\ainttwelveX}{5.97} 
\newcommand{\ainttwelveXCI}{(5.29, 6.64)} 
\newcommand{\naivetwelveX}{0.34} 
\newcommand{\naivetwelveXCI}{(0.25, 0.43)} 
\newcommand{\expcosttwelveX}{13.76} 
\newcommand{\expcosttwelveXCI}{(12.56, 14.95)} 
\newcommand{\eightXobspe}{546} 
\newcommand{\lambdaeightX}{0.065} 
\newcommand{\lambdaeightXCI}{(0.06, 0.07)} 
\newcommand{\betatildeeightX}{0.91} 
\newcommand{\betatildeeightXCI}{(0.88, 0.94)} 
\newcommand{\beightX}{20.12} 
\newcommand{\beightXCI}{(19.27, 20.97)} 
\newcommand{\betaeightX}{0.74} 
\newcommand{\betaeightXCI}{(0.71, 0.77)} 
\newcommand{\ainteightX}{5.22} 
\newcommand{\ainteightXCI}{(4.54, 5.90)} 
\newcommand{\naiveeightX}{0.35} 
\newcommand{\naiveeightXCI}{(0.24, 0.45)} 
\newcommand{\expcosteightX}{15.39} 
\newcommand{\expcosteightXCI}{(14.01, 16.78)} 
\newcommand{\sixteenXobspe}{275} 
\newcommand{\lambdasixteenX}{0.082} 
\newcommand{\lambdasixteenXCI}{(0.07, 0.09)} 
\newcommand{\betatildesixteenX}{0.87} 
\newcommand{\betatildesixteenXCI}{(0.81, 0.92)} 
\newcommand{\bsixteenX}{22.16} 
\newcommand{\bsixteenXCI}{(20.69, 23.63)} 
\newcommand{\betasixteenX}{0.69} 
\newcommand{\betasixteenXCI}{(0.65, 0.73)} 
\newcommand{\aintsixteenX}{6.78} 
\newcommand{\aintsixteenXCI}{(5.64, 7.92)} 
\newcommand{\naivesixteenX}{0.44} 
\newcommand{\naivesixteenXCI}{(0.31, 0.57)} 
\newcommand{\expcostsixteenX}{12.26} 
\newcommand{\expcostsixteenXCI}{(10.62, 13.91)} 
\newcommand{\allnoconfusedobspe}{1,031} 
\newcommand{\lambdaallnoconfused}{0.069} 
\newcommand{\lambdaallnoconfusedCI}{(0.06, 0.07)} 
\newcommand{\betatildeallnoconfused}{0.84} 
\newcommand{\betatildeallnoconfusedCI}{(0.80, 0.88)} 
\newcommand{\ballnoconfused}{9.39} 
\newcommand{\ballnoconfusedCI}{(8.79, 9.99)} 
\newcommand{\betaallnoconfused}{0.55} 
\newcommand{\betaallnoconfusedCI}{(0.51, 0.59)} 
\newcommand{\aintallnoconfused}{4.22} 
\newcommand{\aintallnoconfusedCI}{(3.84, 4.59)} 
\newcommand{\naiveallnoconfused}{0.36} 
\newcommand{\naiveallnoconfusedCI}{(0.28, 0.43)} 
\newcommand{\expcostallnoconfused}{14.56} 
\newcommand{\expcostallnoconfusedCI}{(13.36, 15.77)} 
\newcommand{\controlnoconfusedobspe}{516} 
\newcommand{\lambdacontrolnoconfused}{0.066} 
\newcommand{\lambdacontrolnoconfusedCI}{(0.06, 0.07)} 
\newcommand{\betatildecontrolnoconfused}{0.87} 
\newcommand{\betatildecontrolnoconfusedCI}{(0.84, 0.91)} 
\newcommand{\bcontrolnoconfused}{9.88} 
\newcommand{\bcontrolnoconfusedCI}{(8.99, 10.78)} 
\newcommand{\betacontrolnoconfused}{0.55} 
\newcommand{\betacontrolnoconfusedCI}{(0.51, 0.59)} 
\newcommand{\aintcontrolnoconfused}{4.43} 
\newcommand{\aintcontrolnoconfusedCI}{(3.95, 4.91)} 
\newcommand{\naivecontrolnoconfused}{0.28} 
\newcommand{\naivecontrolnoconfusedCI}{(0.20, 0.36)} 
\newcommand{\expcostcontrolnoconfused}{15.08} 
\newcommand{\expcostcontrolnoconfusedCI}{(13.53, 16.64)} 
\newcommand{\treatnoconfusedobspe}{349} 
\newcommand{\lambdatreatnoconfused}{0.071} 
\newcommand{\lambdatreatnoconfusedCI}{(0.06, 0.08)} 
\newcommand{\betatildetreatnoconfused}{0.77} 
\newcommand{\betatildetreatnoconfusedCI}{(0.67, 0.87)} 
\newcommand{\btreatnoconfused}{9.34} 
\newcommand{\btreatnoconfusedCI}{(8.33, 10.35)} 
\newcommand{\betatreatnoconfused}{0.54} 
\newcommand{\betatreatnoconfusedCI}{(0.46, 0.62)} 
\newcommand{\ainttreatnoconfused}{4.31} 
\newcommand{\ainttreatnoconfusedCI}{(3.53, 5.10)} 
\newcommand{\naivetreatnoconfused}{0.50} 
\newcommand{\naivetreatnoconfusedCI}{(0.34, 0.65)} 
\newcommand{\expcosttreatnoconfused}{14.14} 
\newcommand{\expcosttreatnoconfusedCI}{(11.62, 16.66)} 
\newcommand{\bmnoconfusedobspe}{502} 
\newcommand{\lambdabmnoconfused}{0.072} 
\newcommand{\lambdabmnoconfusedCI}{(0.06, 0.08)} 
\newcommand{\betatildebmnoconfused}{0.79} 
\newcommand{\betatildebmnoconfusedCI}{(0.71, 0.87)} 
\newcommand{\bbmnoconfused}{7.03} 
\newcommand{\bbmnoconfusedCI}{(6.41, 7.64)} 
\newcommand{\betabmnoconfused}{0.40} 
\newcommand{\betabmnoconfusedCI}{(0.35, 0.45)} 
\newcommand{\aintbmnoconfused}{4.24} 
\newcommand{\aintbmnoconfusedCI}{(3.77, 4.72)} 
\newcommand{\naivebmnoconfused}{0.35} 
\newcommand{\naivebmnoconfusedCI}{(0.23, 0.46)} 
\newcommand{\expcostbmnoconfused}{13.92} 
\newcommand{\expcostbmnoconfusedCI}{(12.00, 15.84)} 
\newcommand{\amnoconfusedobspe}{529} 
\newcommand{\lambdaamnoconfused}{0.066} 
\newcommand{\lambdaamnoconfusedCI}{(0.06, 0.07)} 
\newcommand{\betatildeamnoconfused}{0.89} 
\newcommand{\betatildeamnoconfusedCI}{(0.85, 0.93)} 
\newcommand{\bamnoconfused}{11.98} 
\newcommand{\bamnoconfusedCI}{(10.90, 13.06)} 
\newcommand{\betaamnoconfused}{0.67} 
\newcommand{\betaamnoconfusedCI}{(0.63, 0.71)} 
\newcommand{\aintamnoconfused}{3.93} 
\newcommand{\aintamnoconfusedCI}{(3.41, 4.44)} 
\newcommand{\naiveamnoconfused}{0.34} 
\newcommand{\naiveamnoconfusedCI}{(0.24, 0.44)} 
\newcommand{\expcostamnoconfused}{15.16} 
\newcommand{\expcostamnoconfusedCI}{(13.62, 16.71)} 
\newcommand{\bminfoavghetnoconfused}{9.96} 
\newcommand{\bminfoavghetnoconfusedCI}{(9.23, 10.69)} 
\newcommand{\lambdaminfoavghetnoconfused}{0.07} 
\newcommand{\lambdaminfoavghetnoconfusedCI}{(0.06, 0.08)} 
\newcommand{\betaminfoavghetnoconfused}{0.56} 
\newcommand{\betaminfoavghetnoconfusedCI}{(0.52, 0.59)} 
\newcommand{\betatildeminfoavghetnoconfused}{0.85} 
\newcommand{\betatildeminfoavghetnoconfusedCI}{(0.81, 0.89)} 
\newcommand{\aintminfoavghetnoconfused}{4.08} 
\newcommand{\aintminfoavghetnoconfusedCI}{(3.70, 4.45)} 
\newcommand{\naiveminfoavghetnoconfused}{0.34} 
\newcommand{\naiveminfoavghetnoconfusedCI}{(0.26, 0.41)} 
\newcommand{\expcostminfoavghetnoconfused}{15.44} 
\newcommand{\expcostminfoavghetnoconfusedCI}{(14.12, 16.76)} 
\newcommand{\twelvenoconfusedobspe}{507} 
\newcommand{\lambdatwelvenoconfused}{0.085} 
\newcommand{\lambdatwelvenoconfusedCI}{(0.07, 0.10)} 
\newcommand{\betatildetwelvenoconfused}{0.82} 
\newcommand{\betatildetwelvenoconfusedCI}{(0.75, 0.89)} 
\newcommand{\btwelvenoconfused}{9.12} 
\newcommand{\btwelvenoconfusedCI}{(8.32, 9.91)} 
\newcommand{\betatwelvenoconfused}{0.49} 
\newcommand{\betatwelvenoconfusedCI}{(0.45, 0.54)} 
\newcommand{\ainttwelvenoconfused}{4.61} 
\newcommand{\ainttwelvenoconfusedCI}{(4.10, 5.12)} 
\newcommand{\naivetwelvenoconfused}{0.36} 
\newcommand{\naivetwelvenoconfusedCI}{(0.25, 0.47)} 
\newcommand{\expcosttwelvenoconfused}{11.81} 
\newcommand{\expcosttwelvenoconfusedCI}{(10.36, 13.25)} 
\newcommand{\eightnoconfusedobspe}{510} 
\newcommand{\lambdaeightnoconfused}{0.074} 
\newcommand{\lambdaeightnoconfusedCI}{(0.06, 0.08)} 
\newcommand{\betatildeeightnoconfused}{0.83} 
\newcommand{\betatildeeightnoconfusedCI}{(0.76, 0.91)} 
\newcommand{\beightnoconfused}{8.69} 
\newcommand{\beightnoconfusedCI}{(7.92, 9.46)} 
\newcommand{\betaeightnoconfused}{0.55} 
\newcommand{\betaeightnoconfusedCI}{(0.49, 0.60)} 
\newcommand{\ainteightnoconfused}{3.95} 
\newcommand{\ainteightnoconfusedCI}{(3.43, 4.46)} 
\newcommand{\naiveeightnoconfused}{0.37} 
\newcommand{\naiveeightnoconfusedCI}{(0.24, 0.49)} 
\newcommand{\expcosteightnoconfused}{13.57} 
\newcommand{\expcosteightnoconfusedCI}{(11.88, 15.26)} 
\newcommand{\sixteennoconfusedobspe}{253} 
\newcommand{\lambdasixteennoconfused}{0.105} 
\newcommand{\lambdasixteennoconfusedCI}{(0.08, 0.13)} 
\newcommand{\betatildesixteennoconfused}{0.76} 
\newcommand{\betatildesixteennoconfusedCI}{(0.64, 0.88)} 
\newcommand{\bsixteennoconfused}{9.25} 
\newcommand{\bsixteennoconfusedCI}{(8.07, 10.43)} 
\newcommand{\betasixteennoconfused}{0.48} 
\newcommand{\betasixteennoconfusedCI}{(0.40, 0.56)} 
\newcommand{\aintsixteennoconfused}{4.81} 
\newcommand{\aintsixteennoconfusedCI}{(4.02, 5.60)} 
\newcommand{\naivesixteennoconfused}{0.46} 
\newcommand{\naivesixteennoconfusedCI}{(0.29, 0.63)} 
\newcommand{\expcostsixteennoconfused}{9.53} 
\newcommand{\expcostsixteennoconfusedCI}{(7.63, 11.44)}