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where $\sigma$ is the time resolution of a single scintillator detector. This relationship is due to the convolution of two identical Gaussian distributions corresponding to the individual scintillator detectors. In cases where we use a reference scintillator detector with a known time resolution, the CTR of an unknown scintillator detector is determined by subtraction in quadrature and a subsequent scaling such that  \begin{align}  \text{CTR} = 2\sqrt{2\ln{2}}\sqrt{\sigma^2-\sigma_\textrm{ref}^2} 4\sqrt{\ln{2}}\sqrt{\sigma_\textrm{measured}^2-\sigma_\textrm{ref}^2}  \end{align}  where $\sigma_\textrm{measured}$ is the measured time resolution and  $\sigma_\text{ref}$ is the reference time resolution. All CTR values in this paper are given in picoseconds. \subsection{Analysis of Data}  The parameters describing the location and scale of the Gaussian distributions, namely the photopeaks and delay peak per measurement, were found by weighted least-squared fit. The error per bin was assumed Poissonian and thus taken as the square root of the number of measurements per bin. The standard error in the fit parameters were determined by the bootstrap\cite{degroot2012probability}. The full code used to perform the peak detection, peak fitting, parameter error determination and image \& table generation can be found at \href{https://github.com/marksbrown/ProcessingCTRData}{https://github.com/marksbrown/ProcessingCTRData}. An online version of this paper can be found at \cite{Brown2014}.