  Random allocation models used in clinical trials aid researchers in
determining which of a particular treatment provides the best results by
reducing bias between groups. Often however, this determination leaves
researchers battling ethical issues of providing patients with unfavorable
treatments. Many methods such as Play the Winner and Randomized Play the Winner
Rule have historically been utilized to determine patient allocation, however,
these methods are prone to the increased assignment of unfavorable treatments.
Recently a new Bayesian Method using Decreasingly Informative Priors has been
proposed by \citep{sabo2014adaptive}, and later \citep{donahue2020allocation}.
Yet this method can be time consuming if MCMC methods are required. We propose
the use of a new method which uses Dynamic Linear Model (DLM)
\citep{harrison1999bayesian} to increase allocation speed while also decreasing
patient allocation samples necessary to identify the more favorable treatment.
Furthermore, a sensitivity analysis is conducted on multiple parameters.
Finally, a Bayes Factor is calculated to determine the proportion of unused
patient budget remaining at a specified cut off and this will be used to
determine decisive evidence in favor of the better treatment.
