TAILIEUCHUNG - An exponential model for treatment effects without a control group

This approach provides sufficient information to make inferences about the effect of a treatment without using a control group who will be otherwise denied treatment, as an alternative method to the commonly used controlled clinical trials. | Turk J Math 29 (2005) , 193 – 200. ¨ ITAK ˙ c TUB An Exponential Model for Treatment Effects Without a Control Group Kemal G¨ ursoy Abstract It may be desirable to estimate the behaviour of a pair of random variables and their functions through the information acquired by utilizing only one of them and its functions. In this work, such an approach has been used. Motivated by the need to provide treatment to every patient in a new drug trial, an exponential model was considered. This approach provides sufficient information to make inferences about the effect of a treatment without using a control group who will be otherwise denied treatment, as an alternative method to the commonly used controlled clinical trials. Key Words: Controlled clinical trials, exponential probability distribution. 1. Introduction It is one of the major human activities to acquire information from the observation of experiments. In one approach, Fisher [3] proposed a method in which random samples are selected from a population under study, until sufficient statistics are obtained and characteristics of the population are estimated by utilizing the sample information. In the medical field, design of experiments are widely based on Fisher’s method, known as controlled clinical trials model. It refers to comparing the behaviour of two groups, both randomly selected from the same ill population: one, a control group which does not receive treatment but instead a placebo (usually some harmless nontreatment); the other, which receives the treatment being evaluated. Then the effect of the treatment is inferred 2000 AMS Mathematics Subject Classification: 62C12, 62P10 193 ¨ GURSOY by comparing the average behaviour of these two groups. A brief exposure to diverse utilization areas of controlled clinical trials may be acquired from references [1], [2], [5], [10] and [11]. There has been an alternative method to acquire the desired information about the effect of treatments, without .

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