A two-stage procedure on comparing several experimental treatments and a control--the common and unknown variance case
نویسندگان
چکیده
This paper introduces a two-stage selection rule to compare several experimental treatments with a control when the variances are common and unknown. The selection rule integrates the indifference zone approach and the subset selection approach in multipledecision theory. Twomutually exclusive subsets of the parameter space are defined, one is called the preference zone (PZ) and the other, the indifference zone (IZ). The best experimental treatment is defined to be the experimental treatment with the largest population mean. The selection procedure opts to select only the experimental treatment which corresponds to the largest sample mean when the parameters are in the PZ, and selects a subset of the experimental treatments and the control when the parameters fall in the IZ. The concept of a correct decision is defined differently in these two zones. A correct decision in the preference zone (CD1) is defined to be the event that the best experimental treatment is selected. In the indifference zone, a selection is called correct (CD2) if the selected subset contains the best experimental treatment. Theoretical results on the lower bounds for P(CD1) in PZ and P(CD2) in IZ are developed. A table is computed for the implementation of the selection procedure.
منابع مشابه
تاثیر چرخش لگنی نشسته برتوانایی فیزیکی زنان نخستزای مبتلا به کمردرد در سه ماههی سوم حاملگی
Background and Objectives: Low back pain is one of the most common complaints in pregnancy which interferes with work, daily activities and sleep. The aim of this study was to determine the effect of Sitting Pelvic Tilt Exercise on physical disability in primigravidas with low back pain during the third trimester. Materials and Methods: This quasi-experimental study was carried out on 60 primig...
متن کاملOn the Performance of a Multivariate Control Chart in Multistage Environment
In this paper, a Multivariate-Multistage Quality Control (MVMSQC) procedure is investigated. In this procedure discriminate analysis, linear regression and control chart theory are combined to control the means of correlated characteristics of a process, which involves several serial stages. Furthermore, the quality of the output at each stage depends on the output of the previous stage as well...
متن کاملTeaching practical medical bacteriology accommodate with job analysis
Introduction: In routine procedure, education of practical medical bacteriology is not related with job analysis. The aim of this study was designing and performance of practical medical bacteriology education based on job analysis. Methods: This interventional study was performed in second semester in 1388-1389 in the practical course of bacteriology for 40 second-year medical students. The ...
متن کاملComparing the effectiveness of Dialectical Behavior Therapy and Compassion Focused Therapy on blood cortisol levels and self-control in drug abusers
Background & Aim: Substance abuse disorder has an increasing negative implication in all societies. Psychological treatments are helpful in reducing this disorder. The aim of this study was to compare the effectiveness of Dialectical Behavior Therapy and Compassion Focused Therapy on blood cortisol levels and self-control in drug abusers. Methods: The research method was quasi-experimental. Th...
متن کاملبررسی رابطه بین ایندکس پاتلا و درد جلوی زانو
Background and purpose: Anterior knee pain is one of the most common symptoms for referral reasons to orthopedic clinics specially knee clinic. This type of pain is one of the most common complaints in adolescents and adults, for various. The most common cause is patellar chondromalasia, but in many cases, no definitive cause is found through clinical examinations, paraclinic and imaging proc...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- JAMDS
دوره 9 شماره
صفحات -
تاریخ انتشار 2005