@article{article_96783, title={Mathematical Programming for Estimation of Parameters in Random Blocks Model(Review)}, journal={Gazi University Journal of Science}, volume={19}, pages={41–48}, year={2010}, author={Şanlı, Kamile and Apaydın, Ayşen}, keywords={MINMAD, Goal Programming, Randomize Block Design, Completed Random Block}, abstract={<p class="MsoNormal" style="margin: 0cm 3.6pt 0pt 0cm; text-align: justify;"> <span style="font-size: 8pt;"> <span style="font-family: Times New Roman;">Parameter estimation is quite important in Statistics. Statisticians are engaged in various studies on this problem. Use of optimization methods in the solution of this estimation problem have become common especially after 1970’s. The present study has the objective of estimating parameters in a random blocks design, completed random block design, balanced-incomplete random block design, and random block design in the case <span style="mso-spacerun: yes;">  </span>of a missing observation model equation capitalizing on the significance of optimization methods in statistics. In this study, minimum mean absolute deviations (MINMAD) method is defined and suggests the goal programming (GP) model for estimation of parameters in the random blocks model equation and compares the results obtained with those given by least squares method (LSM) </span> </span> </p> <p class="MsoNormal" style="margin: 0cm 3.6pt 0pt 0cm; text-align: justify;"> <span style="font-size: 8pt;"> <span style="font-family: Times New Roman;">  </span> </span> </p> <p class="MsoNormal" style="margin: 0cm 3.6pt 0pt 0cm; text-align: justify;"> <span style="font-family: Times New Roman;"> <strong style="mso-bidi-font-weight: normal;"> <span style="font-size: 8pt;">Keywords: </span> </strong> <span style="font-size: 8pt;"> MINMAD, Goal Programming, Randomize Block Design, Completed Random Block Design, Balanced-incomplete <span style="mso-spacerun: yes;">  </span>Random Block Design, Random Block Design in Case of a Missing Observation </span> </span> </p>}, number={1}, publisher={Gazi University}