11607

10656

كارشناسي ارشد

آمار

اصفهان: دانشگاه صنعتي اصفهان، دانشكده علوم رياضي

1395

نه،79ص.: مصور،جدول

ص.ع.به فارسي و انگليسي

سعيد پولادساز

ايرج كاظمي، ريحانه ريخته گران

1395/08/03

رياضي

ID10656

Optimal designs under some interference models Maryam Amini maryam amini@math iut ac ir 2016 Department of Mathematical Sciences Isfahan University of Technology Isfahan 84156 83111 Iran Supervisor Dr Saeid Pooladsaz spooladsaz@cc iut ac ir 2010 MSC 62k10 62k05 05B05 Keywords Neighbour e ects Universally optimal circular blocks circular neighbor balanceddesign interference model AbstractThe assumptions in the classical block model are that the response on a plot particular treatmentdoes not e ect the response on the neighboring plots and the treatments assocated with plots in ablock is constant In many experiments especially in agriculture the response on a given plot may be a ected bytreatment on neighboring plots as well as by the treatments applied to that plot there fore theestimates of treatment di erences may therefore devated because of interference of neighboring unitsplots Neighbor balanced block designs are used for modeling and controling inter ference e ectsbetween neighboring plots which all the designs are assumed such as in the direction of the blocks say left neighbor and right neighbor e ects Optimality of designs under interference model isstudied In this thesis three di erent types of models M1 M2 and M3 in related to neighbor e ects areconsidered when observation are uncorrelated These models are M1 yi j d i j d i 1 j j i j M1 yi j d i j d i 1 j j i j M2 yi j d i j d i 1 j d i 1 j j i j M3 yi j d i j d i 1 j d i 1 j j i j

سعيد پولادساز

ايرج كاظمي، ريحانه ريخته گران