ARTICLE
TITLE

On balanced minimal repeated measurements designs

SUMMARY

Repeated Measurements designs are concerned with scientific experiments in which each experimental unit is assigned more than once to a treatment either different or identical. This class of designs has the property that the unbiased estimators for elementary contrasts among direct and residual effects are obtainable. Afsarinejad (1983) provided a method of constructing balanced Minimal Repeated Measurements designs p < t , when t is an odd or prime power, one or more than one treatment may occur more than once in some sequences and  designs so constructed no longer remain uniform in periods. In this paper an attempt has been made to provide a new method to overcome this drawback. Specifically, two cases have been considered                RM[t,n=t(t-t)/(p-1),p], ?2=1 for balanced minimal repeated measurements designs and  RM[t,n=2t(t-t)/(p-1),p], ?2=2 for balanced  repeated measurements designs. In addition , a method has been provided for constructing              extra-balanced minimal designs for special case RM[t,n=t2/(p-1),p], ?2=1.

 Articles related

Sandra Walzenbach    

Factorial survey designs have gained increasing popularity within the social sciences. Compared to single-item questions, the method allows the researcher to model more realistic, multidimensional decision scenarios. Furthermore, it has been argued that ... see more


Daniel G Pike, Charles GM Paxton, Thorvaldur Gunnlaugsson, Gísli A Víkingsson    

Aerial surveys were carried out in coastal Icelandic waters 4 times between 1986 and 2001 as part of the North Atlantic Sightings Surveys. The surveys had nearly identical designs in 3 of the 4 years. The target species was the minke whale (Balaenoptera ... see more


Jonathon Love,Ravi Selker,Maarten Marsman,Tahira Jamil,Damian Dropmann,Josine Verhagen,Alexander Ly,Quentin F. Gronau,Martin Šmíra,Sacha Epskamp,Dora Matzke,Anneliese Wild,Patrick Knight,Jeffrey N. Rouder,Richard D. Morey,Eric-Jan Wagenmakers    

-