Some Balanced Bipartite Row-column Designs
نویسندگان
چکیده
A series of balanced bipartite row-column designs (BBPRC-designs) into sets of treatments with v1=4t+3 (test treatments) v2=2t+2 (control treatments) with varying replication has been obtained by supplementing a set of v2=2t+2 treatments in blank positions of non-orthogonal RC design of Agrawal (1966). Such designs find applications in agricultural and industrial experimentation where the investigator wishes to provide unequal replications to two sets of treatments or wishes to estimate the two sets with different precaution and at the same time wants to estimate heterogeneity due to two sources. The variances for different types of comparison have also been worked out.
منابع مشابه
Latin Square Type Bipartite Row-column Designs
A class of Balanced Bipartite Row-Column Designs (BBPRC-designs) in two sets of treatments of sizes v1=v and v2=v+1 with replications 2(v-1) and 2v, respectively, has been constructed by replacing the ii-th positions of 2v × 2v standard cyclic latin square design in 2v treatments by 2v treatments by (2v+1)-th treatment. Such design finds applications in agricultural and industrial experimentati...
متن کاملRow-column designs for comparing treatments with a control
This paper considers the problem of the design and analysis of experiments for comparing several treatments with a control when heterogeneity is to be eliminated in two directions. A class of row-column designs which are balanced for treatment vs. control comparisons (referred to as the balanced treatment vs. control row-column or BTCRC designs) is proposed. These designs are analogs of the so-...
متن کاملOptimality Status of Incomplete Layout Three-Way Balanced Designs and Optimal Designs Under Heteroscedastic Errors in Linear Regression
The setup is that of a row-column design (also called a three-way design) and the model is that of fixed effects additive model with homoscedastic errors. We say that the row and column classifications represent known heterogeneity directions and the treatment effects correspond to the third component of variation. Our primary task is to provide efficient comparisons of the treatment effects. F...
متن کاملBalanced Treatment-Control Row-Column Designs
Row-column designs (RCD) are used in experimental situations when the heterogeneity in the experimental material is due to two cross classified sources. In such trials, there may be situations in which the experimenter wants to compare a set of new (test) treatments with an already existing (control) treatment. The experimenter is interested in comparing test treatments with the control with mo...
متن کاملA Class of Optimal Row-column Designs with Some Empty Cells
Agrawal (1966) constructed a series of row column designs with rowcolumn incidence structure J − I . We show that there exist designs which strongly dominate Agrawal’s designs for all v ≥ 4 and are therefore to be preferred with respect to any optimality criterion. These dominating designs are E-optimal within the entire class of such row-column designs and are also highly Aand D-efficient. Som...
متن کامل