Balanced incomplete block design

When the block size is smaller than the number of treatments to be evaluated, incomplete block designs may be used [Yates (1936)]. Balanced incomplete block designs give approximately the same precision to all pairs of treatments. 

The following is a symmetrical (i.e., the number of blocks equals the number of treatments) balanced incomplete block design ... 

What is the relationship - Youden square designs Latin square designs balanced incomplete block designs randomized complete block designs ... 

The ruggedization of the analytical procedure was performed by applying statistical screening techniques to minimize the effort required and, therefore, reduce the time and the cost substantially. The statistical approaches used in this study were those first introduced by Plackett-Burman (3.) and Youden-Steiner (4). Both techniques reduce the required effort since they use balanced incomplete block design experiments which can clearly indicate the non-affecting parameters from those that may have an effect. In this study the important variables of the analytical method were identified by using the Plackett-Burman technique. 

The optimization of the atomic absorption method of determining metals in particulates found in the air of workplace is described. The Plackett-Burman Youden-Steiner balanced incomplete block designs as well as single-factor experiments were utilized with ten metals Be, Cd, Co, Cr, Cu, Mn, Mo, Ni, Pb, and Pd. Of the parameters tested, perchloric acid digestion, flame-stoichiometry, and the composition of the calibration standards were the most significant. Perchloric acid affected the recoveries of chromium. This was attributed to the formation of volatile chromylchloride. Flame-related phenomena and interelemental effects were brought under control using lanthanum flame buffer. 

Nguyen (1996) showed that E(s2 )-optimal supersaturated designs could be obtained from balanced incomplete block designs for n - 1 treatments in blocks of size n/2 - 1, provided that there are no repeated blocks. Each block generates a... 

Consumers received 30 samples, each coded with a three-digit number, in a single session. For each subject, the 30 samples were selected from the 34 samples according to a balanced incomplete block design (BIBD). The order of presentation of the samples was randomized for each subject. 

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