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First published online March 21, 2005
Journal of Experimental Biology 208, 1267-1276 (2005)
Published by The Company of Biologists 2005
doi: 10.1242/jeb.01523

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Statistical analysis of modified complete randomized designs: applications to chemo-orientation studies

Ramani S. Pilla^1,*, David J. Kitska² and Catherine Loader²

¹ Department of Statistics and Department of Biology, Case Western Reserve University, Cleveland, OH 44106, USA
² Department of Statistics, Case Western Reserve University, Cleveland, OH 44106, USA

View larger version (20K): [in a new window]   Fig. 1. A design layout under a type of restricted randomization for three blocks, in which multiple subjects were challenged to a single treatment before administering the next treatment. The order of the treatments as well as the assignment of the subjects within each block were randomized.

View larger version (16K): [in a new window]   Fig. 2. An illustration of P. americana males tracking female pheromone upwind (right to left) in a laboratory wind tunnel, containing the time-averaged plume boundaries of titanium tetrachloride smoke plume in 25 cm s–1 wind. Each circle represents the body position at every 0.083 s. (A) Point source plume, 2.4 cm wide at the source spreads to 7.7 cm wide at the downwind end. (B) Ribbon plume, 1.5 cm wide at the source spreads to 6.1 cm wide at the downwind end. (C) Wide plume, 17 cm wide at the source spreads to 26.5 cm at the downwind end. (D) Cylinder plume, 7.6 cm wide at the source spreads to 68.1 cm at the downwind end.

View larger version (15K): [in a new window]   Fig. 3. A completely randomized design layout for a single block in which every subject and every treatment were individually randomized.

View larger version (19K): [in a new window]   Fig. 4. The response variable ground speed (cm s–1) for the P. americana experiment sorted first by day and next by pheromone.

View larger version (16K): [in a new window]   Fig. 5. The response variable ground speed (cm s–1) for the P. americana experiment sorted first by pheromone (Pher) and then by day.