Randomized Complete Block Designs(RCBD) , Balanced Incomplete Block Designs (BIBD) and the so called Generalized Lattice Designs Alpha Designs are useful designs in Biostatistics. A complete table of BIBDs with the smallest number b of blocks with at most v =25 treatments and block sizes k for 2<k≤v/2. is presented. Such a table did not exist until now. The analysis of the different block designs (Randomized Complete Block design, BIBDs and Alpha Design) is here not done with the commercial statistical packages SAS or SPSS. These packages can now only be hired for a year and are quite expensive. We used the package of R for the analysis, which is free of charge and it is now used in most Universities.