A variety of hydraulic and ecological processes in rivers depend in part on
the grain size distribution of the riverbed. For this reason it is importa
nt to accurately sample the bed to determine the grain size distribution. T
o describe the accuracy of riverbed sediment samples, techniques based on t
he multinomial distribution are presented. These techniques allow confidenc
e intervals to be calculated for grid, areal, and volume samples. Additiona
lly, sample sizes can be estimated to achieve a desired accuracy for the th
ree sample types. A transformation is necessary when considering areal and
volume samples. This is because neither of these two sample types is well c
onditioned for statistical analysis. The transformation is based on the res
ults of a previously performed grid sample. The transformation then estimat
es either an areal or volume sample size that is necessary to match the acc
uracy of the grid sample. This procedure is useful when obtaining a hybrid
distribution from grid and areal samples. Having areal and grid sample resu
lts of known accuracy allows confidence intervals to be placed on the final
hybrid distribution. A series of laboratory experiments is used to illustr
ate the various techniques. Comparisons are also made with techniques prese
nted in the literature.