Graphical methods are often used as exploratory tools in analyses of l
arge data sets. Their use for exploratory purposes in the context of d
esigned experiments is less extensive, however, perhaps because most e
xperiments produce relatively small amounts of data. In this article,
we show how graphical methods exploiting the structure in a design can
be used to reveal interesting patterns in the data and highlight effe
cts not necessarily associated with factors in the design. The methods
are presented in the context of an analysis of data from a large expe
riment (over 3,000 observations) designed to investigate the causes of
solder defects on circuit boards.