  I show how the existing observational data on Local Group dwarf galaxies can
be used to estimate the average star formation law during the first 3 Gyr of
the history of the universe. I find that the observational data are consistent
with the orthodox Schmidt law with a star formation efficiency of about 4
percent if the star formation is continuous (during the first 3 Gyr). The
efficiency is proportionally higher if most of the gas in the dwarfs was
consumed (and never replenished) in a short time interval well before the
universe turned 3 Gyr.
