The Hansen and Lebedeff data set on global surface air temperature cha
nge is reanalyzed using smoothing splines designed to estimate the con
ditional quantile functions of global temperature over the last centur
y. It is assumed only that the quantiles are smooth functions of time.
The smoothness of the fitted quantile functions is determined by a da
ta driven version of the Schwarz criterion. The estimates offer statis
tical evidence of a break in the generally upward sloping trend of the
temperature series during the period from 1940 to 1965, a finding ori
ginally suggested by Hansen and Lebedeff (1987).