Your link is invalid, and Kelvin is measured in degrees.
From the site:
The 13th CGPM (1967) adopted the name kelvin (symbol K) instead of "degree Kelvin" (symbol °K) and defined the unit of thermodynamic temperature as follows:
The kelvin, unit of thermodynamic temperature, is the fraction 1/273.16 of the thermodynamic temperature of the triple point of water.
From http://www.simetric.co.uk/sibasis.htm - unit "degree Celsius" is therefore equal to the unit "kelvin." (note: not degree Kelvin)
I'd be interested in knowing what standards body has changed it.