The error has since been rectified by the Guardian
At the start of Richard Linklater's extraordinary, deeply moving Boyhood, seven-year-old Mason (Ellar Coltrane) ups-sticks for Houston. He dismantles his bedroom and helps tidy the house, daubing white paint over the pencil marks on the doorframe which have measured the growth of him and his sister (Lorelei Linklater) from infancy until now.
The pronoun, him, is used because it is the object of the verb measure.
But it is also possible to say,
... which have measured his height, and that of his sister from infancy until now.
... which have measured his height, and his sister's [height] from infancy until now.