Scrabble was first published in 1948. Shortly thereafter, it was ripped off for the Swedish market by a firm named Lemeco, under the tell-tale Anglophone title Criss Cross. The main difference between the ripoff and the original is that individual letters don’t have point values in Criss Cross: instead you get five points per vowel and ten per consonant.
Criss Cross does not bear a printing year. I date it at about 1950, because my copy still contains the notebook where my dad and his kid sister recorded their games. A signature of my dad’s in the notebook looks like the handwriting of a <10-year-old, which would place it before 1954.