Answer:
The source if data will be from the ancient DNA of the ancestors and the full DNA data of both the tiger and the lion.
Data interpretation
Its by analysing and comparing individually the specific marker of the ancient DNA with the DNA data of both tiger and lion.
If the tiger lineage did evolved faster then there will be CHANGES when the full DNA data of the tiger is analysed for similarities with ancient DNA data INDICATING a faster rate of evolution for the tiger lineage.
Note: these changes maybe due to the living ENVIRONMENTAL conditions and abundance of food and resources
Assuming no ancient DNA data exist for either lineage
Then analysis for comparison won't be easy but difficult to get by.
As today's data would have to be kept for future analysis and comparision in order for it to act as the basis for ancient data