Step 1: Soil tilth means the physical condition of the soil that decides how easy it is to prepare a seedbed, how well seeds germinate, and how freely roots, water, and air can move through it.
Step 2: This condition depends mainly on how soil particles clump together into aggregates, their size range, and how stable those aggregates are when wetted or disturbed. Aggregate analysis, done by dry and wet sieving to get aggregate size distribution, mean weight diameter, and aggregate stability, measures exactly these structural properties. That is why it is the accepted way to quantify tilth.
Step 3: Chemical analysis tells us about nutrients and pH, not the physical structure. Biological analysis tells us about microbial activity and organic matter turnover, useful for soil health but not a direct tilth measure. Observational analysis is just a visual, subjective impression with no measurable number behind it.
Step 4: So aggregate analysis, option 2, is the most appropriate method.