The way to attribute 1798 large cents:
1. Determine 1st/2nd hairstyle with the diagnostic I gave above.
2. Determine Large or Small 8
3. Determine if it is an 8/7 overdate (would have style 1 hair)
4. Determine style 1 or 2 lettering based on the vertical serif of the base of the E (big for style 2, small for style 1)
5. Determine reverse of 1795 or 1797 (one leaf at top right vs two leaves at top right)
6. Narrow down variety based on position of Liberty (position of letters relative to the top hair curls), position of date (numerals relative to denticles and the bust), die cracks and fatigue, and various diagnostics on the reverse.
Attributing any large cent has the same systematic approach. It saves a lot of headache. If you want to have an easier time attributing pre-1816 large cents and all
Half Cents, I recommend the
Red Book on early coppers. It takes you through this systematic approach for every date.