Not real-time. NOD is very good in real-time scan - and that's where it beats Kaspersky (since it doesn't scan all compressed files in depth... it'll scan the "outer layer" but it won't scan the individual files in it... however, if and when you execute the compressed file (which can be executables), NOD scans it then)
Kaspersky isn't as accurate and good in it's real-time scans, but it is better when it comes to file scanning (as it can read a greater number of archives/file formats esp. compressed files).
If you ask for my personal opinion, I'm sticking to NOD. Less number of false positives, and it's realtime access scan, is much better than it's file scanner. Kaspersky's file scanner is better than it's realtime scanner.
For me, real-time scanning is more important. A virus that doesn't run can stay safely in my PC... since it's not doing anything! And besides, Kaspersky isn't good when it comes to USB virus removal (my observation; I've noted it a couple of times). NOD is good, even if the definitions are roughly 6 months old.
Again - the questions are:
1) are you looking for an antivirus that detects false-positives? (note that false positives get fixed AFTER a definition database update) Kaspersky is known for false positives (not many, but yes, compared with NOD which is very, very little... never heard from NOD about false positives though).
2) is real time scanning more important to you or is file-scanning (archive types) more important to you? (Kaspersky = more file formats... not related with virus definitions. NOD = good scanning overall, not many file formats supported for file scanning, but compensated during the runtime scan).
3) Can you easily find a crack for the antivirus programs?
After considering Q1 and 2, I've stuck with NOD. I switched to Kaspersky (6 and 7) in between... but Kaspersky started eating my system resources (and then, a lovely Windows format took place since it was time for my annual dusting...).
And updating Kaspersky's definitions (over dialup) is a pain!
Anyone want to ask more?
But keep Q1 and 2 in mind. And I'll repeat it once more: I'm sticking to NOD32 (and it has a fairly decent firewall in it too )