Homemade caesar salad only needs a whisk and a few simple ingredients plus this recipe has no raw egg yolks in it so you can feel confident serving it to anyone.
If using a bowl and whisk to blend your dressing, make sure to finely chop or mash your garlic and anchovy fillets so they will blend in smoothly. If you are using a food processor, you won't need to chop them first.
In a food processor, add all the ingredients for the dressing except the olive oil. Process until very smooth--about 45 seconds or so. Scrape down the sides and bottom of the processor if needed.
With the food processor running, slowly add the olive oil until it's all incorporated. If using a bowl, whisk the dressing constantly and quickly while adding the olive oil. Taste to adjust seasoning if needed.
Transfer to an air-tight container or toss with chopped romaine lettuce, croutons and grated parmesan cheese. If storing, your dressing will last about 5 days. Discard any leftovers after that time.