That's right, no checked luggage. And in these days of paying baggage fees with airlines, this is great advice. But women, don't fret. As you see in the pictures, she has a full wardrobe laid out, not just one outfit that has to be washed over and over.
Her tip os to roll everything. Pack shoes and heaviest items on bottom and move up with the lightest items rolled and placed on top.
She also suggests that if you have really nice clothing that needs to be laid out as flat as possible start with those items across the bottom and then leave them hanging out of the suitcase until you get to the top.
So if you have a nice pair of slacks lay them across the bottom and then place all your rolled clothing items on top. Then when you've finished, take the pants that are dangling out of the suitcase and drape them over the top. It appears that this will keep all folds out of the pants.
And thanks to the NYT article, I discovered a cool travel blog I recommend: Heather Poole, the flight attendant whose rolling I recommend above.