They're not the same for everyone. If you do your dishes in the sink more often, eat your veggies raw more often, open your refrigerator more often, your energy use might be lower than if you started optimizing for transportation costs instead.
Actually, if you do your dishes in the sink, your water consumption will be four to ten times and your energy consumption up to four times higher than in a modern dishwasher, see table 2 on page 9 of http://linusov.info/wp-content/uploads/2007/09/eedal_03_manu...
Actually possibly worse, since shipped foods are engineered to last longer without spoiling, and they go through a lot more quality control than what you pick up at the market, so the ones that spoil quickly often don't even make it to you.