For 99% of woodworking application the strength of the glue really isn't all that relevant. It's like deciding what car to use for a shopping trip based on its top speed, all cars are fast enough for shopping and all glues (pretty much) are strong enough for furniture making.
The more important criteria are things like,
-open time, will you be able to assemble the piece before the glue sets?
-gap filling, are your mortice and tenons a perfect fit or do you need a bit of help?
-reversability, if a restorer ever needs to work on your furniture in the future will they be able to get it apart?
-weather proof, will the glue be used for exterior projects?
-squeeze out, is the glue easy to wipe away or will it mess up your finishing?
I could go on but you get the general idea, all these factors and more have greater importance than simple strength.
PVA is very popular amongst hobbyists because it's convenient to buy and to use. However, it has a lot of disadvantages, it has a very short "open time", so if your job isn't assembled and cramped up within about ten minutes then you're stuffed, PVA has zero gap filling properties, if you make a mistake you can't easily disassemble the piece and try again, and squeeze out smudges are difficult to spot but will make an oil finish look terrible unless every scrap of squeeze out is removed.
Consequently you should also consider two other glues,
A UF glue such as Cascamite, it's a bit of faff to mix up and it needs to stay cramped up for quite a while, but it has good gap filling properties, is supremely weather proof, and gives you loads and loads of open time.
The second glue to consider is a liquid hide glue like this,
http://www.axminster.co.uk/titebond-liq ... ue-ax22595
This is a hugely underrated option IMO and is what I use for most of my day to day furniture making. It has some modest gap filling properties, it doesn't need mixing up, it has much longer open time than PVA (although not as much as UF), removing squeeze out is a breeze, and best of all the application of heat will allow the joint to be taken apart without any damage in a hundred years from now for any required restoration.
Good luck!