The difference between a Barb Stake and a Clip Stake is the Clip Stake has a clip at the top that actually clips onto and holds your quarter-inch tubing in place and provides a platform to stabilize whatever emission device you use that has a male thread inlet which screws into (or a barb inlet which pushes into) the tubing where it sticks out at the top of the clip on the clip stake.
A locking collar is required (important) when using your tubing on the Clip Stake to mount an emission device. The Locking Collar slides onto the tubing, the tubing is then shoved onto the barb, then the locking collar is pushed tightly over the tubing and barb to hold the tubing in place securely.
The Barb Stake has a male barb at the bottom of the integral top platform which accepts quarter-inch distribution tubing. On the top side of the platform, integral with that barb inlet, is a 10-32 female thread outlet that accepts most male threaded emission devices, mini-sprays, ect that utilize a male thread inlet. Your emission device simply screws into the female thread outlet of the stake assembly and many argue this gives improved stability over the Clip Stake. An adapter can also be installed to convert the female threaded outlet port of the clip stake to a barb set-up.
So, it all really boils down to personal preference. Most emission devices can be used with either set-up, but the barb stake does require a barb converter for use with a barb emission device.
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Also keep in mind these are true 13 inch length professional grade stake assemblies that actually allow you to elevate your emission device to a reasonable height, they are not the 6 inch length variety of stake assembly that is less effective once it's pushed a few inches into the ground. When buying stakes online, be sure you aren't getting a "better price" because the stake is half-size.