Hi James,
The question is, I think, not only for Phenograph users but for anyone who uses clustering algorithms to define "populations" in their data. Therefore, let me put 2 answers forward.
1. You could take a pragmatical (but conceptually non-robust approach) and define a cut off between positive and negative for any parameter (Tbet included), as you would for regular gate-drawing in 2 dimensions. In the past I have used flowDensity::deGate function for this purpose. Then any cluster that has a median Tbet value below the threshold you deem "negative" for Tbet and any cluster with median Tbet above the threshold you deem "positive". The more overclustered your data is, the better this approach will work, but is not very robust, as I mentioned.
2. There is important aspect of your workflow that you're not mentioning, and that is if Tbet parameter was used as an input for the clustering algorithm or not. If yes, the partitioning of the high-dimensional space *could* conceivably result in Tbet+ subsets being recognized on their own. In that instance the above approach will work reasonably well. If not, there's no guarantee that any "Tbet median as a cluster feature" approach will work unless you have a lot of Tbet positive cells. Your Tbet positive cells could be scattered across multiple clusters and unless they happen to heavily correlate with the underlying structure defined by the clustering algorithm, no median or similar measure (apart from max

) will ever pick those up. Even when picked up in this scenario, such a cluster could not be considered Tbet+ since it would be a mixture of Tbet+ and Tbet- negative cells, but could be used as a "signature" of sort, I guess...
It gets complicated to say further something useful as I don't know what exactly are you trying to achieve and how your data looks like, but in general above holds true.
Best,
Vinko