Somebody out there might a schematic on the old tube testers.
The operation of tube testers is often not obvious from the schematic. You'd need to dive into a theory of operation detailed in a book like
Tube Testers and Classic Electronic Gear by Alan Douglas.
Bottom line, most transconductance-type testers apply an a.c. signal to the grid, and use the meter to monitor plate current. The meter is "calibrated" in micromhos (often), which means that is how the scale is marked. The designer ensures that meter deflection due to current corresponds to a given Gm marking on the meter scale.
You could figure the correct probable plate signal with a given grid input based on the tube's characteristics, and apply your own test signal in a real amp.
I plan to use an old amp as a tube tester. ( 12ax7 and octal type ). By varying the voltages at the plate and grids, I'd see how's the tube is reacting and I'd throw away those with ''out of the blue'' specs.
Well, you can get an idea of roughly what idle current an output tube should have with a given bias voltage, right? Or, take a known good, new tube and plug it in the amp. Make a note of the grid bias and the idle current. Plug in your unknown tube. Measure the idle current. Compare to your known good tube.
Preamp tubes should probably result in a bias across a cathode resistor similar to what is printed on the schematic. Or, plug in a known good tube and note the readings as before.
If you want to measure gain of a tube, apply a known test signal to the grid, and note the output on the plate. You need to know something about the stage in question to avoid applying so large an input signal that the output is distorted and gives a false reading of the gain. Divide the plate signal level by the grid signal level to calculate the gain. Gain is, of course, dependent on circuit design, so you oughta know up front what the stage is designed to deliver, or measure a known good tube first to use as a benchmark.
Power tubes could be measured by using a resistive load in place of a speaker. Apply an appropriate input signal to the grids of the output tubes (or maybe the input of the phase inverter, if you can't supply a big enough push-pull signal). Using the anticipated output power of the amp, calculate the RMS voltage that should appear across your resistive load. Measure the actual voltage across your load resistor, while using an o'scope (or your ears) to ensure the output is essentially undistorted (which will give a falsely high output power indication). Compare your reading with expected output power and/or a known good set of output tubes. Many of the old tube books claim power output tubes are best evaluated on the basis of their output power (rather than gain or Gm); which makes sense because you're judging them on the basis of what they're expected to do.
It's not that hard, really...