MOSFET amplifier mid-point bias

I have a simple MOSFET amplifier design and want to set Q1 drain to be one-half of VDD0 for mid-point biasing.

It may be achieved by tuning during simulation with a variable resistor in divider R2-R3, but I need to calculate the divider with equations. I know that for midpoint biasing I need R1 voltage drop to be one-half of VDD0. It will determine the I_d current. For that I_d current I need to correctly setup V_gs. For that I need I_d,on, K-value and V_th of that MOSFET transistor. Using it from the datasheet will be very approximately. How can I build the additional schematic to measure Id_on, K and V_th? Or do another solutions exits?

The schematic for measure I_d vs V_gs

Multisim MOSFET model:

Modified amplifier:

MathCad calculations:

Answer

Move the top end of R2 to the drain and calculate the voltage divider to give about the treshold voltage when the voltage at the drain is the wanted. This is not exact, but definitely better than without any feedback. Big enough R2 resistance makes the probably unwanted AC feedback neglible.