I'm sorry Glenn, but that is 100% wrong. No "in the wall" dimmers were resistive. They would never have fit. The 1000W stage dimmers had plates over a foot in diameter. They did not work by increasing the dissipated power. As I described above, they were used in SERIES with the load and the added resistance overall, decreased the current flowing and hence (since voltage was constant) the power.
Power = E**2/R. E is constant (120V). Increasing the load resistance changes the power consumed in inverse proportion.
As I stated, the main reason resistive dimmers were problematic, is that you had to size the resistance of the dimmer with the load to get a nice full range of dimming. Often theatres had to add phantom loads if they need to dim a smaller instrument. Resistive boards are real antiques. I restored one at the Utopia theater in Greenbelt, MD. They were quickly replaced in practice with autotransformers which essentially was a continuously tappable transformer which was smaller (albeit not lighter) and simply modulated the voltage which was independent of the load.
Actually the frequency is constant, but they turn on conduction of the semiconductor device at different portions of the waveform depending on the dimmer setting (essentially varying the duty cycle). They still run at 60HZ.
Semiconductor dimmers are more efficient than resistive dimmers, but it's not the case that resistive dimmers consumed as much power while dimmed as they did at full brightness.