Here are some interesting comparisons between Stanford's performance against Notre Dame and "that school in Los Angeles" -- remember, at the time USC played Stanford -- they had what most media experts thought was the most prolific offense in college football:
OFFENSIVE PERFORMANCE:  NOTRE DAME & USC 
FIRST DOWNS vs. STANFORD: 
- Notre Dame:  19 first downs
- USC:  15 first downs
YARDS RUSHING vs. STANFORD:
- Notre Dame:  150 yards 
- USC:  27 yards 
TOTAL OFFENSE vs. STANFORD:
- Notre Dame:  334 yards
- USC:  280 yards  
DEFENSIVE PERFORMANCE:  NOTRE DAME & USC
TOTAL DEFENSE vs. STANFORD:
- Notre Dame:  272 yards of offense for Stanford
- USC:  417 yards of offense for Stanford