The hosts had taken the lead thanks to a first-half goal from Christian Benteke but a red card for Joe Bennett on 52 minutes let the Canaries back into the game and they eventually grabbed an equaliser on 79 minutes through Michael Turner.
The result left both sides hovering just above the relegation zone but the 37-year-old believes that the performance from Chris Hughton's men suggested that they are the superior outfit.
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"Norwich were totally dominant from start to finish. Obviously the sending-off changed things a little bit for Villa but they were very, very poor.
"I have to say they look like they're in big trouble this season ... they couldn't even keep the ball."
Eadie also observed that Hughton can be seen to be making his mark on the team, having replaced now-Villa boss Paul Lambert at the start of the season.
"Virtually all of those players have come through the lower leagues with Paul Lambert, they see him as their manager," the former Canary noted.
"It's very difficult for them to adjust and take on board the new thoughts and the way the new manager wants to play but they are slowly doing that."