Chelsea's Gary Cahill after missing a chance against Manchester United in the Premier League (Reuters)
Chelsea's week to forget sees them slip a place in our European Power Rankings, while Bundesliga side Schalke are the week's biggest climbers.
The Blues' controversial defeat to Manchester United in the Premier League came hot on the heels of a Champions League loss at Shakhtar Donetsk, completing a miserable seven days for Roberto Di Matteo's side.
Their poor results are reflected in our list of Europe's elite clubs, with Chelsea sliding to seventh, below Atletico Madrid, who registered victories in both La Liga and the Europa League.
Otherwise, there is no change in the top nine, although Lionel Messi's exploits for Barcelona helped the Catalan club extend their lead at the summit over Real Madrid who, despite matching Barca's 5-0 domestic scoreline, crashed to defeat in the Champions League.
The week's biggest winners, however, are Schalke. The German side climb a whopping five places to 13th following their wins over Arsenal and Nuremburg.
The result at the Emirates bumps Arsenal down a place to 11th, despite the Gunners' weekend win over QPR.
AC Milan's woes - a Serie A victory over Genoa failing to mask their Champions League defeat to Malaga - are also reflected in the rankings, the Rossoneri falling four places to 19th.
HOW IT WORKS
To determine our Power Rankings, we use the Euro Club Index, which scientifically analyses hundreds of thousands of matches from the top divisions in all European nations as well as Europa League and Champions League games.
The Index takes into account all matches played over an eight-year period but with recent results carrying more weight than older ones.
The performance of a league's teams in the Champions League and Europa League reflects the rise or fall of the sporting level in that league.
So, for example, if English teams perform well in Europe, all Premier League teams receive a small bonus in their ECI score. The ranking and its predictive power are thus made even more accurate.
Power Rankings October 30 2102