Monotonous or plural seasons?

[Schummy]

Some seasons are dominated by one driver and become monotonous in the sense of the winner of every GP is very predictable. Even two dominant drivers (example: Prost-Senna) can be monotonous in this respect.

Other seasons are very entertaining because there are a lot of race winners, making unpredictable the outcome of future races.

So, I have tried to make a sort of "Contenders Index" showing how many race contenders there is regularly in a given season. In fact, I am sorry to say, I have done two Index, brightly named CIX1 and CIX2. A CIX values of 3, for example, would mean there are about 3 regular contenders for race wins. It is the equivalent to have three drivers who wins all the races, in the same proportion.

The minimum value is CIX = 1, and it means the terrible scenario where one driver wins every race. Maximum value is N = number of drivers competing in the season. LOL, this maximum value is just a theoretical possibility!

I have done the calculations for the last decade:

Year	WC	CIX1	CIX2	NW	Wins
2011	VET	2.68m	3.35m	5	11,3,3,1,1
2010	VET	4.16p	4.75	5	5,5,4,3,2
2009	BUT	4.18p	5.10p	6	6,4,2,2,2,1
2008	HAM	4.33p	5.43p	7	6,5,2,2,1,1,1
2007	RAI	3.47	3.88	4	6,4,4,3
2006	ALO	3.00	3.67	5	7,7,2,1,1
2005	ALO	3.11	3.81	5	7,7,3,1,1
2004	SCH	2.22m	2.61m	5	13,2,1,1,1
2003	SCH	5.25p	6.30p	8	6,2,2,2,1,1,1,1
2002	SCH	2.06m	2.60m	4	11,4,1,1

CIX1 = Index based in statistical properties.
CIX2 = Index based in entropy.
NW = Numbers of winners in the season.
Wins = Number of wins of each winner, in the season.

I have added "m" or "p" to some CIXs, "m" means a "monotonous" season and "p" a "plural" season. Those adjectives have been chosen according to CIX values, in a way more or less reasonable:

CIX1 < 3 : monotonous
CIX1 > 4 : plural

CIX2 < 3.5 : monotonous
CIX2 > 5 : plural

Monotonous seasons: 2002, 2004 and 2011 (in this decreasing order)
Plural season: 2003, 2008 and 2009 and perhaps 2010 (decreasing order)

2003 was the season with Williams's Montoya and Ralf getting very good results and having 8 race winners!

2008 was the Hamilton title and 2009 was the Button-Brawn season.

The simple "number of winners in a season" is not enough to characterize a season. For example, 2007 was the season with less winners (4), but those 4 drivers fought equally for race wins, however 2004 and 2011 had 5 race winners but were very monotonous because the dominant driver won a big part of races.

This season is heading in a good direction in this respect. Let's hope we will see a classic drama with many first actors.