Help includes how to use the online list. Plus other notes, including an explanation of calculations.

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New grades

updated 30.8.2009

Table of Contents

Why are New Grades needed?
How have they been calculated?
What is the effect?

Why are new grades needed?

Grading has been around for about half a century. The idea behind the BCF/ECF system is that a player graded (say) 10 points higher than his opponent would be expected to score 6/10 against that opponent. (Expected percentage score = 50 plus the difference in grades.)

The original lists were quite small, comprising only the strongest players in the country, but within a very few years it was noticed that grades, for no identifiable reason, were gradually slipping. Sir Richard Clarke, who introduced the system, realised that it should be monitored carefully and felt it ought to be corrected if necessary every 4 years. Unfortunately he had not today’s means of analysing data. The number of players has increased enormously since his day, but the basic system has been largely untouched.

One difficulty was that results, even after the overhaul of the system in 1998-1999, were often submitted or stored in a “bundled” form (Player X, Games Y, Points Z) which did not lend itself to detailed analysis. By 2002 the incidence of bundles was much reduced in favour of actual game results (which are now the norm), and by 2005 we had sufficient information to permit analysis over a four-year period. It was then apparent that results did not match the theoretical expectations. Players who outgraded their opponents by 10 points were scoring approximately 58% rather than the expected 60%. The system had become “stretched”.

There may be several separate reasons for grades to inflate, deflate or stretch out, but the main one is very simple: if we don’t play lots of games against opponents who also play lots of games, the list is bound to become gradually stretched. This has been demonstrated by mathematical modelling, but the results cannot easily be summarised in a meaningful way. We are looking at ways of making this information available to those who are interested.

We have now been able to review the system and restore the old standard that a 10 point grade difference gives an expectation of 6/10 and so on. The review has covered much ground. Most grades have changed quite a lot, because the stretching goes back a long way. The effect of the review is the same as would have been achieved by gentle corrections every few years.

Old Grades remain official in 2008-9, with New Grades published only for reference. Starting with the 2009 list, Old Grades will no longer be produced. Old Grades (even 2008) will have no effect on future New Grades.

The process of review will continue so that any future drifting can be corrected.

How have the new grades been calculated?

New Grades were first published in 2008. For the 2009 list the method of calculation has been revised. Calculations have been completely re-done from 2002, with the result that the 2008 grades now listed may not be identical to those shown last year. The major change is to Junior calculations. See ‘Junior Calculations’ at the end of this section.

The intial calculations were on games played from 2002 to 2006. They were not performed season by season, but on the whole four-year period in a single operation.

Standardplay

First it was necessary to establish a pool of sufficiently active players, and to eliminate distorting effects from improving juniors. So all games of players who were juniors in all or part of the period were removed. Players with less than 25 games remaining were then also removed.

The elimination process was repeated till no one had less than 25 games, leaving a core of players who were active enough to give reliable results.

Grades were then calculated iteratively for these players. Using the resulting grades as a starting point, calculations were done for all games in the four-year period to produce 2006 grades for everybody.

Rapidplay

Rapidplay grades were calculated in the same way. The 2006 Rapidplay grades were then adjusted so that, on average, adult players with category C or better at both rates of play had the same grade in both.

2007 and 2008 grades

With the 2006 grades established, Standard and Rapid grades were calculated for 2007 and 2008 in the usual way.

2009 grades

Will simply continue the process, using as their starting point the 2008 New Grades already calculated.

Junior Calculations

Junior Grades become so rapidly out of date that it has been decided to treat juniors, effectively, as new players each year. (See ‘Estimating a starting Grade for an ungraded player’ in the Help page.) A junior’s previous grade is ignored, and his previous-season games will be ignored if he has at least 20 games in the latest season. If he has not, previous-season games are brought forward to bring the total up to a maximum of 20.

This is the current method, as used in the end-August Grading List. The earlier provisional list (11th August) used a maximum of 9 games for grades other than X and A. Using 20 games has made the grades much less volatile. Many junior grades have changed since 11th August, and there will have been some minor effect on a small number of adult grades.

The Grade Categories for juniors have been revised in accordance with the new calculation, as have the junior increments. For both, see the Help page.

What is the effect of changing to new grades?

Standardplay grades around 220 will, on average, remain the same. Below this, grades will go up; and the lower the grade, the more it will go up. Rapidplay grades, on average, will go up more than Standard because they start from a lower base.

On average, changes are as follows:

Standard
Adult New Grade = 0.81 x Old Grade + 43
Junior New Grade = 0.84 x Old Grade + 45

Rapid
Adult New Grade = 0.84 x Old Grade + 44
Junior New Grade = 0.80 x Old Grade + 56

But note that these “formulae” are true on average only, and cannot be applied to individual players. Different players are affected differently.

FIDE Conversion

FIDE = New ECF x 8 + 650

Conversion from other (national) Elo ratings is unchanged:
National Elo = New ECF x 8 + 600

Negative grades

A beneficial side-effect of the switch to New Grades is that it much reduces the number of negative grades (which are actually published as 0).

Negative grades 2009, A – E:

  Old Grades New Grades
Standard 40 2
Rapid 637 99

These are 2009 figures. Old Grades are not published, but have been calculated for purposes of comparison.

Distribution of grades 2009

In these tables, the columns are cumulative. Thus in the first table:

40% of A grades are at least 155; of A and B grades together, 151; of A – C grades, 147 … The bottom row thus represents all published grades.

STANDARDPLAY

All Players:

Cats 10% 20% 30% 40% 50% 60% 70% 80% 90%
A 184 174 164 155 147 138 130 122 108
AB 184 170 160 151 143 134 126 117 104
ABC 180 166 156 147 138 130 122 112 98
ABCD 180 164 154 144 135 127 118 107 93
ABCDE 179 163 153 142 133 124 115 104 87

Adult Only:

Cats 10% 20% 30% 40% 50% 60% 70% 80% 90%
A 188 174 165 156 148 139 130 122 109
AB 185 171 160 152 143 135 127 118 106
ABC 181 167 157 147 139 131 123 114 100
ABCD 181 166 155 145 137 129 120 110 95
ABCDE 181 165 154 144 136 127 118 107 92

RAPIDPLAY

All Players:

Cats 10% 20% 30% 40% 50% 60% 70% 80% 90%
X 170 157 143 133 125 115 101 86 69
XA 172 157 141 129 117 104 92 80 65
XAB 171 154 137 125 112 99 86 72 51
XABC 175 157 142 128 114 100 86 71 49
XABCD 176 157 143 128 115 101 85 67 44
XABCDE 175 155 139 124 110 94 77 57 31

Adult Only:

Cats 10% 20% 30% 40% 50% 60% 70% 80% 90%
X 172 166 157 146 141 133 125 116 112
XA 186 173 167 157 145 134 124 116 102
XAB 187 177 165 156 146 134 127 118 104
XABC 188 176 165 156 146 136 126 116 101
XABCD 188 173 162 152 143 133 123 113 98
XABCDE 188 173 161 151 141 131 121 110 92