2006 Ordinal standings

[BOBSMYTH]

Below are the results from the 2006 Division I World Championships in Madison.

Included are how the groups would have scored and placed if the currently proposed Ordinal scoring system had been in place last year. There were some changes in placement each night (in bold below).

When ties occur, they are listed with a .5 - for example a tie for 15th place would have each corps listed with a 15.5 ordinal placement.

There are a lot of numbers - sorry if it is difficult to read. The format for the listing below:

Corps - actual score & place / ordinal score & place

Quarterfinals:

The Cavaliers - 96.9 1 / 17 1

Blue Devils - 96.525 2 / 21.5 2

Phantom Regiment - 96.025 3 / 23 3

The Cadets - 93.475 4 / 46 4

Bluecoats - 92.975 5 / 48.5 5

Santa Clara Vanguard - 92.375 6 / 56 6

Carolina Crown - 89.675 7 / 80 7

Blue Knights - 89.65 8 / 82 8

Boston Crusaders - 89.325 9 / 89 9

Madison Scouts - 88.25 10 / 100 10

Glassmen - 88.125 11 / 100.5 11

Spirit from JSU - 86.525 12 / 117.5 12

Colts - 84.625 13 / 132 13

Crossmen - 82.675 14 / 148 14

Blue Stars - 82.225 15 / 151 15.5

Capital Regiment - 81.925 16 / 151 15.5

Mandarins - 78.375 17 / 175 17

Southwind - 77.95 18 / 177 18

The Magic - 75.225 20 / 199 19

Cascades - 75.525 19 / 200 20

Pacific Crest - 74.9 21 / 203 21

Esperanza - 72.8 22 / 217 22

Pioneer - 71.55 23 / 226 23

Semifinals:

The Cavaliers - 97.875 1 / 16 1

Phantom Regiment - 96.825 3 / 22 2

Blue Devils - 97 2 / 23.5 3

Bluecoats - 93.5 6 / 50.5 4

The Cadets - 93.625 4 / 51 5.5

Santa Clara Vanguard - 93.55 5 / 51 5.5

Carolina Crown - 90.275 7 / 75 7

Blue Knights - 89.35 8 / 85 8

Boston Crusaders - 88.775 9 / 88 9

Madison Scouts - 87.95 10 / 96 10

Glassmen - 86.275 11 / 108.5 11

Spirit from JSU - 85.275 12 / 116.5 12

Colts - 83.05 13 / 134 13

Blue Stars - 81.525 14 / 147 14

Crossmen - 81.25 15 / 148 15

Capital Regiment - 80.825 16 / 151 16

Mandarins - 77.875 17 / 167 17

Finals:

The Cavaliers - 97.2 1 / 16 1

Phantom Regiment - 96.85 2 / 19 2

Blue Devils - 96.55 3 / 27 3

The Cadets - 93.075 5 / 48 4

Bluecoats - 93.175 4 / 52 5

Santa Clara Vanguard - 92.35 6 / 54 6

Carolina Crown - 89.975 8 / 75 7

Blue Knights - 90.125 7 / 78 8

Madison Scouts - 87.7 9 / 93 9

Boston Crusaders - 87.325 10 / 97 10

Glassmen - 86 11 / 106 11

Spirit from JSU - 84.825 12 / 115 12

[Hrothgar15]

What's an ordinal?

[PageantryVisGuy]

What's an ordinal?

ordinal

adjective

1. of or relating to a taxonomic order; "family and ordinal names of animals and plants"

2. being or denoting a numerical order in a series; "ordinal numbers"; "held an ordinal rank of seventh" [ant: cardinal]

noun

1. the number designating place in an ordered sequence [syn: ordinal number]

WordNet® 2.1, © 2005 Princeton University

:D

Edited January 13, 2007 by PageantryVisGuy

[Hipposduck]

Perhaps you could just explain how the ordinal number is calculated?

[mobrien]

Perhaps you could just explain how the ordinal number is calculated?

Using the ranking of items in a list to assign that number ranking (ie: first position = 1, second = 2, etc, etc), than combining the caption ordinals to come up with a total.

Lowest total ordinal score wins (if you had 7 captions, and someone was first in all 7 captions, than their total ordinal score would be "7" - if they had six caption first places, and a third in one caption, their total ordinal score would be 9, since 1+1+1+1+1+1+3=9

Looking at how it would have laid out this year, the only major changes would be Cadets and Crown moving up a slot, one of which much of the audience would have agreed with, the other, probably not so much. B)

[Hrothgar15]

Looking at how it would have laid out this year, the only major changes would be Cadets and Crown moving up a slot, one of which much of the audience would have agreed with, the other, probably not so much. B)

Yeah. Crown sucked this year. :P

[BOBSMYTH]

Perhaps you could just explain how the ordinal number is calculated?

For the specific 2006 numbers listed above, I used the rules proposal that deals with ordinals. It calls for 10 ordinal scores - so if a corps came in first place in every category, the lowest (perfect) ordinal score they could achieve would be 10. In a 12 corps show, the highest ordinal score a group could get would be 120 by coming in 12th place in all 10 categories.

The proposal uses the current number and type of judges: GE Music & Visual; Visual - Performance, Ensemble & Color Guard; Music - Brass, Ensemble & Percussion. That is 8 judging categories and thus 8 ordinal categories. (Note that the field percussion has a 2 judges - the second being the 9th judge - but they are averaged together into the Percussion category.)

To those 8 categories there is an adjustment so as not to change the current system's relative weighting between categories. In the current system, GE accounts for 40% of the score. So, in order to achieve that same weighting, the proposal has the two GE categories multiplied by 2. These are the extra 2 categories to bring us up to 10 ordinal categories.

On Finals night, The Cavaliers would have gotten an ordinal score of 16. They came in 1st in GE Music (times 2), Visual Performance, Visual Ensemble, Music - Brass and Music - Ensemble. They came in 2nd in GE Visual (times 2) and Color Guard. They came in 4th in Music - Percussion.

You can do a similar calculation for any corps at any show that uses the current scoring system as long as you have a lot of time and either a good calculator or a well designed Excel spreadsheet.

[mjs4484]

With this system, wouldn't it become possible to have a ridiculous number of ties? Like if Corps X got 1st in one caption, 2nd in another, etc and so did two or three other corps in different captions, technically, all performing corps could tie.