1A QUALIFIERS and their Z-SCORES

ALL 1A TEAMS AT SECTIONALS, RANKED BY SCORE

First let’s look at the classic list of all teams that danced at sectionals and how their scores rank. This doesn’t have that much usefulness since we have five different sectionals and four different sets of judges. For better or worse, it seems to be a popular, shorthand way of comparing apples to…I dunno, maybe sushi?

State qualifiers are starred, and the effect is bolder on this PDF:

1A Z Scores 2020
ALL 1A TEAMS RANKED BY SCORE
RankTeamScoreZ Score at THEIR sectionalPlacementSectional
1Morris*94.272.644384077176671Normal C
2Joliet Catholic*93.782.02303399719731Geneva
3Centralia*90.531.603888884985941St Anthony-1
4Jacksonville*89.831.649604079620211St Anthony-2
5Clinton*89.771.640805213543782St Anthony-2
6Burlington Central*89.331.8103794571941DeKalb
7Triad*88.401.354961216301882St Anthony-1
T-8Rochelle*86.801.479449878997252DeKalb
T-8Highland*86.801.167973296163623St Anthony-1
10Evergreen Park*86.131.157128229873222Geneva
11Murphysboro*86.071.082660057600544St Anthony-1
12Providence*85.101.040542224599523Geneva
13Aurora Cntrl Catholic*84.731.208689315018093DeKalb
14Mascoutah*84.630.91437092947615St Anthony-1
15Gardner-SW*84.371.324505551156222Normal C
16IC Catholic*84.101.126283925980954DeKalb
17Unity*83.970.7902481594891343St Anthony-2
18Marion*83.030.7273830093378396St Anthony-1
19St Joseph-O*82.400.5600111638226184St Anthony-2
20St Anthony*81.730.4617571593025125St Anthony-2
21Quincy ND*81.570.4382935164320396St Anthony-2
22Hinckley-BR*81.530.7901222595913625DeKalb
23St Francis*81.100.5877810390705894Geneva
24Villa Grove80.600.2960451815297967St Anthony-2
25Seneca*80.570.8178855108655463Normal C
26Back of the Yards*80.300.4972288019648035Geneva
27Northside CP*79.830.4440293626651536Geneva
28Marquette79.670.1596627573451728St Anthony-2
29Eureka*79.400.6618998668813124Normal C
30Roxana79.100.07607352961911179St Anthony-2
31Elmwood*78.700.568575122617245Normal C
32Dupo78.230.1664192489230537St Anthony-1
33Tinley Park78.000.2368911202856687Geneva
34Fieldcrest*77.700.4352540593828516Normal C
35Somonauk*77.630.2799936607900436DeKalb
36Mattoon77.63-0.13949868925335910St Anthony-2
37Mahomet-S77.13-0.21282257322358711St Anthony-2
38Woodstock76.470.1282631031978567DeKalb
39IMSA76.450.1256470591014398DeKalb
40Ridgewood75.930.05762991259459629DeKalb
41Rich East75.630.1592794584876677Normal C
42Macomb75.43-0.46212377872236312St Anthony-2
43Lisle74.53-0.1558792081606798Geneva
44Lincoln74.40-0.61317097970103313St Anthony-2
45Illini West74.30-0.62783575649507914St Anthony-2
46Boylan73.93-0.20397449704710610DeKalb
47Coal City73.90-0.07136598090782528Normal C
48Payton73.53-0.2690695045429129Geneva
49Guerin73.33-0.28245581993961711DeKalb
50DuQuoin73.17-0.42493004851428St Anthony-1
51Putnam County72.77-0.2220187823626849Normal C
52Woodstock North72.73-0.36093714283212712DeKalb
53Peoria ND72.30-0.28467968208284710Normal C
54Streator71.80-0.35134021370004111Normal C
55Bishop McN71.30-0.41800074531723512Normal C
56Knoxville71.00-0.45799706428755213Normal C
57Nashville70.90-0.6902191602103599St Anthony-1
58Pinckneyville70.63-0.72177337173369110St Anthony-1
59Johnston City69.73-0.82695407681146311St Anthony-1
60Wesclin69.23-0.8853878018546712St Anthony-1
61Sterling69.10-0.83574914633181613DeKalb
62St Laurence68.43-0.84634001609229810Geneva
63Peotone68.03-0.85396062209368614Normal C
64Rich South67.70-0.92896893245132811Geneva
65Nazareth67.67-0.93236464134279512Geneva
66Herrin67.47-1.0910745140067613St Anthony-1
67Carterville66.77-1.1728817290672514St Anthony-1
68Chester66.50-1.2044359405905815St Anthony-1
69St Viator66.10-1.2281557607943714DeKalb
70Marian65.83-1.26347235609615DeKalb
71Maroa-F65.30-1.9476656679591915St Anthony-2
72Kewanee65.10-1.2445913373704415Normal C
73Stark County65.03-1.2539238117968516Normal C
74Trinity64.90-1.3851184065793916DeKalb
75Civic Memorial64.47-2.0693833153497616St Anthony-2
76Johnsburg64.43-1.4465954428451917DeKalb
77Rich Central64.22-1.322871163861513Geneva
78Sherrard63.53-1.4539054066484317Normal C
79Noble/Muchin62.38-1.5311413092048114Geneva

ALL 1A TEAMS AT SECTIONALS, RANKED BY Z-SCORE

Z-scores are the closest we can get to overcoming the fact that there are five sectionals and four sets of judges.

Everyone knows that you can’t really compare scores coming from different sectionals and different judges. One very imperfect way of getting around that is to figure out a team’s z-score for their sectional.  Basically, you take the raw scores that a set of judges handed out at a sectional and think of that set of scores as a snapshot into those judges’ collective mindset. What did they think was average? What kind of score did they give to a dance that just killed it?

The not-fun math involves figuring out the average score and the standard deviation for each sectional. Crunch, crunch, crunch, and out comes a unique z-score for each routine. Again, it takes into account the unique curve of each set of sectionals: how far a dance is from the average of that set, measured in standard deviations. Pretty geeky and definitely like using duct tape to fix that old car in your neighbor’s driveway…

But it helps sort out our apples-to-sushi problem: we can make rough comparisons of dances even though they come from five sectionals and four sets of judges.

Let’s say that team A and team B both got 3rd place and around an 88.20 at different sectionals. But let’s also say that team A has a higher z-score than team B. What does it mean? It’s possible to say that team A impressed the judges more than team B impressed their own judges.

ALL 1A TEAMS RANKED BY THEIR SECTIONAL Z-SCORE
RankTeamZ Score at THEIR sectionalPlacementSectionalScore
1Morris*2.644384077176671Normal C94.27
2Joliet Catholic*2.02303399719731Geneva93.78
3Burlington Central*1.8103794571941DeKalb89.33
4Jacksonville*1.649604079620211St Anthony-289.83
5Clinton*1.640805213543782St Anthony-289.77
6Centralia*1.603888884985941St Anthony-190.53
7Rochelle*1.479449878997252DeKalb86.80
8Triad*1.354961216301882St Anthony-188.40
9Gardner-SW*1.324505551156222Normal C84.37
10Aurora Cntrl Catholic*1.208689315018093DeKalb84.73
11Highland*1.167973296163623St Anthony-186.80
12Evergreen Park*1.157128229873222Geneva86.13
13IC Catholic*1.126283925980954DeKalb84.10
14Murphysboro*1.082660057600544St Anthony-186.07
15Providence*1.040542224599523Geneva85.10
16Mascoutah*0.91437092947615St Anthony-184.63
17Seneca*0.8178855108655463Normal C80.57
18Unity*0.7902481594891343St Anthony-283.97
19Hinckley-BR*0.7901222595913625DeKalb81.53
20Marion*0.7273830093378396St Anthony-183.03
21Eureka*0.6618998668813124Normal C79.40
22St Francis*0.5877810390705894Geneva81.10
23Elmwood*0.568575122617245Normal C78.70
24St Joseph-O*0.5600111638226184St Anthony-282.40
25Back of the Yards*0.4972288019648035Geneva80.30
26St Anthony*0.4617571593025125St Anthony-281.73
27Northside CP*0.4440293626651536Geneva79.83
28Quincy ND*0.4382935164320396St Anthony-281.57
29Fieldcrest*0.4352540593828516Normal C77.70
30Villa Grove0.2960451815297967St Anthony-280.60
31Somonauk*0.2799936607900436DeKalb77.63
32Tinley Park0.2368911202856687Geneva78.00
33Dupo0.1664192489230537St Anthony-178.23
34Marquette0.1596627573451728St Anthony-279.67
35Rich East0.1592794584876677Normal C75.63
36Woodstock0.1282631031978567DeKalb76.47
37IMSA0.1256470591014398DeKalb76.45
38Roxana0.07607352961911179St Anthony-279.10
39Ridgewood0.05762991259459629DeKalb75.93
40Coal City-0.07136598090782528Normal C73.90
41Mattoon-0.13949868925335910St Anthony-277.63
42Lisle-0.1558792081606798Geneva74.53
43Boylan-0.20397449704710610DeKalb73.93
44Mahomet-S-0.21282257322358711St Anthony-277.13
45Putnam County-0.2220187823626849Normal C72.77
46Payton-0.2690695045429129Geneva73.53
47Guerin-0.28245581993961711DeKalb73.33
48Peoria ND-0.28467968208284710Normal C72.30
49Streator-0.35134021370004111Normal C71.80
50Woodstock North-0.36093714283212712DeKalb72.73
51Bishop McN-0.41800074531723512Normal C71.30
52DuQuoin-0.42493004851428St Anthony-173.17
53Knoxville-0.45799706428755213Normal C71.00
54Macomb-0.46212377872236312St Anthony-275.43
55Lincoln-0.61317097970103313St Anthony-274.40
56Illini West-0.62783575649507914St Anthony-274.30
57Nashville-0.6902191602103599St Anthony-170.90
58Pinckneyville-0.72177337173369110St Anthony-170.63
59Johnston City-0.82695407681146311St Anthony-169.73
60Sterling-0.83574914633181613DeKalb69.10
61St Laurence-0.84634001609229810Geneva68.43
62Peotone-0.85396062209368614Normal C68.03
63Wesclin-0.8853878018546712St Anthony-169.23
64Rich South-0.92896893245132811Geneva67.70
65Nazareth-0.93236464134279512Geneva67.67
66Herrin-1.0910745140067613St Anthony-167.47
67Carterville-1.1728817290672514St Anthony-166.77
68Chester-1.2044359405905815St Anthony-166.50
69St Viator-1.2281557607943714DeKalb66.10
70Kewanee-1.2445913373704415Normal C65.10
71Stark County-1.2539238117968516Normal C65.03
72Marian-1.26347235609615DeKalb65.83
73Rich Central-1.322871163861513Geneva64.22
74Trinity-1.3851184065793916DeKalb64.90
75Johnsburg-1.4465954428451917DeKalb64.43
76Sherrard-1.4539054066484317Normal C63.53
77Noble/Muchin-1.5311413092048114Geneva62.38
78Maroa-F-1.9476656679591915St Anthony-265.30
79Civic Memorial-2.0693833153497616St Anthony-264.47

1A QUALIFIERS RANKED BY SCORE

Let’s repeat the process just looking at the qualifiers. First up it’s the classic scores list:

1A QUALIFIERS RANKED BY SCORE
RankTeamScoreZ Score at THEIR sectionalPlacementSectional
1Morris94.272.644384077176671Normal C
2Joliet Catholic93.782.02303399719731Geneva
3Centralia90.531.603888884985941St Anthony-1
4Jacksonville89.831.649604079620211St Anthony-2
5Clinton89.771.640805213543782St Anthony-2
6Burlington Central89.331.8103794571941DeKalb
7Triad88.401.354961216301882St Anthony-1
8Rochelle86.801.479449878997252DeKalb
9Highland86.801.167973296163623St Anthony-1
10Evergreen Park86.131.157128229873222Geneva
11Murphysboro86.071.082660057600544St Anthony-1
12Providence85.101.040542224599523Geneva
13Aurora Cntrl Catholic84.731.208689315018093DeKalb
14Mascoutah84.630.91437092947615St Anthony-1
15Gardner-SW84.371.324505551156222Normal C
16IC Catholic84.101.126283925980954DeKalb
17Unity83.970.7902481594891343St Anthony-2
18Marion83.030.7273830093378396St Anthony-1
19St Joseph-O82.400.5600111638226184St Anthony-2
20St Anthony81.730.4617571593025125St Anthony-2
21Quincy ND81.570.4382935164320396St Anthony-2
22Hinckley-BR81.530.7901222595913625DeKalb
23St Francis81.100.5877810390705894Geneva
24Seneca80.570.8178855108655463Normal C
25Back of the Yards80.300.4972288019648035Geneva
26Northside CP79.830.4440293626651536Geneva
27Eureka79.400.6618998668813124Normal C
28Elmwood78.700.568575122617245Normal C
29Fieldcrest77.700.4352540593828516Normal C
30Somonauk77.630.2799936607900436DeKalb

1A QUALIFIERS RANKED BY Z-SCORE AT THEIR SECTIONAL

And here are your qualifiers ranked by the z-score they got at their own sectional:

1A QUALIFIERS RANKED BY Z-SCORE
RankTeamZ Score at THEIR sectionalPlacementSectionalScore
1Morris2.644384077176671Normal C94.27
2Joliet Catholic2.02303399719731Geneva93.78
3Burlington Central1.8103794571941DeKalb89.33
4Jacksonville1.649604079620211St Anthony-289.83
5Clinton1.640805213543782St Anthony-289.77
6Centralia1.603888884985941St Anthony-190.53
7Rochelle1.479449878997252DeKalb86.80
8Triad1.354961216301882St Anthony-188.40
9Gardner-SW1.324505551156222Normal C84.37
10Aurora Cntrl Catholic1.208689315018093DeKalb84.73
11Highland1.167973296163623St Anthony-186.80
12Evergreen Park1.157128229873222Geneva86.13
13IC Catholic1.126283925980954DeKalb84.10
14Murphysboro1.082660057600544St Anthony-186.07
15Providence1.040542224599523Geneva85.10
16Mascoutah0.91437092947615St Anthony-184.63
17Seneca0.8178855108655463Normal C80.57
18Unity0.7902481594891343St Anthony-283.97
19Hinckley-BR0.7901222595913625DeKalb81.53
20Marion0.7273830093378396St Anthony-183.03
21Eureka0.6618998668813124Normal C79.40
22St Francis0.5877810390705894Geneva81.10
23Elmwood0.568575122617245Normal C78.70
24St Joseph-O0.5600111638226184St Anthony-282.40
25Back of the Yards0.4972288019648035Geneva80.30
26St Anthony0.4617571593025125St Anthony-281.73
27Northside CP0.4440293626651536Geneva79.83
28Quincy ND0.4382935164320396St Anthony-281.57
29Fieldcrest0.4352540593828516Normal C77.70
30Somonauk0.2799936607900436DeKalb77.63

ILLINOIS DANCERS

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