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Difference between revisions of "User:The Doctor/Series 71 Predictions"

From Countdown
m (Spearman's Rank Correlation Coefficient between Normal and Percentage of Max)
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===Normal Seedings===
 
===Normal Seedings===
 
{{Seed table}}
 
{{Seed table}}
{{Seed|1 |[[Dan McColm]]          |9|1,051|w}}
+
{{Seed|1 |[[Dan McColm]]          |10|1,174|w}}
 
{{Seed|2 |[[Antoinette Ryan]]    |9|941|w}}
 
{{Seed|2 |[[Antoinette Ryan]]    |9|941|w}}
 
{{Seed|3 |[[Tricia Pay]]          |8|954}}
 
{{Seed|3 |[[Tricia Pay]]          |8|954}}
 
{{Seed|4 |[[Mark Davies]]        |8|922}}
 
{{Seed|4 |[[Mark Davies]]        |8|922}}
{{Seed|5 |[[George Ford]]        |9|922|w}}
+
{{Seed|5 |[[George Ford]]        |9|994}}
 
{{Seed|6 |[[Laurence Killen]]    |9|892|w}}
 
{{Seed|6 |[[Laurence Killen]]    |9|892|w}}
 
{{Seed|7 |[[David Stanford]]      |7|689}}
 
{{Seed|7 |[[David Stanford]]      |7|689}}
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All figures are correct to three decimal places.
 
All figures are correct to three decimal places.
 
{{Seed table}}
 
{{Seed table}}
{{Seed|1 |[[Dan McColm]]          ||116.778|w}}
+
{{Seed|1 |[[Dan McColm]]          ||117.4|w}}
 
{{Seed|3 |[[Tricia Pay]]          |Up 1|106}}
 
{{Seed|3 |[[Tricia Pay]]          |Up 1|106}}
 
{{Seed|2 |[[Antoinette Ryan]]    |Down 1|104.556|w}}
 
{{Seed|2 |[[Antoinette Ryan]]    |Down 1|104.556|w}}
 
{{Seed|4 |[[Mark Davies]]        ||102.444}}
 
{{Seed|4 |[[Mark Davies]]        ||102.444}}
{{Seed|5 |[[George Ford]]        ||102.444|w}}
+
{{Seed|5 |[[George Ford]]        ||99.4}}
 
{{Seed|6 |[[Laurence Killen]]    ||99.111|w}}
 
{{Seed|6 |[[Laurence Killen]]    ||99.111|w}}
 
{{Seed|8 |[[Paul Worsley]]        |Up 1|88.375}}
 
{{Seed|8 |[[Paul Worsley]]        |Up 1|88.375}}
Line 42: Line 42:
 
All figures are correct to three decimal places.
 
All figures are correct to three decimal places.
 
{{Seed table}}
 
{{Seed table}}
{{Seed|1 |[[Dan McColm]]          ||91.710%|w}}
+
{{Seed|1 |[[Dan McColm]]          ||92.441%|w}}
 
{{Seed|3 |[[Tricia Pay]]          |Up 1|83.538%}}
 
{{Seed|3 |[[Tricia Pay]]          |Up 1|83.538%}}
{{Seed|5 |[[George Ford]]        |Up 2|83.063%|w}}
+
{{Seed|5 |[[George Ford]]        |Up 2|80.616%}}
 
{{Seed|4 |[[Mark Davies]]        ||80.035%}}
 
{{Seed|4 |[[Mark Davies]]        ||80.035%}}
 
{{Seed|6 |[[Laurence Killen]]    |Up 1|77.836%|w}}
 
{{Seed|6 |[[Laurence Killen]]    |Up 1|77.836%|w}}
Line 141: Line 141:
 
| 2 = [[Antoinette Ryan]] | q2w = 2   
 
| 2 = [[Antoinette Ryan]] | q2w = 2   
 
}}
 
}}
 
+
====After the semi finals====
 +
{{finals progress
 +
| 1 = [[Dan McColm]] | q1w = 1 | s1w = 1 | fw = 1       
 +
| 8 = [[Paul Worsley]]     
 +
| 5 = [[George Ford]] | q4w = 5       
 +
| 4 = [[Mark Davies]]       
 +
| 3 = [[Tricia Pay]] 
 +
| 6 = [[Laurence Killen]] | q3w = 6 | s2w = 6
 +
| 7 = [[David Stanford]]   
 +
| 2 = [[Antoinette Ryan]] | q2w = 2 
 +
}}
 
===Actuality===
 
===Actuality===
 
{{finals progress
 
{{finals progress
| 1 = [[Dan McColm]] | q1w = 1        
+
| 1 = [[Dan McColm]] | q1w = 1 | s1w = 1       
 
| 8 = [[Paul Worsley]]       
 
| 8 = [[Paul Worsley]]       
 
| 5 = [[George Ford]] | q4w = 5       
 
| 5 = [[George Ford]] | q4w = 5       

Revision as of 18:06, 17 December 2014

They're back! Predictions for Series 71:

Bold players are still in the competition.

Datasets

Normal Seedings

Rank Name Wins Points
1 Dan McColm 10 1,174
2 Antoinette Ryan 9 941
3 Tricia Pay 8 954
4 Mark Davies 8 922
5 George Ford 9 994
6 Laurence Killen 9 892
7 David Stanford 7 689
8 Paul Worsley 6 707

Average Scores

All figures are correct to three decimal places.

Rank Name Wins Points
1 Dan McColm 117.4
3 Tricia Pay Up 1 106
2 Antoinette Ryan Down 1 104.556
4 Mark Davies 102.444
5 George Ford 99.4
6 Laurence Killen 99.111
8 Paul Worsley Up 1 88.375
7 David Stanford Down 1 76.556

Total Prelim Max Available

Paul Worsley only played seven games, his score has been multiplied by (8 ÷ 7), and has been rounded to zero decimal places.

Rank Name Wins Points
2 Antoinette Ryan Up 1 1,093
7 David Stanford Down 5 1,035
4 Mark Davies Up 1 1,030
8 Paul Worsley Up 4 1,030
1 Dan McColm Down 4 1,026
6 Laurence Killen 1,020
3 Tricia Pay Down 4 1,016
5 George Ford Down 3 988

Percentage Of Max Gained

All figures are correct to three decimal places.

Rank Name Wins Points
1 Dan McColm 92.441%
3 Tricia Pay Up 1 83.538%
5 George Ford Up 2 80.616%
4 Mark Davies 80.035%
6 Laurence Killen Up 1 77.836%
2 Antoinette Ryan Down 4 77.512%
8 Paul Worsley Up 1 69.246%
7 David Stanford Down 1 59.602%

Spearman's Rank Correlation Coefficient between Normal and Percentage of Max

Normal Percentage Name d d x d
1 1 Dan McColm 0 0
2 6 Antoinette Ryan 4 16
3 2 Tricia Pay 1 1
4 4 Mark Davies 0 0
5 3 George Ford 2 4
6 5 Laurence Killen 1 1
7 8 David Stanford 1 1
8 7 Paul Worsley 1 1
8 COUNT 1 - ((6 x 24))/(8 x ((8 x 8) - 1))) = 0.714 SUM 24

There is a strong positive correlation between the normal seeds and the seeds adjudged by the percentage of the maximum gained. On a scatter graph with a linear trendline, those below it are, in theory, better than their seed suggests, and vice versa: McColm, Pay, Davies, Ford, and Killen are underrated; Worsley is correctly rated; Ryan and Stanford are overrated.

Predictions

Hypotheses

Before the finals

Dan McColm (1) vs Paul Worsley (8) Dan McColm (1) vs George Ford (5) Dan McColm (1)
vs
Tricia Pay (3)
George Ford (5) vs Mark Davies (4)
Tricia Pay (3) vs Laurence Killen (6) Tricia Pay (3) vs Antoinette Ryan (2)
David Stanford (7) vs Antoinette Ryan (2)
The winner of each game is displayed in bold.

After the quarter finals

Dan McColm (1) vs Paul Worsley (8) Dan McColm (1) vs George Ford (5) Dan McColm (1)
vs
Laurence Killen (6)
George Ford (5) vs Mark Davies (4)
Tricia Pay (3) vs Laurence Killen (6) Laurence Killen (6) vs Antoinette Ryan (2)
David Stanford (7) vs Antoinette Ryan (2)
The winner of each game is displayed in bold.

After the semi finals

Dan McColm (1) vs Paul Worsley (8) Dan McColm (1) vs George Ford (5) Dan McColm (1)
vs
Laurence Killen (6)
George Ford (5) vs Mark Davies (4)
Tricia Pay (3) vs Laurence Killen (6) Laurence Killen (6) vs Antoinette Ryan (2)
David Stanford (7) vs Antoinette Ryan (2)
The winner of each game is displayed in bold.

Actuality

Dan McColm (1) vs Paul Worsley (8) Dan McColm (1) vs George Ford (5)
George Ford (5) vs Mark Davies (4)
Tricia Pay (3) vs Laurence Killen (6) Laurence Killen (6) vs Antoinette Ryan (2)
David Stanford (7) vs Antoinette Ryan (2)
The winner of each game is displayed in bold.