AS MATHS (High Grades) for 2007 and 2006 2007 2006 AS Maths185731.6%123435.2%
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Transcript of AS MATHS (High Grades) for 2007 and 2006 2007 2006 AS Maths185731.6%123435.2%
AS MATHS (High Grades) for 2007 and
2006 2007 2006
AS Maths 18 57 31.6% 12 34 35.2
%
AS MATHS (High Grades) for 2007 and
2006 2007 2006
AS Maths 18 57 31.6% 12 34 35.2
%AS
Mechanics
5 9 55.6%
AS Statistic
s13 48 27.1%
AS MATHS (High Grades) for 2007 and 2006
2007 2006
AS Maths 18 57 31.6% 12 34 35.2%
AS Mechanics 5 9 55.6% 6 11 54.5%
AS Statistics 13 48 27.1% 6 23 26.1%
LEICS COUNTY CRICKET2010/11 BATTING
AVERAGES
Runs Outs Batting Average
Runs Outs Batting Average
Jigar Naik
301 9 33.4 545 25 21.8
Tom New
746 23 32.4 412 19 21.7
2010 2011
LEICS COUNTY CRICKET2010/11 BATTING
AVERAGESRuns Outs Batting
AverageRuns Outs Batting
Average
Jigar Naik 301 9 33.4 545 25 21.8
Tom New 746 23 32.4 412 19 21.7
2010 and 2011 combinedRuns Outs Batting
Average
Jigar Naik
846 34 24.9
Tom New
1158 42 27.6
Simpson’s Paradox
a p c r a + c p + r> a n d > bu t <
b q d s b + d q + s
AS Results
Batting Averages
Another Example
1 3 1 1 2 4> a n d bu t <
2 7 5 6 7 13
18 12 5 6 13 6< bu t a n d >
57 34 9 11 48 23
301 746 545 412 846 1158> a n d bu t <
9 23 25 19 34 42
1 2 3 4 5 6 7 8 9 10 11 12 13
1
2
3
4
x
y
2 4
7 13
1 3
2 7
1 1
5 6
1 3 1 1 2 4> a n d bu t <
2 7 5 6 7 13
E.H.Simpson “The interpretation of interaction in
contingency tables” (1951)
Karl Pearson (1899)
“Impossible” by Julian Havil
Alan Crowe – Simpson’s Paradox
You Tube – Simpson’s Paradox
Interesting Fact!
The probability that Simpson’s Paradox
will apply within any 2x2 contingency table
is 1/60.
Which batsman was better?
Did my AS Maths results really improve?