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?