38 has come up
213 times to end
March 2010 but
20 has only come
up 148 times
See
www.lottery.co.uk/st
atistics/
for data
This reference flowchart is one of a series of three, designed by Stella Dudzic.
The series includes: Hypothesis tests for one sample, Hypothesis tests for two samples, and
Experimental Design and Hypothesis tests for several samples: ANOVA (Analysis of Variance)
The series is also available as a set of three full colour posters in A2 size for wall display.
To view the colour posters and to place an order please visit the MEI website at
www.mei.org.uk
Yo u co uld us
ea
go odness of
fit
test to chec
k if
there is ev
idence
that the lo
tter y
is not fair
Yes
fig 1
Male
Test on
mean/
median
female
right
handed
32
28
left
handed
7
5
Do you
have a
large
sample?
Yes
Do you
know the
variance?
No
Yes
No
Are the data
from a Normal
distribution?
Contingency table
No
fig 2
Are the
data single
variable or
bivariate?
Single
variable
Test on
variance
With a large set of data,
the scatter diagram for a
bivariate Normal distribution
is approximately elliptical
cumulative probability
What
distribution
are the
data from?
Yes
Bivariate
data
observed
D
0.5
0
x
Test statistic for
Kolmogorov-Smirnov test
This reference flowchart is one of a series of three, designed by Stella Dudzic.
The series includes: Hypothesis tests for one sample, Hypothesis tests for two samples, and
Experimental Design and Hypothesis tests for several samples: ANOVA (Analysis of Variance)
The series is also available as a set of three full colour posters in A2 size for wall display.
To view the colour posters and to place an order please visit the MEI website at
www.mei.org.uk
Estimate variance as s²
and use t test
Poisson
Poisson test
Symmetrical Distribution
Other
For Normal population
Wilcoxon single
sample test
Sign test
test for variance
Binomial test or Normal approximation
Goo dness
of fit test
test or Kolmogorov-Smirnov (see fig 3)
Are the
variables
categories
or numbers?
EXPECTED
Normal test
No
Categories in a contingency table (see fig 1)
0.75
0.25
Do you
know the
variance?
Estimate variance as s²
and use Normal test
Test of
proportion
fig 3
1
Normal test
Number pairs
Are the data
fro m a bivariate
Nor mal distribution?
(see fig 2)
test
Yes
No
Pearson’s product
moment correlation test
Spearman’s rank
correlation test or Kendall’s
rank correlation test