Transcript Stats Day 98 percent

98% of all statistics
are made up…
AMA Stats Day 2008
Louise Addison
Team Solutions
Statistical literacy in the
new curriculum
Compare and Contrast it

For your curriculum level compare
and contrast the statistical literacy
strands to identify what is:
Only in old
 In both
 Only in new

Looking at progressions




L3 Evaluate the effectiveness of different displays in
representing the findings of a statistical investigation or
probability activity undertaken by others.
L4 Evaluate statements made by others about the
findings of statistical investigations and probability
activities.
L5 Evaluate statistical investigations or probability
activities undertaken by others, including data collection
methods, choice of measures, and validity of findings.
L6 Evaluate statistical reports in the media by relating
the displays, statistics, processes, and probabilities
used to the claims made.
Evaluation
LEVEL
3
4
5
6
What?
E
V
A
L
U
A
T
E
Source?
Criteria?
Evaluation
LEVEL
What?
3
Effectiveness of
different displays
4
5
6
E
V
A
L
U
A
T
E
Statements
Source?
Representing the findings of a
Undertaken
statistical investigation or
by others
probability activity
Made by
others
Statistical
Undertaken
Investigations or
by others
Probability Activities
Statistical Reports
Criteria?
In the
media

Findings
Data collection methods
 Choice of measures
 Validity of findings

Displays
 Statistics
 Processes

Probabilities
 Claims

Exploration 1:
Sources
What are your thoughts…
Compare and contrast
Your thoughts
 Your partner’s thoughts
 Students’ thoughts

Newspaper Article
Parents can predict their children's exam
performance simply by looking at their
hands, according to research.
Psychologists claim that results in English
and maths tests are linked to the length of
fingers. Pupils with longer ring fingers are
said to be more likely to excel in
numeracy while those with shorter ring
fingers tend to be more adept at literacy.
www.dailymail.co.uk/news/article-456994/Length-fingers-pupil-maths-English.html
Press Release
Finger length helps predict SAT exam results, study shows.
The results of numeracy and literacy tests for seven-year-old
children can be predicted by measuring the length of their fingers,
shows new research.
In a study to be published in the British Journal of Psychology,
scientists compared the finger lengths of 75 children with their
Standardised Assessment Test (SAT) scores.
They found a clear link between a child’s performance in
numeracy and literacy tests and the relative lengths of their index
(pointing) and ring fingers.
Scientists believe that the link is caused by different levels of the
hormones testosterone and oestrogen in the womb – and the
effect they have on both brain development and finger length.
Journal Article
A great deal of recent research has focused upon the relationship
between a hypothesized index of prenatal testosterone exposure, digit
ratio and health, social and cognitive functioning. Many inconsistencies
within the pattern of findings have been identified in the relationship
between digit ratio and absolute levels of cognitive ability. Recent
research has identified a relationship between digit ratio and basic
numeric competency. This basic numerical competency has been argued
to be influenced by biological factors. The present study extended this
finding to academic assessment, namely the Standardized Assessment
Tests undertaken in numeracy and literacy by children in the UK at the
age of 7. The present study hypothesized that digit ratio would correlate
with the relative difference between numeracy and literacy abilities. Digit
ratios were calculated for 75 (mainly Caucasian) children aged between
6 and 7 attending a state funded infant school. The digit ratios were then
correlated with the results from their National Standard Assessment
Tests(SATs). A significant correlation was found as hypothesized.
Compare and contrast
Image
 Article
 Press Release


Journal Article
Exploration 2:
Visual statistics
Where is our zoom?
Who am I?

An artistic detour…

Artist: Chris Jordan

www.ted.com

www.chrisjordan.com
QuickTime™ and a
TIFF (Uncompressed) decompressor
are needed to see this picture.
View 2
Depicts one million plastic cups, the number used on
airline flights in the US every six hours.
Hungry Planet

For your photo write
5 “I notice” and
5 “I wonder” statements…
I notice, I wonder
I notice Disagree / Agree - Reason / Explanation
I wonder Statement / Evidence / Explanation
Looking at the data
BHUTAN
AUSTRALIA
Sq. km
19913144
7
3
2967124
7684816
Percent
92
Population
Population De nsity
Total Area
Population in Urban
areas
Human Development
Report In dex
Fertility Rate
Literacy
Income
Health Care
Expenditure
People per sq. mile
People per sq. km
Sq. miles
94.6
Total births per
woman
1.7
Male
Percent
100.0
Femal
e
100.0
Annual per
capita
USD$
20822
28260
1741
PPP
USD$
Annual per
capita
% of
GDP
9.2
Physicians
Per 100 000 people
247
Access to safe water
Percent
100
The Molloy fa mily —Joh n , 43 ,
Natalie, 4 1 , Emil y, 15 (calle d
Em) , and S e an , 5 (we aring
his school uniform ,
includ ing a h at for s u n
protection) —on the backyard
patio by their pool in
Brisbane, o n Australia’s east
coast, with on e we e k’s worth
of food, i n Jan uar y. Cookin g
methods: stov e , microwa ve,
and outdoor BB Q grill. Food
preservation: r e frige rator fre e zer . Fa vorite foods —
John: prawns and chocolate .
Natalie: fres h fruits and
chees e . Emil y: Mexican food
and ho m emad e dips. Sean :
spaghetti Bolog n ese and
lollies.
Access to safe
sanitation
Percent
Caloric Intake
Daily, per capita,
kcal
3054
kcal
1032
% of
total
33.8
Town / City / V illage
Male
77.9
83
n/a
69.7
Femal
e
60.2
Town / City / V illage
Population
Country
Family Members
Adults 18+
Children 3 - 17
Infa nts 0-2
Grains and Other
Starchy Foods
Dairy
Meat, Fish & Eg gs
Fruits, Vegetables &
Nuts
Condiments
Snacks and Desserts
Prepared Foods
Caloric Supply fro m
animal products
Life Expectancy
Under-nourished
Overweight
Obese
Diabetics
Number of
McDonalds
Daily, per
capita
100
Male
Female
Percent, 2001
Percent
Male
Percent
Femal
e
Percent, >20 years
old
6.8
litres
Annual per capita
total
1907
Male
30.7
23.1
Per million people
Annual,
per capita
lbs.
Sugar and Sweetener
Supply
Annual,
per capita
lbs.
Alcohol comsumption
Annual,
per capita
Smoke rs
22.5
726
36.46
207
93.9
106.04
48.1
10.9
10.3
Total
Meat Consumption
Cigarette
consumption
21.2
Percent,
age 18+
kg
kg
qts.
Female
Brisbane
1508161
Australia
4
2
2
0
Sq. km
2185569
121
47
18142
46988
Percent
9
People per sq. mile
People per sq. km
Sq. miles
Population in
Urban areas
Human Development
Report In dex
Fertility Rate
Literacy
Income
Health Care
Expenditure
Physicians
Access to safe
water
53.6
Total births per
woman
5.0
Male
56.2
28.1
695
1300
9
3.9
5
Percent
Annual
per
capita
Annual
per
capita
Female
USD$
PPP
USD$
% of GDP
Per 100 000 people
62
Percent
Access to safe
sanitation
Percent
Caloric Intake
Daily, per capita, kcal
Life Expectancy
Under-nourished
Daily,
per
capita
70
kcal
% of total
Male
Female
n/a
n/a
n/a
60.2
62.4
Percent, 2001
n/a
Male
34.0
44.7
5.3
13.1
Overweight
Percent
Obese
Percent
Female
Male
Female
24.76
Diabetics
Percent, >20 years
old
3.5
19.01
84.31
Number of
McDonalds
Total
Per million people
66.78
Meat
Consumption
Sugar and
Sweetener
Supply
Alco hol
comsumption
23.50
17.67
3.29
Fast Food
Local Curre ncy
Total Area
Caloric Supply fro m
animal products
Malloy Family
Beverages
Miscellaneous
Expenditure
Expenditure
Population
Population
Density
63.94
0.49
303.75
388.22
Aus Dollars
Cigarette
consumption
Smokers
Annual,
per
capita
lbs.
Annual,
per
capita
lbs.
0
0
6.6
3.0
n/a
kg
n/a
Annual,
per
capita
qts.
0.6
0.6
kg
litres
Annual per capita
total
Percent,
age
18+
Male
Female
n/a
n/a
n/a
In Sh in g kh e y, a rem ot e h illside village o f
a doz e n h o m es, Nal im a nd N a mg a y’s
fami ly a s s e mbl e s in t h e pr a yer ro o m of
th eir t h ree - s to ry ram m e d - ear th ho use
wi t h o n e wee k ’s wor t h of f o od for t heir
ex t e n ded fami ly of t hirte e n. Co o kin g
m et ho d : cla y s to ve fueled by w o od fire.
Fo o d pr e serv a tio n : na t ural dry ing .
Fami ly m e m b ers (le ft to ri gh t, s ta nd ing ):
San g a y Ka n du (3 9, h usb a nd o f Sa ng a y),
Sang a y, 35, h old ing Tan di n Wa ng ch u k
(7 m o nt h s ), Sa ng a y Za m ( 1 2, d a u g h t er
of Sang a y Kan d u a n d Sa ng a y), Ch at o
Na mga y (1 4, m o n k, so n of Sang a y
Kan d u a n d Sa ng a y), Ch a to Gel ts hin (1 2,
s o n o f Sa ng a y Ka n d u an d Sa ng a y), (l e ft
to ri gh t, s eat e d): Ze ko m (9, d a u gh ter of
Nal im a nd N a mg a y), Ba ng a m (al s o cal led
Kinl e y, 21, dau gh ter of Nal im a n d
Na mga y), Dr u p C hu (5 6, b ro th er o f
Nal im) , Ch oe d e n (1 6, d a u gh ter of
Sang a y Ka n du a n d Sa ng a y), Na lim (5 3,
fami ly m a triar ch a nd wife of N a mg a y),
Na m ga y (5 7, fa mi ly patria rch a n d
h usb a nd of Nal im ), Ge lt s h in (9, s o n of
Sang a y Ka n du a n d Sa ng a y).
Namgay Family
Town / City /
Village
Village Population
Country
Family Members
Adults 18+
Children 3 - 17
Infants 0-2
Grains and O ther
Starchy Foods
Dairy
Meat, Fish & Eggs
Fruits, Vegetables
& Nuts
Condiments
Snacks and
Desserts
Prepared Foods
Fast Food
Beverages
Miscellaneous
Expenditure
Expenditure
Local Currency
Local Market
Value of
homegrown food
Shingkhey
Village
96
Bhutan
13
6
6
1
0.25
0.08
1.46
1.27
0.76
1.21
5.03
224.93
Ngultrum
29.06
Exploration 3 WHO Stats
Life Expectancy
Life Expectancy at birth (years)
Rational for use
 Definition
 Associate terms
 Data Sources
 Methods of Estimation
 Disaggregation

Life expectancy at birth (years)
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Rationale for use
Life expectancy at birth reflects the overall mortality level of a
population. It summarizes the mortality pattern that prevails
across all age groups - children and adolescents, adults and the
elderly.
Definition
Average number of years that a newborn is expected to live if
current mortality rates continue to apply.
Associated terms
A life table presents a set of tabulations that describe the
probability of dying, the death rate and the number of survivors
for each age or age group. Accordingly, life expectancy at birth
is an output of a life table.
Data sources
Vital registration, census and surveys: Age-specific mortality
rates required to compute life expectancy at birth.


Methods of estimation
WHO has developed a model life table based on about 1800 life
tables from vital registration judged to be of good quality.
For countries with vital registration, the level of completeness of
recorded mortality data in the population is assessed and mortality
rates are adjusted accordingly. Where vital registration data for
2003 were available, these were used directly to construct the life
table. For countries where the information system provided a time
series of annual life tables, parameters from the life table were
projected using a weighted regression model, giving more weight
to recent years. Projected values of the two life table parameters
were then applied to the modified logit life table model, where the
most recent national data provided an age pattern, to predict the
full life table for 2003.In case of inadequate sources of age-specific
mortality rates, the life table is derived from estimated under-5
mortality rates and adult mortality rates that are applied to a global
standard (defined as the average of all the 1800 life tables) using a
modified logit model.
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
Disaggregation
By sex, location (urban/rural, major regions/provinces).
Comments
The lack of complete and reliable mortality data, especially
for low income countries and particularly on mortality
among adults and the elderly, necessitates the application
of modelling (based on data from other populations) to
estimate life expectancy. WHO uses a standard method as
explained above to estimate and project life tables for all
Member States using comparable data. This may lead to
minor differences compared with official life tables
prepared by Member States.
Stating the obvious

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What conclusions would you like students to
draw from the following graphs?
What questions would you like them to ask?
Links

http://www.who.int/whosis/whostat200
7_10highlights.pdf
WHO – WHO Statistical Information
System reports for 2005 - 2008
 http://www.who.int/whosis/en/

Exploration 4 THINKits
Exploration 5 What do the following
quotes and cartoons say
about statistics?
The scholarship student

Which of these relate to statistical
literacy?
KC’s
KC’s
Strands
The end…
Resources / Links:
www.aucksecmaths.wikispaces.com

as of early next week :)
Email:
[email protected]