Appendix B - Boston CollegeAPPENDIX B: MULTIPLE COMPARISONS OF AVERAGE ACHIEVEMENT IN MATHEMATICS...

16
TIMSS & PIRLS INTERNATIONAL STUDY CENTER, LYNCH SCHOOL OF EDUCATION, BOSTON COLLEGE 379 APPENDIX B: MULTIPLE COMPARISONS OF AVERAGE ACHIEVEMENT IN MATHEMATICS CONTENT AREAS Appendix B Multiple Comparisons of Average Achievement in Mathematics Content Areas

Transcript of Appendix B - Boston CollegeAPPENDIX B: MULTIPLE COMPARISONS OF AVERAGE ACHIEVEMENT IN MATHEMATICS...

Page 1: Appendix B - Boston CollegeAPPENDIX B: MULTIPLE COMPARISONS OF AVERAGE ACHIEVEMENT IN MATHEMATICS CONTENT AREAS TIMSS2003 Grade MATHEMATICS TIMSS & PIRLS INTERNATIONAL STUDY CENTER,

TIMSS & PIRLS INTERNATIONAL STUDY CENTER, LYNCH SCHOOL OF EDUCATION, BOSTON COLLEGE 379

APPENDIX B: MULTIPLE COMPARISONS OF AVERAGE ACHIEVEMENT IN MATHEMATICS CONTENT AREAS

Appendix BMultiple Comparisons of Average Achievement in Mathematics Content Areas

Page 2: Appendix B - Boston CollegeAPPENDIX B: MULTIPLE COMPARISONS OF AVERAGE ACHIEVEMENT IN MATHEMATICS CONTENT AREAS TIMSS2003 Grade MATHEMATICS TIMSS & PIRLS INTERNATIONAL STUDY CENTER,

TIMSS & PIRLS INTERNATIONAL STUDY CENTER, LYNCH SCHOOL OF EDUCATION, BOSTON COLLEGE380

TIMSS2003

Grade88MATHEMATICS

APPENDIX B: MULTIPLE COMPARISONS OF AVERAGE ACHIEVEMENT IN MATHEMATICS CONTENT AREAS

SOU

RCE:

IEA

's T

rend

s in

Inte

rnat

iona

l Mat

hem

atic

s an

d Sc

ienc

e St

udy

(TIM

SS) 2

003

Countries

Singapore h h h h h h h h h h h h h h h h h h h h h h h h h h h h h

Korea, Rep. of I h h h h h h h h h h h h h h h h h h h h h h h h h h

Hong Kong, SAR I h h h h h h h h h h h h h h h h h h h h h h h h h h

Chinese Taipei I h h h h h h h h h h h h h h h h h h h h h h h h h h

Japan I I I I h h h h h h h h h h h h h h h h h h h h h h h h h

Belgium (Flemish) I I I I I h h h h h h h h h h h h h h h h h h h h h h h

Netherlands I I I I I h h h h h h h h h h h h h h h h h h h h h h

Hungary I I I I I I h h h h h h h h h h h h h h h h h h h h

Malaysia I I I I I I I h h h h h h h h h h h h h h h h h h h

Estonia I I I I I I I h h h h h h h h h h h h h h h h h h h

Slovak Republic I I I I I I I I h h h h h h h h h h h h h h h h

United States I I I I I I I I I I h h h h h h h h h h h h h

Latvia I I I I I I I I I I h h h h h h h h h h h h h

Russian Federation I I I I I I I I I I h h h h h h h h h h h

Israel I I I I I I I I I I I h h h h h h h h h h h

Lithuania I I I I I I I I I I I h h h h h h h h h h h

Australia I I I I I I I I I I I h h h h h h h h h h h

Slovenia I I I I I I I I I I I I I h h h h h h h h h h h

Sweden I I I I I I I I I I I I I h h h h h h h h h h

England I I I I I I I I I I I I I I I I I I h h h

Scotland I I I I I I I I I I I I I I I I I I I h h h h

New Zealand I I I I I I I I I I I I I I I I I I I h h h

Italy I I I I I I I I I I I I I I I I I I I h h h

Serbia I I I I I I I I I I I I I I I I I I I h h h

Bulgaria I I I I I I I I I I I I I I I I I I I h h h

Romania I I I I I I I I I I I I I I I I I I I h h

Armenia I I I I I I I I I I I I I I I I I I I I h h h

Cyprus I I I I I I I I I I I I I I I I I I I I I I I I I I I h

Moldova, Rep. of I I I I I I I I I I I I I I I I I I I I I I I I I I

Norway I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Macedonia, Rep. of I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Lebanon I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Indonesia I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Egypt I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Tunisia I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Iran, Islamic Rep. of I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Jordan I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Philippines I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Chile I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Palestinian Nat'l Auth. I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Morocco I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Botswana I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Bahrain I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Saudi Arabia I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Ghana I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

South Africa I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Benchmarking ParticipantsBasque Country, Spain I I I I I I I I I I I I I I I I I h h h h h h h h

Indiana State, US I I I I I I I h h h h h h h h h h h h h h h

Ontario Province, Can. I I I I I I I I h h h h h h h h h h h h h h h h h

Quebec Province, Can. I I I I I h h h h h h h h h h h h h h h h h h h h h h h

Sin

gap

ore

Ko

rea,

Rep

. of

Ho

ng

Ko

ng

, SA

R

Ch

ines

e Ta

ipei

Jap

an

Bel

giu

m (

Flem

ish

)

Net

her

lan

ds

Hu

ng

ary

Mal

aysi

a

Esto

nia

Slo

vak

Rep

ub

lic

Un

ited

Sta

tes

Latv

ia

Ru

ssia

n F

eder

atio

n

Isra

el

Lith

uan

ia

Au

stra

lia

Slo

ven

ia

Swed

en

Eng

lan

d

Sco

tlan

d

New

Zea

lan

d

Ital

y

Serb

ia

Bu

lgar

ia

Ro

man

ia

Arm

enia

Cyp

rus

Mo

ldo

va, R

ep. o

f

No

rway

Instructions: Read across the row for a country to compare performance with the countries listed along the top of the chart. The symbols indicatewhether the average achievement of the country in the row is significantly lower than that of the comparison country, significantly higher thanthat of the comparison country, or if there is no statistically significant difference between the average achievement of the two countries.

Exhibit B.1: Multiple Comparisons of Average Achievement in Number

Note: 5% of these comparisons would be statistically signifi cant by chance alone

Page 3: Appendix B - Boston CollegeAPPENDIX B: MULTIPLE COMPARISONS OF AVERAGE ACHIEVEMENT IN MATHEMATICS CONTENT AREAS TIMSS2003 Grade MATHEMATICS TIMSS & PIRLS INTERNATIONAL STUDY CENTER,

APPENDIX B: MULTIPLE COMPARISONS OF AVERAGE ACHIEVEMENT IN MATHEMATICS CONTENT AREAS TIMSS2003

GradeMATHEMATICS

TIMSS & PIRLS INTERNATIONAL STUDY CENTER, LYNCH SCHOOL OF EDUCATION, BOSTON COLLEGE 381

SOU

RCE:

IEA

's T

rend

s in

Inte

rnat

iona

l Mat

hem

atic

s an

d Sc

ienc

e St

udy

(TIM

SS) 2

003

Countries

h h h h h h h h h h h h h h h h h h h h Singapore

h h h h h h h h h h h h h h h h h h h h Korea, Rep. of

h h h h h h h h h h h h h h h h h h h h Hong Kong, SAR

h h h h h h h h h h h h h h h h h h h h Chinese Taipei

h h h h h h h h h h h h h h h h h h h h Japan

h h h h h h h h h h h h h h h h h h h Belgium (Flemish)

h h h h h h h h h h h h h h h h h h h Netherlands

h h h h h h h h h h h h h h h h h h I Hungary

h h h h h h h h h h h h h h h h h I Malaysia

h h h h h h h h h h h h h h h h h I Estonia

h h h h h h h h h h h h h h h h h I Slovak Republic

h h h h h h h h h h h h h h h h h I United States

h h h h h h h h h h h h h h h h h I Latvia

h h h h h h h h h h h h h h h h h I I Russian Federation

h h h h h h h h h h h h h h h h h I I Israel

h h h h h h h h h h h h h h h h h I I I Lithuania

h h h h h h h h h h h h h h h h I I I Australia

h h h h h h h h h h h h h h h h h I I I Slovenia

h h h h h h h h h h h h h h h h I I I Sweden

h h h h h h h h h h h h h h h h I I I England

h h h h h h h h h h h h h h h h I I I Scotland

h h h h h h h h h h h h h h h h I I I New Zealand

h h h h h h h h h h h h h h h h I I I I Italy

h h h h h h h h h h h h h h h h I I I I Serbia

h h h h h h h h h h h h h h h h I I I I Bulgaria

h h h h h h h h h h h h h h h h I I I I Romania

h h h h h h h h h h h h h h h h I I I I Armenia

h h h h h h h h h h h h h h h h I I I I Cyprus

h h h h h h h h h h h h h h h h I I I I Moldova, Rep. of

h h h h h h h h h h h h h h h h I I I I Norway

h h h h h h h h h h h h h h I I I I Macedonia, Rep. of

h h h h h h h h h h h h h I I I I Lebanon

I h h h h h h h h h I I I I Indonesia

I I h h h h h h h h h I I I I Egypt

I I h h h h h h h h h I I I I Tunisia

I I h h h h h h h h h I I I I Iran, Islamic Rep. of

I I h h h h h h h h h I I I I Jordan

I I I I I I I h h h h h I I I I Philippines

I I I I I I I h h h h I I I I Chile

I I I I I I I h h h I I I I Palestinian Nat'l Auth.

I I I I I I I h h h I I I I Morocco

I I I I I I I I h h h I I I I Botswana

I I I I I I I I I h h h I I I I Bahrain

I I I I I I I I I I I I I h h I I I I Saudi Arabia

I I I I I I I I I I I I I I h I I I I Ghana

I I I I I I I I I I I I I I I I I I I South Africa

h h h h h h h h h h h h h h h h I I I Basque Country, Spain

h h h h h h h h h h h h h h h h h I Indiana State, US

h h h h h h h h h h h h h h h h h I Ontario Province, Can.

h h h h h h h h h h h h h h h h h h h Quebec Province, Can.

Benchmarking Participants

Average achievementsignificantly higher thancomparison country

h

Average achievementsignificantly lower thancomparison country

i

Mac

edo

nia

, Rep

. of

Leb

ano

n

Ind

on

esia

Egyp

t

Tun

isia

Iran

, Isl

amic

Rep

. of

Jord

an

Phili

pp

ines

Ch

ile

Pale

stin

ian

Nat

'l A

uth

.

Mo

rocc

o

Bo

tsw

ana

Bah

rain

Sau

di A

rab

ia

Gh

ana

Sou

th A

fric

a

Bas

qu

e C

ou

ntr

y, S

pai

n

Ind

ian

a St

ate,

US

On

tari

o P

rovi

nce

, Can

.

Qu

ebec

Pro

vin

ce, C

an.

Instructions: Read across the row for a country to compare performance with the countries listed along the top of the chart. The symbols indicatewhether the average achievement of the country in the row is significantly lower than that of the comparison country, significantly higher thanthat of the comparison country, or if there is no statistically significant difference between the average achievement of the two countries.

Exhibit B.1: Multiple Comparisons of Average Achievement in Number 88

Note: 5% of these comparisons would be statistically signifi cant by chance alone

Page 4: Appendix B - Boston CollegeAPPENDIX B: MULTIPLE COMPARISONS OF AVERAGE ACHIEVEMENT IN MATHEMATICS CONTENT AREAS TIMSS2003 Grade MATHEMATICS TIMSS & PIRLS INTERNATIONAL STUDY CENTER,

TIMSS & PIRLS INTERNATIONAL STUDY CENTER, LYNCH SCHOOL OF EDUCATION, BOSTON COLLEGE382

TIMSS2003

Grade88MATHEMATICS

APPENDIX B: MULTIPLE COMPARISONS OF AVERAGE ACHIEVEMENT IN MATHEMATICS CONTENT AREAS

SOU

RCE:

IEA

's T

rend

s in

Inte

rnat

iona

l Mat

hem

atic

s an

d Sc

ienc

e St

udy

(TIM

SS) 2

003

Countries

Korea, Rep. of h h h h h h h h h h h h h h h h h h h h h h h h h h h h

Singapore h h h h h h h h h h h h h h h h h h h h h h h h h h h

Chinese Taipei I h h h h h h h h h h h h h h h h h h h h h h h h h h

Hong Kong, SAR I I h h h h h h h h h h h h h h h h h h h h h h h h h h

Japan I I I I h h h h h h h h h h h h h h h h h h h h h h h h h

Hungary I I I I I h h h h h h h h h h h h h h h h h h h h h h h

Estonia I I I I I h h h h h h h h h h h h h h h h h h h h h h

Belgium (Flemish) I I I I I I h h h h h h h h h h h h h h h h h h h h

Russian Federation I I I I I I I h h h h h h h h h h h h h h h h h h

Netherlands I I I I I I I h h h h h h h h h h h h h h h h h

United States I I I I I I I I h h h h h h h h h h h h h h h h h

Latvia I I I I I I I I h h h h h h h h h h h h h h h

Slovak Republic I I I I I I I I I h h h h h h h h h h h h h h

Lithuania I I I I I I I I I I I h h h h h h h h h h h h

Australia I I I I I I I I I I I h h h h h h h h h

Israel I I I I I I I I I I I I h h h h h h h h h h

Malaysia I I I I I I I I I I I I I h h h h h h h

England I I I I I I I I I I I I I h h h h h

New Zealand I I I I I I I I I I I I I I h h h h

Armenia I I I I I I I I I I I I I I I h h h h h

Scotland I I I I I I I I I I I I I I h h h h

Serbia I I I I I I I I I I I I I I I I h h h h

Slovenia I I I I I I I I I I I I I I I I h h h h

Bulgaria I I I I I I I I I I I I I I I I I h h h

Romania I I I I I I I I I I I I I I I I I h h h

Sweden I I I I I I I I I I I I I I I I I I I h h h

Italy I I I I I I I I I I I I I I I I I I I I I I I h h h

Moldova, Rep. of I I I I I I I I I I I I I I I I I I I I I I I I I I I h h

Cyprus I I I I I I I I I I I I I I I I I I I I I I I I I I I I h

Lebanon I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Macedonia, Rep. of I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Jordan I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Norway I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Indonesia I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Iran, Islamic Rep. of I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Bahrain I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Egypt I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Tunisia I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Morocco I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Philippines I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Palestinian Nat'l Auth. I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Chile I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Botswana I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Saudi Arabia I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Ghana I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

South Africa I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Benchmarking ParticipantsBasque Country, Spain I I I I I I I I I I I I I I h h h h h h

Indiana State, US I I I I I I I I h h h h h h h h h h h h h h h

Ontario Province, Can. I I I I I I I I h h h h h h h h h h h h h h h h h h

Quebec Province, Can. I I I I I h h h h h h h h h h h h h h h h h h h h h h

Ko

rea,

Rep

. of

Sin

gap

ore

Ch

ines

e Ta

ipei

Ho

ng

Ko

ng

, SA

R

Jap

an

Hu

ng

ary

Esto

nia

Bel

giu

m (

Flem

ish

)

Ru

ssia

n F

eder

atio

n

Net

her

lan

ds

Un

ited

Sta

tes

Latv

ia

Slo

vak

Rep

ub

lic

Lith

uan

ia

Au

stra

lia

Isra

el

Mal

aysi

a

Eng

lan

d

New

Zea

lan

d

Arm

enia

Sco

tlan

d

Serb

ia

Slo

ven

ia

Bu

lgar

ia

Ro

man

ia

Swed

en

Ital

y

Mo

ldo

va, R

ep. o

f

Cyp

rus

Leb

ano

n

Instructions: Read across the row for a country to compare performance with the countries listed along the top of the chart. The symbols indicatewhether the average achievement of the country in the row is significantly lower than that of the comparison country, significantly higher thanthat of the comparison country, or if there is no statistically significant difference between the average achievement of the two countries.

Exhibit B.2:

Note: 5% of these comparisons would be statistically signifi cant by chance alone.

Multiple Comparisons of Average Achievement in Algebra

Page 5: Appendix B - Boston CollegeAPPENDIX B: MULTIPLE COMPARISONS OF AVERAGE ACHIEVEMENT IN MATHEMATICS CONTENT AREAS TIMSS2003 Grade MATHEMATICS TIMSS & PIRLS INTERNATIONAL STUDY CENTER,

APPENDIX B: MULTIPLE COMPARISONS OF AVERAGE ACHIEVEMENT IN MATHEMATICS CONTENT AREAS TIMSS2003

GradeMATHEMATICS

TIMSS & PIRLS INTERNATIONAL STUDY CENTER, LYNCH SCHOOL OF EDUCATION, BOSTON COLLEGE 383

SOU

RCE:

IEA

's T

rend

s in

Inte

rnat

iona

l Mat

hem

atic

s an

d Sc

ienc

e St

udy

(TIM

SS) 2

003

Countries

h h h h h h h h h h h h h h h h h h h h Korea, Rep. of

h h h h h h h h h h h h h h h h h h h h Singapore

h h h h h h h h h h h h h h h h h h h h Chinese Taipei

h h h h h h h h h h h h h h h h h h h h Hong Kong, SAR

h h h h h h h h h h h h h h h h h h h h Japan

h h h h h h h h h h h h h h h h h h h Hungary

h h h h h h h h h h h h h h h h h h h Estonia

h h h h h h h h h h h h h h h h h h h Belgium (Flemish)

h h h h h h h h h h h h h h h h h I Russian Federation

h h h h h h h h h h h h h h h h h I Netherlands

h h h h h h h h h h h h h h h h h I United States

h h h h h h h h h h h h h h h h h I Latvia

h h h h h h h h h h h h h h h h h I I Slovak Republic

h h h h h h h h h h h h h h h h h I I Lithuania

h h h h h h h h h h h h h h h h I I Australia

h h h h h h h h h h h h h h h h I I I Israel

h h h h h h h h h h h h h h h h I I I Malaysia

h h h h h h h h h h h h h h h h I I I England

h h h h h h h h h h h h h h h h I I I New Zealand

h h h h h h h h h h h h h h h h I I I Armenia

h h h h h h h h h h h h h h h h I I I Scotland

h h h h h h h h h h h h h h h h I I I Serbia

h h h h h h h h h h h h h h h h I I I Slovenia

h h h h h h h h h h h h h h h h I I I I Bulgaria

h h h h h h h h h h h h h h h h I I I Romania

h h h h h h h h h h h h h h h h I I I I Sweden

h h h h h h h h h h h h h h h h I I I I Italy

h h h h h h h h h h h h h h h h I I I I Moldova, Rep. of

h h h h h h h h h h h h h h h h I I I I Cyprus

h h h h h h h h h h h h h h h I I I I Lebanon

h h h h h h h h h h h h h h I I I I Macedonia, Rep. of

h h h h h h h h h h h h h I I I I Jordan

I h h h h h h h h h h h h I I I I Norway

I I h h h h h h h h h I I I I Indonesia

I I I h h h h h h h I I I I Iran, Islamic Rep. of

I I I h h h h h h h I I I I Bahrain

I I I h h h h h h I I I I Egypt

I I I I h h h h h h I I I I Tunisia

I I I I I I h h h h h I I I I Morocco

I I I I h h h h h I I I I Philippines

I I I I I I I I h h h h I I I I Palestinian Nat'l Auth.

I I I I I I I I I I h h h I I I I Chile

I I I I I I I I I I I h h h I I I I Botswana

I I I I I I I I I I I I I h h I I I I Saudi Arabia

I I I I I I I I I I I I I I I I I I Ghana

I I I I I I I I I I I I I I I I I I South Africa

h h h h h h h h h h h h h h h h I I I Basque Country, Spain

h h h h h h h h h h h h h h h h h I Indiana State, US

h h h h h h h h h h h h h h h h h I Ontario Province, Can.

h h h h h h h h h h h h h h h h h h h Quebec Province, Can.

Benchmarking Participants

Average achievementsignificantly higher thancomparison country

h

Average achievementsignificantly lower thancomparison country

i

Mac

edo

nia

, Rep

. of

Jord

an

No

rway

Ind

on

esia

Iran

, Isl

amic

Rep

. of

Bah

rain

Egyp

t

Tun

isia

Mo

rocc

o

Phili

pp

ines

Pale

stin

ian

Nat

'l A

uth

.

Ch

ile

Bo

tsw

ana

Sau

di A

rab

ia

Gh

ana

Sou

th A

fric

a

Bas

qu

e C

ou

ntr

y, S

pai

n

Ind

ian

a St

ate,

US

On

tari

o P

rovi

nce

, Can

.

Qu

ebec

Pro

vin

ce, C

an.

Instructions: Read across the row for a country to compare performance with the countries listed along the top of the chart. The symbols indicatewhether the average achievement of the country in the row is significantly lower than that of the comparison country, significantly higher thanthat of the comparison country, or if there is no statistically significant difference between the average achievement of the two countries.

Exhibit B.2: 88

Note: 5% of these comparisons would be statistically signifi cant by chance alone.

Multiple Comparisons of Average Achievement in Algebra

Page 6: Appendix B - Boston CollegeAPPENDIX B: MULTIPLE COMPARISONS OF AVERAGE ACHIEVEMENT IN MATHEMATICS CONTENT AREAS TIMSS2003 Grade MATHEMATICS TIMSS & PIRLS INTERNATIONAL STUDY CENTER,

TIMSS & PIRLS INTERNATIONAL STUDY CENTER, LYNCH SCHOOL OF EDUCATION, BOSTON COLLEGE384

TIMSS2003

GradeMATHEMATICS

APPENDIX B: MULTIPLE COMPARISONS OF AVERAGE ACHIEVEMENT IN MATHEMATICS CONTENT AREAS

SOU

RCE:

IEA

's T

rend

s in

Inte

rnat

iona

l Mat

hem

atic

s an

d Sc

ienc

e St

udy

(TIM

SS) 2

003

Countries

Singapore h h h h h h h h h h h h h h h h h h h h h h h h h h h h h

Hong Kong, SAR I h h h h h h h h h h h h h h h h h h h h h h h h h h

Korea, Rep. of I h h h h h h h h h h h h h h h h h h h h h h h h h h

Chinese Taipei I h h h h h h h h h h h h h h h h h h h h h h h h h h

Japan I I I I h h h h h h h h h h h h h h h h h h h h h h h h h

Netherlands I I I I I h h h h h h h h h h h h h h h h h h h h h h h h

Belgium (Flemish) I I I I I I h h h h h h h h h h h h h h h h h h h h h h

Estonia I I I I I I h h h h h h h h h h h h h h h h h h h h h

Hungary I I I I I I I h h h h h h h h h h h h h h h h h h h h h

Sweden I I I I I I I I I h h h h h h h h h h h h h h

Australia I I I I I I I I I h h h h h h h h h h h h

Scotland I I I I I I I I I h h h h h h h h h h h

Slovak Republic I I I I I I I I I h h h h h h h h h h h

Russian Federation I I I I I I I I I h h h h h h h h h h h

England I I I I I I I I I h h h h h h h h h

Malaysia I I I I I I I I I h h h h h h h h h

Latvia I I I I I I I I I I h h h h h h h h

New Zealand I I I I I I I I I I h h h h h h h h

Italy I I I I I I I I I I I h h h h h h h h

Slovenia I I I I I I I I I I I I I I h h h h h h h

United States I I I I I I I I I I I I I I h h h h h h

Lithuania I I I I I I I I I I I I I I I I h h h h h h

Armenia I I I I I I I I I I I I I I I I I I I h h h h

Romania I I I I I I I I I I I I I I I I I I I I h h

Norway I I I I I I I I I I I I I I I I I I I I I I h h

Israel I I I I I I I I I I I I I I I I I I I I I I h h

Serbia I I I I I I I I I I I I I I I I I I I I I I I h

Bulgaria I I I I I I I I I I I I I I I I I I I I I I I h

Moldova, Rep. of I I I I I I I I I I I I I I I I I I I I I I I I I I h

Cyprus I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Macedonia, Rep. of I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Lebanon I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Jordan I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Tunisia I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Chile I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Egypt I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Iran, Islamic Rep. of I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Indonesia I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Bahrain I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Palestinian Nat'l Auth. I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Botswana I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Morocco I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Philippines I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Saudi Arabia I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

South Africa I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Ghana I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Benchmarking ParticipantsBasque Country, Spain I I I I I I I I I I I I I I I I I I I I h h h h h

Indiana State, US I I I I I I I I I h h h h h h h h

Ontario Province, Can. I I I I I I I I h h h h h h h h h h h h h h h h h h h h

Quebec Province, Can. I I I I I h h h h h h h h h h h h h h h h h h h h h h h

Sin

gap

ore

Ho

ng

Ko

ng

, SA

R

Ko

rea,

Rep

. of

Ch

ines

e Ta

ipei

Jap

an

Net

her

lan

ds

Bel

giu

m (

Flem

ish

)

Esto

nia

Hu

ng

ary

Swed

en

Au

stra

lia

Sco

tlan

d

Slo

vak

Rep

ub

lic

Ru

ssia

n F

eder

atio

n

Eng

lan

d

Mal

aysi

a

Latv

ia

New

Zea

lan

d

Ital

y

Slo

ven

ia

Un

ited

Sta

tes

Lith

uan

ia

Arm

enia

Ro

man

ia

No

rway

Isra

el

Serb

ia

Bu

lgar

ia

Mo

ldo

va, R

ep. o

f

Cyp

rus

Instructions: Read across the row for a country to compare performance with the countries listed along the top of the chart. The symbols indicatewhether the average achievement of the country in the row is significantly lower than that of the comparison country, significantly higher thanthat of the comparison country, or if there is no statistically significant difference between the average achievement of the two countries.

88Exhibit B.3: Multiple Comparisons of Average Achievement in Measurement

Note: 5% of these comparisons would be statistically signifi cant by chance alone.

Page 7: Appendix B - Boston CollegeAPPENDIX B: MULTIPLE COMPARISONS OF AVERAGE ACHIEVEMENT IN MATHEMATICS CONTENT AREAS TIMSS2003 Grade MATHEMATICS TIMSS & PIRLS INTERNATIONAL STUDY CENTER,

APPENDIX B: MULTIPLE COMPARISONS OF AVERAGE ACHIEVEMENT IN MATHEMATICS CONTENT AREAS TIMSS2003

GradeMATHEMATICS

TIMSS & PIRLS INTERNATIONAL STUDY CENTER, LYNCH SCHOOL OF EDUCATION, BOSTON COLLEGE 385

SOU

RCE:

IEA

's T

rend

s in

Inte

rnat

iona

l Mat

hem

atic

s an

d Sc

ienc

e St

udy

(TIM

SS) 2

003

Countries

h h h h h h h h h h h h h h h h h h h h Singapore

h h h h h h h h h h h h h h h h h h h h Hong Kong, SAR

h h h h h h h h h h h h h h h h h h h h Korea, Rep. of

h h h h h h h h h h h h h h h h h h h h Chinese Taipei

h h h h h h h h h h h h h h h h h h h h Japan

h h h h h h h h h h h h h h h h h h h Netherlands

h h h h h h h h h h h h h h h h h h h Belgium (Flemish)

h h h h h h h h h h h h h h h h h h h I Estonia

h h h h h h h h h h h h h h h h h h I Hungary

h h h h h h h h h h h h h h h h h I I Sweden

h h h h h h h h h h h h h h h h h I Australia

h h h h h h h h h h h h h h h h h I I Scotland

h h h h h h h h h h h h h h h h h I I Slovak Republic

h h h h h h h h h h h h h h h h h I I Russian Federation

h h h h h h h h h h h h h h h h h I I England

h h h h h h h h h h h h h h h h h I I Malaysia

h h h h h h h h h h h h h h h h h I I Latvia

h h h h h h h h h h h h h h h h h I I New Zealand

h h h h h h h h h h h h h h h h h I I Italy

h h h h h h h h h h h h h h h h h I I Slovenia

h h h h h h h h h h h h h h h h I I United States

h h h h h h h h h h h h h h h h I I Lithuania

h h h h h h h h h h h h h h h h I I I Armenia

h h h h h h h h h h h h h h h h I I I Romania

h h h h h h h h h h h h h h h h I I I I Norway

h h h h h h h h h h h h h h h h I I I Israel

h h h h h h h h h h h h h h h h I I I I Serbia

h h h h h h h h h h h h h h h h I I I I Bulgaria

h h h h h h h h h h h h h h h h I I I I Moldova, Rep. of

h h h h h h h h h h h h h h h h I I I I Cyprus

h h h h h h h h h h h h h h I I I I Macedonia, Rep. of

h h h h h h h h h h h h h h I I I I Lebanon

I I h h h h h h h h h h h h h I I I I Jordan

I I I h h h h h h h h h h I I I I Tunisia

I I I h h h h h h h h I I I I Chile

I I I h h h h h h h h I I I I Egypt

I I I I h h h h h h h h I I I I Iran, Islamic Rep. of

I I I I h h h h h h I I I I Indonesia

I I I I I I I h h h h h h I I I I Bahrain

I I I I I I I h h h h h h I I I I Palestinian Nat'l Auth.

I I I I I I I I I I h h h I I I I Botswana

I I I I I I I I I I h h h I I I I Morocco

I I I I I I I I I I h h h I I I I Philippines

I I I I I I I I I I I I I h h I I I I Saudi Arabia

I I I I I I I I I I I I I I h I I I I South Africa

I I I I I I I I I I I I I I I I I I I Ghana

h h h h h h h h h h h h h h h h I I I Basque Country, Spain

h h h h h h h h h h h h h h h h h I I Indiana State, US

h h h h h h h h h h h h h h h h h h I Ontario Province, Can.

h h h h h h h h h h h h h h h h h h h Quebec Province, Can.

Benchmarking Participants

Average achievementsignificantly higher thancomparison country

h

Average achievementsignificantly lower thancomparison country

i

Mac

edo

nia

, Rep

. of

Leb

ano

n

Jord

an

Tun

isia

Ch

ile

Egyp

t

Iran

, Isl

amic

Rep

. of

Ind

on

esia

Bah

rain

Pale

stin

ian

Nat

'l A

uth

.

Bo

tsw

ana

Mo

rocc

o

Phili

pp

ines

Sau

di A

rab

ia

Sou

th A

fric

a

Gh

ana

Bas

qu

e C

ou

ntr

y, S

pai

n

Ind

ian

a St

ate,

US

On

tari

o P

rovi

nce

, Can

.

Qu

ebec

Pro

vin

ce, C

an.

Instructions: Read across the row for a country to compare performance with the countries listed along the top of the chart. The symbols indicatewhether the average achievement of the country in the row is significantly lower than that of the comparison country, significantly higher thanthat of the comparison country, or if there is no statistically significant difference between the average achievement of the two countries.

Exhibit B.3: 88Multiple Comparisons of Average Achievement in Measurement

Note: 5% of these comparisons would be statistically signifi cant by chance alone.

Page 8: Appendix B - Boston CollegeAPPENDIX B: MULTIPLE COMPARISONS OF AVERAGE ACHIEVEMENT IN MATHEMATICS CONTENT AREAS TIMSS2003 Grade MATHEMATICS TIMSS & PIRLS INTERNATIONAL STUDY CENTER,

TIMSS & PIRLS INTERNATIONAL STUDY CENTER, LYNCH SCHOOL OF EDUCATION, BOSTON COLLEGE386

TIMSS2003

Grade88MATHEMATICS

APPENDIX B: MULTIPLE COMPARISONS OF AVERAGE ACHIEVEMENT IN MATHEMATICS CONTENT AREAS

SOU

RCE:

IEA

's T

rend

s in

Inte

rnat

iona

l Mat

hem

atic

s an

d Sc

ienc

e St

udy

(TIM

SS) 2

003

Countries

Korea, Rep. of h h h h h h h h h h h h h h h h h h h h

Hong Kong, SAR I h h h h h h h h h h h h h h h h h

Chinese Taipei h h h h h h h h h h h h h h h h h

Japan I h h h h h h h h h h h h h h h h h

Singapore I h h h h h h h h h h h h h h h h h

Estonia I I I I I h h h h h h h h h h h h h h h h

Belgium (Flemish) I I I I I I h h h h h h h h h h h h h h h

Hungary I I I I I I I h h h h h h h h h h h

Latvia I I I I I I I h h h h h h h h h h h

Russian Federation I I I I I I I h h h h h h h h h h

Netherlands I I I I I I I h h h h h h h h h h

Lithuania I I I I I I I I I h h h h h h h h h

Slovak Republic I I I I I I I I I I I h h h h h h

Malaysia I I I I I I I I I I I I h h

England I I I I I I I I I I I I h

Australia I I I I I I I I I I I I

Scotland I I I I I I I I I I I I I h

New Zealand I I I I I I I I I I I I I

Israel I I I I I I I I I I I I I

Bulgaria I I I I I I I I I I I I I

Slovenia I I I I I I I I I I I I I I

Armenia I I I I I I I I I I I I I I I I

Romania I I I I I I I I I I I I I I I I I

United States I I I I I I I I I I I I I I I I I I I I I I

Serbia I I I I I I I I I I I I I I I I I I I I I I

Italy I I I I I I I I I I I I I I I I I I I I I I

Sweden I I I I I I I I I I I I I I I I I I I I I I

Moldova, Rep. of I I I I I I I I I I I I I I I I I I I I I I

Norway I I I I I I I I I I I I I I I I I I I I I I

Lebanon I I I I I I I I I I I I I I I I I I I I I I

Cyprus I I I I I I I I I I I I I I I I I I I I I I

Jordan I I I I I I I I I I I I I I I I I I I I I I

Macedonia, Rep. of I I I I I I I I I I I I I I I I I I I I I I

Bahrain I I I I I I I I I I I I I I I I I I I I I I

Iran, Islamic Rep. of I I I I I I I I I I I I I I I I I I I I I I

Tunisia I I I I I I I I I I I I I I I I I I I I I I

Palestinian Nat'l Auth. I I I I I I I I I I I I I I I I I I I I I I

Morocco I I I I I I I I I I I I I I I I I I I I I I

Indonesia I I I I I I I I I I I I I I I I I I I I I I

Egypt I I I I I I I I I I I I I I I I I I I I I I

Saudi Arabia I I I I I I I I I I I I I I I I I I I I I I

Chile I I I I I I I I I I I I I I I I I I I I I I

Philippines I I I I I I I I I I I I I I I I I I I I I I

Botswana I I I I I I I I I I I I I I I I I I I I I I

Ghana I I I I I I I I I I I I I I I I I I I I I I

South Africa I I I I I I I I I I I I I I I I I I I I I I

Benchmarking ParticipantsBasque Country, Spain I I I I I I I I I I I I I I I I I I I I I I

Indiana State, US I I I I I I I I I I I I I I I I I I I I I I

Ontario Province, Can. I I I I I I I h h h h h h h h h h

Quebec Province, Can. I I I I I h h h h h h h h h h h h h h h h

Ko

rea,

Rep

. of

Ho

ng

Ko

ng

, SA

R

Ch

ines

e Ta

ipei

Jap

an

Sin

gap

ore

Esto

nia

Bel

giu

m (

Flem

ish

)

Hu

ng

ary

Latv

ia

Ru

ssia

n F

eder

atio

n

Net

her

lan

ds

Lith

uan

ia

Slo

vak

Rep

ub

lic

Mal

aysi

a

Eng

lan

d

Au

stra

lia

Sco

tlan

d

New

Zea

lan

d

Isra

el

Bu

lgar

ia

Slo

ven

ia

Arm

enia

Instructions: Read across the row for a country to compare performance with the countries listed along the top of twhether the average achievement of the country in the row is significantly lower than that of the comparison counthat of the comparison country, or if there is no statistically significant difference between the average achievemen

Exhibit B.4: Multiple Comparisons of Average Achievement in Geometry

Note: 5% of these comparisons would be statistically signifi cant by chance alone.

Page 9: Appendix B - Boston CollegeAPPENDIX B: MULTIPLE COMPARISONS OF AVERAGE ACHIEVEMENT IN MATHEMATICS CONTENT AREAS TIMSS2003 Grade MATHEMATICS TIMSS & PIRLS INTERNATIONAL STUDY CENTER,

APPENDIX B: MULTIPLE COMPARISONS OF AVERAGE ACHIEVEMENT IN MATHEMATICS CONTENT AREAS TIMSS2003

GradeMATHEMATICS

TIMSS & PIRLS INTERNATIONAL STUDY CENTER, LYNCH SCHOOL OF EDUCATION, BOSTON COLLEGE 387

SOU

RCE:

IEA

's T

rend

s in

Inte

rnat

iona

l Mat

hem

atic

s an

d Sc

ienc

e St

udy

(TIM

SS) 2

003

Countries

h h h h h h h h h h h h h h h h h h h h Korea, Rep. of

h h h h h h h h h h h h h h h h h h h h Hong Kong, SAR

h h h h h h h h h h h h h h h h h h h h Chinese Taipei

h h h h h h h h h h h h h h h h h h h h Japan

h h h h h h h h h h h h h h h h h h h h Singapore

h h h h h h h h h h h h h h h h h h h Estonia

h h h h h h h h h h h h h h h h h h h I Belgium (Flemish)

h h h h h h h h h h h h h h h h h h I Hungary

h h h h h h h h h h h h h h h h h h I Latvia

h h h h h h h h h h h h h h h h h h I Russian Federation

h h h h h h h h h h h h h h h h h h I Netherlands

h h h h h h h h h h h h h h h h h h I Lithuania

h h h h h h h h h h h h h h h h h h I I Slovak Republic

h h h h h h h h h h h h h h h h h h I I Malaysia

h h h h h h h h h h h h h h h h h h I I England

h h h h h h h h h h h h h h h h h h I I Australia

h h h h h h h h h h h h h h h h h h I I Scotland

h h h h h h h h h h h h h h h h h h I I New Zealand

h h h h h h h h h h h h h h h h h h I I Israel

h h h h h h h h h h h h h h h h h h I I Bulgaria

h h h h h h h h h h h h h h h h h h I I Slovenia

h h h h h h h h h h h h h h h h h h I I Armenia

h h h h h h h h h h h h h h h h h I I Romania

h h h h h h h h h h h h h h h h h I I United States

h h h h h h h h h h h h h h h h h I I Serbia

h h h h h h h h h h h h h h h h h I I Italy

h h h h h h h h h h h h h h h h h I I Sweden

h h h h h h h h h h h h h h h I I Moldova, Rep. of

h h h h h h h h h h h h h h h I I Norway

h h h h h h h h h h h h h h h I I Lebanon

h h h h h h h h h h h h h h h I I I Cyprus

I h h h h h h h h h h h I I I Jordan

I h h h h h h h h h h h I I I I Macedonia, Rep. of

I h h h h h h h h h h h I I I I Bahrain

I h h h h h h h h h h h I I I I Iran, Islamic Rep. of

I I I I I h h h h h h h h h I I I I Tunisia

I I I I I h h h h h h h h I I I I Palestinian Nat'l Auth.

I I I I I I I h h h h h h I I I I Morocco

I I I I I I h h h h h h I I I I Indonesia

I I I I I I I h h h h h h I I I I Egypt

I I I I I I I I I I h h h h I I I I Saudi Arabia

I I I I I I I I I I h h h h I I I I Chile

I I I I I I I I I I I I h h I I I I Philippines

I I I I I I I I I I I I h h I I I I Botswana

I I I I I I I I I I I I I I h I I I I Ghana

I I I I I I I I I I I I I I I I I I I South Africa

h h h h h h h h h h h h h h I I I Basque Country, Spain

h h h h h h h h h h h h h h h h h I I Indiana State, US

h h h h h h h h h h h h h h h h h h I Ontario Province, Can.

h h h h h h h h h h h h h h h h h h h Quebec Province, Can.

Benchmarking Participants

Average achievementsignificantly higher thancomparison country

h

Average achievementsignificantly lower thancomparison country

i

Cyp

rus

Jord

an

Mac

edo

nia

, Rep

. of

Bah

rain

Iran

, Isl

amic

Rep

. of

Tun

isia

Pale

stin

ian

Nat

'l A

uth

.

Mo

rocc

o

Ind

on

esia

Egyp

t

Sau

di A

rab

ia

Ch

ile

Phili

pp

ines

Bo

tsw

ana

Gh

ana

Sou

th A

fric

a

Bas

qu

e C

ou

ntr

y, S

pai

n

Ind

ian

a St

ate,

US

On

tari

o P

rovi

nce

, Can

.

Qu

ebec

Pro

vin

ce, C

an.

Instructions: Read across the row for a country to compare performance with the countries listed along the top of the chart. The symbols indicatewhether the average achievement of the country in the row is significantly lower than that of the comparison country, significantly higher thanthat of the comparison country, or if there is no statistically significant difference between the average achievement of the two countries.

Exhibit B.4: 88Multiple Comparisons of Average Achievement in Geometry

Note: 5% of these comparisons would be statistically signifi cant by chance alone.

Page 10: Appendix B - Boston CollegeAPPENDIX B: MULTIPLE COMPARISONS OF AVERAGE ACHIEVEMENT IN MATHEMATICS CONTENT AREAS TIMSS2003 Grade MATHEMATICS TIMSS & PIRLS INTERNATIONAL STUDY CENTER,

TIMSS & PIRLS INTERNATIONAL STUDY CENTER, LYNCH SCHOOL OF EDUCATION, BOSTON COLLEGE388

TIMSS2003

Grade88MATHEMATICS

APPENDIX B: MULTIPLE COMPARISONS OF AVERAGE ACHIEVEMENT IN MATHEMATICS CONTENT AREAS

SOU

RCE:

IEA

's T

rend

s in

Inte

rnat

iona

l Mat

hem

atic

s an

d Sc

ienc

e St

udy

(TIM

SS) 2

003

Countries

Singapore h h h h h h h h h h h h h h h h h h h h h h h h h h h h

Japan h h h h h h h h h h h h h h h h h h h h h h h h h

Korea, Rep. of I h h h h h h h h h h h h h h h h h h h h h h h h h

Chinese Taipei I h h h h h h h h h h h h h h h h h h h h h h h h

Hong Kong, SAR I h h h h h h h h h h h h h h h h h h h h h h h h

Netherlands I I I h h h h h h h h h h h h h h h h h h h h h h h h

Belgium (Flemish) I I I I I I h h h h h h h h h h h h h h h h h h h h h h

Sweden I I I I I I h h h h h h h h h h h h h h h h h h

Estonia I I I I I I I h h h h h h h h h h h h h h h h h

England I I I I I I I h h h h h h h h h h h h h h h

Australia I I I I I I I h h h h h h h h h h h h h h h

Scotland I I I I I I I h h h h h h h h h h h h h h h

United States I I I I I I I I I h h h h h h h h h h h h h h h

New Zealand I I I I I I I I h h h h h h h h h h h h h h h

Hungary I I I I I I I I I h h h h h h h h h h h h h h h

Latvia I I I I I I I I I I I I I I I h h h h h h h h h h h

Malaysia I I I I I I I I I I I I I I I h h h h h h h h h h h

Lithuania I I I I I I I I I I I I I I I h h h h h h h h h h

Norway I I I I I I I I I I I I I I I h h h h h h h h

Slovak Republic I I I I I I I I I I I I I I I I I h h h h h h h

Slovenia I I I I I I I I I I I I I I I I I I h h h h h h h

Israel I I I I I I I I I I I I I I I I I I h h h h h h

Italy I I I I I I I I I I I I I I I I I I I h h h h h h

Russian Federation I I I I I I I I I I I I I I I I I I I I I h h h h h h

Bulgaria I I I I I I I I I I I I I I I I I I I I I I I I h h h

Cyprus I I I I I I I I I I I I I I I I I I I I I I I I h h h

Serbia I I I I I I I I I I I I I I I I I I I I I I I I h h h

Romania I I I I I I I I I I I I I I I I I I I I I I I I I I I h h

Jordan I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Moldova, Rep. of I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Macedonia, Rep. of I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Armenia I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Indonesia I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Bahrain I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Chile I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Iran, Islamic Rep. of I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Lebanon I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Egypt I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Philippines I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Palestinian Nat'l Auth. I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Tunisia I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Botswana I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Morocco I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Saudi Arabia I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

South Africa I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Ghana I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I

Benchmarking ParticipantsBasque Country, Spain I I I I I I I I I I I I I I I h h h h h h h h

Indiana State, US I I I I I I I I h h h h h h h h h h h h h h h

Ontario Province, Can. I I I I I I I h h h h h h h h h h h h h h h h h h

Quebec Province, Can. I I I I I I h h h h h h h h h h h h h h h h h h h h h

Sin

gap

ore

Jap

an

Ko

rea,

Rep

. of

Ch

ines

e Ta

ipei

Ho

ng

Ko

ng

, SA

R

Net

her

lan

ds

Bel

giu

m (

Flem

ish

)

Swed

en

Esto

nia

Eng

lan

d

Au

stra

lia

Sco

tlan

d

Un

ited

Sta

tes

New

Zea

lan

d

Hu

ng

ary

Latv

ia

Mal

aysi

a

Lith

uan

ia

No

rway

Slo

vak

Rep

ub

lic

Slo

ven

ia

Isra

el

Ital

y

Ru

ssia

n F

eder

atio

n

Bu

lgar

ia

Cyp

rus

Serb

ia

Ro

man

ia

Jord

an

Mo

ldo

va, R

ep. o

f

Instructions: Read across the row for a country to compare performance with the countries listed along the top of the chart. The symbols indicatewhether the average achievement of the country in the row is significantly lower than that of the comparison country, significantly higher thanthat of the comparison country, or if there is no statistically significant difference between the average achievement of the two countries.

Exhibit B.5: Multiple Comparisons of Average Achievement in Data

Note: 5% of these comparisons would be statistically signifi cant by chance alone.

Page 11: Appendix B - Boston CollegeAPPENDIX B: MULTIPLE COMPARISONS OF AVERAGE ACHIEVEMENT IN MATHEMATICS CONTENT AREAS TIMSS2003 Grade MATHEMATICS TIMSS & PIRLS INTERNATIONAL STUDY CENTER,

APPENDIX B: MULTIPLE COMPARISONS OF AVERAGE ACHIEVEMENT IN MATHEMATICS CONTENT AREAS TIMSS2003

GradeMATHEMATICS

TIMSS & PIRLS INTERNATIONAL STUDY CENTER, LYNCH SCHOOL OF EDUCATION, BOSTON COLLEGE 389

SOU

RCE:

IEA

's T

rend

s in

Inte

rnat

iona

l Mat

hem

atic

s an

d Sc

ienc

e St

udy

(TIM

SS) 2

003

Countries

h h h h h h h h h h h h h h h h h h h h Singapore

h h h h h h h h h h h h h h h h h h h h Japan

h h h h h h h h h h h h h h h h h h h h Korea, Rep. of

h h h h h h h h h h h h h h h h h h h h Chinese Taipei

h h h h h h h h h h h h h h h h h h h h Hong Kong, SAR

h h h h h h h h h h h h h h h h h h h h Netherlands

h h h h h h h h h h h h h h h h h h h Belgium (Flemish)

h h h h h h h h h h h h h h h h h h Sweden

h h h h h h h h h h h h h h h h h I Estonia

h h h h h h h h h h h h h h h h h England

h h h h h h h h h h h h h h h h h I Australia

h h h h h h h h h h h h h h h h h I Scotland

h h h h h h h h h h h h h h h h h I I United States

h h h h h h h h h h h h h h h h h I I New Zealand

h h h h h h h h h h h h h h h h h I I Hungary

h h h h h h h h h h h h h h h h I I I Latvia

h h h h h h h h h h h h h h h h I I I Malaysia

h h h h h h h h h h h h h h h h I I I Lithuania

h h h h h h h h h h h h h h h h I I I Norway

h h h h h h h h h h h h h h h h I I I Slovak Republic

h h h h h h h h h h h h h h h h I I I Slovenia

h h h h h h h h h h h h h h h h I I I Israel

h h h h h h h h h h h h h h h h I I I I Italy

h h h h h h h h h h h h h h h h I I I I Russian Federation

h h h h h h h h h h h h h h h h I I I I Bulgaria

h h h h h h h h h h h h h h h h I I I I Cyprus

h h h h h h h h h h h h h h h h I I I I Serbia

h h h h h h h h h h h h h h h h I I I I Romania

h h h h h h h h h h h h h h h h I I I I Jordan

h h h h h h h h h h h h h h I I I I Moldova, Rep. of

h h h h h h h h h h h I I I I Macedonia, Rep. of

h h h h h h h h h h h I I I I Armenia

h h h h h h h h h h h I I I I Indonesia

h h h h h h h h h h h I I I I Bahrain

h h h h h h h h h h I I I I Chile

I I I I h h h h h h h h h h I I I I Iran, Islamic Rep. of

I I I I I I h h h h h I I I I Lebanon

I I I I I I h h h h h I I I I Egypt

I I I I I I h h h h h I I I I Philippines

I I I I I I h h h h h I I I I Palestinian Nat'l Auth.

I I I I I I h h h h h I I I I Tunisia

I I I I I I I I I I I h h h I I I I Botswana

I I I I I I I I I I I h h h I I I I Morocco

I I I I I I I I I I I I I h h I I I I Saudi Arabia

I I I I I I I I I I I I I I I I I I South Africa

I I I I I I I I I I I I I I I I I I Ghana

h h h h h h h h h h h h h h h h I I I Basque Country, Spain

h h h h h h h h h h h h h h h h h I Indiana State, US

h h h h h h h h h h h h h h h h h Ontario Province, Can.

h h h h h h h h h h h h h h h h h h Quebec Province, Can.

Benchmarking Participants

Average achievementsignificantly higher thancomparison country

h

Average achievementsignificantly lower thancomparison country

i

Mac

edo

nia

, Rep

. of

Arm

enia

Ind

on

esia

Bah

rain

Ch

ile

Iran

, Isl

amic

Rep

. of

Leb

ano

n

Egyp

t

Phili

pp

ines

Pale

stin

ian

Nat

'l A

uth

.

Tun

isia

Bo

tsw

ana

Mo

rocc

o

Sau

di A

rab

ia

Sou

th A

fric

a

Gh

ana

Bas

qu

e C

ou

ntr

y, S

pai

n

Ind

ian

a St

ate,

US

On

tari

o P

rovi

nce

, Can

.

Qu

ebec

Pro

vin

ce, C

an.

Instructions: Read across the row for a country to compare performance with the countries listed along the top of the chart. The symbols indicatewhether the average achievement of the country in the row is significantly lower than that of the comparison country, significantly higher thanthat of the comparison country, or if there is no statistically significant difference between the average achievement of the two countries.

Exhibit B.5: 88Multiple Comparisons of Average Achievement in Data

Note: 5% of these comparisons would be statistically signifi cant by chance alone.

Page 12: Appendix B - Boston CollegeAPPENDIX B: MULTIPLE COMPARISONS OF AVERAGE ACHIEVEMENT IN MATHEMATICS CONTENT AREAS TIMSS2003 Grade MATHEMATICS TIMSS & PIRLS INTERNATIONAL STUDY CENTER,

TIMSS & PIRLS INTERNATIONAL STUDY CENTER, LYNCH SCHOOL OF EDUCATION, BOSTON COLLEGE390

TIMSS2003

GradeMATHEMATICS

APPENDIX B: MULTIPLE COMPARISONS OF AVERAGE ACHIEVEMENT IN MATHEMATICS CONTENT AREAS

SOU

RCE:

IEA

's T

rend

s in

Inte

rnat

iona

l Mat

hem

atic

s an

d Sc

ienc

e St

udy

(TIM

SS) 2

003

Exhibit B.6:

Countries

Singapore h h h h h h h h h h h h h h h h h h h h h h h h h h h

Hong Kong, SAR I h h h h h h h h h h h h h h h h h h h h h h h h h

Chinese Taipei I h h h h h h h h h h h h h h h h h h h h h h h h h

Japan I I I h h h h h h h h h h h h h h h h h h h h h h h h

Belgium (Flemish) I I I I h h h h h h h h h h h h h h h h h h h h h h h

Netherlands I I I I I h h h h h h h h h h h h h h h h h h

Lithuania I I I I I h h h h h h h h h h h h h h h h h h

Russian Federation I I I I I h h h h h h h h h h h h h h h h h

Latvia I I I I I h h h h h h h h h h h h h h h h h

Hungary I I I I I I I h h h h h h h h h h h h h h h

England I I I I I I I I I h h h h h h h h h h h h I h h

United States I I I I I I I I I h h h h h h h h h h h I h h

Cyprus I I I I I I I I I I h h h h h h h h h h h I h

Moldova, Rep. of I I I I I I I I I I I h h h h h h h h h h I

Italy I I I I I I I I I I I I I h h h h h h h h h h I

Australia I I I I I I I I I I I I I I I h h h h h h I I I

Scotland I I I I I I I I I I I I I I I h h h h h h I I I

New Zealand I I I I I I I I I I I I I I I h h h h h h I I I

Armenia I I I I I I I I I I I I I I I h h h h h h I I I

Slovenia I I I I I I I I I I I I I I I I I I I h h h h h I I I

Norway I I I I I I I I I I I I I I I I I I I I h h h h I I I

Iran, Islamic Rep. of I I I I I I I I I I I I I I I I I I I I I h h h I I I

Philippines I I I I I I I I I I I I I I I I I I I I I I h h I I I

Tunisia I I I I I I I I I I I I I I I I I I I I I I I I I I

Morocco I I I I I I I I I I I I I I I I I I I I I I I I I I

Benchmarking ParticipantsIndiana State, US I I I I I h h h h h h h h h h h h h h h h h

Ontario Province, Can. I I I I I I I I I I I I I h h h h h h h h h h I I

Quebec Province, Can. I I I I I I I I I I I I h h h h h h h h h h I h

Average achievementsignificantly higher thancomparison country

h

Average achievementsignificantly lower thancomparison country

i

Sin

gap

ore

Ho

ng

Ko

ng

, SA

R

Ch

ines

e Ta

ipei

Jap

an

Bel

giu

m (

Flem

ish

)

Net

her

lan

ds

Lith

uan

ia

Ru

ssia

n F

eder

atio

n

Latv

ia

Hu

ng

ary

Eng

lan

d

Un

ited

Sta

tes

Cyp

rus

Mo

ldo

va, R

ep. o

f

Ital

y

Au

stra

lia

Sco

tlan

d

New

Zea

lan

d

Arm

enia

Slo

ven

ia

No

rway

Iran

, Isl

amic

Rep

. of

Phili

pp

ines

Tun

isia

Mo

rocc

o

Ind

ian

a St

ate,

US

On

tari

o P

rovi

nce

, Can

.

Qu

ebec

Pro

vin

ce, C

an.

Instructions: Read across the row for a country to compare performance with the countries listed along the top of the chart. The symbols indicatewhether the average achievement of the country in the row is significantly lower than that of the comparison country, significantly higher thanthat of the comparison country, or if there is no statistically significant difference between the average achievement of the two countries.

44Multiple Comparisons of Average Achievement in Number

Note: 5% of these comparisons would be statistically signifi cant by chance alone.

Page 13: Appendix B - Boston CollegeAPPENDIX B: MULTIPLE COMPARISONS OF AVERAGE ACHIEVEMENT IN MATHEMATICS CONTENT AREAS TIMSS2003 Grade MATHEMATICS TIMSS & PIRLS INTERNATIONAL STUDY CENTER,

APPENDIX B: MULTIPLE COMPARISONS OF AVERAGE ACHIEVEMENT IN MATHEMATICS CONTENT AREAS TIMSS2003

GradeMATHEMATICS 44

TIMSS & PIRLS INTERNATIONAL STUDY CENTER, LYNCH SCHOOL OF EDUCATION, BOSTON COLLEGE 391

SOU

RCE:

IEA

's T

rend

s in

Inte

rnat

iona

l Mat

hem

atic

s an

d Sc

ienc

e St

udy

(TIM

SS) 2

003

Exhibit B.7:

Countries

Singapore h h h h h h h h h h h h h h h h h h h h h h h h h h

Hong Kong, SAR h h h h h h h h h h h h h h h h h h h h h h h h h h

Chinese Taipei I I h h h h h h h h h h h h h h h h h h h h h h h h

Japan I I h h h h h h h h h h h h h h h h h h h h h h h h

Hungary I I I I h h h h h h h h h h h h h h h h h h h h h

Belgium (Flemish) I I I I h h h h h h h h h h h h h h h h h h h h h

Latvia I I I I I I h h h h h h h h h h h h h h

Lithuania I I I I I I h h h h h h h h h h h h h h

Russian Federation I I I I I I h h h h h h h h h h h h h h

Netherlands I I I I I I h h h h h h h h h h h h h h

United States I I I I I I h h h h h h h h h h h I h h

England I I I I I I h h h h h h h h h h h I h h

Moldova, Rep. of I I I I I I h h h h h h h h h h h I h

Cyprus I I I I I I I I I I h h h h h h h h h h h I h

Italy I I I I I I I I I I I I I I h h h h h h I I

Australia I I I I I I I I I I I I I I h h h h h h I I

Scotland I I I I I I I I I I I I I I h h h h h h I I

New Zealand I I I I I I I I I I I I I I h h h h h h I I

Slovenia I I I I I I I I I I I I I I h h h h h h I I I

Armenia I I I I I I I I I I I I I I I I I I I h h h h h I I I

Norway I I I I I I I I I I I I I I I I I I I I h h h h I I I

Iran, Islamic Rep. of I I I I I I I I I I I I I I I I I I I I I h h I I I

Philippines I I I I I I I I I I I I I I I I I I I I I h h I I I

Morocco I I I I I I I I I I I I I I I I I I I I I I I h I I I

Tunisia I I I I I I I I I I I I I I I I I I I I I I I I I I I

Benchmarking ParticipantsIndiana State, US I I I I h h h h h h h h h h h h h h h h h

Ontario Province, Can. I I I I I I I I I I I I h h h h h h h h h h h I h

Quebec Province, Can. I I I I I I I I I I I I I I h h h h h h h I I

Sin

gap

ore

Ho

ng

Ko

ng

, SA

R

Ch

ines

e Ta

ipei

Jap

an

Hu

ng

ary

Bel

giu

m (

Flem

ish

)

Latv

ia

Lith

uan

ia

Ru

ssia

n F

eder

atio

n

Net

her

lan

ds

Un

ited

Sta

tes

Eng

lan

d

Mo

ldo

va, R

ep. o

f

Cyp

rus

Ital

y

Au

stra

lia

Sco

tlan

d

New

Zea

lan

d

Slo

ven

ia

Arm

enia

No

rway

Iran

, Isl

amic

Rep

. of

Phili

pp

ines

Mo

rocc

o

Tun

isia

Ind

ian

a St

ate,

US

On

tari

o P

rovi

nce

, Can

.

Qu

ebec

Pro

vin

ce, C

an.

Average achievementsignificantly higher thancomparison country

h

Average achievementsignificantly lower thancomparison country

i

Instructions: Read across the row for a country to compare performance with the countries listed along the top of the chart. The symbols indicatewhether the average achievement of the country in the row is significantly lower than that of the comparison country, significantly higher thanthat of the comparison country, or if there is no statistically significant difference between the average achievement of the two countries.

Multiple Comparisons of Average Achievement in Patterns and Relationships

Note: 5% of these comparisons would be statistically signifi cant by chance alone.

Page 14: Appendix B - Boston CollegeAPPENDIX B: MULTIPLE COMPARISONS OF AVERAGE ACHIEVEMENT IN MATHEMATICS CONTENT AREAS TIMSS2003 Grade MATHEMATICS TIMSS & PIRLS INTERNATIONAL STUDY CENTER,

TIMSS & PIRLS INTERNATIONAL STUDY CENTER, LYNCH SCHOOL OF EDUCATION, BOSTON COLLEGE392

TIMSS2003

GradeMATHEMATICS

APPENDIX B: MULTIPLE COMPARISONS OF AVERAGE ACHIEVEMENT IN MATHEMATICS CONTENT AREAS

SOU

RCE:

IEA

's T

rend

s in

Inte

rnat

iona

l Mat

hem

atic

s an

d Sc

ienc

e St

udy

(TIM

SS) 2

003

Exhibit B.8: 44

Countries

Japan h h h h h h h h h h h h h h h h h h h h h h h h h

Singapore h h h h h h h h h h h h h h h h h h h h h h h h

Hong Kong, SAR h h h h h h h h h h h h h h h h h h h h h h h h

Chinese Taipei I h h h h h h h h h h h h h h h h h h h h h h h h

Belgium (Flemish) I I I I h h h h h h h h h h h h h h h h h h h h h h

Latvia I I I I h h h h h h h h h h h h h h h h h h h

Netherlands I I I I I h h h h h h h h h h h h h h h h h h h

Lithuania I I I I I h h h h h h h h h h h h h h h h h h

Russian Federation I I I I I h h h h h h h h h h h h h h h h h

England I I I I I I I h h h h h h h h h h h h h h h h h

Hungary I I I I I I I I h h h h h h h h h h h h h h h h h

Australia I I I I I I I I I I I h h h h h h h h h h h

Cyprus I I I I I I I I I I I h h h h h h h I

Moldova, Rep. of I I I I I I I I I I I h h h h h h I

Italy I I I I I I I I I I I h h h h h h I

New Zealand I I I I I I I I I I I I h h h h h h I I

United States I I I I I I I I I I I I h h h h h h I I

Scotland I I I I I I I I I I I I h h h h h h I I

Slovenia I I I I I I I I I I I I I h h h h h h I I

Norway I I I I I I I I I I I I I I I I I I I h h h h h I I I

Armenia I I I I I I I I I I I I I I I I I I I I h h h h I I I

Iran, Islamic Rep. of I I I I I I I I I I I I I I I I I I I I I h h h I I I

Morocco I I I I I I I I I I I I I I I I I I I I I I h I I I

Philippines I I I I I I I I I I I I I I I I I I I I I I h I I I

Tunisia I I I I I I I I I I I I I I I I I I I I I I I I I I I

Benchmarking ParticipantsIndiana State, US I I I I I I I I I I I h h h h h h h h h h h h h h

Ontario Province, Can. I I I I I I I I I I I h h h h h h h h h h

Quebec Province, Can. I I I I I I I I I I I I h h h h h h I

Jap

an

Sin

gap

ore

Ho

ng

Ko

ng

, SA

R

Ch

ines

e Ta

ipei

Bel

giu

m (

Flem

ish

)

Latv

ia

Net

her

lan

ds

Lith

uan

ia

Ru

ssia

n F

eder

atio

n

Eng

lan

d

Hu

ng

ary

Au

stra

lia

Cyp

rus

Mo

ldo

va, R

ep. o

f

Ital

y

New

Zea

lan

d

Un

ited

Sta

tes

Sco

tlan

d

Slo

ven

ia

No

rway

Arm

enia

Iran

, Isl

amic

Rep

. of

Mo

rocc

o

Phili

pp

ines

Tun

isia

Ind

ian

a St

ate,

US

On

tari

o P

rovi

nce

, Can

.

Qu

ebec

Pro

vin

ce, C

an.

Average achievementsignificantly higher thancomparison country

h

Average achievementsignificantly lower thancomparison country

i

Instructions: Read across the row for a country to compare performance with the countries listed along the top of the chart. The symbols indicatewhether the average achievement of the country in the row is significantly lower than that of the comparison country, significantly higher thanthat of the comparison country, or if there is no statistically significant difference between the average achievement of the two countries.

Multiple Comparisons of Average Achievement in Measurement

Note: 5% of these comparisons would be statistically signifi cant by chance alone.

Page 15: Appendix B - Boston CollegeAPPENDIX B: MULTIPLE COMPARISONS OF AVERAGE ACHIEVEMENT IN MATHEMATICS CONTENT AREAS TIMSS2003 Grade MATHEMATICS TIMSS & PIRLS INTERNATIONAL STUDY CENTER,

APPENDIX B: MULTIPLE COMPARISONS OF AVERAGE ACHIEVEMENT IN MATHEMATICS CONTENT AREAS TIMSS2003

GradeMATHEMATICS 44

TIMSS & PIRLS INTERNATIONAL STUDY CENTER, LYNCH SCHOOL OF EDUCATION, BOSTON COLLEGE 393

SOU

RCE:

IEA

's T

rend

s in

Inte

rnat

iona

l Mat

hem

atic

s an

d Sc

ienc

e St

udy

(TIM

SS) 2

003

Exhibit B.9:

Instructions: Read across the row for a country to compare performance with the countries listed along the top of the chart. The symbols indicatewhether the average achievement of the country in the row is significantly lower than that of the comparison country, significantly higher thanthat of the comparison country, or if there is no statistically significant difference between the average achievement of the two countries.

Average achievementsignificantly higher thancomparison country

h

Average achievementsignificantly lower thancomparison country

i

Countries

Singapore h h h h h h h h h h h h h h h h h h h h h h h h h h

Japan h h h h h h h h h h h h h h h h h h h h h h h h

Hong Kong, SAR I h h h h h h h h h h h h h h h h h h h h h h h h

Chinese Taipei I h h h h h h h h h h h h h h h h h h h h h h h h

England I I I I h h h h h h h h h h h h h h h h h h h h h h

Belgium (Flemish) I I I I I h h h h h h h h h h h h h h h h h h h h

Russian Federation I I I I I h h h h h h h h h h h h h

Lithuania I I I I I I h h h h h h h h h h h h h I

Australia I I I I I I h h h h h h h h h h h I

Latvia I I I I I I h h h h h h h h h h h I

Italy I I I I I I h h h h h h h h h h I

Netherlands I I I I I I h h h h h h h h h h I

United States I I I I I I I I h h h h h h h h h h I

New Zealand I I I I I I I I h h h h h h h h h h I

Hungary I I I I I I I I I I h h h h h h h h h I I I

Scotland I I I I I I I I I I I I I I h h h h h h h I I I

Cyprus I I I I I I I I I I I I I I I h h h h h h h I I I

Moldova, Rep. of I I I I I I I I I I I I I I I h h h h h h I I I

Slovenia I I I I I I I I I I I I I I I I I h h h h h h I I I

Norway I I I I I I I I I I I I I I I I I I I h h h h h I I I

Armenia I I I I I I I I I I I I I I I I I I I I h h h h I I I

Iran, Islamic Rep. of I I I I I I I I I I I I I I I I I I I I I h h h I I I

Morocco I I I I I I I I I I I I I I I I I I I I I I h h I I I

Tunisia I I I I I I I I I I I I I I I I I I I I I I I I I I

Philippines I I I I I I I I I I I I I I I I I I I I I I I I I I

Benchmarking ParticipantsIndiana State, US I I I I I I h h h h h h h h h h h

Ontario Province, Can. I I I I h h h h h h h h h h h h h h h h h h h

Quebec Province, Can. I I I I I I h h h h h h h h h h h I

Jap

an

Sin

gap

ore

Ch

ines

e Ta

ipei

Ho

ng

Ko

ng

, SA

R

Net

her

lan

ds

Eng

lan

d

Un

ited

Sta

tes

Bel

giu

m (

Flem

ish

)

Latv

ia

Au

stra

lia

New

Zea

lan

d

Lith

uan

ia

Sco

tlan

d

Hu

ng

ary

Cyp

rus

Ru

ssia

n F

eder

atio

n

Ital

y

Slo

ven

ia

No

rway

Mo

ldo

va, R

ep. o

f

Arm

enia

Phili

pp

ines

Iran

, Isl

amic

Rep

. of

Mo

rocc

o

Tun

isia

Ind

ian

a St

ate,

US

On

tari

o P

rovi

nce

, Can

.

Qu

ebec

Pro

vin

ce, C

an.

Multiple Comparisons of Average Achievement in Geometry

Note: 5% of these comparisons would be statistically signifi cant by chance alone.

Page 16: Appendix B - Boston CollegeAPPENDIX B: MULTIPLE COMPARISONS OF AVERAGE ACHIEVEMENT IN MATHEMATICS CONTENT AREAS TIMSS2003 Grade MATHEMATICS TIMSS & PIRLS INTERNATIONAL STUDY CENTER,

TIMSS & PIRLS INTERNATIONAL STUDY CENTER, LYNCH SCHOOL OF EDUCATION, BOSTON COLLEGE394

TIMSS2003

GradeMATHEMATICS

APPENDIX B: MULTIPLE COMPARISONS OF AVERAGE ACHIEVEMENT IN MATHEMATICS CONTENT AREAS

SOU

RCE:

IEA

's T

rend

s in

Inte

rnat

iona

l Mat

hem

atic

s an

d Sc

ienc

e St

udy

(TIM

SS) 2

003

44Exhibit B.10:

Countries

Japan h h h h h h h h h h h h h h h h h h h h h h h h h h h

Singapore I h h h h h h h h h h h h h h h h h h h h h h h h h h

Chinese Taipei I I h h h h h h h h h h h h h h h h h h h h h h h

Hong Kong, SAR I I h h h h h h h h h h h h h h h h h h h h h h h

Netherlands I I I I h h h h h h h h h h h h h h h h h h h

England I I I I h h h h h h h h h h h h h h h h h h

United States I I I I h h h h h h h h h h h h h h h h h I h

Belgium (Flemish) I I I I h h h h h h h h h h h h h h h h h I h

Latvia I I I I I I I I h h h h h h h h h h h h h h I I h

Australia I I I I I I I I h h h h h h h h h h h h h I I h

New Zealand I I I I I I I I h h h h h h h h h h h h I I h

Lithuania I I I I I I I I I h h h h h h h h h h h I I h

Scotland I I I I I I I I I I h h h h h h h h h h I I h

Hungary I I I I I I I I I I I h h h h h h h h h I I

Cyprus I I I I I I I I I I I I h h h h h h h h h I I

Russian Federation I I I I I I I I I I I I I h h h h h h h h I I

Italy I I I I I I I I I I I I I I I h h h h h h h h I I I

Slovenia I I I I I I I I I I I I I I I I I h h h h h h I I I

Norway I I I I I I I I I I I I I I I I I I h h h h h I I I

Moldova, Rep. of I I I I I I I I I I I I I I I I I h h h h h I I I

Armenia I I I I I I I I I I I I I I I I I I I I h h h h I I I

Philippines I I I I I I I I I I I I I I I I I I I I I h h h I I I

Iran, Islamic Rep. of I I I I I I I I I I I I I I I I I I I I I I h I I I

Morocco I I I I I I I I I I I I I I I I I I I I I I h I I I

Tunisia I I I I I I I I I I I I I I I I I I I I I I I I I I I

Benchmarking ParticipantsIndiana State, US I I h h h h h h h h h h h h h h h h h h h h h

Ontario Province, Can. I I I I I h h h h h h h h h h h h h h h h h I h

Quebec Province, Can. I I I I I I I I I I I I I h h h h h h h h h I I

Instructions: Read across the row for a country to compare performance with the countries listed along the top of the chart. The symbols indicatewhether the average achievement of the country in the row is significantly lower than that of the comparison country, significantly higher thanthat of the comparison country, or if there is no statistically significant difference between the average achievement of the two countries.

Average achievementsignificantly higher thancomparison country

h

Average achievementsignificantly lower thancomparison country

i

Jap

an

Sin

gap

ore

Ch

ines

e Ta

ipei

Ho

ng

Ko

ng

, SA

R

Net

her

lan

ds

Eng

lan

d

Un

ited

Sta

tes

Bel

giu

m (

Flem

ish

)

Latv

ia

Au

stra

lia

New

Zea

lan

d

Lith

uan

ia

Sco

tlan

d

Hu

ng

ary

Cyp

rus

Ru

ssia

n F

eder

atio

n

Ital

y

Slo

ven

ia

No

rway

Mo

ldo

va, R

ep. o

f

Arm

enia

Phili

pp

ines

Iran

, Isl

amic

Rep

. of

Mo

rocc

o

Tun

isia

Ind

ian

a St

ate,

US

On

tari

o P

rovi

nce

, Can

.

Qu

ebec

Pro

vin

ce, C

an.

Multiple Comparisons of Average Achievement in Data

Note: 5% of these comparisons would be statistically signifi cant by chance alone.