American Mathematics Competition. ACM Scores of 1998: Cumulative Distribution by Gender (n= 107,894 USA 8th Graders)

American Mathematics Competition

ACM Scores of 1998: Cumulative Distribution by Gender

(n= 107,894 USA 8th Graders)

SCORE

242220181614121086420

Cum

ulat

ive

Perc

ent

120

100

80

60

40

20

0

GENDER

F

M

ACM Scores of 1999: Cumulative Distribution by Gender

(n= 107,441 USA 8th Graders)

SCORE

242220181614121086420

Cum

ulat

ive

Perc

ent

120

100

80

60

40

20

0

GENDER

F

M

ACM Scores of 2000: Cumulative Distribution by Gender

(n= 102,073 USA 8th Graders)

SCORE

242220181614121086420

Cum

ulat

ive

Perc

ent

120

100

80

60

40

20

0

GENDER

F

M

ACM Scores of 2001: Cumulative Distribution by Gender

(n= 85,900 USA 8th Graders)

SCORE

242220181614121086420

Cum

ulat

ive

Perc

ent

120

100

80

60

40

20

0

GENDER

F

M

ACM 1998 Item Difficulty IndexItem # Item Difficulty* Item # Item Difficulty* Item # Item Difficulty*

2 .90 16 .58 21 .19

8 .86 12 .50 23 .18

4 .77 11 .45 19 .17

9 .77 17 .44 25 .14

7 .76 18 .40 24 .12

3 .70 10 .38

15 .67 13 .38

6 .64 14 .24

1 .59 22 .24

5 .59 20 .19

Note. * Percentage responding correctly to item.

ACM 1999 Item Difficulty IndexItem # Item Difficulty* Item # Item Difficulty* Item # Item Difficulty*

4 .93 17 .47 15 .25

6 .88 20 .44 7 .22

1 .83 19 .41 24 .22

3 .73 5 .39 25 .20

8 .69 11 .37 23 .19

9 .58 22 .35

10 .52 18 .32

12 .50 13 .31

16 .50 14 .30

2 .49 21 .27

Note. * Percentage responding correctly to item.

ACM 2000 Item Difficulty IndexItem # Item Difficulty* Item # Item Difficulty* Item # Item Difficulty*

1 .94 7 .33 24 .18

4 .93 23 .30 25 .17

8 .83 20 .28 5 .16

6 .56 9 .25 19 .14

2 .53 10 .25 21 .08

18 .48 11 .24

16 .41 17 .24

3 .40 14 .22

15 .40 12 .20

13 .39 22 .18

Note. * Percentage responding correctly to item.

ACM 2001 Item Difficulty IndexItem # Item Difficulty* Item # Item Difficulty* Item # Item Difficulty*

3 .91 23 .43 19 .21

2 .89 14 .40 24 .21

1 .85 6 .38 16 .15

5 .63 10 .37 18 .15

15 .60 12 .34 9 .13

4 .51 17 .34

11 .50 20 .29

22 .50 13 .28

7 .45 21 .24

8 .43 25 .23

Note. * Percentage responding correctly to item.

Gender Impact on Item Difficulty Index (1998)

Item #

Item Difficulty*

Item #

Item Difficulty*

Item #

Item Difficulty*

M F d** M F d** M F d**

5 .63 .55 .08 8 .88 .84 .04 12 .50 .49 .01

9 .80 .73 .07 11 .47 .43 .04 24 .13 .11 .01

15 .70 .63 .07 20 .21 .17 .04 4 .77 .77 .00

16 .62 .55 .07 21 .21 .17 .04 2 .90 .91 -.01

17 .47 .40 .07 18 .42 .39 .03 3 .70 .71 -.01

10 .41 .35 .06 6 .65 .63 .02

1 .62 .57 .05 7 .77 .75 .02

13 .40 .36 .05 22 .24 .23 .02

14 .26 .21 .05 23 .19 .17 .02

19 .19 .14 .05 25 .15 .13 .02

Note. * Percentage responding correctly to item. ** Percent difference between male (M) and female (F) students responding correctly.

Percent Responding Correctly to Item 5 by Quintile and by Gender (1998)

QUINTILE

5.004.003.002.001.00

PERC

ENT

1.0

.8

.6

.4

.2

0.0

GENDER

F

M

Percent Responding Correctly to Item 9 by Quintile and by Gender (1998)

QUINTILE

5.004.003.002.001.00

PERC

ENT

1.1

1.0

.9

.8

.7

.6

.5

.4

.3

GENDER

F

M

Percent Responding Correctly to Item 15 by Quintile and by Gender (1998)

QUINTILE

5.004.003.002.001.00

PERC

ENT

1.0

.8

.6

.4

.2

GENDER

F

M

Gender Impact on Item Difficulty Index 1999

Item #

Item Difficulty*

Item #

Item Difficulty*

Item #

Item Difficulty*

M F d** M F d** M F d**

5 .44 .34 .10 15 .27 .23 .04 19 .42 .41 .01

14 .34 .26 .09 4 .95 .92 .03 1 .84 .83 .00

2 .52 .46 .07 8 .71 .67 .03 3 .73 .73 -.01

13 .35 .28 .06 11 .38 .36 .03 6 .87 .88 -.01

16 .53 .47 .06 21 .28 .25 .03 12 .49 .50 -.01

22 .39 .32 .06 23 .20 .17 .03

10 .55 .50 .05 18 .33 .31 .02

20 .47 .41 .05 24 .23 .21 .02

7 .25 .20 .04 25 .21 .19 .02

9 .60 .56 .04 17 .48 .47 .01

Note. * Percentage responding correctly to item. ** Percent difference between male (M) and female (F) students responding correctly.

Percent Responding Correctly to Item 5 by Quintile and by Gender (1999)

QUINTILE

5.004.003.002.001.00

PERC

ENT

1.0

.8

.6

.4

.2

0.0

GENDER

F

M

Percent Responding Correctly to Item 14 by Quintile and by Gender (1999)

QUINTILE

5.004.003.002.001.00

PERC

ENT

.8

.7

.6

.5

.4

.3

.2

.1

0.0

GENDER

F

M

Percent Responding Correctly to Item 2 by Quintile and by Gender (1999)

QUINTILE

5.004.003.002.001.00

PERC

ENT

.9

.8

.7

.6

.5

.4

.3

.2

.1

GENDER

F

M

Gender Impact on Item Difficulty Index 2000

Item #

Item Difficulty*

Item #

Item Difficulty*

Item #

Item Difficulty*

M F d** M F d** M F d**

10 .30 .20 .10 14 .24 .20 .04 19 .14 .13 .01

7 .37 .28 .09 21 .10 .06 .04 24 .19 .18 .01

15 .45 .36 .09 3 .41 .38 .03 1 .94 .95 .00

16 .45 .38 .08 9 .26 .24 .03 4 .93 .93 .00

6 .60 .53 .07 17 .25 .23 .03 23 .29 .32 -.02

12 .24 .17 .07 11 .25 .23 .02

5 .19 .13 .06 22 .19 .17 .02

20 .31 .25 .06 25 .18 .16 .02

2 .55 .51 .04 8 .83 .82 .01

13 .41 .37 .04 18 .48 .48 .01

Note. * Percentage responding correctly to item. ** Percent difference between male (M) and female (F) students responding correctly.

Percent Responding Correctly to Item 10 by Quintile and by Gender (2000)

QUINTILE

5.004.003.002.001.00

PERC

ENT

.8

.7

.6

.5

.4

.3

.2

.1

0.0

GENDER

F

M

Percent Responding Correctly to Item 7 by Quintile and by Gender (2000)

QUINTILE

5.004.003.002.001.00

PERC

ENT

.8

.6

.4

.2

0.0

GENDER

F

M

Percent Responding Correctly to Item 15 by Quintile and by Gender (2000)

QUINTILE

5.004.003.002.001.00

PERC

ENT

1.0

.8

.6

.4

.2

0.0

GENDER

F

M

Gender Impact on Item Difficulty Index 2001

Item #

Item Difficulty*

Item #

Item Difficulty*

Item #

Item Difficulty*

M F d** M F d** M F d**

17 .40 .27 .13 1 .87 .83 .04 18 .16 .14 .02

22 .57 .44 .13 9 .15 .12 .04 20 .30 .28 .02

15 .65 .54 .12 21 .26 .22 .04 2 .89 .89 .00

5 .68 .59 .10 3 .92 .89 .03 23 .43 .44 -.01

19 .26 .16 .10 4 .52 .49 .03 6 .37 .40 -.02

10 .41 .33 .09 11 .52 .49 .03

8 .47 .39 .07 16 .17 .14 .03

13 .32 .24 .07 24 .23 .20 .03

12 .36 .31 .05 7 .46 .44 .02

25 .25 .20 .05 14 .41 .39 .02

Note. * Percentage responding correctly to item. ** Percent difference between male (M) and female (F) students responding correctly.

Percent Responding Correctly to Item 17 by Quintile and by Gender (2001)

QUINTILE

5.004.003.002.001.00

Perc

ent

.8

.6

.4

.2

0.0

GENDER

F

M

Percent Responding Correctly to Item 22 by Quintile and by Gender (2001)

QUINTILE

5.004.003.002.001.00

PERC

ENT

.9

.8

.7

.6

.5

.4

.3

.2

GENDER

F

M

Percent Responding Correctly to Item 15 by Quintile and by Gender (2001)

QUINTILE

5.004.003.002.001.00

PERC

ENT

1.0

.8

.6

.4

.2

GENDER

F

M

Item Discrimination Index 1998Item # Item

Discrimination*Item # Item

Discrimination*Item # Item

Discrimination*

5 69.0 9 54.3 23 22.7

16 67.4 7 51.0 22 21.6

10 66.7 3 50.9 2 21.5

12 64.1 18 44.6 24 19.9

15 64.0 14 43.7 25 19.4

11 61.8 8 39.2

17 61.7 4 38.1

1 60.5 20 36.3

13 60.5 19 28.7

6 59.4 21 23.8Note. * Percent difference between top and bottom quintiles responding correctly.

Percent Responding Correctly to Item 5 by Quintile and by Gender (1998)

QUINTILE

5.004.003.002.001.00

Perc

ent

1.0

.8

.6

.4

.2

0.0

GENDER

F

M

Percent Responding Correctly to Item 16 by Quintile and by Gender (1998)

QUINTILE

5.004.003.002.001.00

Perc

ent

1.0

.8

.6

.4

.2

0.0

GENDER

F

M

Percent Responding Correctly to Item 10 by Quintile and by Gender (1998)

QUINTILE

5.004.003.002.001.00

Perc

ent

1.0

.8

.6

.4

.2

0.0

GENDER

F

M

Item Discrimination Index 1999Item # Item

Discrimination*Item # Item

Discrimination*Item # Item

Discrimination*

5 76.3 22 53.0 6 24.2

10 70.8 12 51.6 23 24.2

19 66.7 8 46.7 25 21.8

17 64.3 7 45.7 24 17.1

18 63.3 3 45.6 4 12.4

2 61.0 11 43.2

16 58.8 20 42.4

14 58.6 21 37.6

9 55.9 15 36.1

13 55.9 1 28.7Note. * Percent difference between top and bottom quintiles responding correctly.

Percent Responding Correctly to Item 5 by Quintile and by Gender (1999)

QUINTILE

5.004.003.002.001.00

Perc

ent

1.0

.8

.6

.4

.2

0.0

GENDER

F

M

Percent Responding Correctly to Item 10 by Quintile and by Gender (1999)

QUINTILE

5.004.003.002.001.00

Perc

ent

1.0

.8

.6

.4

.2

0.0

GENDER

F

M

Percent Responding Correctly to Item 19 by Quintile and by Gender (1999)

QUINTILE

5.004.003.002.001.00

Perc

ent

1.0

.8

.6

.4

.2

0.0

GENDER

F

M

Item Discrimination Index 2000Item # Item

Discrimination*Item # Item

Discrimination*Item # Item

Discrimination*

6 73.5 17 47.7 25 19.4

16 68.6 12 44.9 21 15.4

15 67.2 20 44.2 4 14.9

7 64.1 9 42.0 19 12.9

10 56.2 11 34.7 1 10.7

3 54.9 8 33.1

2 53.8 14 30.1

18 49.4 24 22.7

5 48.7 22 21.5

13 47.9 23 21.0

Note. * Percent difference between top and bottom quintiles responding correctly.

Percent Responding Correctly to Item 6 by Quintile and by Gender (2000)

QUINTILE

5.004.003.002.001.00

Perc

ent

1.0

.8

.6

.4

.2

0.0

GENDER

F

M

Percent Responding Correctly to Item 16 by Quintile and by Gender (2000)

QUINTILE

5.004.003.002.001.00

Perc

ent

1.0

.8

.6

.4

.2

0.0

GENDER

F

M

Percent Responding Correctly to Item 15 by Quintile and by Gender (2000)

QUINTILE

5.004.003.002.001.00

Perc

ent

1.0

.8

.6

.4

.2

0.0

GENDER

F

M

Item Discrimination Index 2001Item # Item

Discrimination*Item # Item

Discrimination*Item # Item

Discrimination*

8 75.3 11 55.2 2 28.9

12 64.9 22 53.5 3 25.7

4 62.4 20 48.1 24 22.1

13 61.7 19 44.8 18 21.0

15 61.4 14 42.4 23 13.2

17 60.9 16 42.1

5 59.1 1 36.6

7 58.4 25 36.6

10 56.1 21 32.8

6 55.3 9 30.3

Note. * Percent difference between top and bottom quintiles responding correctly.

Percent Responding Correctly to Item 8 by Quintile and by Gender (2001)

QUINTILE

5.004.003.002.001.00

Perc

ent

1.0

.8

.6

.4

.2

0.0

GENDER

F

M

Percent Responding Correctly to Item 12 by Quintile and by Gender (2001)

QUINTILE

5.004.003.002.001.00

Perc

ent

.8

.6

.4

.2

0.0

GENDER

F

M

Percent Responding Correctly to Item 4 by Quintile and by Gender (2001)

QUINTILE

5.004.003.002.001.00

Perc

ent

1.0

.8

.6

.4

.2

0.0

GENDER

F

M