american mathematics competition. acm scores of 1998: cumulative distribution by gender (n= 107,894...
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ACM Scores of 1999: Cumulative Distribution by Gender (n= 107,441 USA 8th Graders)TRANSCRIPT
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