American Mathematics Competition

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American Mathematics Competition
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ACM Scores of 1998 Cumulative Distribution by
Gender (n 107,894 USA 8th Graders)
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ACM Scores of 1999 Cumulative Distribution by
Gender (n 107,441 USA 8th Graders)
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ACM Scores of 2000 Cumulative Distribution by
Gender (n 102,073 USA 8th Graders)
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ACM Scores of 2001 Cumulative Distribution by
Gender (n 85,900 USA 8th Graders)
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ACM 1998 Item Difficulty Index
Item 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.
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ACM 1999 Item Difficulty Index
Item 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.
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ACM 2000 Item Difficulty Index
Item 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.
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ACM 2001 Item Difficulty Index
Item 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.
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Gender Impact on Item Difficulty Index (1998)
Item Item Difficulty Item Difficulty Item Difficulty Item Item Difficulty Item Difficulty Item Difficulty Item Item Difficulty Item Difficulty Item Difficulty
Item M F d Item M F d Item 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.
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Percent Responding Correctly to Item 5 by
Quintile and by Gender (1998)
12
Percent Responding Correctly to Item 9 by
Quintile and by Gender (1998)
13
Percent Responding Correctly to Item 15 by
Quintile and by Gender (1998)
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Gender Impact on Item Difficulty Index 1999
Item Item Difficulty Item Difficulty Item Difficulty Item Item Difficulty Item Difficulty Item Difficulty Item Item Difficulty Item Difficulty Item Difficulty
Item M F d Item M F d Item 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.
15
Percent Responding Correctly to Item 5 by
Quintile and by Gender (1999)
16
Percent Responding Correctly to Item 14 by
Quintile and by Gender (1999)
17
Percent Responding Correctly to Item 2 by
Quintile and by Gender (1999)
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Gender Impact on Item Difficulty Index 2000
Item Item Difficulty Item Difficulty Item Difficulty Item Item Difficulty Item Difficulty Item Difficulty Item Item Difficulty Item Difficulty Item Difficulty
Item M F d Item M F d Item 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.
19
Percent Responding Correctly to Item 10 by
Quintile and by Gender (2000)
20
Percent Responding Correctly to Item 7 by
Quintile and by Gender (2000)
21
Percent Responding Correctly to Item 15 by
Quintile and by Gender (2000)
22
Gender Impact on Item Difficulty Index 2001
Item Item Difficulty Item Difficulty Item Difficulty Item Item Difficulty Item Difficulty Item Difficulty Item Item Difficulty Item Difficulty Item Difficulty
Item M F d Item M F d Item 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.
23
Percent Responding Correctly to Item 17 by
Quintile and by Gender (2001)
24
Percent Responding Correctly to Item 22 by
Quintile and by Gender (2001)
25
Percent Responding Correctly to Item 15 by
Quintile and by Gender (2001)
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Item Discrimination Index 1998
Item 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 23.8
Note. Percent difference between top and bottom
quintiles responding correctly.
27
Percent Responding Correctly to Item 5 by
Quintile and by Gender (1998)
28
Percent Responding Correctly to Item 16 by
Quintile and by Gender (1998)
29
Percent Responding Correctly to Item 10 by
Quintile and by Gender (1998)
30
Item Discrimination Index 1999
Item 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 28.7
Note. Percent difference between top and bottom
quintiles responding correctly.
31
Percent Responding Correctly to Item 5 by
Quintile and by Gender (1999)
32
Percent Responding Correctly to Item 10 by
Quintile and by Gender (1999)
33
Percent Responding Correctly to Item 19 by
Quintile and by Gender (1999)
34
Item Discrimination Index 2000
Item 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.
35
Percent Responding Correctly to Item 6 by
Quintile and by Gender (2000)
36
Percent Responding Correctly to Item 16 by
Quintile and by Gender (2000)
37
Percent Responding Correctly to Item 15 by
Quintile and by Gender (2000)
38
Item Discrimination Index 2001
Item 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.
39
Percent Responding Correctly to Item 8 by
Quintile and by Gender (2001)
40
Percent Responding Correctly to Item 12 by
Quintile and by Gender (2001)
41
Percent Responding Correctly to Item 4 by
Quintile and by Gender (2001)