Block | Item | NAEP ID | aj | bj | cj | dj1 | dj2 | dj3 | dj4 | dj5 |
---|---|---|---|---|---|---|---|---|---|---|
† Not applicable; c parameters are not estimated for generalized partial credit models, and d parameters are not estimated for two-parameter or three-parameter logistic models. NOTE: For item j, aj represents the discriminatory power of the item, bj represents a location parameter related to item difficulty, cj represents the guessing parameter, and dji represents the category threshold parameter for category i. The c parameter value is exactly zero for items scaled with the two-parameter logistic model. For item j, dji may not sum to zero because of rounding. SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2009 and 2011 Science Assessments. |
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SC | 1 | K114201 | 0.62 | 0.01 | 0.47 | † | † | † | † | † |
2 | K114101 | 1.23 | 1.36 | 0.34 | † | † | † | † | † | |
3 | K113901 | 0.52 | -0.18 | † | 0.98 | -0.98 | † | † | † | |
4 | K114001 | 0.91 | 0.17 | 0.30 | † | † | † | † | † | |
5 | K114002 | 0.75 | 0.43 | 0.19 | † | † | † | † | † | |
6 | K113401 | 0.36 | 0.70 | † | -0.02 | -0.14 | 2.21 | -2.05 | † | |
7 | K113201 | 0.35 | -0.67 | † | 2.42 | -1.82 | -0.59 | † | † | |
8 | K113102 | 0.67 | 0.92 | 0.33 | † | † | † | † | † | |
11 | K113603 | 0.42 | 0.64 | 0.07 | † | † | † | † | † | |
12 | K113001 | 1.03 | -0.22 | 0.33 | † | † | † | † | † | |
13 | K113801 | 0.65 | 0.11 | 0.31 | † | † | † | † | † | |
14 | K113701 (2009) | 0.49 | 0.38 | † | 0.25 | 0.18 | -0.43 | † | † | |
14 | K113701 (2011) | 0.45 | 0.91 | † | 0.62 | 0.61 | -0.21 | -1.02 | † | |
15 | K134201 | 0.46 | -0.04 | † | -0.28 | -0.19 | 0.47 | † | † | |
16 | K113301 | 0.89 | 0.95 | 0.37 | † | † | † | † | † | |
17 | K113501 | 0.63 | 0.47 | 0.28 | † | † | † | † | † | |
SD | 1 | K117801 | 1.21 | -0.71 | 0.35 | † | † | † | † | † |
2 | K114601 | 0.45 | 0.16 | † | -0.20 | 0.39 | -0.15 | -0.03 | † | |
3 | K122201 | 1.54 | 0.84 | 0.35 | † | † | † | † | † | |
4 | K122301 | 0.63 | 0.64 | 0.20 | † | † | † | † | † | |
5 | K122302 | 1.07 | 0.43 | 0.41 | † | † | † | † | † | |
6 | K122303 | 1.17 | 1.52 | 0.29 | † | † | † | † | † | |
7 | K122304 | 1.53 | 0.83 | 0.24 | † | † | † | † | † | |
8 | K116701 | 1.43 | 1.07 | 0.31 | † | † | † | † | † | |
9 | K122901 | 0.88 | -0.34 | 0.25 | † | † | † | † | † | |
10 | K118901 | 1.00 | -0.65 | 0.30 | † | † | † | † | † | |
11 | K122402 | 0.50 | 1.62 | † | 1.16 | -1.16 | † | † | † | |
12 | K123001 | 0.67 | 0.32 | 0.21 | † | † | † | † | † | |
13 | K122801 | 0.69 | 1.34 | † | 0.50 | -0.50 | † | † | † | |
14 | K122001 | 1.22 | 0.66 | 0.27 | † | † | † | † | † | |
15 | K122602 | 0.45 | 1.12 | † | -0.09 | 0.09 | † | † | † | |
16 | K125201 | 0.33 | 0.36 | † | 0.04 | 0.83 | -1.61 | 0.74 | † | |
17 | K122501 | 0.41 | 0.33 | 0.21 | † | † | † | † | † | |
18 | K121801 | 1.19 | 1.63 | 0.25 | † | † | † | † | † | |
SE | 1 | K120701 | 1.18 | 0.42 | 0.54 | † | † | † | † | † |
2 | K120601 | 1.76 | 1.52 | 0.28 | † | † | † | † | † | |
3 | K154501 | 1.01 | 0.10 | 0.25 | † | † | † | † | † | |
4 | K121701 | 0.47 | 2.83 | 0.29 | † | † | † | † | † | |
5 | K121301 | 0.55 | 1.98 | † | -0.25 | -0.05 | 0.30 | † | † | |
6 | K117601 | 0.85 | 1.56 | 0.32 | † | † | † | † | † | |
7 | K120801 | 1.08 | 0.93 | 0.19 | † | † | † | † | † | |
8 | K120802 | 0.32 | 1.69 | † | 0.04 | -0.04 | † | † | † | |
9 | K118501 | 0.51 | 1.14 | † | 1.29 | -0.09 | -1.20 | † | † | |
10 | K154601 | 0.49 | 0.37 | † | 0.76 | -0.76 | † | † | † | |
11 | K120901 | 0.93 | 0.46 | 0.21 | † | † | † | † | † | |
12 | K121401 | 0.94 | 0.54 | 0.49 | † | † | † | † | † | |
13 | K121402 | 0.86 | 0.02 | 0.30 | † | † | † | † | † | |
14 | K121403 | 2.11 | 1.41 | 0.11 | † | † | † | † | † | |
15 | K154701 (2009) | 0.62 | 0.56 | † | 2.29 | -1.12 | -1.17 | † | † | |
15 | K154701 (2011) | 0.61 | 1.24 | † | 3.08 | -0.43 | -0.55 | -2.10 | † | |
16 | K154801 | 0.94 | -0.71 | 0.26 | † | † | † | † | † | |
17 | K121201 | 1.03 | -0.22 | 0.26 | † | † | † | † | † | |
18 | K120501 | 1.42 | -0.06 | 0.28 | † | † | † | † | † | |
SF | 1 | K125101 | 0.37 | -1.26 | 0.25 | † | † | † | † | † |
2 | K124501 | 1.39 | 0.74 | 0.26 | † | † | † | † | † | |
3 | K124601 | 0.72 | 1.72 | 0.30 | † | † | † | † | † | |
4 | K123801 | 0.68 | 0.52 | † | 0.51 | -0.04 | -0.47 | † | † | |
5 | K123802 | 0.44 | 0.39 | † | 0.72 | -0.72 | † | † | † | |
6 | K154901 | 0.59 | 0.66 | 0.25 | † | † | † | † | † | |
7 | K122101 (2009) | 0.49 | 1.30 | † | 0.77 | 1.87 | -2.64 | † | † | |
7 | K122101 (2011) | 0.43 | 1.30 | † | 0.62 | 1.35 | 0.08 | -2.06 | † | |
8 | K125001 | 0.80 | 1.42 | 0.29 | † | † | † | † | † | |
9 | K125002 | 0.88 | 0.83 | 0.29 | † | † | † | † | † | |
10 | K125003 | 0.36 | 0.87 | † | 0.85 | -0.85 | † | † | † | |
11 | K155001 | 1.50 | -0.30 | 0.34 | † | † | † | † | † | |
12 | K155101 | 1.37 | 1.35 | 0.22 | † | † | † | † | † | |
13 | K155201 | 0.98 | 0.33 | 0.24 | † | † | † | † | † | |
14 | K125401 | 0.41 | 1.99 | † | 2.10 | -2.10 | † | † | † | |
15 | K125402 | 0.48 | 0.45 | † | 0.56 | -0.56 | † | † | † | |
16 | K155301 | 1.51 | 0.61 | 0.39 | † | † | † | † | † | |
17 | K124401 | 1.24 | 0.30 | 0.33 | † | † | † | † | † | |
SG | 1 | K111301 | 1.31 | 1.17 | 0.31 | † | † | † | † | † |
2 | K117401 | 1.23 | 0.71 | 0.12 | † | † | † | † | † | |
3 | K155401 | 0.74 | 0.01 | 0.19 | † | † | † | † | † | |
4 | K1107CL | 0.58 | -0.43 | † | 1.65 | -0.05 | -1.59 | † | † | |
5 | K114501 | 1.76 | 1.41 | 0.18 | † | † | † | † | † | |
6 | K110601 | 1.15 | -0.76 | 0.32 | † | † | † | † | † | |
7 | K110602 | 0.84 | 0.24 | 0.24 | † | † | † | † | † | |
8 | K110603 | 1.88 | 1.35 | 0.27 | † | † | † | † | † | |
9 | K123901 | 0.51 | 0.71 | † | 1.31 | 1.58 | -0.52 | -2.38 | † | |
10 | K110401 | 0.41 | 1.16 | † | -0.43 | 0.63 | -0.20 | † | † | |
12 | K110501 | 0.70 | 1.32 | † | 0.99 | -0.99 | † | † | † | |
13 | K121001 | 0.81 | 1.53 | † | 0.35 | -0.35 | † | † | † | |
14 | K1210CL | 0.42 | 0.51 | † | -0.91 | 1.91 | -1.01 | † | † | |
15 | K110801 | 1.22 | 1.47 | 0.25 | † | † | † | † | † | |
16 | K110101 | 1.24 | 1.47 | 0.33 | † | † | † | † | † | |
SH | 1 | K112801 | 1.08 | -0.36 | 0.40 | † | † | † | † | † |
2 | K112501 | 0.35 | 0.26 | 0.19 | † | † | † | † | † | |
3 | K111901 | 1.00 | 1.51 | 0.46 | † | † | † | † | † | |
4 | K155501 | 1.00 | 0.41 | 0.13 | † | † | † | † | † | |
5 | K155502 | 1.25 | 0.38 | 0.18 | † | † | † | † | † | |
6 | K112401 | 0.60 | 1.28 | † | -0.55 | -2.48 | 3.03 | † | † | |
7 | K112001 | 1.29 | 0.51 | 0.16 | † | † | † | † | † | |
8 | K119701 | 1.38 | 0.58 | 0.26 | † | † | † | † | † | |
9 | K155601 | 0.28 | 2.51 | † | -1.60 | 1.50 | 1.72 | -1.62 | † | |
10 | K117201 | 0.74 | 0.41 | 0.33 | † | † | † | † | † | |
11 | K117202 | 0.57 | -0.22 | † | † | † | † | † | † | |
12 | K155701 | 0.55 | 1.88 | † | 0.51 | -0.51 | † | † | † | |
13 | K155702 | 0.67 | 2.09 | † | 1.09 | -1.09 | † | † | † | |
14 | K111601 | 0.74 | 0.24 | 0.19 | † | † | † | † | † | |
15 | K112901 | 0.71 | 1.57 | 0.22 | † | † | † | † | † | |
16 | K155801 | 1.41 | -0.19 | 0.33 | † | † | † | † | † | |
17 | K112701 | 0.73 | 0.48 | 0.27 | † | † | † | † | † | |
18 | K155901 | 0.64 | 0.09 | 0.29 | † | † | † | † | † | |
SI | 1 | K115101 | 0.81 | -0.16 | 0.28 | † | † | † | † | † |
2 | K114401 | 1.07 | 0.45 | 0.16 | † | † | † | † | † | |
3 | K115201 | 0.72 | 0.79 | † | 0.18 | 0.77 | -0.95 | † | † | |
4 | K114901 | 1.23 | 0.41 | 0.23 | † | † | † | † | † | |
5 | K1560CL | 0.26 | 2.54 | † | 2.36 | -2.36 | † | † | † | |
6 | K156101 | 0.46 | 1.92 | † | -1.87 | 1.80 | 0.07 | † | † | |
7 | K115501 | 1.58 | 1.58 | 0.16 | † | † | † | † | † | |
8 | K114802 | 0.61 | 0.26 | † | -0.31 | 0.31 | † | † | † | |
9 | K114801 | 0.36 | 1.92 | † | -1.15 | 2.58 | -1.44 | † | † | |
10 | K115301 | 1.00 | -0.33 | 0.31 | † | † | † | † | † | |
12 | K124102 | 0.53 | 0.56 | † | 0.67 | -0.67 | † | † | † | |
13 | K111401 | 1.13 | 1.52 | 0.31 | † | † | † | † | † | |
14 | K156201 | 1.15 | 0.74 | 0.41 | † | † | † | † | † | |
SJ | 1 | K116401 | 0.76 | -0.48 | 0.32 | † | † | † | † | † |
2 | K111701 | 0.99 | 0.81 | 0.32 | † | † | † | † | † | |
3 | K123501 | 0.39 | -1.01 | 0.12 | † | † | † | † | † | |
4 | K156301 | 0.87 | 1.40 | 0.20 | † | † | † | † | † | |
5 | K115801 | 0.87 | -0.04 | 0.27 | † | † | † | † | † | |
6 | K1158CL | 0.66 | -1.99 | † | 0.78 | -0.78 | † | † | † | |
7 | K1564CL | 1.04 | -0.93 | † | † | † | † | † | † | |
8 | K156601 | 0.86 | -0.44 | 0.31 | † | † | † | † | † | |
9 | K110901 | 0.68 | 1.54 | † | 0.09 | -0.09 | † | † | † | |
10 | K116101 | 0.46 | 1.16 | † | 0.90 | 1.98 | -1.39 | -1.50 | † | |
11 | K116001 | 1.18 | 1.71 | 0.26 | † | † | † | † | † | |
12 | K116002 | 0.92 | -0.33 | † | † | † | † | † | † | |
13 | K116201 | 0.85 | 0.14 | 0.21 | † | † | † | † | † | |
14 | K116202 | 0.60 | 1.62 | † | 1.05 | 1.50 | -2.55 | † | † | |
15 | K117301 | 1.08 | 1.02 | 0.28 | † | † | † | † | † | |
16 | K1159CL | 0.66 | 1.55 | † | 1.98 | 0.39 | -1.41 | -0.97 | † | |
17 | K115701 | 0.67 | -0.48 | 0.24 | † | † | † | † | † | |
SK | 1 | K119401 | 1.08 | -0.06 | 0.37 | † | † | † | † | † |
2 | K123201 | 0.61 | 0.70 | 0.27 | † | † | † | † | † | |
3 | K119201 | 0.93 | 0.78 | 0.33 | † | † | † | † | † | |
4 | K156701 | 0.59 | 2.24 | 0.19 | † | † | † | † | † | |
5 | K123601 | 0.36 | -0.50 | † | 1.47 | -3.32 | 2.04 | -0.18 | † | |
6 | K111801 | 1.02 | 0.90 | † | 0.49 | -0.49 | † | † | † | |
7 | K111802 | 0.84 | 0.85 | † | -0.05 | 0.05 | † | † | † | |
8 | K111803 | 0.77 | 1.59 | † | 0.27 | -0.27 | † | † | † | |
9 | K120101 | 1.46 | 1.15 | 0.13 | † | † | † | † | † | |
10 | K117001 | 0.50 | 1.03 | † | 0.49 | -0.49 | † | † | † | |
11 | K1170CL | 0.42 | 1.56 | † | -0.02 | -0.21 | 0.23 | † | † | |
12 | K117005 | 0.81 | -0.62 | 0.40 | † | † | † | † | † | |
13 | K117006 | 1.56 | 1.04 | 0.30 | † | † | † | † | † | |
14 | K119902 | 0.43 | 1.72 | † | 1.82 | -1.82 | † | † | † | |
15 | K120301 | 0.88 | 0.67 | 0.28 | † | † | † | † | † | |
16 | K119601 | 0.82 | 1.35 | 0.34 | † | † | † | † | † | |
SL | 1 | K118001 | 0.77 | -0.42 | 0.30 | † | † | † | † | † |
2 | K156801 | 1.33 | 0.64 | 0.17 | † | † | † | † | † | |
3 | K156901 | 1.49 | 1.49 | 0.25 | † | † | † | † | † | |
4 | K118601 | 1.02 | 1.05 | 0.14 | † | † | † | † | † | |
5 | K124001 | 0.80 | 0.20 | 0.29 | † | † | † | † | † | |
6 | K116901 | 0.47 | -0.45 | † | -0.33 | 0.33 | † | † | † | |
7 | K123301 | 0.78 | 0.18 | † | † | † | † | † | † | |
8 | K157001 (2009) | 0.63 | 1.06 | † | 1.32 | -1.32 | † | † | † | |
9 | K119505 | 0.96 | 0.28 | † | † | † | † | † | † | |
10 | K124301 | 0.38 | 1.47 | 0.07 | † | † | † | † | † | |
11 | K123401 | 0.62 | 0.41 | † | 0.21 | -0.45 | 0.24 | † | † | |
12 | K112601 | 0.71 | 2.03 | † | 0.71 | -0.71 | † | † | † | |
13 | K118801 | 0.65 | 0.84 | 0.18 | † | † | † | † | † | |
14 | K157101 | 0.91 | 0.97 | 0.33 | † | † | † | † | † | |
15 | K115601 | 0.94 | 0.32 | 0.31 | † | † | † | † | † |