Example 7: A partial credit analysis |
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A 30 item MCQ Arithmetic Test is to be analyzed in which credit is given for partial solutions to the questions. Each item is conceptualized to have its own response structure, as in the Masters' Partial Credit model. Estimation for the Partial Credit model is described in RSA, p. 87.
In this example, item 1 has 3 scoring levels. "C" is correct, worth 2 points. "A" and "D" are partially correct, worth 1 point. "B" is incorrect, worth 0 points. CODES= identifies all possible valid responses. In this example, KEY1= identifies responses worth 2 points. KEY2= and KEY3= identify responses worth 1 point. The values of KEY1=, KEY2= and KEY3= are set by KEYSCR=. So for item 1, KEY1=C..., KEY2=A..., and KEY3=D. Response B is not in a KEY= and so is scored 0. Here, invalid responses are treated as not-administered. If invalid responses are to be treated as "wrong", specify MISSCORE=0.
; This file is EXAM7.TXT
TITLE="A Partial Credit Analysis" page heading
NAME1=1 ; Person-id starts in column 1
ITEM1=23 ; Item responses start in column 23
NI=30 ; There are 30 items
; USING KEY1= (an alternative is to use IREFER=)
CODES=ABCD ; Scores entered as A through D
; 0 1 2 3
; 123456789012345678901234567890
KEY1=CDABCDBDABCADCBDBCADBABDDCDABC ; Fully correct
KEY2=ABCDABCCBADDABACABBBACCCCDABAB ; Partially correct
KEY3=DABABAAACC*CCABAC************* ; Some partially correct
; if no matching response, use a character not in CODES=, e.g., *
; the keys are matched in sequence, "B" for item 15 matches Key1=, and Key3= is ignored
KEYSCR=211 ; KEY1 fully correct (2 points),
; KEY2, KEY3 partially correct (1 point each)
ISGROUPS=0 ; Each item is its own grouping, i.e., the Partial Credit model
MODELS=R ; Each item has its own Andrich rating scale
STKEEP=Y ; Keep all intermediate categories in analysis, even if never observed
CURVES=111 ; Print all 3 item curves in Tables 2 and 21
CATREF=2 ; Use category 2 for ordering in Table 2
&END
0.7 A1 ; item labels
1.1 A2
.
3.1 A29
2.7 A30
END NAMES
090111000102 10001 BDABADCDACCDCCADBCBDBCDDACADDC
090111000202 10002 BDCDCDCDADCBCCBDBDCABCBDACDABC
.
090111005302 10053 BDABCDDDCCCDDCDBACBABABCMCDBDC
090111005402 10054 BDADCDCCDACBCCABBDADBBCBBDDDDC