EFILE= expected scores on items

EFILE=filename produces an output file containing the Rasch-model expected score on each item for the measures in the operational range of the set of items.

 

Subsets of items can be reported by using IDELETE= or ISELECT= from the Specification menu.

 

Options using ETYPE=

 

ETYPE=E

Expected score on the item for the ability measure according to the Rasch model. For dichotomous items scored 0/1, this is the probability of success.

ETYPE=P

Most probable category on the item for the ability measure according to the Rasch model. If more than one category, then middle or immediately higher category is shown.

ETYPE=T

Thurstonian category on the item for the ability measure according to the Rasch model. If more than one category, then middle or immediately higher category is shown.

 

Example 1: ETYPE=E with dichotomous 0-1 items.

 

; EXPECTED SCORES FOR Knox Cube Test (Best Test Design p.31)

MEASURE  SCORE      4      5     14     15     16     17

  -7.00    .11    .07    .04    .00    .00    .00    .00

  -6.85    .12    .08    .04    .00    .00    .00    .00

  -6.70    .14    .09    .05    .00    .00    .00    .00

  -6.55    .16    .10    .06    .00    .00    .00    .00

.....

   7.70   5.74   1.00   1.00    .98    .92    .92    .92

   7.85   5.78   1.00   1.00    .98    .93    .93    .93

   8.00   5.81   1.00   1.00    .99    .94    .94    .94

 

MEASURE -7.00

ability measure in logits or user-scaled units (UIMEAN=, USCALE=)

SCORE .11

expected raw score = sum of expected scores on the items with item weighting if IWEIGHT=

4, 5, 14, 15,  ...

item entry numbers

.07, .04, .00, ...

Rasch-model expected score or category on the item for the MEASURE

 

Example 2: Reckase Chart of Expected Scores on All Items for All Measures.

Reckase, M. D.  (2001). Innovative methods for helping standard-setting participants to perform  their  task:  The  role  of  feedback  regarding  consistency,  accuracy,  and impact.  In: Gregory J. Cizek (Ed.), Setting performance standards: Concepts methods and perspectives  (pp. 159-173).  Mahwah, NJ: Erlbaum.

MacCann & Stanley, "Rasch Standard Setting", Practical Assessment Research & Evaluation, 11, 2,  2, Table 1.

 

Example 3: Angoff standard-setting ratings to measures to cut-scores

In https://scholarworks.umas.edu/cgi/viewcontent.cgi?article=1188&context=par "The Use of Rasch Modeling To Improve Standard Setting", their Table 1 is the EFILE= output

Their Table 2 is deduced from the EFILE= output

 


 

Expected Score using Excel

 

Example of 5-category rating scale:

 

Column A: item difficulty

Column B: 1

Column C: exp(-item difficulty - threshold 1)

Column D: Column C * exp(-item difficulty - threshold 2)

Column E: Column D * exp(-item difficulty - threshold 3)

Column F: Column E * exp(-item difficulty - threshold 4)

Column G: Column B + C + D + E + F

Column H: ( Column C + 2 * Column D + 3 * Column E + 4 * Column F ) / Column G = Expected score


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