Table 2.2 Mean observed categories (average or expected categories: Rasch-half-point thresholds ) |
(controlled by T2SELECT=, MRANGE=, CATREF=)
Table 2 for multiple-choice items.
Table 2 for polytomous items.
EXPECTED SCORE: MEAN (Rasch-score-point threshold, ":" indicates Rasch-half-point threshold) (ILLUSTRATED BY AN OBSERVED CATEGORY)
-5 -4 -3 -2 -1 0 1 2 3 4 5
|-----+-----+-----+-----+-----+-----+-----+-----+-----+-----| NUM TAP
0 0 :1 15 1-3-2-4-1-3
0 0 :1 16 1-4-2-3-1-4
0 0 :1 17 1-4-3-1-2-4
| |
| |
0 0 : 1 1 14 1-4-2-3-4-1
| |
0 0 : 1 1 12 1-3-2-4-3
0 0 : 1 1 13 1-4-3-2-4
| |
0 0 : 1 1 11 1-3-1-2-4
| |
| |
0 0 : 1 1 10 2-4-3-1
| |
0 0 : 1 1 8 1-4-2-3
| |
0 0 : 1 1 6 3-4-1
0 0 : 1 1 9 1-3-2-4
0 : 1 1 5 2-1-4
0 : 1 1 7 1-4-3-2
0 : 1 1 4 1-3-4
|-----+-----+-----+-----+-----+-----+-----+-----+-----+-----| NUM TAP
-5 -4 -3 -2 -1 0 1 2 3 4 5
1
1 1 2 2 2 3 2 5 4 1 2 KID
T S M S T
0 10 20 30 60 80 90 99 PERCENTILE
Table 2.2 is used for inference:
Past-sample-dependent inference: If you expect the future person to be from a person sample exactly like the past sample (distribution, ability level, misfit, etc.) , then base your decisions on Table 2.7.
Past-sample-distribution-dependent inference: If you expect the future person to be from a person sample similar to the past sample (distribution, ability level, but not misfit) , then base your decisions on Table 2.5.
Past-sample-independent-as-possible: If you have no information about the future person, except that the latent variable will be the same as for the past sample, then base your decisions on Table 2.2.
Does the future repeat the past? Or is the future something entirely new? The truth is usually somewhere between these extremes.
Multiple-choice items
Table 2.2: shows the predicted average response on the latent variable. In this example, for item "al07", "a" (or any other incorrect option) is the predicted average response up to 3.2 logits, then "d", the correct response, becomes the average predictions. The ":" is at the transition from an average expected wrong response to an average expected "right" response, i.e., where the predicted average score on the item is 0.5, the Rasch-half-point thresholds. The "a" below "2" is positions where the expected average score on the item is 0.25. Similarly "d" would be repeated where the expected average score on the item is 0.75, according to the Rasch model.
TABLE 2.2 EXPECTED SCORE: MEAN (":" INDICATES HALF-POINT THRESHOLD) (ILLUSTRATED BY AN OBSERVED CATEGORY)
-4 -3 -2 -1 0 1 2 3 4
|------+------+------+------+------+------+------+------| NUM TOPIC
a a : d 55 al07 newspaper
a a : c 64 sa01 magazine
Table 2.12 is the same as Table 2, but the options are shown by their scored values, not by their codes in the data.
TABLE 2.12 EXPECTED SCORE: MEAN (":" INDICATES HALF-POINT THRESHOLD) (BY CATEGORY SCORE)
-4 -3 -2 -1 0 1 2 3 4
|------+------+------+------+------+------+------+------| NUM TOPIC
0 0 : 1 55 al07 newspaper
0 0 : 1 64 sa01 magazine
Polytomous items
Tables 2.2 & 2.12: In the "Expected Score" Table, the standard output (or selected with CURVES=010) answers the question "what is the average rating that we expect to observer for persons of a particular measure?" This rating information is expressed in terms of expected scores (with ":" at the half-point thresholds). Extreme scores are located at expected scores .25 score points away from the extremes. This plot also indicates the operational range of each item.
In this example of a 5 category rating scale, the operation range of the top item is indicated in red.
-5 -3 -1 1 3 5 7
|---------+---------+---------+---------+---------+---------| NUM ITEM
1 1 : 2 : 3 : 4 : 5 5 13 M. STAIRS
Operational range: ^-------------------------^
|---------+---------+---------+---------+---------+---------| NUM ITEM
-5 -3 -1 1 3 5 7
Example: From a paper by B.D. Wright - www.rasch.org/rmt/rmt141a.htm
Here is what Ben Wright did:
1. Put a code for Gout/No-Gout in every person record
2. Do the Winsteps analysis for everyone.
3. In the Specification menu box, PSELECT= Gout
produce Table 2.2
4. In the Specification menu box, PSELECT=
to restore everyone
5. In the Specification menu box, PSELECT= No-Gout
produce Table 2.2
6. Copy-and-paste the person distribution from 5. onto the bottom of 3.
Help for Winsteps Rasch Measurement and Rasch Analysis Software: www.winsteps.com. Author: John Michael Linacre
Facets Rasch measurement software.
Buy for $149. & site licenses.
Freeware student/evaluation Minifac download Winsteps Rasch measurement software. Buy for $149. & site licenses. Freeware student/evaluation Ministep download |
---|
Forum: | Rasch Measurement Forum to discuss any Rasch-related topic |
---|
Questions, Suggestions? Want to update Winsteps or Facets? Please email Mike Linacre, author of Winsteps mike@winsteps.com |
---|
State-of-the-art : single-user and site licenses : free student/evaluation versions : download immediately : instructional PDFs : user forum : assistance by email : bugs fixed fast : free update eligibility : backwards compatible : money back if not satisfied Rasch, Winsteps, Facets online Tutorials |
---|
Coming Rasch-related Events: Winsteps and Facets | |
---|---|
Oct 21 - 22 2024, Mon.-Tues. | In person workshop: Facets and Winsteps in expert judgement test validity - UNAM (México) y Universidad Católica de Colombia. capardo@ucatolica.edu.co, benildegar@gmail.com |
Oct. 4 - Nov. 8, 2024, Fri.-Fri. | On-line workshop: Rasch Measurement - Core Topics (E. Smith, Winsteps), www.statistics.com |
Jan. 17 - Feb. 21, 2025, Fri.-Fri. | On-line workshop: Rasch Measurement - Core Topics (E. Smith, Winsteps), www.statistics.com |
May 16 - June 20, 2025, Fri.-Fri. | On-line workshop: Rasch Measurement - Core Topics (E. Smith, Winsteps), www.statistics.com |
June 20 - July 18, 2025, Fri.-Fri. | On-line workshop: Rasch Measurement - Further Topics (E. Smith, Facets), www.statistics.com |
Oct. 3 - Nov. 7, 2025, Fri.-Fri. | On-line workshop: Rasch Measurement - Core Topics (E. Smith, Winsteps), www.statistics.com |
Our current URL is www.winsteps.com
Winsteps® is a registered trademark