Table 2.5 Observed average measures of persons for scored categories (empirical averages) |
(controlled by T2SELECT=, MRANGE=, CATREF=)
OBSERVED AVERAGE MEASURES FOR KID (scored) (ILLUSTRATED BY AN OBSERVED CATEGORY)
-5 -4 -3 -2 -1 0 1 2 3 4 5
|-----+-----+-----+-----+-----+-----+-----+-----+-----+-----| NUM TAP
| 0 1 | 15 1-3-2-4-1-3
| 0 1 | 16 1-4-2-3-1-4
| 0 1 | 17 1-4-3-1-2-4
| |
| |
| 0 1 | 14 1-4-2-3-4-1
| |
| 0 1 | 12 1-3-2-4-3
| 0 1 | 13 1-4-3-2-4
| |
| 0 1 | 11 1-3-1-2-4
| |
| |
| 0 1 | 10 2-4-3-1
| |
| 0 1 | 8 1-4-2-3
| |
| 0 1 | 6 3-4-1
| 0 1 | 9 1-3-2-4
| 0 1 | 5 2-1-4
| 0 1 | 7 1-4-3-2
| 0 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 2.5 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.
To plot Table 2.5 in Excel:
The numbers for the Y-axis are in IFILE= (MEASURE)
The number for the X-axis are in DISFILE= (AVGE MEAS)
Multiple-choice items
Table 2.5 shows the average measures of persons choosing wrong distractors (illustrated by one of the wrong distractors, "a") and the average measures or persons choosing a correct distractor (illustrated by one of the correct distractors, "d").
TABLE 2.5 OBSERVED AVERAGE MEASURES FOR STUDENTS (scored) (ILLUSTRATED BY AN OBSERVED CATEGORY)
-4 -3 -2 -1 0 1 2 3 4
|------+------+------+------+------+------+------+------| NUM TOPIC
| a d 55 al07 newspaper
| a c | 64 sa01 magazine
Table 2.15 is the same as Table 5, but the options are shown by their scored values, not by their codes in the data.
TABLE 2.15 OBSERVED AVERAGE MEASURES FOR STUDENTS (scored) (BY CATEGORY SCORE)
-4 -3 -2 -1 0 1 2 3 4
|------+------+------+------+------+------+------+------| NUM TOPIC
| 0 1 55 al07 newspaper
| 0 1 | 64 sa01 magazine
Polytomous items
Tables 2.5 & 2.15 plot the observed average person measures for each scored category. It reflects how this sample used these categories. The plotted values cannot fall outside the range of the sample.
The rating-scale categories, such as 0, 1 and 2, are plotted for each item (y-axis) at the average measure of the persons who responded in that category (x-axis).
OBSERVED AVERAGE MEASURES BY SCORED CATEGORY FOR PUPILS
-2 -1 0 1 2 3 4 5
|-------+-------+-------+-------+-------+-------+-------| NUM ACT
| 000102 | 5 FIND BOTTLES AND CANS
| |
| 000102 | 23 WATCH A RAT
| |
| 00 01 02 | 20 WATCH BUGS
| 00 01 02 | 4 WATCH GRASS CHANGE
| 0001 02 | 8 LOOK IN SIDEWALK CRACKS
|-------+-------+-------+-------+-------+-------+-------| NUM ACT
-2 -1 0 1 2 3 4 5
1 2 11 2 114346533233332222 322 2 1 1 1 1 1 11 PUPILS
T S M S T
Help for Winsteps Rasch Measurement Software: www.winsteps.com. Author: John Michael Linacre
For more information, contact info@winsteps.com or use the comment form below.
| Facets Rasch measurement software.
Buy for $149. & site licenses.
Freeware student/evaluation download Winsteps Rasch measurement software. Buy for $149. & site licenses. Freeware student/evaluation download |
|
| 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 | |
|---|---|
| Forum | Rasch Measurement Forum to discuss any Rasch-related topic |
|
|
| Coming Rasch-related Events | |
|---|---|
| July 31 - Aug. 3, 2017, Mon.-Thurs. | Joint IMEKO TC1-TC7-TC13 Symposium 2017: Measurement Science challenges in Natural and Social Sciences, Rio de Janeiro, Brazil, imeko-tc7-rio.org.br |
| Aug. 7-9, 2017, Mon-Wed. | In-person workshop and research coloquium: Effect size of family and school indexes in writing competence using TERCE data (C. Pardo, A. Atorressi, Winsteps), Bariloche Argentina. Carlos Pardo, Universidad Catòlica de Colombia |
| Aug. 7-9, 2017, Mon-Wed. | PROMS 2017: Pacific Rim Objective Measurement Symposium, Sabah, Borneo, Malaysia, proms.promsociety.org/2017/ |
| Aug. 10, 2017, Thurs. | In-person Winsteps Training Workshop (M. Linacre, Winsteps), Sydney, Australia. www.winsteps.com/sydneyws.htm |
| Aug. 11 - Sept. 8, 2017, Fri.-Fri. | On-line workshop: Many-Facet Rasch Measurement (E. Smith, Facets), www.statistics.com |
| Aug. 18-21, 2017, Fri.-Mon. | IACAT 2017: International Association for Computerized Adaptive Testing, Niigata, Japan, iacat.org |
| Sept. 15-16, 2017, Fri.-Sat. | IOMC 2017: International Outcome Measurement Conference, Chicago, jampress.org/iomc2017.htm |
| Oct. 13 - Nov. 10, 2017, Fri.-Fri. | On-line workshop: Practical Rasch Measurement - Core Topics (E. Smith, Winsteps), www.statistics.com |
| Jan. 5 - Feb. 2, 2018, Fri.-Fri. | On-line workshop: Practical Rasch Measurement - Core Topics (E. Smith, Winsteps), www.statistics.com |
| Jan. 10-16, 2018, Wed.-Tues. | In-person workshop: Advanced Course in Rasch Measurement Theory and the application of RUMM2030, Perth, Australia (D. Andrich), Announcement |
| Jan. 17-19, 2018, Wed.-Fri. | Rasch Conference: Seventh International Conference on Probabilistic Models for Measurement, Matilda Bay Club, Perth, Australia, Website |
| April 13-17, 2018, Fri.-Tues. | AERA, New York, NY, www.aera.net |
| May 25 - June 22, 2018, Fri.-Fri. | On-line workshop: Practical Rasch Measurement - Core Topics (E. Smith, Winsteps), www.statistics.com |
| June 29 - July 27, 2018, Fri.-Fri. | On-line workshop: Practical Rasch Measurement - Further Topics (E. Smith, Winsteps), www.statistics.com |
| Aug. 10 - Sept. 7, 2018, Fri.-Fri. | On-line workshop: Many-Facet Rasch Measurement (E. Smith, Facets), www.statistics.com |
| Oct. 12 - Nov. 9, 2018, Fri.-Fri. | On-line workshop: Practical Rasch Measurement - Core Topics (E. Smith, Winsteps), www.statistics.com |
| The HTML to add "Coming Rasch-related Events" to your webpage is: <script type="text/javascript" src="http://www.rasch.org/events.txt"></script> | |
For more information, contact Winsteps.com by e-mail using the comment form above.
Our current URL is www.winsteps.com
Winsteps® is a registered trademark
| John "Mike" Linacre, author of Winsteps, and Jenny use and recommend eco-friendly, highly effective beauty and wellness products such as skincare |