One of the easiest to use Software: Winsteps www.winsteps.com LOGO LOGO Introduction 1. Developer of the program: John M. Linacre 2. Provides processing of data within Rasch analysis 3. www.winsteps.com 4. Tel/Fax: (312)264-2352 LOGO Key options of Winsteps Test and item analysis • • • • • • • Calibration of item difficulty Investigation of category functioning Discovering of dimensionality Construction of scale ability (item map) Construction of item characteristic curves and item information curves Differential Item Functioning analysis Analysis of polytomous response structures (rating scales and partial credit items) • Fit statistics analysis • etc. Examinee analysis • Analysis of responses of a examinees • etc. LOGO Work-flow with Winsteps Control file Data file Winsteps Report Output File Output tables Graphs LOGO How to make a control File? The control file tells what analysis you want to do. The template file, TEMPLATE.TXT. LOGO gives you an outline to start from &INST ; optional TITLE = "Put your page heading here" ;Input Data Format NAME1 = 1 ; column of start of person information NAMLEN = 30 ; maximum length of person information ITEM1 = ? ; column of first item-level response NI = ?? ; number of items = test length XWIDE = 1 ; number of columns per response PERSON = Person ; Persons are called ... ITEM = Item ; Items are called ... ; DATA = ; data after control specifications LOGO An example of a control file for dichotomous data &INST TITLE = "Biology-1.1" PERSON = Person ; persons are ... ITEM = Item ; items are ... ITEM1 = 2 ; column of response to first item in data record NI = 37 ; number of items NAME1 = 1 ; column of first character of person identifying label NAMELEN = 21 ; length of person label XWIDE = 1 ; number of columns per item response CODES = 01 ; valid codes in data file UIMEAN = 0 ; item mean for local origin USCALE = 1 ; user scaling for logits UDECIM = 2 ; reported decimal places for user scaling GROUPS=0 ; specify that each item has its own rating scale (partial credit) &END ;Put item labels here for NI= lines A1 A2 A3 A4 A5 … END LABELS 11101111111111011011111110111111101111 21100000011110001111110001101111011110 … An example of a control file for polytomous data (PCM) LOGO &INST TITLE="PCM" NAME1=1 XWIDE=1 ITEM1=11 NI=45 CODES=012345 GROUPS=0 PERSON=PERSON ITEM=TASKS &END … END LABELS 1 2 3 4 5 011000000100000000100110010001010100000010001 000000210021002100300211010120012200001010101 011001010101211410112210011222310100010122100 245401543342303353544534444344252232445255525 121001010221233201010210010000311300000022110 ….. An example of a control file for polytomous data (RSM) LOGO &INST TITLE="RSM" NAME1=1 XWIDE=1 ITEM1=11 NI=20 CODES=01234 NEWSCORE=12345 MODELS=R PERSON=PERSON ITEM=TASKS &END … END LABELS 1 2 3 4 5 01111201211011122101 24244323323342231123 21010401131301111200 00031200102100130212 11322222211201220 …………………… LOGO The process is running… LOGO Getting of outputs LOGO An example of an output table (table 3.1 Summary statistics) TABLE 3.1 Русский язык ZOU287WS.TXT Mar 21 10:46 2012 INPUT: 1464 Person 34 Item REPORTED: 1464 Person 34 Item 90 CATS WINSTEPS 3.72.3 -----------------------------------------------------------------------------------number of The responses made Fit statistics Estimated person ability SUMMARY OF 1464 MEASURED Person ------------------------------------------------------------------------------| TOTAL MODEL INFIT OUTFIT | | SCORE COUNT MEASURE ERROR MNSQ ZSTD MNSQ ZSTD | |-----------------------------------------------------------------------------| Number of| MEAN 25.0 29.1 .12 .33 1.02 .1 1.01 .0 | Error of correct | S.D. 10.8 5.2 .92 .07 .27 1.0 .33 1.0 | 55.0 34.0 4.05 1.06 2.28 3.7 4.34 4.7 | measurement responses| MAX. | MIN. 1.0 7.0 -2.88 .28 .44 -3.0 .34 -2.6 | including extreme |-----------------------------------------------------------------------------| .36 TRUE SD .84 SEPARATION 2.33 Person RELIABILITY .84 | scores | REAL RMSE |MODEL RMSE .34 TRUE SD .85 SEPARATION 2.49 Person RELIABILITY .86 | | S.E. OF Person MEAN = .02 | ------------------------------------------------------------------------------VALID RESPONSES: 85.7% (APPROXIMATE) Person RAW SCORE-TO-MEASURE CORRELATION = .94 (approximate due to missing data) CRONBACH ALPHA (KR-20) Person RAW SCORE "TEST" RELIABILITY = .90 (approximate due to missing data) InformationOutlier-sensitive Item calibration (difficulty) weighted fit fit statistic The average SUMMARY OF 34 MEASURED Item statistic value of------------------------------------------------------------------------------the statistic | TOTAL MODEL INFIT OUTFIT | | SCORE COUNT MEASURE ERROR MNSQ ZSTD MNSQ ZSTD | |-----------------------------------------------------------------------------| | MEAN 1078.3 1255.1 .00 .05 1.00 -.2 1.01 -.1 | Sample | S.D. 498.2 167.6 .77 .01 .10 2.7 .15 2.8 | standard | MAX. 2173.0 1442.0 1.56 .07 1.39 9.9 1.67 9.9 | deviation | MIN. 416.0 811.0 -1.20 .04 .88 -5.8 .82 -5.5 | |-----------------------------------------------------------------------------| LOGO An example of output table (table 14.1 Item: entry) TABLE ZOU287WS.TXT Mar 21 10:46 2012 the sum of 14.1 Русский язык INPUT: 1464 Person 34 Item REPORTED: 1464 Person 34 Item 90 CATS WINSTEPS 3.72.3 the correct -----------------------------------------------------------------------------------responses Person: REAL SEP.: 2.33 REL.: .84 ... Item: REAL SEP.: 14.45 REL.: 1.00 Standardized outlierto an item sensitive mean square number Item STATISTICS: the ENTRY ORDERof data points by the statistic used to construct measures persons Point-biserial correlation ------------------------------------------------------------------------------------------------|ENTRY TOTAL TOTAL MODEL| INFIT | OUTFIT |PT-MEASURE |EXACT MATCH| | |NUMBER SCORE COUNT MEASURE S.E. |MNSQ ZSTD|MNSQ ZSTD|CORR. EXP.| OBS% EXP%| Item G | |------------------------------------+----------+----------+-----------+-----------+------------| | 1 693 1431 .20 .06|1.00 .1|1.03 1.1| .38 .38| 66.0 66.0| R04Q2_1 0 | | 2 1075 1431 -1.16 .07| .93 -2.2| .82 -3.6| .44 .34| 77.1 76.9| R04Q2_2 0 | | 3 1673 1442 -.25 .04| .99 -.3| .98 -.6| .52 .50| 54.7 51.9| R04Q2_3 0 | | 4 850 1425 -.33 .06| .97 -1.4| .94 -1.8| .41 .38| 68.2 67.7| R04Q2_4 0 | | 5 822 1371 -.30 .06| .88 -5.8| .83 -5.5| .51 .38| 73.0 67.7| R04Q2_5 0 | Standardized The item difficulty The .61 standard.04| error .98 for | 6 1022 1293 -.7| .96 -.9| .53 .51| 51.7 48.8| R04Q2_6 0 | informationin logits the estimate | 7 686 1396 .19 .06| .98 -1.2| .97 -1.2| .41 .38| 66.7 65.8| R04Q2_7 0 | weighted mean | 8 2128 1419 -.93 .04|1.01 .2|1.09 1.5| .47 .48| 59.8 60.5| R04Q2_8 0 | square statistic … | 30 1433 1177 -.60 .05|1.25 6.0|1.26 6.3| .19 .43| 58.2 64.4| R04Q7_1 0 | | 31 750 1170 -.49 .07|1.02 .7| .98 -.4| .36 .37| 67.5 69.5| R04Q7_2 0 | | 32 624 1092 -.11 .07|1.01 .4|1.00 .0| .37 .38| 66.4 66.8| R04Q7_3 0 | | 33 635 1003 1.12 .05|1.20 4.7|1.27 5.1| .35 .48| 49.0 55.2| R04Q7_4 0 | | 34 884 811 .85 .04|1.01 .3|1.01 .2| .58 .59| 40.8 40.9| R04Q7_5 0 | |------------------------------------+----------+----------+-----------+-----------+------------| | MEAN 1078.3 1255.1 .00 .05|1.00 -.2|1.01 -.1| | 60.9 60.5| | | S.D. 498.2 167.6 .77 .01| .10 2.7| .15 2.8| | 10.6 9.5| | ------------------------------------------------------------------------------------------------- An example of examinee responses (table 7.1 person: responses) LOGO NUMBER - NAME -- POSITION ------ MEASURE - INFIT (MNSQ) OUTFIT Individual number Test score Individual number 10 1,01 15 2,07 148 1,21 887 11121122211120112112121 1.68 1.4 RESPONSE: 1: 1 1 1 2 1 1 2 2 2 1 Z-RESIDUAL: Fit statistics 1.2 Test score RESPONSE: Z-RESIDUAL: 11: 1 1 2 0 1 -3 1 2 1 1 2 RESPONSE: Z-RESIDUAL: 21: 1 2 1 2 1 -3 2 2 2 1 1 Significantly RESPONSE: Z-RESIDUAL: 31: 1 2 1 1………………………………………… negative response A number of responses with notes of significant deviations (* — significantly negative, + — significantly positive) Part А | Part В | Part С 11100 11100 11111 11011 11111 11110 10010 10001 10001 12213 ** * * * + 11110 11011 11110 11011 11101 11111 01020 11111 11111 22213 * * * * * * * * + 11111 11111 11111 11111 11111 00000 10021 11002 11111 12000 ***** * Item map (table 12) LOGO TABLE 12.2 Русский язык ZOU000WS.TXT Mar 19 1:19 2012 INPUT: 1464 Person 34 Item REPORTED: 1464 Person 34 Item 90 CATS WINSTEPS 3.72.3 ------------------------------------------------------------------------------------ 4 3 2 1 Logits 0 -1 -2 -3 EACH Person - MAP - Item <more>|<rare> . + | | | | | | . + . | . | . | . | . | . | . T+ .## | .# | .## |T R04Q1_8 R04Q1_9 .### | .#### | .#### | R04Q7_4 .####### S+ R04Q1_3 .####### | R04Q7_5 .####### |S R04Q1_5 R04Q8_8 .####### | R04Q1_1 R04Q2_12 .########### | R04Q1_2 R04Q1_4 ########## | .########### M| R04Q2_1 R04Q2_7 .########## +M R04Q8_7 .########### | R04Q7_3 .######## | R04Q2_3 R04Q2_4 .######## | R04Q7_2 R04Q8_2 ######## | R04Q7_1 R04Q8_3 .##### |S R04Q8_5 .##### S| R04Q2_10 R04Q2_8 .### + R04Q1_6 R04Q2_9 .### | R04Q2_11 R04Q2_2 .### | .## | .# |T .## T| . | .# + . | . | . | . | | . | + <less>|<frequ> "#" IS 9. EACH "." IS 1 TO 8 Mean (examinees) R04Q2_6 R04Q1_7 R04Q2_5 R04Q8_6 R04Q8_1 R04Q8_4 Mean (items) LOGO Graphs Item characteristic curve LOGO Confidence interval Empirical data Model curve LOGO Category “0” Category Probability Curve Category “1” Category “2” LOGO Item Information Function Curve The lowest error of measurement The biggest error of measurement The biggest error of measurement LOGO Test Information Function The lowest error of measurement The biggest error of measurement The biggest error of measurement LOGO Advantages and limitations of the program + - Clear graphs and plots + confidence intervals for model and empirical item characteristic curves (the Provides only Rasch analysis, can not be used for 2Pl or 3Pl analysis boundary lines which indicate upper and lower 95% two-sided confidence intervals) A detailed and easy to use manual Possibility of examinee responses analysis www.winsteps.com LOGO