MRSCAL VERSION 3.20 MRSCAL VERSION 3.20 MRSCAL VERSION 3.20 MRSCAL VERSION 3.20 MRSCAL VERSION 3.20 MRSCAL VERSION 3.20 MRSCAL VERSION 3.20 MRSCAL VERSION 3.20 MRSCAL VERSION 3.20 MRSCAL VERSION 3.20 MRSCAL VERSION 3.20 MRSCAL VERSION 3.20 MRSCAL VERSION 3.20 MRSCAL VERSION 3.20 MRSCAL VERSION 3.20 MRSCAL VERSION 3.20 MRSCAL VERSION 3.20 MRSCAL VERSION 3.20 MRSCAL VERSION 3.20 MRSCAL VERSION 3.20 MRSCAL VERSION 3.20 MRSCAL VERSION 3.20 MRSCAL VERSION 3.20 MRSCAL VERSION 3.20 MRSCAL VERSION 3.20 ORIGINATOR: E.E. ROSKAM, UNIVERSITY OF NIJMEGEN, THE NETHERLANDS. +-------------------------------------------------------------------------------------------+ | | | M D S (X) PROGRAMS | | | | AN INTEGRATED SERIES OF MULTIDIMENSIONAL SCALING PROGRAMS WITH A COMMON COMMAND | | LANGUAGE. | | | | PROGRAMS AND SUPPORTING DOCUMENTATION OTHER ENQUIRIES SHOULD | | ARE DISTRIBUTED FROM BE ADDRESSED TO | | | | MDS(X) PROJECT, MDS(X) PROJECT, | | PROGRAM LIBRARY UNIT, SOCIOLOGICAL RESEARCH UNIT, | | UNIVERSITY OF EDINBURGH, UNIVERSITY COLLEGE, | | 18 BUCCLEUCH PLACE, P.O. BOX 78, | | EDINBURGH EH8 9LN, CARDIFF CF1 1XL, | | U.K. U.K. | | | | USERS ARE EXPECTED TO CITE THE PROGRAM ORIGINATOR AND THE MDS(X) SERIES WHEN | | PUBLISHING RESULTS. | | | +-------------------------------------------------------------------------------------------+ 1. RUN NAME MRSCAL TEST DATA. 2. TASK NAME TASK 1 OF 2: TORGERSON DATA P.286 3. # OF STIMULI 9 4. INPUT FORMAT (10F5.2) 5. DIMENSION 2 6. PRINT ALL 7. PLOT ALL 8. PUNCH ALL 9. PARAMETERS DATA TYPE(1) LINEAR TRANSFORM(1) CRITERION(.00000001) 10. COMMENT RED HUE MUNSELL COLOURS, DIFFERING IN 11. BRIGHTNESS & SATURATION, 12. DATA DERIVED FROM 82 TRIADS WITH 38 SUBJECTS, 13. SEE TORGERSON PP280 ET SEQ 14. COMMENT 15. PARAMETER DEFINITIONS 16. --------------------- 17. 18. 1) DATA TYPE (DEFAULT VALUE : 0) 19. 0 : THE DATA ARE SIMILARITIES. 20. 1 : THE DATA ARE DISSIMILARITIES. 21. 2) LINEAR TRANSFORM (DEFAULT VALUE : 0) 22. 0 : NO LINEAR TRANSFORMATION OF DATA IS REQUIRED. 23. 1 : LINEAR TRANSFORMED IS REQUIRED. 24. (SEE PROGRAM WRITE UP) 25. 3) LOG TRANSFORM (DEFAULT VALUE : 0) 26. 0 : NO LOG TRANSFORMATION OF DATA IS REQUIRED. 27. 1 : LOG TRANSFORMATION OF DATA IS REQUIRED. 28. 4) MATFORM (DEFAULT VALUE : 0) 29. (ONLY RELEVANT WHEN 'READ CONFIG' IS USED.) 30. 0 : THE INPUT CONFIGURATION IS PUNCHED STIMULI (ROWS) 31. BY DIMENSIONS (COLUMNS). 32. 1 : THE INPUT CONFIGURATION IS PUNCHED DIMENSIONS 33. (ROWS) BY STIMULI (COLUMNS). 34. 5) CRITERION (DEFAULT VALUE : 0.00001) 35. THE CRITERION VALUE FOR TERMINATING ITERATIONS. 36. 6) MINKOWSKI METRIC (DEFAULT VALUE : 2.0) 37. THE MINKOWSKI METRIC FOR THE ANALYSIS. 38. ITERATIONS 50 39. READ MATRIX 40. COMPUTE MRSCAL TEST DATA. TASK 1 OF 2: TORGERSON DATA P.286 SOLUTION IN 2 DIMENSIONS ======================== INITIAL CONFIGURATION 1 2 1 -0.8169 1.3130 2 -0.2623 0.4384 3 -0.7784 -0.2034 4 0.1379 0.3374 5 -0.0965 -0.1953 6 -0.4463 -1.2547 7 0.3483 -0.0364 8 0.1937 -0.7224 9 1.7205 0.3234 MRSCAL TEST DATA. TASK 1 OF 2: TORGERSON DATA P.286 TRIAL CONFIGURATION DIMENSION 2 PLOTTED AGAINST DIMENSION 1 DIMENSION 2 -100 -90 -80 -70 -60 -50 -40 -30 -20 -10 * 10 20 30 40 50 60 70 80 90 100 .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+. 1.72 ! 9 ! 100 1.65 ! ! 96 1.58 ! ! 92 1.51 ! ! 88 1.45 ! ! 84 1.38 ! ! 80 1.31 ! ! 76 1.24 ! ! 72 1.17 ! ! 68 1.10 ! ! 64 1.03 ! ! 60 0.96 ! ! 56 0.89 ! ! 52 0.83 ! ! 48 0.76 ! ! 44 0.69 ! ! 40 0.62 ! ! 36 0.55 ! ! 32 0.48 ! ! 28 0.41 ! 7 ! 24 0.34 ! ! 20 0.28 ! ! 16 0.21 ! 8 4 ! 12 0.14 ! ! 8 0.07 ! ! 4 DIMENSION 1 + -0.07 ! ! -4 -0.14 ! 5 ! -8 -0.21 ! ! -12 -0.28 ! 2 ! -16 -0.34 ! ! -20 -0.41 ! ! -24 -0.48 ! 6 ! -28 -0.55 ! ! -32 -0.62 ! ! -36 -0.69 ! ! -40 -0.76 ! ! -44 -0.83 ! 3 1 ! -48 -0.89 ! ! -52 -0.96 ! ! -56 -1.03 ! ! -60 -1.10 ! ! -64 -1.17 ! ! -68 -1.24 ! ! -72 -1.31 ! ! -76 -1.38 ! ! -80 -1.45 ! ! -84 -1.51 ! ! -88 -1.58 ! ! -92 -1.65 ! ! -96 -1.72 ! !-100 .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+. -1.72-1.55-1.38-1.20-1.03-0.86-0.69-0.52-0.34-0.17 * 0.17 0.34 0.52 0.69 0.86 1.03 1.20 1.38 1.55 1.72 MRSCAL TEST DATA. TASK 1 OF 2: TORGERSON DATA P.286 COEFFICIENT OF MONOTONICITY MU = 0.9988 COEFFICIENT OF ALIENATION = 0.0483 NO OF ITERATIONS = 6 DATA ARE TRANSFORMED BY LINEAR TRANSFORMATION ZHAT=A*(DATA+B), WITH A= 0.408122 AND B= 3.448009 MRSCAL TEST DATA. TASK 1 OF 2: TORGERSON DATA P.286 FINAL CONFIGURATION 1 2 1 -0.7885 0.9915 2 -0.3913 0.6402 3 -1.0736 -0.2309 4 0.3105 0.6353 5 -0.1119 -0.3408 6 -0.5007 -1.1160 7 0.6906 0.0015 8 0.4937 -0.8954 9 1.3712 0.3146 MEAN 0.0000 0.0000 SIGMA 0.7370 0.6759 MRSCAL TEST DATA. TASK 1 OF 2: TORGERSON DATA P.286 REPRODUCED DISTANCES BY MINKOWSKI METRIC U=2.000 1 2 3 4 5 6 7 8 9 1 0.0000 2 0.5302 0.0000 3 1.2551 1.1065 0.0000 4 1.1553 0.7018 1.6327 0.0000 5 1.4942 1.0200 0.9680 1.0635 0.0000 6 2.1270 1.7596 1.0544 1.9300 0.8673 0.0000 7 1.7799 1.2564 1.7794 0.7391 0.8724 1.6334 0.0000 8 2.2813 1.7724 1.7024 1.5416 0.8212 1.0186 0.9182 0.0000 9 2.2633 1.7923 2.5049 1.1081 1.6214 2.3560 0.7492 1.4947 0.0000 MRSCAL TEST DATA. TASK 1 OF 2: TORGERSON DATA P.286 TRANSFORMED FITTED DATA ARE 1 2 3 4 5 6 7 8 9 1 0.0000 2 0.4400 0.0000 3 1.3582 0.9950 0.0000 4 1.1542 0.6195 1.6929 0.0000 5 1.5011 1.0399 0.8685 1.0889 0.0000 6 2.0439 1.7337 1.1338 1.9174 0.9909 0.0000 7 1.8521 1.2154 1.8439 0.6930 0.9052 1.6398 0.0000 8 2.2316 1.8357 1.6929 1.5215 0.7338 1.1338 0.9256 0.0000 9 2.3173 1.7255 2.4765 1.1134 1.6072 2.1745 0.8767 1.5786 0.0000 MRSCAL TEST DATA. TASK 1 OF 2: TORGERSON DATA P.286 TABLE OF RESIDUALS 1 2 3 4 5 6 7 8 9 1 0.0000 2 0.0903 0.0000 3 -0.1031 0.1115 0.0000 4 0.0011 0.0823 -0.0602 0.0000 5 -0.0069 -0.0199 0.0995 -0.0254 0.0000 6 0.0832 0.0259 -0.0794 0.0127 -0.1236 0.0000 7 -0.0722 0.0410 -0.0645 0.0461 -0.0328 -0.0065 0.0000 8 0.0497 -0.0633 0.0095 0.0201 0.0874 -0.1152 -0.0074 0.0000 9 -0.0541 0.0668 0.0284 -0.0053 0.0142 0.1815 -0.1275 -0.0839 0.0000 MRSCAL TEST DATA. TASK 1 OF 2: TORGERSON DATA P.286 FINAL CONFIGURATION DIMENSION 2 PLOTTED AGAINST DIMENSION 1 DIMENSION 2 -100 -90 -80 -70 -60 -50 -40 -30 -20 -10 * 10 20 30 40 50 60 70 80 90 100 .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+. 1.37 ! 9 ! 100 1.32 ! ! 96 1.26 ! ! 92 1.21 ! ! 88 1.15 ! ! 84 1.10 ! ! 80 1.04 ! ! 76 0.99 ! ! 72 0.93 ! ! 68 0.88 ! ! 64 0.82 ! ! 60 0.77 ! ! 56 0.71 ! 7 ! 52 0.66 ! ! 48 0.60 ! ! 44 0.55 ! 8 ! 40 0.49 ! ! 36 0.44 ! ! 32 0.38 ! ! 28 0.33 ! 4 ! 24 0.27 ! ! 20 0.22 ! ! 16 0.16 ! ! 12 0.11 ! ! 8 0.05 ! ! 4 DIMENSION 1 + -0.05 ! ! -4 -0.11 ! ! -8 -0.16 ! 5 ! -12 -0.22 ! ! -16 -0.27 ! ! -20 -0.33 ! ! -24 -0.38 ! ! -28 -0.44 ! 2 ! -32 -0.49 ! ! -36 -0.55 ! 6 ! -40 -0.60 ! ! -44 -0.66 ! ! -48 -0.71 ! ! -52 -0.77 ! ! -56 -0.82 ! 1 ! -60 -0.88 ! ! -64 -0.93 ! ! -68 -0.99 ! ! -72 -1.04 ! ! -76 -1.10 ! 3 ! -80 -1.15 ! ! -84 -1.21 ! ! -88 -1.26 ! ! -92 -1.32 ! ! -96 -1.37 ! !-100 .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+. -1.37-1.23-1.10-0.96-0.82-0.69-0.55-0.41-0.27-0.14 * 0.14 0.27 0.41 0.55 0.69 0.82 0.96 1.10 1.23 1.37 SHEPARD DIAGRAM =============== MRSCAL TEST DATA. TASK 1 OF 2: TORGERSON DATA P.286 SIMILARITY O -- DISTANCES * -- FITTED VALUES 2.722 + ! *O ! ! ! O * 2.213 + ! * O ! ! * O ! 1.703 + ! * O ! ! ! *O 1.194 + ! OO ** ! ! *O ! O *O* O 0.685 + ! *O ! O * ! *O ! * 0.176 + ! ! O * ! ! -0.333 + ! * O ! * ! OO ** ! O* -0.842 + * ! O * O ! ! O** ! O * O -1.352 + ! ! * O ! * O ! -1.861 + * O ! ! ! !* O +-------+-------+-------+-------+-------+-------+-------+-------+-------+-------+ 0.44 0.65 0.85 1.06 1.27 1.47 1.68 1.89 2.09 2.30 2.50 DISTANCE MRSCAL TEST DATA. TASK 1 OF 2: TORGERSON DATA P.286 PLOT OFMU BY ITERATION ITERATION MU INITIAL MU = 0.9988 ==================================================================================================== 1 ! * 0.04828 2 ! * 0.04828 3 ! * 0.04828 4 ! * 0.04828 5 ! * 0.04828 6 ! * 0.04828 MRSCAL TEST DATA. TASK 1 OF 2: TORGERSON DATA P.286 HISTOGRAM OF LOG RESIDUALS FREQUENCY 5! *** 4! ****** *** 3! *** ************ 2! *** ****** ****************** 1!*** *** *** ********* ********************************* *** !!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=! LOG -2.962 -2.579 -2.196 -1.813 -1.430 -1.048 -0.665 ACTUAL 0.001 0.003 0.006 0.015 0.037 0.090 0.216 MRSCAL TEST DATA. TASK 1 OF 2: TORGERSON DATA P.286 P O I N T C O N T R I B U T I O N T O S T R E S S O F 0.04828 CONTRIBUTION POINT ==================================================================================================== 0.00966 6!**************************************************************************************************** 0.00827 9!************************************************************************************* 0.00613 3!*************************************************************** 0.00493 2!*************************************************** 0.00465 1!************************************************ 0.00450 5!********************************************** 0.00447 8!********************************************** 0.00391 7!**************************************** 0.00176 4!****************** END OF TASK 41. TASK NAME MORSE CODES DATA (COOMBS,THEORY OF DATA P.481) 42. # OF STIMULI 10 43. INPUT FORMAT (5X,10F3.2) 44. DIMENSION 2 45. PARAMETERS LINEAR TRANSFORM(1) LOG TRANSFORM(1) 46. PLOT POINT(3)SHEP(2) STRESS(3,2) FINAL CONFIG(2) 47. PUNCH FINAL(2) 48. READ MATRIX 49. INPUT FORMAT (3F4.0) 50. PRINT DATA YES 51. READ CONFIG INPUT INITIAL CONFIGURATION 1 2 1 1.0000 2.0000 2 2.5000 3.8000 3 1.5000 3.2000 4 9.9000 6.5000 5 3.4000 5.6000 6 1.0000 2.0000 7 3.5000 6.5000 8 3.6000 5.6000 9 3.5000 6.7000 10 3.1000 5.1000 52. COMPUTE MRSCAL TEST DATA. MORSE CODES DATA (COOMBS,THEORY OF DATA P.481) LOGARITHMIC TRANSFORMATION IS PERFORMED. TRANSFORMED DATA ARE 1 2 3 4 5 6 7 8 9 10 1 0.0000 2 0.4780 0.0000 3 1.8326 0.5276 0.0000 4 2.8134 1.4697 0.9676 0.0000 5 2.1203 2.5257 1.3093 0.5798 0.0000 6 2.1203 1.9661 1.1087 1.0788 1.2040 0.0000 7 1.6094 1.3863 1.7720 1.4271 1.7148 0.4308 0.0000 8 0.9943 1.3863 1.8326 2.0402 2.3026 1.5141 0.4308 0.0000 9 0.5621 1.2730 2.4079 2.6593 2.9957 2.5257 1.1712 0.5447 0.0000 10 0.6539 1.7148 2.4079 2.6593 2.9957 1.7148 1.8971 0.9416 0.2357 0.0000 SOLUTION IN 2 DIMENSIONS ======================== COEFFICIENT OF MONOTONICITY MU = 0.9932 COEFFICIENT OF ALIENATION = 0.1164 NO OF ITERATIONS = 4 DATA ARE TRANSFORMED BY LOGAR.TRANSFORMATION ZHAT=A*(LOG(B*DATA)), WITH A= -0.729247 AND B= 0.724719 MRSCAL TEST DATA. MORSE CODES DATA (COOMBS,THEORY OF DATA P.481) FINAL CONFIGURATION 1 2 1 -0.8084 -0.4540 2 -0.1919 -0.7667 3 0.6039 -0.7249 4 1.1442 -0.1917 5 1.3950 0.1951 6 0.6089 0.6233 7 0.0612 0.6068 8 -0.5142 0.4439 9 -1.1043 0.0331 10 -1.1945 0.2352 MEAN 0.0000 0.0000 SIGMA 0.8715 0.4904 MRSCAL TEST DATA. MORSE CODES DATA (COOMBS,THEORY OF DATA P.481) FINAL CONFIGURATION DIMENSION 2 PLOTTED AGAINST DIMENSION 1 DIMENSION 2 -100 -90 -80 -70 -60 -50 -40 -30 -20 -10 * 10 20 30 40 50 60 70 80 90 100 .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+. 1.40 ! 5 ! 100 1.34 ! ! 96 1.28 ! ! 92 1.23 ! ! 88 1.17 ! 4 ! 84 1.12 ! ! 80 1.06 ! ! 76 1.00 ! ! 72 0.95 ! ! 68 0.89 ! ! 64 0.84 ! ! 60 0.78 ! ! 56 0.73 ! ! 52 0.67 ! ! 48 0.61 ! 3 6 ! 44 0.56 ! ! 40 0.50 ! ! 36 0.45 ! ! 32 0.39 ! ! 28 0.33 ! ! 24 0.28 ! ! 20 0.22 ! ! 16 0.17 ! ! 12 0.11 ! 7 ! 8 0.06 ! ! 4 DIMENSION 1 + -0.06 ! ! -4 -0.11 ! ! -8 -0.17 ! ! -12 -0.22 ! 2 ! -16 -0.28 ! ! -20 -0.33 ! ! -24 -0.39 ! ! -28 -0.45 ! ! -32 -0.50 ! ! -36 -0.56 ! 8 ! -40 -0.61 ! ! -44 -0.67 ! ! -48 -0.73 ! ! -52 -0.78 ! ! -56 -0.84 ! 1 ! -60 -0.89 ! ! -64 -0.95 ! ! -68 -1.00 ! ! -72 -1.06 ! ! -76 -1.12 ! 9 ! -80 -1.17 ! ! -84 -1.23 ! 10 ! -88 -1.28 ! ! -92 -1.34 ! ! -96 -1.40 ! !-100 .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+. -1.40-1.26-1.12-0.98-0.84-0.70-0.56-0.42-0.28-0.14 * 0.14 0.28 0.42 0.56 0.70 0.84 0.98 1.12 1.26 1.40 SHEPARD DIAGRAM =============== MRSCAL TEST DATA. MORSE CODES DATA (COOMBS,THEORY OF DATA P.481) SIMILARITY O -- DISTANCES * -- FITTED VALUES 0.805 +O * ! ! ! ! 0.730 + ! ! ! ! 0.654 + * O ! ! * O ! ! * O O 0.579 + O * ! O * ! ! * O ! 0.503 + ! ! ! ! 0.428 + ! ! O * ! O ** ! 0.352 + O* ! * O ! * O ! O * ! * O 0.277 + *O ! * O ! * O ! O ** O ! 0.201 + O* ! O * O ! O * *O ! O * ! O * *O 0.126 + O* O ! * ! O *O ! OO * * O O ! O * * O O +-------+-------+-------+-------+-------+-------+-------+-------+-------+-------+ 0.22 0.46 0.70 0.93 1.17 1.41 1.64 1.88 2.12 2.35 2.59 DISTANCE MRSCAL TEST DATA. MORSE CODES DATA (COOMBS,THEORY OF DATA P.481) PLOT OFMU BY ITERATION ITERATION MU INITIAL MU = 0.9932 ==================================================================================================== 1 ! * 0.11677 2 ! * 0.11659 3 ! * 0.11651 4 ! * 0.11647 END OF TASK 53. FINISH NORMAL END OF RUN. 53 CONTROL CARDS, 0 ERRORS, 0 WARNINGS.