6 No. of Problems. Here set up for six analyses of data, 3 of each of two datasets. 1 Model Number (1= One operation; 2 = Two Operations) here set for 1 operation 7 7 No. of Rows and Cols. See Birnbaum(1978) Cog. Theory Vol 3. -92 1300 2527 3922 5422 7233 9480 -1522 006 1371 2629 4173 5757 7822 -2578 -1339 163 1551 2831 4263 6137 -4173 -2690 -1310 010 1371 2880 4527 -5861 -4235 -2892 -1480 -024 1318 2757 -7684 -6076 -4624 -2939 -1584 -173 1408 -9724 -8084 -6629 -4592 -3069 -1559 -061 9897 13310 19145 25278 34310 44269 58429 7833 10102 13973 18800 26090 33555 42141 6204 7933 9969 13610 19292 26080 32114 4422 6131 7896 9990 13742 19851 25469 3188 4345 6065 7663 9959 14386 18937 2198 3100 4276 5812 7588 10031 13612 1296 2051 2986 4143 5892 7743 9980 1 1 1 1 1 1 1 These weights all 1 1 1 1 1 1 1 1 i.e., nothing missing 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 200 300 400 500 600 700 10000 000 100 10000 0 147 1 (for one-operation model, we fix CR=m. This is the end of first problem. 2 Model Number (1= One operation; 2 = Two Operations) here set for 2 operations 7 7 No. of Rows and Cols. See Birnbaum(1978) Cog. Theory Vol 3. -92 1300 2527 3922 5422 7233 9480 -1522 006 1371 2629 4173 5757 7822 -2578 -1339 163 1551 2831 4263 6137 -4173 -2690 -1310 010 1371 2880 4527 -5861 -4235 -2892 -1480 -024 1318 2757 -7684 -6076 -4624 -2939 -1584 -173 1408 -9724 -8084 -6629 -4592 -3069 -1559 -061 9897 13310 19145 25278 34310 44269 58429 7833 10102 13973 18800 26090 33555 42141 6204 7933 9969 13610 19292 26080 32114 4422 6131 7896 9990 13742 19851 25469 3188 4345 6065 7663 9959 14386 18937 2198 3100 4276 5812 7588 10031 13612 1296 2051 2986 4143 5892 7743 9980 1 1 1 1 1 1 1 These weights all 1 1 1 1 1 1 1 1 i.e., nothing missing 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 200 300 400 500 600 700 10000 000 100 10000 0 147 0 (for two-operation model, we allow CR = m to be free. 2 Model Number (1= One operation; 2 = Two Operations) here set for 2 operations 7 7 No. of Rows and Cols. See Birnbaum(1978) Cog. Theory Vol 3. -92 1300 2527 3922 5422 7233 9480 -1522 006 1371 2629 4173 5757 7822 -2578 -1339 163 1551 2831 4263 6137 -4173 -2690 -1310 010 1371 2880 4527 -5861 -4235 -2892 -1480 -024 1318 2757 -7684 -6076 -4624 -2939 -1584 -173 1408 -9724 -8084 -6629 -4592 -3069 -1559 -061 9897 13310 19145 25278 34310 44269 58429 7833 10102 13973 18800 26090 33555 42141 6204 7933 9969 13610 19292 26080 32114 4422 6131 7896 9990 13742 19851 25469 3188 4345 6065 7663 9959 14386 18937 2198 3100 4276 5812 7588 10031 13612 1296 2051 2986 4143 5892 7743 9980 1 1 1 1 1 1 1 These weights all 1 1 1 1 1 1 1 1 i.e., nothing missing 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 200 300 400 500 600 700 10000 000 100 10000 0 147 1 (In this run of two-operation model, we fix m = 1.47 to assess constrained version) 1 Model Number (here set for 1 operation) illustrates an asymmetric case. 7 15 No. of Rows and Cols. Data from Birnbaum & Sotoodeh (1991) Psych Science 0000 240 4184 2063 4554 8390 9394 -0187 3111 3277 -0052 8722 6631 5055 7292 -0353 -0105 3956 1774 4500 7405 8743 -0020 2670 3008 0033 8571 6180 5351 6846 -4447 -3700 0000 -0347 0954 5128 7604 -4460 -1124 -1739 -3614 6230 2680 1230 4616 -2537 -1799 1224 0000 2905 6642 8285 -1886 1382 700 -2395 7424 4947 3107 6257 -4358 -3302 -0220 -2537 -0001 4420 7615 -3938 -2327 -1963 -3696 6490 2879 1619 4571 -7084 -6753 -4708 -5953 -4416 0074 4951 -6794 -5906 -4848 -6944 3375 -2563 -3921 1108 -9344 -9346 -6879 -8310 -7380 -4335 0336 -8645 -8590 -8283 -8783 -2543 -5827 -6713 -4222 1000 1358 2580 1711 3302 5687 7433 1093 1972 2267 1192 6878 4086 3316 5097 1068 1000 2432 1636 3192 5363 7106 1020 1950 1956 1276 6363 3958 2888 4654 0943 0492 1000 0951 1394 3468 5682 0556 0956 0996 0582 4704 1769 1694 3254 0639 0848 1674 1000 2085 4402 6613 0844 1488 1323 0732 5313 3487 2222 4638 0437 0620 1223 0741 1000 3357 5847 0610 0830 0977 0550 4668 2063 2081 3733 0193 0297 0678 0408 0594 1000 3712 0347 0342 0447 0240 2756 0734 0793 1824 0130 0149 0372 0266 0330 0496 1000 0151 0168 0221 0153 0860 0490 0378 0626 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 200 300 400 500 600 700 100 200 300 400 500 600 700 800 100 200 300 400 500 600 700 100 000 10000 100 000 147 1 mask of m (zero makes it free) 2 Model Number (here set for 1 operation) illustrates an asymmetric case. 7 15 No. of Rows and Cols. Data from Birnbaum & Sotoodeh (1991) Psych Science 0000 240 4184 2063 4554 8390 9394 -0187 3111 3277 -0052 8722 6631 5055 7292 -0353 -0105 3956 1774 4500 7405 8743 -0020 2670 3008 0033 8571 6180 5351 6846 -4447 -3700 0000 -0347 0954 5128 7604 -4460 -1124 -1739 -3614 6230 2680 1230 4616 -2537 -1799 1224 0000 2905 6642 8285 -1886 1382 700 -2395 7424 4947 3107 6257 -4358 -3302 -0220 -2537 -0001 4420 7615 -3938 -2327 -1963 -3696 6490 2879 1619 4571 -7084 -6753 -4708 -5953 -4416 0074 4951 -6794 -5906 -4848 -6944 3375 -2563 -3921 1108 -9344 -9346 -6879 -8310 -7380 -4335 0336 -8645 -8590 -8283 -8783 -2543 -5827 -6713 -4222 1000 1358 2580 1711 3302 5687 7433 1093 1972 2267 1192 6878 4086 3316 5097 1068 1000 2432 1636 3192 5363 7106 1020 1950 1956 1276 6363 3958 2888 4654 0943 0492 1000 0951 1394 3468 5682 0556 0956 0996 0582 4704 1769 1694 3254 0639 0848 1674 1000 2085 4402 6613 0844 1488 1323 0732 5313 3487 2222 4638 0437 0620 1223 0741 1000 3357 5847 0610 0830 0977 0550 4668 2063 2081 3733 0193 0297 0678 0408 0594 1000 3712 0347 0342 0447 0240 2756 0734 0793 1824 0130 0149 0372 0266 0330 0496 1000 0151 0168 0221 0153 0860 0490 0378 0626 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 200 300 400 500 600 700 100 200 300 400 500 600 700 800 100 200 300 400 500 600 700 100 000 10000 100 000 147 0 mask of m (zero makes it free) 2 Model Number (here set for 1 operation) illustrates an asymmetric case. 7 15 No. of Rows and Cols. Data from Birnbaum & Sotoodeh (1991) Psych Science 0000 240 4184 2063 4554 8390 9394 -0187 3111 3277 -0052 8722 6631 5055 7292 -0353 -0105 3956 1774 4500 7405 8743 -0020 2670 3008 0033 8571 6180 5351 6846 -4447 -3700 0000 -0347 0954 5128 7604 -4460 -1124 -1739 -3614 6230 2680 1230 4616 -2537 -1799 1224 0000 2905 6642 8285 -1886 1382 700 -2395 7424 4947 3107 6257 -4358 -3302 -0220 -2537 -0001 4420 7615 -3938 -2327 -1963 -3696 6490 2879 1619 4571 -7084 -6753 -4708 -5953 -4416 0074 4951 -6794 -5906 -4848 -6944 3375 -2563 -3921 1108 -9344 -9346 -6879 -8310 -7380 -4335 0336 -8645 -8590 -8283 -8783 -2543 -5827 -6713 -4222 1000 1358 2580 1711 3302 5687 7433 1093 1972 2267 1192 6878 4086 3316 5097 1068 1000 2432 1636 3192 5363 7106 1020 1950 1956 1276 6363 3958 2888 4654 0943 0492 1000 0951 1394 3468 5682 0556 0956 0996 0582 4704 1769 1694 3254 0639 0848 1674 1000 2085 4402 6613 0844 1488 1323 0732 5313 3487 2222 4638 0437 0620 1223 0741 1000 3357 5847 0610 0830 0977 0550 4668 2063 2081 3733 0193 0297 0678 0408 0594 1000 3712 0347 0342 0447 0240 2756 0734 0793 1824 0130 0149 0372 0266 0330 0496 1000 0151 0168 0221 0153 0860 0490 0378 0626 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 200 300 400 500 600 700 100 200 300 400 500 600 700 800 100 200 300 400 500 600 700 100 000 10000 100 000 147 1 mask of m (zero makes it free) Other parameters: AD,BD,CD,AR,BR,CR (i.e. m) references: Birnbaum, M. H. (1978). Differences and ratios in psychological measurement. In N.J. Castellan & F. Restle, (Eds.), Cognitive Theory, Vol. 3. Hillsdale, N.J.: Lawrence Erlbaum Associates, p. 33-74. . Birnbaum, M. H. (1980). Comparison of two theories of "ratio" and "difference" judgments. Journal of Experimental Psychology: General, 109, 304-319. Birnbaum, M. H., & Sotoodeh, Y. (1991). Measurement of stress: Scaling the magnitudes of life changes. Psychological Science, 2, 236-243.