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NAEP Analysis and Scaling → Scale Linking and Transformation to the Reporting Metric → NAEP Variance Estimation During Transition to Digitally Based Assessment → Transformation Coefficients Used for Variance Calculation, U.S. History National Assessment: 2018
| Subscale | Index | A
| B |
|---|---|---|---|
| Democracy | 1 | 1.0031287011 | -0.3692741615 |
| Democracy | 2 | 1.0025156088 | -0.1134302547 |
| Democracy | 3 | 1.0037488343 | -0.5289948498 |
| Democracy | 4 | 1.0037577191 | -0.5069376389 |
| Democracy | 5 | 1.0043163951 | -0.7520221435 |
| Democracy | 6 | 1.0032262328 | -0.3406090778 |
| Democracy | 7 | 1.0042554596 | -0.4668406834 |
| Democracy | 8 | 1.0036501792 | -0.5614957974 |
| Democracy | 9 | 1.0028421265 | -0.3620051871 |
| Democracy | 10 | 1.0062216958 | -1.0282879540 |
| Democracy | 11 | 1.0010422852 | 0.2381934294 |
| Democracy | 12 | 1.0055146167 | -0.9656551960 |
| Democracy | 13 | 1.0030050956 | -0.3572514771 |
| Democracy | 14 | 1.0031561183 | -0.2556779248 |
| Democracy | 15 | 1.0031931816 | -0.3880347494 |
| Democracy | 16 | 1.0025725470 | -0.2566277085 |
| Democracy | 17 | 1.0023766296 | -0.2408360396 |
| Democracy | 18 | 1.0052160226 | -0.9971351002 |
| Democracy | 19 | 1.0045161543 | -0.8198096654 |
| Democracy | 20 | 1.0046734345 | -0.6694616875 |
| Democracy | 21 | 1.0000772992 | 0.3146304780 |
| Democracy | 22 | 1.0034847565 | -0.4974924084 |
| Democracy | 23 | 0.9987866279 | 0.8975998980 |
| Democracy | 24 | 1.0042860695 | -0.4615601381 |
| Democracy | 25 | 1.0034009366 | -0.4656883024 |
| Democracy | 26 | 1.0049074601 | -0.6739289813 |
| Democracy | 27 | 1.0010386543 | 0.0711194709 |
| Democracy | 28 | 1.0026505481 | -0.1050570364 |
| Democracy | 29 | 1.0015175389 | 0.0939205782 |
| Democracy | 30 | 1.0021984713 | 0.0981652944 |
| Democracy | 31 | 1.0048248791 | -0.8392689871 |
| Democracy | 32 | 1.0033733065 | -0.4653466166 |
| Democracy | 33 | 1.0025998742 | -0.2140099525 |
| Democracy | 34 | 0.9998033871 | 0.6813179400 |
| Democracy | 35 | 1.0038842339 | -0.5074677242 |
| Democracy | 36 | 1.0045377493 | -0.5532568624 |
| Democracy | 37 | 1.0035444646 | -0.4325506176 |
| Democracy | 38 | 1.0042302809 | -0.5831839177 |
| Democracy | 39 | 1.0027068123 | -0.3840858759 |
| Democracy | 40 | 1.0034288079 | -0.3451114957 |
| Democracy | 41 | 1.0035673811 | -0.4950011278 |
| Democracy | 42 | 1.0018641112 | 0.1150231343 |
| Democracy | 43 | 1.0041328261 | -0.6747865134 |
| Democracy | 44 | 1.0052268580 | -0.9415145136 |
| Democracy | 45 | 1.0000454953 | 0.5996495587 |
| Democracy | 46 | 1.0033306371 | -0.4078356780 |
| Democracy | 47 | 1.0044013321 | -0.6192065189 |
| Democracy | 48 | 1.0047559523 | -0.8487912096 |
| Democracy | 49 | 1.0018015687 | -0.0251298931 |
| Democracy | 50 | 1.0028068844 | -0.2125905478 |
| Democracy | 51 | 1.0012009408 | 0.2343836368 |
| Democracy | 52 | 1.0036362537 | -0.4601556809 |
| Democracy | 53 | 1.0016428087 | 0.1305688343 |
| Democracy | 54 | 1.0005456863 | 0.3017279658 |
| Democracy | 55 | 1.0027413030 | -0.2526057439 |
| Democracy | 56 | 1.0045805083 | -0.7129697350 |
| Democracy | 57 | 1.0032055177 | -0.2634047877 |
| Democracy | 58 | 1.0018680337 | -0.0076106529 |
| Democracy | 59 | 1.0029928926 | -0.2802545975 |
| Democracy | 60 | 1.0038723919 | -0.5575849148 |
| Democracy | 61 | 1.0024929125 | -0.0906303001 |
| Democracy | 62 | 1.0052380798 | -0.9257242623 |
| Cultures | 1 | 1.0047379738 | -1.9645075234 |
| Cultures | 2 | 1.0040003559 | -1.7081545375 |
| Cultures | 3 | 1.0043884906 | -1.7710463076 |
| Cultures | 4 | 1.0033998168 | -1.4741806991 |
| Cultures | 5 | 1.0061693251 | -2.3016067773 |
| Cultures | 6 | 1.0045655012 | -1.9022709872 |
| Cultures | 7 | 1.0062358690 | -2.1365865761 |
| Cultures | 8 | 1.0014298821 | -1.0311228269 |
| Cultures | 9 | 1.0051086442 | -2.0024527057 |
| Cultures | 10 | 1.0053082396 | -2.0336767644 |
| Cultures | 11 | 1.0022159923 | -1.2676492036 |
| Cultures | 12 | 1.0071252979 | -2.4671780219 |
| Cultures | 13 | 1.0060395672 | -2.1935700344 |
| Cultures | 14 | 1.0058207836 | -2.0280116367 |
| Cultures | 15 | 1.0043910125 | -1.8617735920 |
| Cultures | 16 | 1.0039885316 | -1.7106979763 |
| Cultures | 17 | 1.0043244080 | -1.7936827217 |
| Cultures | 18 | 1.0059678133 | -2.1878895878 |
| Cultures | 19 | 1.0030483400 | -1.4375118222 |
| Cultures | 20 | 1.0072849823 | -2.5313505760 |
| Cultures | 21 | 1.0054429470 | -2.1239023286 |
| Cultures | 22 | 1.0033359584 | -1.5697843299 |
| Cultures | 23 | 1.0019908681 | -1.1550429106 |
| Cultures | 24 | 1.0050555996 | -1.8226808719 |
| Cultures | 25 | 1.0059514590 | -2.2312415568 |
| Cultures | 26 | 1.0042929573 | -1.7634172539 |
| Cultures | 27 | 1.0023825806 | -1.4421179803 |
| Cultures | 28 | 1.0044835235 | -1.7193831027 |
| Cultures | 29 | 1.0017236204 | -1.1586331488 |
| Cultures | 30 | 1.0039985833 | -1.5960457945 |
| Cultures | 31 | 1.0061180930 | -2.2921537893 |
| Cultures | 32 | 1.0063173873 | -2.4573868661 |
| Cultures | 33 | 1.0042617950 | -1.7792411962 |
| Cultures | 34 | 1.0055511316 | -2.0879246820 |
| Cultures | 35 | 1.0053660751 | -1.9942917263 |
| Cultures | 36 | 1.0058476170 | -2.0534532875 |
| Cultures | 37 | 1.0043166812 | -1.7168715525 |
| Cultures | 38 | 1.0054934441 | -2.0307710185 |
| Cultures | 39 | 1.0027414579 | -1.4484759736 |
| Cultures | 40 | 1.0062691124 | -2.1621996030 |
| Cultures | 41 | 1.0081444685 | -2.8611403118 |
| Cultures | 42 | 1.0005341144 | -0.6970296224 |
| Cultures | 43 | 1.0059636004 | -2.2869636370 |
| Cultures | 44 | 1.0067449488 | -2.4120155417 |
| Cultures | 45 | 1.0008211300 | -0.7305519339 |
| Cultures | 46 | 1.0029574749 | -1.4612343466 |
| Cultures | 47 | 1.0054440736 | -1.9797480957 |
| Cultures | 48 | 1.0060239530 | -2.2474309656 |
| Cultures | 49 | 1.0011349234 | -0.9471756383 |
| Cultures | 50 | 1.0047830030 | -1.9740794913 |
| Cultures | 51 | 1.0026723071 | -1.2416342529 |
| Cultures | 52 | 1.0055978948 | -2.0169068546 |
| Cultures | 53 | 1.0036273126 | -1.5516885200 |
| Cultures | 54 | 1.0036656806 | -1.5669987661 |
| Cultures | 55 | 1.0032648573 | -1.4716189822 |
| Cultures | 56 | 1.0057906589 | -2.2090708170 |
| Cultures | 57 | 1.0044007696 | -1.7225616303 |
| Cultures | 58 | 1.0027583922 | -1.2997117960 |
| Cultures | 59 | 1.0047745134 | -1.8884299121 |
| Cultures | 60 | 1.0046158097 | -1.8280539684 |
| Cultures | 61 | 1.0033533501 | -1.4275863416 |
| Cultures | 62 | 1.0055123872 | -2.1312181976 |
| Technology | 1 | 0.9763477184 | 6.2671253034 |
| Technology | 2 | 0.9759602376 | 6.4650905749 |
| Technology | 3 | 0.9771614590 | 6.1796260707 |
| Technology | 4 | 0.9756710738 | 6.4958155428 |
| Technology | 5 | 0.9776130555 | 5.9900997152 |
| Technology | 6 | 0.9789215182 | 5.7031675509 |
| Technology | 7 | 0.9807767824 | 5.4187464795 |
| Technology | 8 | 0.9728637951 | 7.2471794226 |
| Technology | 9 | 0.9779152061 | 6.0357870665 |
| Technology | 10 | 0.9789383916 | 5.7037352064 |
| Technology | 11 | 0.9775299653 | 6.1232112467 |
| Technology | 12 | 0.9788749426 | 5.8015363526 |
| Technology | 13 | 0.9778717425 | 5.9904634634 |
| Technology | 14 | 0.9760974353 | 6.5269606339 |
| Technology | 15 | 0.9782805231 | 5.8079332430 |
| Technology | 16 | 0.9771644970 | 6.1554746362 |
| Technology | 17 | 0.9762980352 | 6.3531296405 |
| Technology | 18 | 0.9787808970 | 5.7172577465 |
| Technology | 19 | 0.9770089904 | 6.2289296932 |
| Technology | 20 | 0.9786955000 | 5.8103999296 |
| Technology | 21 | 0.9767417230 | 6.2205418279 |
| Technology | 22 | 0.9769592522 | 6.1372875446 |
| Technology | 23 | 0.9745527231 | 6.8065895058 |
| Technology | 24 | 0.9764859105 | 6.5516905853 |
| Technology | 25 | 0.9795743884 | 5.6693692994 |
| Technology | 26 | 0.9767945881 | 6.3558595627 |
| Technology | 27 | 0.9760096482 | 6.3402397008 |
| Technology | 28 | 0.9777886103 | 6.2201561874 |
| Technology | 29 | 0.9765848316 | 6.3566689102 |
| Technology | 30 | 0.9787363425 | 5.8063508500 |
| Technology | 31 | 0.9767707407 | 6.3011344534 |
| Technology | 32 | 0.9776551235 | 5.9733882355 |
| Technology | 33 | 0.9769948705 | 6.1957222496 |
| Technology | 34 | 0.9786490306 | 5.8157738160 |
| Technology | 35 | 0.9762092322 | 6.5514749379 |
| Technology | 36 | 0.9779296189 | 6.0677271995 |
| Technology | 37 | 0.9773644121 | 6.1450850594 |
| Technology | 38 | 0.9786612445 | 5.8038880751 |
| Technology | 39 | 0.9752232289 | 6.6098629110 |
| Technology | 40 | 0.9781892725 | 6.0231035600 |
| Technology | 41 | 0.9797806363 | 5.3807945390 |
| Technology | 42 | 0.9757236674 | 6.6483486212 |
| Technology | 43 | 0.9778051304 | 5.9647511894 |
| Technology | 44 | 0.9783511181 | 5.8919760362 |
| Technology | 45 | 0.9737903941 | 7.2044256796 |
| Technology | 46 | 0.9776366122 | 6.0774394442 |
| Technology | 47 | 0.9770220684 | 6.2371606995 |
| Technology | 48 | 0.9802340570 | 5.3673653329 |
| Technology | 49 | 0.9755941817 | 6.6411991248 |
| Technology | 50 | 0.9777124238 | 5.9891688025 |
| Technology | 51 | 0.9748438904 | 6.9230604286 |
| Technology | 52 | 0.9793725897 | 5.6201973279 |
| Technology | 53 | 0.9743476622 | 6.9479331538 |
| Technology | 54 | 0.9752200286 | 6.6927824338 |
| Technology | 55 | 0.9780470349 | 5.8911397386 |
| Technology | 56 | 0.9781210615 | 5.9426703832 |
| Technology | 57 | 0.9771629571 | 6.2092308415 |
| Technology | 58 | 0.9778389557 | 6.0482885382 |
| Technology | 59 | 0.9773062266 | 6.1570250059 |
| Technology | 60 | 0.9762369183 | 6.4041905200 |
| Technology | 61 | 0.9759930411 | 6.5789805520 |
| Technology | 62 | 0.9788700704 | 5.7148376549 |
| World role | 1 | 1.0142516689 | -3.2627792474 |
| World role | 2 | 1.0146579463 | -3.3170896040 |
| World role | 3 | 1.0137970925 | -3.0880034228 |
| World role | 4 | 1.0129184296 | -2.7632384352 |
| World role | 5 | 1.0110775796 | -2.5385040251 |
| World role | 6 | 1.0145092394 | -3.4192678617 |
| World role | 7 | 1.0145864578 | -3.1958492894 |
| World role | 8 | 1.0110250821 | -2.3458542155 |
| World role | 9 | 1.0132806545 | -2.9660564416 |
| World role | 10 | 1.0139478966 | -3.1376248122 |
| World role | 11 | 1.0118021379 | -2.5098185798 |
| World role | 12 | 1.0117941502 | -2.5970431129 |
| World role | 13 | 1.0166810404 | -3.7781609871 |
| World role | 14 | 1.0143245061 | -3.2073839981 |
| World role | 15 | 1.0138991419 | -3.1596473111 |
| World role | 16 | 1.0120740963 | -2.6410290337 |
| World role | 17 | 1.0131319878 | -3.0822916018 |
| World role | 18 | 1.0127909613 | -2.8498286504 |
| World role | 19 | 1.0142654915 | -3.2722749655 |
| World role | 20 | 1.0152591878 | -3.4394267389 |
| World role | 21 | 1.0134055653 | -3.0817794056 |
| World role | 22 | 1.0129435786 | -2.9456446010 |
| World role | 23 | 1.0114613984 | -2.3263697507 |
| World role | 24 | 1.0153034794 | -3.3549638889 |
| World role | 25 | 1.0140242294 | -3.1935424980 |
| World role | 26 | 1.0143780249 | -3.2443915904 |
| World role | 27 | 1.0081927455 | -1.8194363377 |
| World role | 28 | 1.0126994926 | -2.6777173016 |
| World role | 29 | 1.0114967761 | -2.5392069004 |
| World role | 30 | 1.0118873977 | -2.5284003897 |
| World role | 31 | 1.0148950196 | -3.4043076554 |
| World role | 32 | 1.0146728698 | -3.5351031494 |
| World role | 33 | 1.0138609227 | -3.0898388307 |
| World role | 34 | 1.0119345964 | -2.4292798833 |
| World role | 35 | 1.0127049337 | -2.6088566423 |
| World role | 36 | 1.0146597194 | -3.1978189359 |
| World role | 37 | 1.0125132689 | -2.7375031460 |
| World role | 38 | 1.0143769275 | -3.1936070041 |
| World role | 39 | 1.0117887815 | -2.4171566801 |
| World role | 40 | 1.0174327451 | -3.9119158427 |
| World role | 41 | 1.0152579169 | -3.4651897585 |
| World role | 42 | 1.0123092826 | -2.6686449092 |
| World role | 43 | 1.0142104114 | -3.2832908279 |
| World role | 44 | 1.0167047574 | -3.8138048471 |
| World role | 45 | 1.0084248817 | -1.4735027574 |
| World role | 46 | 1.0111491040 | -2.4269713076 |
| World role | 47 | 1.0154167721 | -3.4725391115 |
| World role | 48 | 1.0150702270 | -3.4360252455 |
| World role | 49 | 1.0114134426 | -2.5649111670 |
| World role | 50 | 1.0120073685 | -2.5476624964 |
| World role | 51 | 1.0105462683 | -2.1248314875 |
| World role | 52 | 1.0149720154 | -3.3420503047 |
| World role | 53 | 1.0115746608 | -2.5212305696 |
| World role | 54 | 1.0137744087 | -3.0601483731 |
| World role | 55 | 1.0127821521 | -2.7895481641 |
| World role | 56 | 1.0138507845 | -3.1497008329 |
| World role | 57 | 1.0153436532 | -3.3752676314 |
| World role | 58 | 1.0124237848 | -2.6822963415 |
| World role | 59 | 1.0133713522 | -2.9502734652 |
| World role | 60 | 1.0137684014 | -3.1154381531 |
| World role | 61 | 1.0116968755 | -2.4141020077 |
| World role | 62 | 1.013481467 | -2.999091107 |
| NOTE: In 2018, grades 4 and 12 were not assessed. SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2018 U.S. History Assessment. | |||
| Replicate | Subscale | DBA plausible value | Bridge PBA plausible value | A | B |
|---|---|---|---|---|---|
| 1 | Democracy | 1 | 1 | 1.0036591471 | -0.4818923531 |
| 1 | Democracy | 2 | 2 | 0.9809699513 | 5.6187577758 |
| 1 | Democracy | 3 | 3 | 0.9882966353 | 2.9078196075 |
| 1 | Democracy | 4 | 4 | 1.0056717066 | -1.5862137386 |
| 1 | Democracy | 5 | 5 | 1.0182559955 | -4.5782885867 |
| 1 | Democracy | 6 | 6 | 1.0059199941 | -1.9257198943 |
| 1 | Democracy | 7 | 7 | 0.9773699230 | 5.0215489153 |
| 1 | Democracy | 8 | 8 | 1.0081505718 | -2.0578801858 |
| 1 | Democracy | 9 | 9 | 0.9888268653 | 3.3900842341 |
| 1 | Democracy | 10 | 10 | 0.9922951307 | 1.8391382194 |
| 1 | Democracy | 11 | 11 | 0.9942756262 | 1.4854815646 |
| 1 | Democracy | 12 | 12 | 1.0044742200 | -1.6634380050 |
| 1 | Democracy | 13 | 13 | 0.9978260735 | 0.8403249287 |
| 1 | Democracy | 14 | 14 | 1.0044065953 | -0.6919194180 |
| 1 | Democracy | 15 | 15 | 1.0214991738 | -6.3666034990 |
| 1 | Democracy | 16 | 16 | 1.0104020389 | -2.7085401726 |
| 1 | Democracy | 17 | 17 | 1.0140071778 | -3.8509291477 |
| 1 | Democracy | 18 | 18 | 0.9889212710 | 3.4722098643 |
| 1 | Democracy | 19 | 19 | 1.0080562448 | -2.7528952940 |
| 1 | Democracy | 20 | 20 | 0.9889187297 | 3.4981191712 |
| 1 | Cultures | 1 | 1 | 1.0047610216 | -1.8874106207 |
| 1 | Cultures | 2 | 2 | 0.9984803961 | 0.7366377484 |
| 1 | Cultures | 3 | 3 | 0.9874923019 | 3.8348808566 |
| 1 | Cultures | 4 | 4 | 1.0079457538 | -2.1092512100 |
| 1 | Cultures | 5 | 5 | 0.9993484636 | 0.4961057217 |
| 1 | Cultures | 6 | 6 | 1.0024150407 | -0.6310321457 |
| 1 | Cultures | 7 | 7 | 0.9943732630 | 1.7473131048 |
| 1 | Cultures | 8 | 8 | 1.0010853985 | -0.1491950993 |
| 1 | Cultures | 9 | 9 | 1.0148209717 | -4.9053701824 |
| 1 | Cultures | 10 | 10 | 0.9837291693 | 3.4300711329 |
| 1 | Cultures | 11 | 11 | 1.0060113177 | -1.5597512829 |
| 1 | Cultures | 12 | 12 | 1.0129558557 | -3.6349935069 |
| 1 | Cultures | 13 | 13 | 1.0004749088 | -0.1320402888 |
| 1 | Cultures | 14 | 14 | 1.0100196384 | -2.8390157411 |
| 1 | Cultures | 15 | 15 | 1.0110165978 | -2.9208082185 |
| 1 | Cultures | 16 | 16 | 0.9830657138 | 4.9429015126 |
| 1 | Cultures | 17 | 17 | 0.9973542109 | 0.7320544695 |
| 1 | Cultures | 18 | 18 | 1.0042836273 | -0.7094452394 |
| 1 | Cultures | 19 | 19 | 0.9869033011 | 3.5415702178 |
| 1 | Cultures | 20 | 20 | 0.9946876314 | 1.6879983288 |
| 1 | Technology | 1 | 1 | 0.9774197512 | 6.1225970771 |
| 1 | Technology | 2 | 2 | 0.9943527977 | 1.2384098497 |
| 1 | Technology | 3 | 3 | 0.9991915010 | 0.4852955010 |
| 1 | Technology | 4 | 4 | 0.9950453778 | 1.0121532477 |
| 1 | Technology | 5 | 5 | 1.0217677076 | -5.8160668728 |
| 1 | Technology | 6 | 6 | 0.9831359524 | 4.7903568207 |
| 1 | Technology | 7 | 7 | 0.9985842945 | 0.3475263175 |
| 1 | Technology | 8 | 8 | 1.0043401935 | -1.5575748680 |
| 1 | Technology | 9 | 9 | 0.9823380164 | 4.5674006197 |
| 1 | Technology | 10 | 10 | 1.0064869217 | -1.6813692319 |
| 1 | Technology | 11 | 11 | 0.9886491037 | 2.9552176974 |
| 1 | Technology | 12 | 12 | 1.0161310536 | -4.0439060747 |
| 1 | Technology | 13 | 13 | 1.0019719331 | -0.6427461553 |
| 1 | Technology | 14 | 14 | 1.0160051062 | -3.6862472700 |
| 1 | Technology | 15 | 15 | 0.9977977421 | 0.6856222980 |
| 1 | Technology | 16 | 16 | 1.0027607152 | -0.4478050434 |
| 1 | Technology | 17 | 17 | 1.0029427169 | -0.6996519048 |
| 1 | Technology | 18 | 18 | 1.0118765673 | -3.6192415720 |
| 1 | Technology | 19 | 19 | 0.9965436523 | 0.9589766920 |
| 1 | Technology | 20 | 20 | 1.0041836927 | -1.3542810352 |
| 1 | World role | 1 | 1 | 1.0138964944 | -3.1234278512 |
| 1 | World role | 2 | 2 | 0.9880952282 | 2.8205248918 |
| 1 | World role | 3 | 3 | 0.9860406070 | 3.5699476856 |
| 1 | World role | 4 | 4 | 1.0061870112 | -1.6286429231 |
| 1 | World role | 5 | 5 | 1.0032424436 | -0.0426243604 |
| 1 | World role | 6 | 6 | 1.0090159170 | -2.6703554375 |
| 1 | World role | 7 | 7 | 1.0188726432 | -4.7644888209 |
| 1 | World role | 8 | 8 | 0.9874636608 | 2.2087436455 |
| 1 | World role | 9 | 9 | 0.9777313370 | 6.6525036928 |
| 1 | World role | 10 | 10 | 1.0002225347 | 0.4646908374 |
| 1 | World role | 11 | 11 | 0.9934623182 | 1.8403888269 |
| 1 | World role | 12 | 12 | 1.0225633500 | -7.2917340283 |
| 1 | World role | 13 | 13 | 0.9879041195 | 3.7462907504 |
| 1 | World role | 14 | 14 | 1.0041663942 | -1.2758608259 |
| 1 | World role | 15 | 15 | 0.9966260250 | 0.8181873161 |
| 1 | World role | 16 | 16 | 1.0012636118 | -0.7513789043 |
| 1 | World role | 17 | 17 | 1.0028762632 | -0.4151730056 |
| 1 | World role | 18 | 18 | 1.0069588765 | -2.0247481423 |
| 1 | World role | 19 | 19 | 1.0051538654 | -1.3901598114 |
| 1 | World role | 20 | 20 | 0.9893415391 | 2.9352570060 |
| 2 | Democracy | 1 | 14 | 1.0105533108 | -2.2964231255 |
| 2 | Democracy | 2 | 11 | 0.9700657278 | 8.2157993869 |
| 2 | Democracy | 3 | 18 | 0.9839852380 | 4.2670797469 |
| 2 | Democracy | 4 | 15 | 1.0085739050 | -2.2975142403 |
| 2 | Democracy | 5 | 20 | 1.0020482052 | 0.0185386928 |
| 2 | Democracy | 6 | 17 | 1.0185737280 | -5.6032830190 |
| 2 | Democracy | 7 | 3 | 0.9760453768 | 6.3019161997 |
| 2 | Democracy | 8 | 16 | 1.0168233746 | -4.2385286051 |
| 2 | Democracy | 9 | 12 | 0.9932400026 | 1.6697470422 |
| 2 | Democracy | 10 | 6 | 0.9850143731 | 3.7310343758 |
| 2 | Democracy | 11 | 19 | 1.0101388077 | -3.2792378844 |
| 2 | Democracy | 12 | 2 | 1.0080416688 | -2.1597127899 |
| 2 | Democracy | 13 | 1 | 1.0008253189 | 0.6369788781 |
| 2 | Democracy | 14 | 13 | 0.9945649224 | 1.3135886858 |
| 2 | Democracy | 15 | 5 | 1.0244934359 | -6.5568074841 |
| 2 | Democracy | 16 | 7 | 0.9959981019 | 0.3017793360 |
| 2 | Democracy | 17 | 4 | 1.0105646326 | -2.7544520810 |
| 2 | Democracy | 18 | 9 | 0.9936065211 | 2.1331478000 |
| 2 | Democracy | 19 | 8 | 1.0021713264 | -0.5971734581 |
| 2 | Democracy | 20 | 10 | 0.9973612827 | 0.4727509493 |
| 2 | Cultures | 1 | 14 | 1.0063526775 | -2.0352752081 |
| 2 | Cultures | 2 | 11 | 0.9843723035 | 4.1609312136 |
| 2 | Cultures | 3 | 18 | 1.0032158638 | -0.1651522572 |
| 2 | Cultures | 4 | 15 | 1.0009848587 | -0.2600714971 |
| 2 | Cultures | 5 | 20 | 0.9993516117 | 0.6062055758 |
| 2 | Cultures | 6 | 17 | 0.9908390555 | 2.2188609038 |
| 2 | Cultures | 7 | 3 | 0.9749928793 | 6.7338266815 |
| 2 | Cultures | 8 | 16 | 0.9879949466 | 3.6527681022 |
| 2 | Cultures | 9 | 12 | 1.0164085773 | -4.5379735451 |
| 2 | Cultures | 10 | 6 | 0.9912044296 | 1.6670183839 |
| 2 | Cultures | 11 | 19 | 1.0136064679 | -3.4602387101 |
| 2 | Cultures | 12 | 2 | 1.0122640252 | -3.2003951859 |
| 2 | Cultures | 13 | 1 | 0.9941553230 | 1.4262675560 |
| 2 | Cultures | 14 | 13 | 1.0148324593 | -4.2743530705 |
| 2 | Cultures | 15 | 5 | 1.0067614507 | -1.9757819857 |
| 2 | Cultures | 16 | 7 | 1.0039411362 | -0.6268358523 |
| 2 | Cultures | 17 | 4 | 1.0113641122 | -2.6946914644 |
| 2 | Cultures | 18 | 9 | 1.0075681034 | -2.7166225174 |
| 2 | Cultures | 19 | 8 | 0.9855214431 | 3.9015568856 |
| 2 | Cultures | 20 | 10 | 0.9959220963 | 1.1414529251 |
| 2 | Technology | 1 | 14 | 0.9954947763 | 1.7727138735 |
| 2 | Technology | 2 | 11 | 0.9967466964 | 0.8262513489 |
| 2 | Technology | 3 | 18 | 1.0114808449 | -3.4394403649 |
| 2 | Technology | 4 | 15 | 0.9972143417 | 0.5049409469 |
| 2 | Technology | 5 | 20 | 1.0021512828 | -0.4476490250 |
| 2 | Technology | 6 | 17 | 0.9890634600 | 2.7280459948 |
| 2 | Technology | 7 | 3 | 0.9833783340 | 4.7701183134 |
| 2 | Technology | 8 | 16 | 0.9900457397 | 2.8552491114 |
| 2 | Technology | 9 | 12 | 0.9871838618 | 3.3343801363 |
| 2 | Technology | 10 | 6 | 0.9871103091 | 3.9700777877 |
| 2 | Technology | 11 | 19 | 0.9927010452 | 1.9247101313 |
| 2 | Technology | 12 | 2 | 1.0079961631 | -1.8775068591 |
| 2 | Technology | 13 | 1 | 0.9861691078 | 3.7888861346 |
| 2 | Technology | 14 | 13 | 1.0135429995 | -3.7173710879 |
| 2 | Technology | 15 | 5 | 1.0111583076 | -3.1238791481 |
| 2 | Technology | 16 | 7 | 1.0235252764 | -6.3065212701 |
| 2 | Technology | 17 | 4 | 1.0065677210 | -1.8077087192 |
| 2 | Technology | 18 | 9 | 0.9997952005 | -0.0638225727 |
| 2 | Technology | 19 | 8 | 1.0021331959 | -1.2016812827 |
| 2 | Technology | 20 | 10 | 1.0180633023 | -4.8854280801 |
| 2 | World role | 1 | 14 | 1.0077021437 | -1.9910395252 |
| 2 | World role | 2 | 11 | 0.9866247641 | 3.7168184683 |
| 2 | World role | 3 | 18 | 1.0017037875 | -0.4420655018 |
| 2 | World role | 4 | 15 | 1.0016876780 | -0.2475522701 |
| 2 | World role | 5 | 20 | 0.9881408185 | 2.9566391296 |
| 2 | World role | 6 | 17 | 1.0204088663 | -5.6790161436 |
| 2 | World role | 7 | 3 | 0.9803683184 | 5.3761346631 |
| 2 | World role | 8 | 16 | 0.9900145708 | 2.3577212032 |
| 2 | World role | 9 | 12 | 0.9852888742 | 3.5625095955 |
| 2 | World role | 10 | 6 | 0.9912928529 | 2.4811254285 |
| 2 | World role | 11 | 19 | 1.0166886534 | -4.5169288195 |
| 2 | World role | 12 | 2 | 1.0087454970 | -3.4404752975 |
| 2 | World role | 13 | 1 | 0.9927529389 | 3.3731626620 |
| 2 | World role | 14 | 13 | 1.0054042971 | -2.0025086666 |
| 2 | World role | 15 | 5 | 1.0045435607 | -0.6556475837 |
| 2 | World role | 16 | 7 | 1.0330702456 | -9.1695443649 |
| 2 | World role | 17 | 4 | 0.9893822649 | 3.0840573113 |
| 2 | World role | 18 | 9 | 1.0040928657 | -1.1388043745 |
| 2 | World role | 19 | 8 | 0.9813624048 | 4.4553002631 |
| 2 | World role | 20 | 10 | 1.0123829238 | -2.5687718481 |
| 3 | Democracy | 1 | 6 | 0.9932887389 | 1.6654130161 |
| 3 | Democracy | 2 | 4 | 0.9819368936 | 4.8980261262 |
| 3 | Democracy | 3 | 3 | 0.9882966353 | 2.9078196075 |
| 3 | Democracy | 4 | 9 | 0.9966776597 | 1.3619637525 |
| 3 | Democracy | 5 | 11 | 1.0001195197 | -0.2550986012 |
| 3 | Democracy | 6 | 10 | 1.0133552760 | -3.8594280869 |
| 3 | Democracy | 7 | 2 | 0.9842323254 | 4.1458951063 |
| 3 | Democracy | 8 | 17 | 1.0138023187 | -3.9509623009 |
| 3 | Democracy | 9 | 19 | 1.0014138924 | -0.8956547559 |
| 3 | Democracy | 10 | 13 | 0.9923157105 | 1.8057393066 |
| 3 | Democracy | 11 | 7 | 0.9984416328 | -0.2743755127 |
| 3 | Democracy | 12 | 8 | 1.0068282971 | -2.0917719512 |
| 3 | Democracy | 13 | 15 | 1.0024232690 | -0.4654911046 |
| 3 | Democracy | 14 | 18 | 0.9827062333 | 4.9741604445 |
| 3 | Democracy | 15 | 20 | 1.0081863629 | -1.9284877120 |
| 3 | Democracy | 16 | 12 | 0.9994417227 | -0.1162335691 |
| 3 | Democracy | 17 | 5 | 1.0164517097 | -3.6508346900 |
| 3 | Democracy | 18 | 16 | 1.0089859451 | -2.1793654946 |
| 3 | Democracy | 19 | 14 | 1.0125687961 | -2.8139563153 |
| 3 | Democracy | 20 | 1 | 1.0003798782 | 0.2347723261 |
| 3 | Cultures | 1 | 6 | 1.0095580811 | -2.8199981433 |
| 3 | Cultures | 2 | 4 | 0.9972693536 | 0.8214110224 |
| 3 | Cultures | 3 | 3 | 0.9874923019 | 3.8348808566 |
| 3 | Cultures | 4 | 9 | 1.0082821009 | -3.0018708175 |
| 3 | Cultures | 5 | 11 | 0.9974823519 | 1.0908505468 |
| 3 | Cultures | 6 | 10 | 0.9948552345 | 1.1493515649 |
| 3 | Cultures | 7 | 2 | 0.9946317434 | 1.5918079350 |
| 3 | Cultures | 8 | 17 | 0.9940497449 | 1.4046822141 |
| 3 | Cultures | 9 | 19 | 1.0089228421 | -2.5034041611 |
| 3 | Cultures | 10 | 13 | 0.9927654686 | 1.0273004367 |
| 3 | Cultures | 11 | 7 | 1.0201643575 | -4.9087985894 |
| 3 | Cultures | 12 | 8 | 1.0040876586 | -1.2398786904 |
| 3 | Cultures | 13 | 15 | 0.9943213780 | 1.7911138270 |
| 3 | Cultures | 14 | 18 | 1.0126315318 | -3.0676894040 |
| 3 | Cultures | 15 | 20 | 1.0067646222 | -1.8656899185 |
| 3 | Cultures | 16 | 12 | 1.0048884242 | -1.2159042928 |
| 3 | Cultures | 17 | 5 | 1.0001523963 | 0.0948060603 |
| 3 | Cultures | 18 | 16 | 0.9872292277 | 3.8375415201 |
| 3 | Cultures | 19 | 14 | 0.9868847182 | 3.3820206183 |
| 3 | Cultures | 20 | 1 | 0.9987217832 | 0.2832333480 |
| 3 | Technology | 1 | 6 | 0.9780776688 | 6.4790158083 |
| 3 | Technology | 2 | 4 | 0.9985123586 | 0.1044570873 |
| 3 | Technology | 3 | 3 | 0.9991915010 | 0.4852955010 |
| 3 | Technology | 4 | 9 | 0.9939938368 | 1.2577141069 |
| 3 | Technology | 5 | 11 | 1.0042949218 | -0.7338378453 |
| 3 | Technology | 6 | 10 | 1.0024345498 | -0.8449884230 |
| 3 | Technology | 7 | 2 | 0.9805264791 | 5.2743991920 |
| 3 | Technology | 8 | 17 | 0.9928352528 | 2.0188422621 |
| 3 | Technology | 9 | 19 | 0.9856615361 | 4.0177070543 |
| 3 | Technology | 10 | 13 | 1.0022535829 | -0.8190664362 |
| 3 | Technology | 11 | 7 | 1.0044383295 | -1.5998245976 |
| 3 | Technology | 12 | 8 | 1.0202547076 | -5.5340234228 |
| 3 | Technology | 13 | 15 | 0.9985428475 | 0.4722220304 |
| 3 | Technology | 14 | 18 | 1.0189784378 | -5.4058565578 |
| 3 | Technology | 15 | 20 | 0.9917455675 | 2.1928526877 |
| 3 | Technology | 16 | 12 | 1.0131272858 | -3.4207307138 |
| 3 | Technology | 17 | 5 | 1.0222691756 | -6.1708288394 |
| 3 | Technology | 18 | 16 | 0.9944465432 | 1.6317385381 |
| 3 | Technology | 19 | 14 | 1.0022518283 | -0.3075870642 |
| 3 | Technology | 20 | 1 | 0.9977921937 | 0.4750853129 |
| 3 | World role | 1 | 6 | 1.0076292617 | -2.1501124177 |
| 3 | World role | 2 | 4 | 0.9905273922 | 2.7046051081 |
| 3 | World role | 3 | 3 | 0.9860406070 | 3.5699476856 |
| 3 | World role | 4 | 9 | 1.0096610173 | -2.1686113318 |
| 3 | World role | 5 | 11 | 0.9958667770 | 1.0754684015 |
| 3 | World role | 6 | 10 | 1.0181052502 | -4.7331951699 |
| 3 | World role | 7 | 2 | 0.9872595884 | 2.9094297889 |
| 3 | World role | 8 | 17 | 1.0057392157 | -1.8882216215 |
| 3 | World role | 9 | 19 | 0.9932183910 | 1.9471259044 |
| 3 | World role | 10 | 13 | 0.9925866744 | 1.9187134586 |
| 3 | World role | 11 | 7 | 1.0268020575 | -6.7956415463 |
| 3 | World role | 12 | 8 | 1.0063945266 | -2.9690215844 |
| 3 | World role | 13 | 15 | 0.9799297234 | 6.2036715422 |
| 3 | World role | 14 | 18 | 1.0080962102 | -2.3005505804 |
| 3 | World role | 15 | 20 | 0.9894223502 | 2.3528436328 |
| 3 | World role | 16 | 12 | 1.0147286580 | -5.1816938154 |
| 3 | World role | 17 | 5 | 0.9927829186 | 2.9990447170 |
| 3 | World role | 18 | 16 | 0.9984272659 | 0.1294468345 |
| 3 | World role | 19 | 14 | 0.9884367490 | 3.5001723046 |
| 3 | World role | 20 | 1 | 1.0095852612 | -1.4884646071 |
| 4 | Democracy | 1 | 2 | 1.0013818923 | -0.1504768478 |
| 4 | Democracy | 2 | 14 | 0.9899544217 | 3.5256505454 |
| 4 | Democracy | 3 | 7 | 0.9896378071 | 1.6228463513 |
| 4 | Democracy | 4 | 9 | 0.9966776597 | 1.3619637525 |
| 4 | Democracy | 5 | 20 | 1.0020482052 | 0.0185386928 |
| 4 | Democracy | 6 | 13 | 1.0133762927 | -3.8929451860 |
| 4 | Democracy | 7 | 16 | 0.9915044628 | 2.0794858258 |
| 4 | Democracy | 8 | 8 | 1.0081505718 | -2.0578801858 |
| 4 | Democracy | 9 | 4 | 0.9977500664 | 0.4602085585 |
| 4 | Democracy | 10 | 11 | 0.9820017160 | 4.5699978490 |
| 4 | Democracy | 11 | 19 | 1.0101388077 | -3.2792378844 |
| 4 | Democracy | 12 | 1 | 1.0103340687 | -2.4956975232 |
| 4 | Democracy | 13 | 18 | 0.9859285001 | 4.5065396451 |
| 4 | Democracy | 14 | 10 | 0.9945442959 | 1.3469978054 |
| 4 | Democracy | 15 | 6 | 1.0093328981 | -3.0581054731 |
| 4 | Democracy | 16 | 12 | 0.9994417227 | -0.1162335691 |
| 4 | Democracy | 17 | 15 | 1.0134809510 | -3.4691239208 |
| 4 | Democracy | 18 | 3 | 0.9932542959 | 2.1094669491 |
| 4 | Democracy | 19 | 5 | 1.0102190959 | -2.2786723103 |
| 4 | Democracy | 20 | 17 | 1.0024973708 | -1.2487946620 |
| 4 | Cultures | 1 | 2 | 1.0131460000 | -3.4709574384 |
| 4 | Cultures | 2 | 14 | 0.9917854090 | 2.1441073115 |
| 4 | Cultures | 3 | 7 | 1.0071211423 | -1.2092564048 |
| 4 | Cultures | 4 | 9 | 1.0082821009 | -3.0018708175 |
| 4 | Cultures | 5 | 20 | 0.9993516117 | 0.6062055758 |
| 4 | Cultures | 6 | 13 | 1.0039937351 | -1.2743692720 |
| 4 | Cultures | 7 | 16 | 0.9736967899 | 7.2676836687 |
| 4 | Cultures | 8 | 8 | 1.0010853985 | -0.1491950993 |
| 4 | Cultures | 9 | 4 | 1.0144824434 | -4.0121155975 |
| 4 | Cultures | 10 | 11 | 0.9806720601 | 4.4521257654 |
| 4 | Cultures | 11 | 19 | 1.0136064679 | -3.4602387101 |
| 4 | Cultures | 12 | 1 | 1.0038863462 | -1.6190875900 |
| 4 | Cultures | 13 | 18 | 0.9983051194 | 1.0656396978 |
| 4 | Cultures | 14 | 10 | 1.0055953030 | -1.8233259341 |
| 4 | Cultures | 15 | 6 | 1.0156738743 | -4.2241270244 |
| 4 | Cultures | 16 | 12 | 1.0048884242 | -1.2159042928 |
| 4 | Cultures | 17 | 15 | 1.0043796098 | -0.8414686885 |
| 4 | Cultures | 18 | 3 | 0.9885433302 | 3.2991186649 |
| 4 | Cultures | 19 | 5 | 0.9813407282 | 4.8028890837 |
| 4 | Cultures | 20 | 17 | 0.9919016104 | 2.2109941504 |
| 4 | Technology | 1 | 2 | 0.9834173100 | 4.4578438764 |
| 4 | Technology | 2 | 14 | 1.0065645641 | -1.4862584097 |
| 4 | Technology | 3 | 7 | 1.0146419803 | -4.0035526288 |
| 4 | Technology | 4 | 9 | 0.9939938368 | 1.2577141069 |
| 4 | Technology | 5 | 20 | 1.0021512828 | -0.4476490250 |
| 4 | Technology | 6 | 13 | 0.9982182555 | 0.0137965095 |
| 4 | Technology | 7 | 16 | 0.9783257185 | 6.0712499056 |
| 4 | Technology | 8 | 8 | 1.0043401935 | -1.5575748680 |
| 4 | Technology | 9 | 4 | 0.9833772269 | 4.3253410612 |
| 4 | Technology | 10 | 11 | 0.9948886987 | 1.5247277931 |
| 4 | Technology | 11 | 19 | 0.9927010452 | 1.9247101313 |
| 4 | Technology | 12 | 1 | 1.0018487055 | -0.1741163086 |
| 4 | Technology | 13 | 18 | 1.0073453179 | -2.3147429966 |
| 4 | Technology | 14 | 10 | 1.0178240228 | -4.5919158010 |
| 4 | Technology | 15 | 6 | 0.9860965472 | 4.3546317242 |
| 4 | Technology | 16 | 12 | 1.0131272858 | -3.4207307138 |
| 4 | Technology | 17 | 15 | 1.0087618008 | -2.3210676530 |
| 4 | Technology | 18 | 3 | 0.9995824155 | 0.3076788522 |
| 4 | Technology | 19 | 5 | 1.0097431862 | -3.0413537936 |
| 4 | Technology | 20 | 17 | 1.0044837465 | -1.2584997881 |
| 4 | World role | 1 | 2 | 1.0028270921 | -1.4634564906 |
| 4 | World role | 2 | 14 | 0.9928986636 | 2.3137676113 |
| 4 | World role | 3 | 7 | 1.0247677130 | -6.6416144535 |
| 4 | World role | 4 | 9 | 1.0096610173 | -2.1686113318 |
| 4 | World role | 5 | 20 | 0.9881408185 | 2.9566391296 |
| 4 | World role | 6 | 13 | 1.0103328704 | -3.2394910479 |
| 4 | World role | 7 | 16 | 0.9875031316 | 3.5180517980 |
| 4 | World role | 8 | 8 | 0.9874636608 | 2.2087436455 |
| 4 | World role | 9 | 4 | 0.9743671935 | 7.1621207200 |
| 4 | World role | 10 | 11 | 0.9851003474 | 4.0415193984 |
| 4 | World role | 11 | 19 | 1.0166886534 | -4.5169288195 |
| 4 | World role | 12 | 1 | 1.0198802278 | -5.1222693798 |
| 4 | World role | 13 | 18 | 0.9905491769 | 3.4636409218 |
| 4 | World role | 14 | 10 | 1.0131387619 | -3.4866968190 |
| 4 | World role | 15 | 6 | 1.0034266326 | -1.1159122783 |
| 4 | World role | 16 | 12 | 1.0147286580 | -5.1816938154 |
| 4 | World role | 17 | 15 | 0.9849580770 | 4.4440743384 |
| 4 | World role | 18 | 3 | 0.9912135246 | 2.0120127241 |
| 4 | World role | 19 | 5 | 0.9894654236 | 3.8059276752 |
| 4 | World role | 20 | 17 | 1.0146735923 | -3.5096954887 |
| 5 | Democracy | 1 | 19 | 1.0060497416 | -2.2376685104 |
| 5 | Democracy | 2 | 10 | 0.9802340286 | 5.5231553190 |
| 5 | Democracy | 3 | 13 | 0.9958593613 | 0.5979753770 |
| 5 | Democracy | 4 | 8 | 1.0034720650 | -0.7927215685 |
| 5 | Democracy | 5 | 17 | 1.0158071244 | -4.7761525492 |
| 5 | Democracy | 6 | 12 | 1.0105271189 | -3.2688930668 |
| 5 | Democracy | 7 | 1 | 0.9864705802 | 3.8242500330 |
| 5 | Democracy | 8 | 11 | 0.9981456752 | 0.5573478318 |
| 5 | Democracy | 9 | 5 | 1.0035624919 | -0.4174469403 |
| 5 | Democracy | 10 | 6 | 0.9850143731 | 3.7310343758 |
| 5 | Democracy | 11 | 18 | 0.9927387784 | 2.3806943501 |
| 5 | Democracy | 12 | 9 | 1.0000111671 | 0.0717091052 |
| 5 | Democracy | 13 | 15 | 1.0024232690 | -0.4654911046 |
| 5 | Democracy | 14 | 2 | 0.9952909622 | 1.4394649610 |
| 5 | Democracy | 15 | 3 | 1.0090926318 | -2.6811121588 |
| 5 | Democracy | 16 | 7 | 0.9959981019 | 0.3017793360 |
| 5 | Democracy | 17 | 14 | 1.0188159065 | -4.1893102504 |
| 5 | Democracy | 18 | 20 | 0.9923622514 | 2.8577889632 |
| 5 | Democracy | 19 | 16 | 1.0107926916 | -2.7652558762 |
| 5 | Democracy | 20 | 4 | 0.9990939012 | -0.1611518184 |
| 5 | Cultures | 1 | 19 | 1.0063716269 | -1.8758276151 |
| 5 | Cultures | 2 | 10 | 0.9874409477 | 3.1379688224 |
| 5 | Cultures | 3 | 13 | 1.0053963266 | -1.3655073370 |
| 5 | Cultures | 4 | 8 | 1.0010183879 | -0.2451668811 |
| 5 | Cultures | 5 | 17 | 0.9965525274 | 1.1322313911 |
| 5 | Cultures | 6 | 12 | 1.0066651076 | -1.7074938391 |
| 5 | Cultures | 7 | 1 | 0.9863999923 | 3.1334543965 |
| 5 | Cultures | 8 | 11 | 0.9949772342 | 1.3635555776 |
| 5 | Cultures | 9 | 5 | 1.0032361585 | -1.2080134562 |
| 5 | Cultures | 10 | 6 | 0.9912044296 | 1.6670183839 |
| 5 | Cultures | 11 | 18 | 1.0162085018 | -3.8503488560 |
| 5 | Cultures | 12 | 9 | 1.0113736432 | -4.0038005772 |
| 5 | Cultures | 13 | 15 | 0.9943213780 | 1.7911138270 |
| 5 | Cultures | 14 | 2 | 1.0168377145 | -4.2801235730 |
| 5 | Cultures | 15 | 3 | 0.9991579183 | 0.3897286727 |
| 5 | Cultures | 16 | 7 | 1.0039411362 | -0.6268358523 |
| 5 | Cultures | 17 | 14 | 1.0058026610 | -1.3526602672 |
| 5 | Cultures | 18 | 20 | 0.9960692240 | 1.0658495937 |
| 5 | Cultures | 19 | 16 | 0.9726345095 | 7.6505514051 |
| 5 | Cultures | 20 | 4 | 1.0058349186 | -1.1949770190 |
| 5 | Technology | 1 | 19 | 0.9898250841 | 3.0274295856 |
| 5 | Technology | 2 | 10 | 1.0083665796 | -2.3879883815 |
| 5 | Technology | 3 | 13 | 1.0060854003 | -1.7614441590 |
| 5 | Technology | 4 | 8 | 1.0029508957 | -1.4653054147 |
| 5 | Technology | 5 | 17 | 1.0024507293 | -0.3515968728 |
| 5 | Technology | 6 | 12 | 0.9964807837 | 0.6309928079 |
| 5 | Technology | 7 | 1 | 0.9745465506 | 6.9341724737 |
| 5 | Technology | 8 | 11 | 0.9946617559 | 1.6409621484 |
| 5 | Technology | 9 | 5 | 0.9987169329 | 0.0578904136 |
| 5 | Technology | 10 | 6 | 0.9871103091 | 3.9700777877 |
| 5 | Technology | 11 | 18 | 1.0013089838 | -1.0432011916 |
| 5 | Technology | 12 | 9 | 1.0111431135 | -2.7746673796 |
| 5 | Technology | 13 | 15 | 0.9985428475 | 0.4722220304 |
| 5 | Technology | 14 | 2 | 1.0036788060 | -0.9348884725 |
| 5 | Technology | 15 | 3 | 0.9943636791 | 1.8089937815 |
| 5 | Technology | 16 | 7 | 1.0235252764 | -6.3065212701 |
| 5 | Technology | 17 | 14 | 1.0146848865 | -3.4138443078 |
| 5 | Technology | 18 | 20 | 0.9969505633 | 0.6954906481 |
| 5 | Technology | 19 | 16 | 0.9878701537 | 3.2060773768 |
| 5 | Technology | 20 | 4 | 1.0081143205 | -2.3685764844 |
| 5 | World role | 1 | 19 | 1.0247450896 | -6.9742427605 |
| 5 | World role | 2 | 10 | 1.0017703526 | 0.1350054523 |
| 5 | World role | 3 | 13 | 0.9990289440 | -0.1489862893 |
| 5 | World role | 4 | 8 | 1.0013771465 | -1.0351470621 |
| 5 | World role | 5 | 17 | 1.0134421273 | -3.4877658767 |
| 5 | World role | 6 | 12 | 1.0179628250 | -5.8124899018 |
| 5 | World role | 7 | 1 | 0.9981571535 | 1.2977272054 |
| 5 | World role | 8 | 11 | 0.9882974511 | 2.6472729863 |
| 5 | World role | 9 | 5 | 0.9777162381 | 7.0911250346 |
| 5 | World role | 10 | 6 | 0.9912928529 | 2.4811254285 |
| 5 | World role | 11 | 18 | 1.0036923460 | -0.5926259852 |
| 5 | World role | 12 | 9 | 1.0147199035 | -4.1184837892 |
| 5 | World role | 13 | 15 | 0.9799297234 | 6.2036715422 |
| 5 | World role | 14 | 2 | 0.9993084478 | -0.7517376759 |
| 5 | World role | 15 | 3 | 0.9916737529 | 2.0558588246 |
| 5 | World role | 16 | 7 | 1.0330702456 | -9.1695443649 |
| 5 | World role | 17 | 14 | 0.9917507950 | 2.6941282034 |
| 5 | World role | 18 | 20 | 0.9889631667 | 2.3090970764 |
| 5 | World role | 19 | 16 | 0.9838975534 | 4.6100813393 |
| 5 | World role | 20 | 4 | 1.0010208575 | 0.0311725480 |
| NOTE: DBA = Digitally based assessment. PBA = Paper-based assessment. In 2018, grades 4 and 12 were not assessed. SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2018 U.S. History Assessment. | |||||
Last updated 02 November 2022 (SK)