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​​​NAEP Technical Documentation Transformation Coefficients Used for Variance Calculation, Reading National Assessment: 2019

Transformation coefficients for sampling variance calculation, grade 12 reading national assessment: 2019
SubscaleIndexAB
Literary11.0043134714-0.6351706873
Literary21.0051201614-0.8841159688
Literary31.0037232868-0.4980814286
Literary41.0058882087-1.1684430415
Literary51.0044190847-0.6380403697
Literary61.0057911880-1.1935354273
Literary71.0049093275-0.9464255023
Literary81.0058187812-1.0454987354
Literary91.0054323325-0.8494980328
Literary101.0054941677-1.1127722347
Literary111.0054506886-0.9160199015
Literary121.0046052866-0.8997774566
Literary131.0086800555-1.9752037947
Literary141.0036103711-0.2230246872
Literary151.0055892136-0.8254410675
Literary161.0042883469-0.6176353170
Literary171.0050003234-0.6784320381
Literary181.0055923266-0.8544010850
Literary191.0059539267-1.2453706201
Literary201.0053887586-0.9366737066
Literary211.0043419813-0.5780821064
Literary221.0055640161-0.9646518474
Literary231.0058177525-1.0364095030
Literary241.0059740091-1.2079168813
Literary251.0025445939-0.1125803400
Literary261.0050176516-0.7674577889
Literary271.0046180422-0.7069840575
Literary281.0040547911-0.6332640440
Literary291.0065070042-1.0105427041
Literary301.0052561385-0.8765634029
Literary311.0053862754-0.8436595313
Literary321.0080512389-1.7942353186
Literary331.0071379084-1.3155453025
Literary341.0061794125-1.2105813497
Literary351.0038988644-0.3704877193
Literary361.0035883375-0.5472799997
Literary371.0062745306-1.0937548872
Literary381.0066427624-1.2815857523
Literary391.0069438043-1.2956195864
Literary401.0045994693-0.9173580665
Literary411.0053582833-0.9483431661
Literary421.0053391421-1.0082376382
Literary431.0053148632-0.8746970620
Literary441.0028368335-0.1158634369
Literary451.0056915762-0.9358997943
Literary461.0056047757-1.1421424174
Literary471.0050550712-0.9344019089
Literary481.0056311792-0.8942595664
Literary491.0072452719-1.5274782428
Literary501.0047759439-0.6477501436
Literary511.0045334506-0.7237533423
Literary521.0051634501-0.6986182606
Literary531.0055230096-1.0243437996
Literary541.0040297682-0.4550612233
Literary551.0064375076-1.3296737018
Literary561.0050317972-0.9948001860
Literary571.0056217897-0.8063373787
Literary581.0044961001-0.7057504893
Literary591.0052775256-0.7455621245
Literary601.0038529707-0.5444584262
Literary611.0046823951-0.7129065692
Literary621.0051762893-0.9131110419
Informational10.98890760523.8654224576
Informational20.99121973453.1410893999
Informational30.98932640553.6155935438
Informational40.99150839132.9617129234
Informational50.98944539673.6856625109
Informational60.99082989563.1363512819
Informational70.98894693363.6662165144
Informational80.98943603573.5981049215
Informational90.99022561253.4073970542
Informational100.98965629733.4344934396
Informational110.98957307433.6063197584
Informational120.98870318463.8059406687
Informational130.99173593742.8107151718
Informational140.98921659113.7998903260
Informational150.99124564903.2486027342
Informational160.98890009383.7792682308
Informational170.99023409373.4907803176
Informational180.99036302033.4197622915
Informational190.99034644263.2868909320
Informational200.98815969664.0292670280
Informational210.98854561933.9197350769
Informational220.99089611013.1846437872
Informational230.99028355723.3775088407
Informational240.98992207513.4139799697
Informational250.98705125404.3377800550
Informational260.98849076873.9496613419
Informational270.98959861323.5642648097
Informational280.98885497033.8091304698
Informational290.99173493203.0055773101
Informational300.98989722333.5248082800
Informational310.98797277854.1338085571
Informational320.99082248393.2060615258
Informational330.99075915203.2966795716
Informational340.99063949233.2996191486
Informational350.98882544093.8545166184
Informational360.98919349223.6093542819
Informational370.99135521813.0725781077
Informational380.99119744783.1391424354
Informational390.99111567563.1949585998
Informational400.98925267653.6071441750
Informational410.99095049753.2250359600
Informational420.98866833223.8695593009
Informational430.99101782723.2116973244
Informational440.98833384594.0089433646
Informational450.98992576953.5564715404
Informational460.98982589723.5007935660
Informational470.98783935994.0048261366
Informational480.99163081143.0690278683
Informational490.99205350232.8563212584
Informational500.98910486983.7846513308
Informational510.98982189343.5397899672
Informational520.99066648713.3036445308
Informational530.98969389793.5510844586
Informational540.98900082463.8078995919
Informational550.99038089223.3391669894
Informational560.98944612663.5763936027
Informational570.98945664323.7117216742
Informational580.98978165883.5279675446
Informational590.98996554463.5394923614
Informational600.98911133773.6755274682
Informational610.98874112433.8004917877
Informational620.98933982143.6183683130
SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2019 Reading Assessment.

Transformation coefficients for measurement variance calculation, grade 12 reading national assessment: 2019
ReplicateSubscaleDBA plausible valueBridge PBA plausible valueAB
1Literary111.0051873538-0.8901817295
1 Literary220.98969551552.2493462925
1 Literary330.99340384791.7567816969
1 Literary441.0078963041-2.2986711290
1 Literary550.98371537625.2246553277
1 Literary661.0110069487-3.6653813393
1 Literary771.0160081180-4.4150012873
1 Literary881.0062144950-1.0053597616
1 Literary990.99962968970.8370985665
1 Literary10101.0057455260-1.4197067082
1 Literary11110.99701079370.4856828920
1 Literary12121.0005393485-0.6507389040
1 Literary13130.99611438200.7218646384
1 Literary14141.0159764391-5.3228899350
1 Literary15150.98401171574.0763201499
1 Literary16160.98876241653.1902238667
1 Literary17170.99748905030.9633625410
1 Literary18180.99690024851.3695104443
1 Literary19191.0081284053-2.3944969892
1 Literary20200.99717590491.0166193467
1 Informational110.98976596353.5358332509
1 Informational220.99599395531.0520184581
1 Informational330.99557301591.4318430473
1 Informational441.0104155004-2.8771610862
1 Informational551.0049067828-1.6878683656
1 Informational661.0046479824-1.6891999352
1 Informational770.99993735570.0580196273
1 Informational880.99718722420.6359024800
1 Informational991.0088646388-2.6433807226
1 Informational10100.99929465520.1046859629
1 Informational11110.99860680230.0711693490
1 Informational12120.99423971391.6244479413
1 Informational13131.0032226134-0.8155877825
1 Informational14141.0018178103-0.4430172400
1 Informational15151.0002701537-0.0481363128
1 Informational16161.0039622215-1.1220848312
1 Informational17170.99499111161.1945787952
1 Informational18181.0026619482-0.3776354942
1 Informational19191.0019438498-0.5973702044
1 Informational20200.99184803342.5444674333
2 Literary1141.0018921824-0.1799649965
2 Literary2110.99680656860.4043943919
2 Literary3180.99023361082.6419454735
2 Literary4150.98165243775.0955427609
2 Literary5200.98992764683.1195784746
2 Literary6171.0034675946-1.0929239517
2 Literary731.0088336464-2.0313499671
2 Literary8160.99265648742.0422855777
2 Literary9121.0022408874-0.6679078962
2 Literary1061.0020346215-0.6174709746
2 Literary11191.0058085103-1.8410974431
2 Literary1220.98973345282.2549664738
2 Literary1311.0019826743-0.7690124296
2 Literary14131.0133481134-4.5282152308
2 Literary1550.99540320582.0721508730
2 Literary1671.0019918494-0.3619835666
2 Literary1741.0150461983-4.5794643607
2 Literary1891.00086258470.4946918009
2 Literary1981.0070162077-1.4803637374
2 Literary20100.9994834753-0.1009559910
2 Informational1141.00110791320.1285213951
2 Informational2110.99310302652.0294945547
2 Informational3181.0015998805-0.5350766498
2 Informational4151.0079726927-2.1566436043
2 Informational5200.99696311340.8079294542
2 Informational6170.9997968756-0.3283800113
2 Informational730.98569580724.3931193135
2 Informational8161.00042423480.0278970660
2 Informational9121.0065659006-2.1864503532
2 Informational1061.0004240817-0.3922323485
2 Informational11191.0010584787-0.5088153991
2 Informational1220.99439818751.5261634303
2 Informational1310.98585934024.3799531878
2 Informational14131.0079122570-2.2495901590
2 Informational1551.0019217946-0.7582673112
2 Informational1671.0092671634-2.7213048608
2 Informational1741.0049256166-1.5238768231
2 Informational1891.0066246344-1.4854431182
2 Informational1981.0003725511-0.4467863456
2 Informational20100.99431363851.9097279421
3 Literary160.99662746261.1543616834
3 Literary241.0095422446-3.2855335173
3 Literary330.99340384791.7567816969
3 Literary490.99626738251.8240322396
3 Literary5110.98585987633.5049147828
3 Literary6101.0147510809-4.4789046112
3 Literary721.0013160558-0.5945175101
3 Literary8170.99378044862.2389916418
3 Literary9191.0073512450-1.9346492642
3 Literary10131.0047219529-1.1751795029
3 Literary1171.0044228158-1.4475173575
3 Literary1281.0045315767-1.0037858323
3 Literary13150.97727058355.6955708360
3 Literary14181.0049852592-1.9066138993
3 Literary15201.0016892864-0.0528343920
3 Literary16120.99828400830.5066861358
3 Literary1751.00006095480.8560509763
3 Literary18160.99390588041.6868062684
3 Literary19141.0073381121-2.1256418168
3 Literary2011.0043484230-1.3520627195
3 Informational161.0016406689-0.3926417222
3 Informational241.0031132906-0.8885038644
3 Informational330.99557301591.4318430473
3 Informational491.0053752438-1.2776685779
3 Informational5110.99564569041.2321735918
3 Informational6101.0035137873-1.1908174152
3 Informational720.99347194701.6970504125
3 Informational8170.99640146590.8586500846
3 Informational9191.0062686953-1.8815259462
3 Informational10131.0059747043-1.6741629874
3 Informational1171.0080314966-2.5680176975
3 Informational1280.99238739192.0748701762
3 Informational13151.0003586488-0.1845125752
3 Informational14180.99849879340.3680172399
3 Informational15200.99400172121.7301821222
3 Informational16121.0025816268-0.9656061371
3 Informational1751.0041513977-1.5180144986
3 Informational18161.0057140039-1.1877201080
3 Informational19141.0039001167-1.0616986087
3 Informational2010.98363627095.3218964333
4 Literary120.98681749283.7018109530
4 Literary2141.0048141700-1.6546176037
4 Literary371.0004685882-0.5999297574
4 Literary490.99626738251.8240322396
4 Literary5200.98992764683.1195784746
4 Literary6131.0137183427-4.2312639816
4 Literary7161.0025936264-0.8092813169
4 Literary881.0062144950-1.0053597616
4 Literary941.0112978579-3.2971247760
4 Literary10110.99930027090.1002974607
4 Literary11191.0058085103-1.8410974431
4 Literary1211.0081575951-2.3639595902
4 Literary13180.98789375253.3001386551
4 Literary14101.0143804745-4.7761583832
4 Literary1561.0003028102-0.3715595259
4 Literary16120.99828400830.5066861358
4 Literary17150.98861616102.8741374174
4 Literary1831.00009182890.4802729617
4 Literary1950.99713663831.6646252944
4 Literary20170.98836975643.2363442338
4 Informational120.99961149670.1878383864
4 Informational2140.99748495650.9939951427
4 Informational371.0099572726-2.9460418059
4 Informational491.0053752438-1.2776685779
4 Informational5200.99696311340.8079294542
4 Informational6131.0102220404-2.9783265001
4 Informational7160.99468145341.6426308838
4 Informational880.99718722420.6359024800
4 Informational941.0139223888-4.2497199678
4 Informational10110.99549946911.1682301732
4 Informational11191.0010584787-0.5088153991
4 Informational1210.98460400214.8609766501
4 Informational13180.99385294891.7886266557
4 Informational14101.0012193419-0.4669201566
4 Informational1560.99759891710.5976176012
4 Informational16121.0025816268-0.9656061371
4 Informational17151.0024960814-0.8066310776
4 Informational1830.99662869291.5883368419
4 Informational1951.0087868556-2.9488314097
4 Informational20170.99063080312.7606812452
5 Literary1191.0026782031-0.4472937150
5 Literary2101.0032357399-1.1136484223
5 Literary3130.99847371110.0581943877
5 Literary481.0028553638-0.0275633965
5 Literary5170.98118550835.3207319439
5 Literary6121.0119849481-4.0125032076
5 Literary711.0199558112-5.2664874500
5 Literary8110.99851481880.4084930694
5 Literary950.99636795162.1194592345
5 Literary1061.0020346215-0.6174709746
5 Literary11180.99414738601.8030288501
5 Literary1290.99793258400.8542228274
5 Literary13150.97727058355.6955708360
5 Literary1421.0006898346-1.3637324085
5 Literary1530.99789272480.7749893623
5 Literary1671.0019918494-0.3619835666
5 Literary17141.0102923465-2.9424884713
5 Literary18201.0038967571-0.3486720644
5 Literary19160.99344739771.5736819345
5 Literary2041.0057663926-2.2664751349
5 Informational1190.99915708740.5905304571
5 Informational2100.99688907640.9692337801
5 Informational3131.0110425801-3.1611980715
5 Informational481.0012156560-0.3688664922
5 Informational5170.99573960571.0262744058
5 Informational6121.0024529352-1.0073891921
5 Informational710.98368688455.0301805049
5 Informational8110.99630748821.0645650805
5 Informational951.0131412386-4.2417575883
5 Informational1061.0004240817-0.3922323485
5 Informational11180.9996900403-0.1601806891
5 Informational1290.99651030231.1762206856
5 Informational13151.0003586488-0.1845125752
5 Informational1421.0003203326-0.3828459352
5 Informational1530.98778530903.8762381634
5 Informational1671.0092671634-2.7213048608
5 Informational17140.99928711380.3621871765
5 Informational18201.0029007591-0.5721176093
5 Informational19161.0036199018-1.0583063205
5 Informational2041.00052177250.0578624023
NOTE: DBA = Digitally based assessment. PBA = Paper-based assessment.
SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2019 Reading Assessment.


Last updated 09 January 2024 (ML)