All negative values (e.g., -998 ) are coded as missing. Please check if this is ok!
| item1 | observation1 | item2 | observation2 | item3 | observation3 |
|---|---|---|---|---|---|
| B3_ord03s | 786 | B3_av591s | 353 | B3_av809s | 252 |
| B3_ord04s | 786 | B3_av781s | 417 | B3_av083s | 252 |
| B3_ord05s | 786 | B3_av060s | 353 | B3_av183s | 252 |
| B3_ord07s | 786 | B3_av068s | 353 | B3_av247s | 483 |
| B3_ord08s | 786 | B3_av220s | 605 | B3_av227s | 252 |
| B3_ord93s | 786 | B3_av248s | 417 | B3_av195s | 252 |
| B3_ord88s | 786 | B3_av244s | 353 | B3_av263s | 252 |
| B3_ord86s | 525 | B3_av252s | 584 | B3_av311s | 252 |
| B3_ord10s | 525 | B3_av324s | 655 | B3_av813s | 252 |
| B3_ord11s | 525 | B3_av388s | 417 | B3_av387s | 252 |
| B3_ord12s | 525 | B3_av400s | 417 | B3_av503s | 483 |
| B3_ord46s | 525 | B3_av432s | 353 | B3_av499s | 252 |
| B3_ord72s | 525 | B3_av444s | 353 | B3_av723s | 252 |
| B3_ord70s | 525 | B3_av532s | 353 | B3_av651s | 252 |
| B3_ord74s | 655 | B3_av572s | 417 | B3_av631s | 252 |
| B3_ord76s | 655 | B3_av596s | 417 | B3_av615s | 252 |
| B3_ord65s | 655 | B3_av620s | 353 | B3_av817s | 252 |
| B3_ord33s | 265 | B3_av660s | 353 | B3_av124s | 252 |
| B3_ord79s | 265 | B3_av672s | 353 | B3_av116s | 252 |
| B3_ord49s | 265 | B3_av652s | 353 | B3_av224s | 252 |
| B3_ord81s | 265 | B3_av021s | 353 | B3_av156s | 252 |
| B3_ord35s | 452 | B3_av025s | 353 | B3_av160s | 252 |
| B3_ord63s | 452 | B3_av077s | 64 | B3_av280s | 252 |
| B3_ord02s | 452 | B3_av233s | 64 | B3_av272s | 252 |
| B3_ord50s | 452 | B3_av257s | 64 | B3_av304s | 252 |
| B3_ord67s | 452 | B3_av074s | 64 | B3_av348s | 252 |
| B3_ord68s | 452 | B3_av082s | 64 | B3_av396s | 252 |
| B3_ord32s | 452 | B3_av254s | 64 | B3_av468s | 252 |
| B3_ord77s | 353 | B3_av246s | 64 | B3_av488s | 252 |
| B3_ord78s | 353 | B3_av226s | 64 | B3_av464s | 252 |
| B3_ord56s | 353 | B3_av278s | 64 | B3_av552s | 252 |
| B3_ord66s | 353 | B3_av442s | 64 | B3_av560s | 252 |
| B3_ord51s | 353 | B3_av458s | 64 | B3_av700s | 252 |
| B3_ord45s | 353 | B3_av570s | 64 | B3_av580s | 252 |
| B3_ord62s | 353 | B3_av606s | 64 | B3_av604s | 252 |
| B3_ord71s | 332 | B3_av006s | 295 | B3_av105s | 466 |
| B3_ord80s | 332 | B3_av019s | 302 | B3_av053s | 466 |
| B3_av753s | 356 | B3_av027s | 64 | B3_av113s | 238 |
| B3_av013s | 356 | B3_av087s | 64 | B3_av145s | 238 |
| B3_av141s | 356 | B3_av785s | 64 | B3_av022s | 238 |
| B3_av181s | 356 | B3_av091s | 64 | B3_av050s | 238 |
| B3_av166s | 903 | B3_av143s | 533 | B3_av158s | 238 |
| B3_av038s | 356 | B3_av147s | 278 | B3_av186s | 238 |
| B3_av042s | 356 | B3_av199s | 64 | B3_av190s | 238 |
| B3_av150s | 356 | B3_av223s | 278 | B3_av274s | 238 |
| B3_av194s | 356 | B3_av159s | 295 | B3_av282s | 238 |
| B3_av206s | 356 | B3_av751s | 64 | B3_av366s | 238 |
| B3_av266s | 356 | B3_av251s | 64 | B3_av534s | 238 |
| B3_av757s | 356 | B3_av303s | 64 | B3_av538s | 238 |
| B3_av302s | 356 | B3_av789s | 64 | B3_av031s | 452 |
| B3_av354s | 356 | B3_av355s | 64 | B3_av011s | 238 |
| B3_av462s | 356 | B3_av395s | 64 | B3_av009s | 238 |
| B3_av470s | 356 | B3_av623s | 64 | B3_av047s | 238 |
| B3_av239s | 903 | B3_av531s | 533 | B3_av821s | 238 |
| B3_av059s | 356 | B3_av515s | 64 | B3_av219s | 469 |
| B3_av131s | 356 | B3_av635s | 64 | B3_av163s | 452 |
| B3_av139s | 356 | B3_av096s | 64 | B3_av243s | 238 |
| B3_av111s | 356 | B3_av793s | 64 | B3_av295s | 469 |
| B3_av123s | 356 | B3_av104s | 64 | B3_av335s | 469 |
| B3_av761s | 356 | B3_av188s | 64 | B3_av825s | 469 |
| B3_av155s | 356 | B3_av184s | 64 | B3_av379s | 238 |
| B3_av175s | 587 | B3_av196s | 64 | B3_av431s | 238 |
| B3_av259s | 356 | B3_av232s | 64 | B3_av475s | 238 |
| B3_av255s | 594 | B3_av332s | 64 | B3_av523s | 238 |
| B3_av235s | 356 | B3_av392s | 64 | B3_av555s | 238 |
| B3_av187s | 570 | B3_av428s | 64 | B3_av595s | 238 |
| B3_av271s | 356 | B3_av384s | 64 | B3_av120s | 238 |
| B3_av275s | 356 | B3_av472s | 64 | B3_av829s | 469 |
| B3_av279s | 570 | B3_av476s | 64 | B3_av092s | 238 |
| B3_av343s | 356 | B3_av508s | 64 | B3_av152s | 238 |
| B3_av765s | 356 | B3_av520s | 64 | B3_av172s | 238 |
| B3_av299s | 356 | B3_av524s | 64 | B3_av228s | 469 |
| B3_av307s | 570 | B3_av556s | 64 | B3_av260s | 238 |
| B3_av399s | 587 | B3_av568s | 64 | B3_av308s | 469 |
| B3_av583s | 356 | B3_av600s | 64 | B3_av408s | 238 |
| B3_av599s | 356 | B3_av061s | 64 | B3_av452s | 469 |
| B3_av467s | 356 | B3_av069s | 64 | B3_av456s | 469 |
| B3_av547s | 356 | B3_av117s | 72 | B3_av584s | 238 |
| B3_av551s | 356 | B3_av217s | 72 | B3_av608s | 238 |
| B3_av563s | 356 | B3_av153s | 72 | B3_av624s | 238 |
| B3_av316s | 903 | B3_av066s | 72 | B3_av640s | 238 |
| B3_av769s | 356 | B3_av054s | 72 | B3_av656s | 469 |
| B3_av012s | 356 | B3_av210s | 72 | B3_av664s | 238 |
| B3_av020s | 356 | B3_av146s | 72 | B3_av085s | 238 |
| B3_av148s | 356 | B3_av178s | 72 | B3_av093s | 238 |
| B3_av200s | 587 | B3_av262s | 72 | B3_av193s | 231 |
| B3_av212s | 570 | B3_av310s | 72 | B3_av014s | 231 |
| B3_av216s | 356 | B3_av342s | 72 | B3_av090s | 231 |
| B3_av284s | 356 | B3_av486s | 72 | B3_av182s | 231 |
| B3_av312s | 356 | B3_av494s | 72 | B3_av242s | 231 |
| B3_av380s | 570 | B3_av099s | 72 | B3_av338s | 231 |
| B3_av368s | 356 | B3_av071s | 72 | B3_av394s | 231 |
| B3_av125s | 903 | B3_av063s | 72 | B3_av378s | 231 |
| B3_av416s | 356 | B3_av039s | 72 | B3_av035s | 231 |
| B3_av420s | 570 | B3_av797s | 72 | B3_av095s | 231 |
| B3_av424s | 356 | B3_av015s | 72 | B3_av115s | 231 |
| B3_av436s | 570 | B3_av151s | 324 | B3_av833s | 231 |
| B3_av480s | 356 | B3_av171s | 324 | B3_av331s | 231 |
| B3_av484s | 356 | B3_av231s | 286 | B3_av367s | 231 |
| B3_av496s | 356 | B3_av267s | 324 | B3_av435s | 231 |
| B3_av500s | 587 | B3_av283s | 72 | B3_av459s | 231 |
| B3_av504s | 428 | B3_av323s | 72 | B3_av471s | 231 |
| B3_av516s | 356 | B3_av801s | 324 | B3_av479s | 231 |
| B3_av133s | 903 | B3_av327s | 324 | B3_av519s | 231 |
| B3_av528s | 587 | B3_av663s | 324 | B3_av571s | 231 |
| B3_av536s | 356 | B3_av643s | 72 | B3_av659s | 231 |
| B3_av540s | 356 | B3_av619s | 72 | B3_av028s | 231 |
| B3_av544s | 356 | B3_av575s | 72 | B3_av088s | 231 |
| B3_av287s | 903 | B3_av559s | 72 | B3_av236s | 231 |
| B3_av005s | 356 | B3_av671s | 72 | B3_av180s | 231 |
| B3_av007s | 356 | B3_av805s | 324 | B3_av344s | 231 |
| B3_av029s | 353 | B3_av108s | 72 | B3_av300s | 231 |
| B3_av157s | 353 | B3_av080s | 72 | B3_av356s | 231 |
| B3_av221s | 353 | B3_av164s | 324 | B3_av376s | 231 |
| B3_av034s | 353 | B3_av192s | 72 | B3_av065s | 231 |
| B3_av046s | 353 | B3_av256s | 72 | B3_av708s | 231 |
| B3_av162s | 353 | B3_av208s | 72 | B3_av636s | 231 |
| B3_av170s | 353 | B3_av296s | 324 | B3_av576s | 231 |
| B3_av230s | 353 | B3_av336s | 324 | B3_av632s | 231 |
| B3_av330s | 353 | B3_av340s | 72 | B3_av109s | 231 |
| B3_av390s | 353 | B3_av352s | 324 | B3_av121s | 231 |
| B3_av506s | 353 | B3_av548s | 324 | B3_av169s | 231 |
| B3_av554s | 353 | B3_av564s | 72 | B3_av023s | 214 |
| B3_av119s | 353 | B3_av592s | 72 | B3_av391s | 214 |
| B3_av107s | 353 | B3_av616s | 72 | B3_av443s | 214 |
| B3_av075s | 353 | B3_av129s | 72 | B3_av423s | 214 |
| B3_av051s | 584 | B3_av137s | 72 | B3_av383s | 214 |
| B3_av055s | 353 | B3_av073s | 466 | B3_av699s | 214 |
| B3_av773s | 353 | B3_av177s | 466 | B3_av535s | 214 |
| B3_av179s | 655 | B3_av249s | 466 | B3_av483s | 214 |
| B3_av215s | 353 | B3_av008s | 466 | B3_av495s | 214 |
| B3_av211s | 584 | B3_av098s | 466 | B3_av487s | 214 |
| B3_av207s | 567 | B3_av218s | 466 | B3_av539s | 214 |
| B3_av191s | 353 | B3_av258s | 466 | B3_av507s | 214 |
| B3_av375s | 353 | B3_av154s | 466 | B3_av455s | 214 |
| B3_av347s | 417 | B3_av414s | 466 | B3_av044s | 214 |
| B3_av777s | 417 | B3_av430s | 466 | B3_av072s | 214 |
| B3_av351s | 353 | B3_av750s | 466 | B3_av176s | 214 |
| B3_av427s | 353 | B3_av530s | 466 | B3_av144s | 214 |
| B3_av639s | 353 | B3_av542s | 466 | B3_av460s | 214 |
| B3_av655s | 353 | B3_av043s | 252 | B3_av268s | 214 |
| B3_av607s | 353 | B3_av067s | 252 | B3_av748s | 214 |
| B3_av567s | 353 | B3_av079s | 466 | B3_av644s | 214 |
| B3_av579s | 417 | B3_av103s | 466 | NA | NA |
We have 431 dichotomous items, and 0 polytomous items. Here is the the distribution of percentage correct for the dichotomous items:
The items were never answered incorrectly, and are removed from further analysis.
Also, 1762 students did not receive any items from this category.
The resulting test information curve is as follows:
| a | d | |
|---|---|---|
| B3_ord03s | 1.1 | -3.4 |
| B3_ord04s | 1.0 | -3.1 |
| B3_ord05s | 0.7 | -3.1 |
| B3_ord07s | 1.1 | -3.1 |
| B3_ord08s | 0.7 | -2.5 |
| B3_ord93s | 0.7 | -2.4 |
| B3_ord88s | 1.0 | -2.5 |
| B3_ord86s | 0.5 | -5.9 |
| B3_ord10s | 0.6 | -4.0 |
| B3_ord11s | 0.8 | -2.8 |
| B3_ord12s | 1.0 | -2.2 |
| B3_ord46s | 0.8 | -3.9 |
| B3_ord72s | 0.9 | -3.8 |
| B3_ord70s | 1.0 | -2.1 |
| B3_ord74s | 0.8 | -0.7 |
| B3_ord76s | 1.6 | -1.6 |
| B3_ord65s | 1.3 | -1.4 |
| B3_ord33s | 1.3 | -2.1 |
| B3_ord79s | 1.4 | -2.0 |
| B3_ord49s | 1.1 | -2.3 |
| B3_ord81s | 2.1 | -1.6 |
| B3_ord35s | 0.9 | -2.2 |
| B3_ord63s | 0.3 | -11.7 |
| B3_ord02s | 0.9 | -2.6 |
| B3_ord50s | 1.2 | -2.4 |
| B3_ord67s | 1.1 | -2.5 |
| B3_ord68s | 1.1 | -1.9 |
| B3_ord32s | 0.7 | -3.3 |
| B3_ord77s | 0.8 | -3.1 |
| B3_ord78s | 0.7 | -3.7 |
| B3_ord56s | 0.8 | -3.6 |
| B3_ord66s | 0.7 | -3.5 |
| B3_ord51s | 0.7 | -3.7 |
| B3_ord45s | 0.8 | -1.9 |
| B3_ord62s | 0.8 | -2.9 |
| B3_ord71s | 0.4 | -6.8 |
| B3_ord80s | 0.9 | -3.2 |
| B3_av753s | 1.2 | -1.7 |
| B3_av013s | 1.6 | -1.5 |
| B3_av141s | 1.7 | -1.5 |
| B3_av181s | 1.8 | -1.3 |
| B3_av166s | 1.7 | -1.2 |
| B3_av038s | 1.9 | -1.3 |
| B3_av042s | 1.6 | -1.2 |
| B3_av150s | 1.8 | -1.0 |
| B3_av194s | 1.7 | -1.2 |
| B3_av206s | 1.5 | -1.5 |
| B3_av266s | 1.9 | -1.1 |
| B3_av757s | 1.4 | -2.6 |
| B3_av302s | 1.5 | -0.5 |
| B3_av354s | 1.6 | -0.7 |
| B3_av462s | 1.9 | -0.8 |
| B3_av470s | 1.5 | -0.4 |
| B3_av239s | 1.4 | -1.2 |
| B3_av059s | 1.9 | -0.8 |
| B3_av131s | 2.0 | -1.2 |
| B3_av139s | 2.0 | -1.0 |
| B3_av111s | 1.4 | -1.3 |
| B3_av123s | 2.3 | -0.9 |
| B3_av761s | 1.5 | -2.3 |
| B3_av155s | 1.7 | -0.7 |
| B3_av175s | 2.2 | -1.0 |
| B3_av259s | 1.9 | -1.0 |
| B3_av255s | 1.4 | -0.8 |
| B3_av235s | 2.2 | -0.8 |
| B3_av187s | 2.0 | -0.5 |
| B3_av271s | 2.0 | -0.8 |
| B3_av275s | 1.4 | 0.3 |
| B3_av279s | 1.5 | -0.7 |
| B3_av343s | 2.2 | -0.9 |
| B3_av765s | 1.6 | -2.2 |
| B3_av299s | 1.7 | -0.7 |
| B3_av307s | 1.7 | -0.2 |
| B3_av399s | 1.5 | 0.1 |
| B3_av583s | 2.3 | -0.7 |
| B3_av599s | 2.0 | -0.3 |
| B3_av467s | 1.6 | -0.2 |
| B3_av547s | 1.6 | -0.4 |
| B3_av551s | 1.1 | 0.5 |
| B3_av563s | 1.8 | -0.6 |
| B3_av316s | 1.6 | -0.6 |
| B3_av769s | 2.0 | -1.7 |
| B3_av012s | 1.5 | -0.8 |
| B3_av020s | 1.9 | -1.1 |
| B3_av148s | 1.8 | -0.8 |
| B3_av200s | 1.9 | -0.5 |
| B3_av212s | 1.8 | -1.1 |
| B3_av216s | 2.4 | -0.7 |
| B3_av284s | 2.4 | -0.7 |
| B3_av312s | 1.8 | -0.5 |
| B3_av380s | 1.9 | -0.7 |
| B3_av368s | 1.0 | 0.9 |
| B3_av125s | 1.6 | -1.9 |
| B3_av416s | 1.5 | 0.0 |
| B3_av420s | 2.0 | 0.0 |
| B3_av424s | 2.0 | -0.6 |
| B3_av436s | 1.9 | -0.2 |
| B3_av480s | 1.5 | -0.5 |
| B3_av484s | 1.7 | -0.3 |
| B3_av496s | 1.6 | -0.4 |
| B3_av500s | 1.4 | 0.0 |
| B3_av504s | 1.1 | 0.4 |
| B3_av516s | 1.2 | 0.0 |
| B3_av133s | 1.6 | -1.7 |
| B3_av528s | 0.5 | 1.0 |
| B3_av536s | 1.1 | 0.6 |
| B3_av540s | 1.1 | 0.8 |
| B3_av544s | 1.1 | 0.2 |
| B3_av287s | 1.6 | -0.2 |
| B3_av005s | 1.7 | -1.5 |
| B3_av007s | 1.9 | -1.1 |
| B3_av029s | 1.7 | -1.5 |
| B3_av157s | 1.5 | -1.3 |
| B3_av221s | 1.6 | -1.0 |
| B3_av034s | 1.7 | -1.5 |
| B3_av046s | 1.5 | -1.4 |
| B3_av162s | 2.0 | -1.2 |
| B3_av170s | 1.7 | -1.3 |
| B3_av230s | 1.8 | -1.0 |
| B3_av330s | 1.7 | -0.9 |
| B3_av390s | 1.5 | -0.9 |
| B3_av506s | 1.8 | 0.4 |
| B3_av554s | 1.7 | -0.2 |
| B3_av119s | 2.0 | -0.6 |
| B3_av107s | 2.1 | -0.5 |
| B3_av075s | 1.5 | -1.0 |
| B3_av051s | 1.5 | -1.2 |
| B3_av055s | 1.9 | -1.1 |
| B3_av773s | 1.3 | -2.0 |
| B3_av179s | 1.6 | -1.2 |
| B3_av215s | 1.8 | -1.1 |
| B3_av211s | 1.6 | -1.3 |
| B3_av207s | 2.0 | -1.1 |
| B3_av191s | 1.8 | -1.0 |
| B3_av375s | 1.8 | -1.0 |
| B3_av347s | 1.7 | -0.8 |
| B3_av777s | 1.2 | -1.9 |
| B3_av351s | 2.3 | -0.7 |
| B3_av427s | 1.2 | -1.1 |
| B3_av639s | 1.3 | -0.6 |
| B3_av655s | 1.3 | -0.4 |
| B3_av607s | 2.2 | -0.8 |
| B3_av567s | 0.7 | 1.0 |
| B3_av579s | 1.7 | -0.6 |
| B3_av591s | 0.8 | -0.3 |
| B3_av781s | 1.9 | -1.5 |
| B3_av060s | 1.6 | -0.6 |
| B3_av068s | 1.2 | -1.3 |
| B3_av220s | 1.7 | -0.4 |
| B3_av248s | 1.6 | -0.6 |
| B3_av244s | 1.4 | -0.8 |
| B3_av252s | 2.0 | -0.2 |
| B3_av324s | 1.5 | -0.3 |
| B3_av388s | 1.1 | 0.4 |
| B3_av400s | 1.6 | 0.3 |
| B3_av432s | 1.7 | 0.2 |
| B3_av444s | 1.3 | -0.3 |
| B3_av532s | 0.8 | 0.5 |
| B3_av572s | 1.4 | 1.1 |
| B3_av596s | 0.6 | 0.4 |
| B3_av620s | 0.9 | 1.3 |
| B3_av660s | 1.0 | -0.5 |
| B3_av672s | 1.4 | -0.2 |
| B3_av652s | 1.0 | 1.7 |
| B3_av021s | 1.6 | -1.4 |
| B3_av025s | 1.5 | -1.3 |
| B3_av077s | 0.1 | -7.1 |
| B3_av233s | 1.5 | -1.7 |
| B3_av257s | 2.1 | -1.3 |
| B3_av074s | 1.1 | -2.1 |
| B3_av082s | 0.8 | -3.3 |
| B3_av254s | 1.4 | -1.0 |
| B3_av246s | 1.4 | -1.0 |
| B3_av226s | 1.6 | -1.4 |
| B3_av278s | 1.5 | -0.6 |
| B3_av442s | 1.4 | -0.7 |
| B3_av458s | 2.1 | -0.6 |
| B3_av570s | 1.6 | 0.6 |
| B3_av606s | 1.5 | -1.6 |
| B3_av006s | 1.4 | -1.2 |
| B3_av019s | 1.5 | -1.3 |
| B3_av027s | 1.8 | -0.7 |
| B3_av087s | 1.0 | -1.6 |
| B3_av785s | 5.1 | -2.4 |
| B3_av091s | 0.6 | -3.0 |
| B3_av143s | 1.8 | -1.0 |
| B3_av147s | 1.4 | -1.3 |
| B3_av199s | 2.3 | -0.8 |
| B3_av223s | 1.6 | -0.8 |
| B3_av159s | 1.2 | -1.1 |
| B3_av751s | 2.3 | -0.1 |
| B3_av251s | 0.8 | -0.7 |
| B3_av303s | 1.6 | -0.1 |
| B3_av789s | 0.3 | -7.8 |
| B3_av355s | 2.2 | -0.5 |
| B3_av395s | 1.6 | -0.8 |
| B3_av623s | 1.7 | -0.1 |
| B3_av531s | 1.0 | -0.1 |
| B3_av515s | 2.2 | -0.7 |
| B3_av635s | 1.3 | 0.5 |
| B3_av096s | 1.2 | -0.9 |
| B3_av793s | 1.1 | -3.1 |
| B3_av104s | 1.7 | -0.8 |
| B3_av188s | 2.5 | -0.3 |
| B3_av184s | 1.5 | -0.7 |
| B3_av196s | 2.3 | -0.6 |
| B3_av232s | 2.3 | -0.2 |
| B3_av332s | 1.4 | -0.8 |
| B3_av392s | 0.9 | -0.3 |
| B3_av428s | 1.5 | -0.9 |
| B3_av384s | 1.5 | 0.1 |
| B3_av472s | 2.7 | 0.2 |
| B3_av476s | 0.7 | 1.0 |
| B3_av508s | 2.1 | 0.6 |
| B3_av520s | 0.9 | 0.7 |
| B3_av524s | 1.5 | 0.6 |
| B3_av556s | 0.9 | 0.9 |
| B3_av568s | 0.7 | 1.9 |
| B3_av600s | 0.9 | 0.1 |
| B3_av061s | 0.4 | -5.1 |
| B3_av069s | 0.7 | -4.3 |
| B3_av117s | 1.6 | -0.8 |
| B3_av217s | 1.8 | -0.9 |
| B3_av153s | 2.5 | -0.7 |
| B3_av066s | 2.1 | -1.7 |
| B3_av054s | 2.0 | -1.7 |
| B3_av210s | 1.3 | -1.7 |
| B3_av146s | 1.3 | -1.8 |
| B3_av178s | 1.4 | -1.8 |
| B3_av262s | 0.7 | -1.6 |
| B3_av310s | 1.1 | -0.9 |
| B3_av342s | 1.6 | -0.9 |
| B3_av486s | 1.3 | -0.2 |
| B3_av494s | 1.4 | -0.5 |
| B3_av099s | 2.1 | -1.5 |
| B3_av071s | 5.7 | -0.9 |
| B3_av063s | 3.4 | -1.1 |
| B3_av039s | 1.5 | -1.8 |
| B3_av797s | 2.1 | -2.1 |
| B3_av015s | 2.8 | -1.2 |
| B3_av151s | 1.6 | -0.9 |
| B3_av171s | 1.8 | -1.1 |
| B3_av231s | 2.8 | -0.8 |
| B3_av267s | 1.7 | -1.1 |
| B3_av283s | 6.6 | -0.6 |
| B3_av323s | 1.9 | -0.4 |
| B3_av801s | 1.0 | -3.3 |
| B3_av327s | 0.4 | 0.9 |
| B3_av663s | 0.9 | 0.9 |
| B3_av643s | 0.6 | -0.9 |
| B3_av619s | 0.3 | 3.5 |
| B3_av575s | 0.9 | -0.5 |
| B3_av559s | 1.5 | -0.6 |
| B3_av671s | 1.0 | -0.5 |
| B3_av805s | 1.3 | -2.6 |
| B3_av108s | 2.3 | -0.3 |
| B3_av080s | 1.5 | -0.7 |
| B3_av164s | 1.6 | -1.0 |
| B3_av192s | 1.3 | -0.8 |
| B3_av256s | 1.8 | -0.7 |
| B3_av208s | 1.6 | -0.5 |
| B3_av296s | 1.6 | -0.8 |
| B3_av336s | 2.1 | 0.1 |
| B3_av340s | 1.9 | 0.0 |
| B3_av352s | 1.8 | -0.2 |
| B3_av548s | 1.2 | -0.3 |
| B3_av564s | 1.0 | -0.5 |
| B3_av592s | 0.5 | 0.1 |
| B3_av616s | 0.6 | 1.1 |
| B3_av129s | 2.1 | -1.9 |
| B3_av137s | 1.8 | -1.7 |
| B3_av073s | 1.2 | -1.5 |
| B3_av177s | 1.8 | -1.6 |
| B3_av249s | 1.4 | -1.2 |
| B3_av008s | 1.7 | -1.3 |
| B3_av098s | 2.0 | -1.4 |
| B3_av218s | 2.1 | -0.8 |
| B3_av258s | 1.5 | -1.2 |
| B3_av154s | 1.8 | -0.9 |
| B3_av414s | 1.9 | -0.6 |
| B3_av430s | 1.1 | 0.0 |
| B3_av750s | 2.0 | -0.5 |
| B3_av530s | 1.1 | -0.5 |
| B3_av542s | 1.2 | -0.4 |
| B3_av043s | 1.4 | -1.1 |
| B3_av067s | 1.3 | -1.5 |
| B3_av079s | 1.3 | -0.9 |
| B3_av103s | 1.6 | -1.0 |
| B3_av809s | 1.4 | -2.0 |
| B3_av083s | 1.5 | -1.3 |
| B3_av183s | 1.6 | -1.1 |
| B3_av247s | 1.3 | -0.8 |
| B3_av227s | 1.7 | -1.1 |
| B3_av195s | 1.6 | -1.0 |
| B3_av263s | 1.1 | -0.9 |
| B3_av311s | 1.3 | -1.0 |
| B3_av813s | 1.9 | -1.3 |
| B3_av387s | 2.1 | -0.1 |
| B3_av503s | 1.5 | -0.2 |
| B3_av499s | 0.8 | -0.2 |
| B3_av723s | 0.6 | 0.1 |
| B3_av651s | 1.0 | 1.4 |
| B3_av631s | 1.4 | 0.0 |
| B3_av615s | 1.8 | 0.3 |
| B3_av817s | 1.9 | -1.5 |
| B3_av124s | 1.6 | -0.8 |
| B3_av116s | 1.5 | -1.0 |
| B3_av224s | 1.2 | -0.8 |
| B3_av156s | 1.6 | -0.3 |
| B3_av160s | 1.1 | -1.3 |
| B3_av280s | 1.2 | -0.9 |
| B3_av272s | 1.8 | -0.7 |
| B3_av304s | 1.4 | 0.1 |
| B3_av348s | 1.2 | -0.9 |
| B3_av396s | 1.4 | -0.5 |
| B3_av468s | 1.4 | -0.4 |
| B3_av488s | 1.0 | 0.3 |
| B3_av464s | 1.5 | -0.6 |
| B3_av552s | 1.2 | 0.7 |
| B3_av560s | 1.1 | -0.2 |
| B3_av700s | 1.7 | 0.5 |
| B3_av580s | 1.4 | -0.5 |
| B3_av604s | 2.0 | 0.6 |
| B3_av105s | 1.5 | -1.1 |
| B3_av053s | 1.5 | -1.7 |
| B3_av113s | 1.3 | -1.8 |
| B3_av145s | 1.0 | -1.7 |
| B3_av022s | 2.1 | -1.2 |
| B3_av050s | 1.1 | -1.7 |
| B3_av158s | 0.9 | -1.9 |
| B3_av186s | 1.9 | -0.9 |
| B3_av190s | 1.6 | -1.4 |
| B3_av274s | 1.5 | 0.0 |
| B3_av282s | 1.6 | -1.2 |
| B3_av366s | 1.6 | 0.0 |
| B3_av534s | 1.3 | 0.2 |
| B3_av538s | 2.0 | 0.0 |
| B3_av031s | 1.8 | -1.2 |
| B3_av011s | 1.1 | -1.1 |
| B3_av009s | 1.9 | -1.0 |
| B3_av047s | 1.8 | -1.4 |
| B3_av821s | 2.0 | -1.7 |
| B3_av219s | 1.7 | -0.5 |
| B3_av163s | 1.9 | -1.1 |
| B3_av243s | 1.3 | -1.3 |
| B3_av295s | 1.7 | -0.8 |
| B3_av335s | 2.1 | -0.2 |
| B3_av825s | 1.9 | -1.7 |
| B3_av379s | 1.8 | -0.8 |
| B3_av431s | 1.7 | 0.2 |
| B3_av475s | 1.6 | 0.5 |
| B3_av523s | 2.1 | 0.1 |
| B3_av555s | 2.2 | -0.1 |
| B3_av595s | 0.6 | 0.3 |
| B3_av120s | 2.2 | -0.5 |
| B3_av829s | 1.4 | -1.7 |
| B3_av092s | 1.1 | -1.2 |
| B3_av152s | 1.7 | -0.5 |
| B3_av172s | 1.1 | -0.9 |
| B3_av228s | 1.5 | -1.0 |
| B3_av260s | 1.6 | -0.9 |
| B3_av308s | 2.0 | 0.1 |
| B3_av408s | 0.6 | 0.2 |
| B3_av452s | 2.0 | 0.5 |
| B3_av456s | 1.2 | 0.0 |
| B3_av584s | 2.6 | -0.5 |
| B3_av608s | 1.5 | -0.6 |
| B3_av624s | 2.3 | -0.2 |
| B3_av640s | 1.5 | -0.4 |
| B3_av656s | 0.9 | 0.0 |
| B3_av664s | 0.8 | 1.7 |
| B3_av085s | 1.6 | -1.5 |
| B3_av093s | 1.7 | -1.2 |
| B3_av193s | 1.4 | -1.6 |
| B3_av014s | 1.5 | -1.3 |
| B3_av090s | 1.4 | -1.5 |
| B3_av182s | 1.5 | -1.2 |
| B3_av242s | 2.0 | -1.2 |
| B3_av338s | 1.4 | -0.6 |
| B3_av394s | 1.3 | -0.8 |
| B3_av378s | 1.8 | -1.0 |
| B3_av035s | 2.1 | -1.4 |
| B3_av095s | 1.1 | -1.3 |
| B3_av115s | 1.6 | -1.1 |
| B3_av833s | 1.7 | -1.7 |
| B3_av331s | 1.5 | -0.7 |
| B3_av367s | 1.0 | 0.1 |
| B3_av435s | 1.4 | -0.6 |
| B3_av459s | 1.7 | -0.8 |
| B3_av471s | 1.8 | -0.1 |
| B3_av479s | 1.4 | -0.7 |
| B3_av519s | 2.4 | 0.2 |
| B3_av571s | 1.0 | 1.1 |
| B3_av659s | 1.7 | -0.5 |
| B3_av028s | 1.7 | -0.5 |
| B3_av088s | 2.0 | -0.6 |
| B3_av236s | 2.2 | -0.5 |
| B3_av180s | 2.5 | -0.9 |
| B3_av344s | 1.4 | -0.7 |
| B3_av300s | 1.5 | -0.4 |
| B3_av356s | 2.0 | 0.0 |
| B3_av376s | 1.8 | -0.8 |
| B3_av065s | 1.9 | -1.7 |
| B3_av708s | 0.6 | 0.9 |
| B3_av636s | 1.9 | 0.4 |
| B3_av576s | 1.3 | 0.1 |
| B3_av632s | 0.8 | 1.0 |
| B3_av109s | 1.1 | -2.0 |
| B3_av121s | 1.2 | -1.8 |
| B3_av169s | 1.8 | -1.5 |
| B3_av023s | 2.3 | -0.9 |
| B3_av391s | 1.6 | -0.5 |
| B3_av443s | 1.3 | -0.3 |
| B3_av423s | 1.7 | -0.7 |
| B3_av383s | 1.1 | -0.3 |
| B3_av699s | 1.5 | 0.1 |
| B3_av535s | 1.1 | 0.5 |
| B3_av483s | 1.5 | -0.6 |
| B3_av495s | 1.5 | -0.4 |
| B3_av487s | 1.4 | 0.0 |
| B3_av539s | 2.0 | 0.4 |
| B3_av507s | 1.4 | 0.8 |
| B3_av455s | 1.3 | -0.2 |
| B3_av044s | 1.5 | -0.5 |
| B3_av072s | 1.9 | -0.9 |
| B3_av176s | 2.3 | -0.5 |
| B3_av144s | 1.6 | -0.9 |
| B3_av460s | 1.6 | -0.6 |
| B3_av268s | 1.8 | -0.7 |
| B3_av748s | 1.1 | 0.7 |
| B3_av644s | 0.9 | 0.0 |
We might also look at this visually, with tracelines.
Items with low discrimination (less than 0.5).
## [1] "B3_ord86s" "B3_ord63s" "B3_ord71s" "B3_av528s" "B3_av077s" "B3_av789s"
## [7] "B3_av061s" "B3_av327s" "B3_av619s"
| item1 | observation1 | item2 | observation2 | item3 | observation3 |
|---|---|---|---|---|---|
| B3_vsf01s | 797 | B3_vsk015s | 252 | B3_vo029s | 252 |
| B3_vsf44s | 786 | B3_vsk013s | 252 | B3_vo030s | 252 |
| B3_vsf47s | 532 | B3_vsk014s | 252 | B3_vo031s | 252 |
| B3_vsf29s | 984 | B3_vsk016s | 238 | B3_vo071s | 238 |
| B3_vsf49s | 532 | B3_vsk017s | 238 | B3_vo074s | 238 |
| B3_vsf03s | 532 | B3_vsk018s | 238 | B3_vo076s | 238 |
| B3_vsf19s | 786 | B3_vo058s | 428 | B3_vo078s | 238 |
| B3_vsf18s | 922 | B3_vo001s | 356 | B3_vo079s | 238 |
| B3_vsf16s | 790 | B3_vo002s | 356 | B3_vo080s | 238 |
| B3_vsf08s | 525 | B3_vo003s | 356 | B3_vo081s | 469 |
| B3_vsf22s | 525 | B3_vo004s | 356 | B3_vo082s | 238 |
| B3_vsf41s | 525 | B3_vo005s | 356 | B3_vo083s | 231 |
| B3_vsf11s | 525 | B3_vo006s | 356 | B3_vo087s | 231 |
| B3_vsf13s | 525 | B3_vo007s | 356 | B3_vo088s | 231 |
| B3_vsf07s | 779 | B3_vo008s | 356 | B3_vo090s | 231 |
| B3_vsf42s | 779 | B3_vo009s | 587 | B3_vo092s | 231 |
| B3_vsf27s | 254 | B3_vo010s | 420 | B3_vo093s | 231 |
| B3_vsf35s | 254 | B3_vo011s | 420 | B3_vo094s | 231 |
| B3_vsf10s | 254 | B3_vo054s | 353 | B3_my501s | 420 |
| B3_vsf21s | 706 | B3_vo056s | 425 | B3_my502s | 420 |
| B3_vsf26s | 655 | B3_vo077s | 591 | B3_my601s | 356 |
| B3_vsf46s | 265 | B3_vo043s | 353 | B3_my603s | 356 |
| B3_vsf17s | 265 | B3_vo044s | 353 | B3_my605s | 356 |
| B3_vsf06s | 265 | B3_vo045s | 353 | B3_my622s | 356 |
| B3_vsf12s | 265 | B3_vo046s | 353 | B3_my504s | 425 |
| B3_vsf37s | 597 | B3_vo047s | 353 | B3_my602s | 353 |
| B3_vsf33s | 452 | B3_vo048s | 353 | B3_my604s | 353 |
| B3_vsf24s | 452 | B3_vo049s | 353 | B3_my606s | 353 |
| B3_vsf43s | 452 | B3_vo050s | 353 | B3_my623s | 353 |
| B3_vsf30s | 452 | B3_vo051s | 353 | B3_my505s | 64 |
| B3_vsf38s | 452 | B3_vo052s | 353 | B3_my507s | 64 |
| B3_vsf25s | 805 | B3_vo053s | 353 | B3_my607s | 64 |
| B3_vsf48s | 390 | B3_vo055s | 425 | B3_my612s | 64 |
| B3_vsf02s | 390 | B3_vo084s | 64 | B3_my614s | 64 |
| B3_vsf31s | 743 | B3_vo012s | 64 | B3_my627s | 64 |
| B3_vsf45s | 743 | B3_vo013s | 64 | B3_my506s | 72 |
| B3_vsf14s | 722 | B3_vo014s | 64 | B3_my508s | 72 |
| B3_vsf09s | 722 | B3_vo015s | 64 | B3_my608s | 72 |
| B3_vsf34s | 353 | B3_vo016s | 64 | B3_my615s | 72 |
| B3_vsf05s | 353 | B3_vo017s | 64 | B3_my616s | 72 |
| B3_vsf39s | 353 | B3_vo018s | 64 | B3_my503s | 72 |
| B3_vsf20s | 353 | B3_vo019s | 64 | B3_my509s | 252 |
| B3_vsf36s | 353 | B3_vo020s | 64 | B3_my510s | 252 |
| B3_vsf23s | 332 | B3_vo021s | 316 | B3_my609s | 252 |
| B3_vsf04s | 332 | B3_vo022s | 316 | B3_my617s | 252 |
| B3_vsf28s | 332 | B3_vo085s | 303 | B3_my618s | 252 |
| B3_vsf40s | 332 | B3_vo057s | 72 | B3_my629s | 252 |
| B3_vsf15s | 332 | B3_vo059s | 72 | B3_my511s | 469 |
| B3_vsk002s | 356 | B3_vo061s | 72 | B3_my512s | 469 |
| B3_vsk003s | 356 | B3_vo063s | 72 | B3_my610s | 238 |
| B3_vsk001s | 587 | B3_vo064s | 72 | B3_my611s | 238 |
| B3_vsk004s | 584 | B3_vo065s | 72 | B3_my613s | 238 |
| B3_vsk005s | 353 | B3_vo066s | 72 | B3_my619s | 238 |
| B3_vsk006s | 353 | B3_vo067s | 72 | B3_my515s | 231 |
| B3_vsk007s | 64 | B3_vo068s | 310 | B3_my516s | 231 |
| B3_vsk008s | 64 | B3_vo069s | 72 | B3_my620s | 231 |
| B3_vsk009s | 64 | B3_vo023s | 252 | B3_my621s | 231 |
| B3_vsk010s | 72 | B3_vo026s | 252 | B3_my626s | 231 |
| B3_vsk011s | 303 | B3_vo027s | 252 | NA | NA |
| B3_vsk012s | 72 | B3_vo028s | 252 | NA | NA |
We have 178 dichotomous items, and 0 polytomous items. Here is the the distribution of percentage correct for the dichotomous items:
The items were never answered incorrectly, and are removed from further analysis.
Also, 1762 students did not receive any items from this category.
The resulting test information curve is as follows:
| a | d | |
|---|---|---|
| B3_vsf01s | 1.0 | -3.0 |
| B3_vsf44s | 0.9 | -1.5 |
| B3_vsf47s | 1.2 | -2.1 |
| B3_vsf29s | 1.1 | -1.9 |
| B3_vsf49s | 1.1 | -2.3 |
| B3_vsf03s | 0.9 | -3.5 |
| B3_vsf19s | 0.9 | -2.9 |
| B3_vsf18s | 0.9 | -3.2 |
| B3_vsf16s | 0.9 | -3.0 |
| B3_vsf08s | 0.7 | -2.2 |
| B3_vsf22s | 0.8 | -3.0 |
| B3_vsf41s | 1.1 | -2.7 |
| B3_vsf11s | 0.8 | -3.4 |
| B3_vsf13s | 0.9 | -2.8 |
| B3_vsf07s | 0.9 | -2.2 |
| B3_vsf42s | 1.1 | -2.7 |
| B3_vsf27s | 1.6 | -2.4 |
| B3_vsf35s | 1.2 | -1.8 |
| B3_vsf10s | 0.7 | -3.2 |
| B3_vsf21s | 1.2 | -2.6 |
| B3_vsf26s | 0.9 | -3.1 |
| B3_vsf46s | 1.9 | -1.8 |
| B3_vsf17s | 0.9 | -2.8 |
| B3_vsf06s | 0.7 | -2.1 |
| B3_vsf12s | 0.6 | -3.3 |
| B3_vsf37s | 0.8 | -2.8 |
| B3_vsf33s | 1.2 | -2.9 |
| B3_vsf24s | 0.8 | -3.6 |
| B3_vsf43s | 0.7 | -4.6 |
| B3_vsf30s | 0.8 | -3.7 |
| B3_vsf38s | 1.2 | -2.0 |
| B3_vsf25s | 0.8 | -3.0 |
| B3_vsf48s | 0.9 | -3.5 |
| B3_vsf02s | 1.3 | -2.6 |
| B3_vsf31s | 0.9 | -2.9 |
| B3_vsf45s | 1.4 | -1.7 |
| B3_vsf14s | 1.6 | -2.2 |
| B3_vsf09s | 0.6 | -3.5 |
| B3_vsf34s | 1.2 | -1.8 |
| B3_vsf05s | 1.1 | -2.0 |
| B3_vsf39s | 1.9 | -2.2 |
| B3_vsf20s | 1.3 | -2.0 |
| B3_vsf36s | 1.1 | -1.9 |
| B3_vsf23s | 1.3 | -2.1 |
| B3_vsf04s | 0.8 | -4.0 |
| B3_vsf28s | 0.9 | -3.3 |
| B3_vsf40s | 1.4 | -1.9 |
| B3_vsf15s | 0.8 | -3.9 |
| B3_vsk002s | 1.6 | -0.5 |
| B3_vsk003s | 1.5 | -0.5 |
| B3_vsk001s | 1.2 | -0.5 |
| B3_vsk004s | 0.8 | 0.3 |
| B3_vsk005s | 1.8 | -0.2 |
| B3_vsk006s | 1.8 | -0.8 |
| B3_vsk007s | 1.5 | 1.0 |
| B3_vsk008s | 0.9 | 0.1 |
| B3_vsk009s | 1.6 | -1.2 |
| B3_vsk010s | 1.5 | -1.3 |
| B3_vsk011s | 1.2 | -0.8 |
| B3_vsk012s | 0.9 | 0.8 |
| B3_vsk015s | 0.8 | 0.1 |
| B3_vsk013s | 1.0 | 0.6 |
| B3_vsk014s | 0.8 | 0.9 |
| B3_vsk016s | 0.6 | 1.4 |
| B3_vsk017s | 1.2 | -0.6 |
| B3_vsk018s | 0.8 | 0.4 |
| B3_vo058s | 0.8 | 0.2 |
| B3_vo001s | 0.6 | 1.5 |
| B3_vo002s | 0.9 | 0.1 |
| B3_vo003s | 1.4 | -0.4 |
| B3_vo004s | 1.5 | -0.2 |
| B3_vo005s | 1.3 | -0.3 |
| B3_vo006s | 2.2 | -0.8 |
| B3_vo007s | 1.6 | 0.1 |
| B3_vo008s | 1.7 | -0.6 |
| B3_vo009s | 1.9 | -0.5 |
| B3_vo010s | 1.7 | -0.7 |
| B3_vo011s | 1.4 | -0.1 |
| B3_vo054s | 2.1 | -0.7 |
| B3_vo056s | 1.9 | -0.4 |
| B3_vo077s | 0.9 | 0.5 |
| B3_vo043s | 1.2 | 0.2 |
| B3_vo044s | 1.1 | 0.3 |
| B3_vo045s | 2.3 | -0.6 |
| B3_vo046s | 2.2 | -0.5 |
| B3_vo047s | 1.3 | -0.2 |
| B3_vo048s | 1.4 | 0.3 |
| B3_vo049s | 1.7 | -0.5 |
| B3_vo050s | 1.5 | 0.2 |
| B3_vo051s | 1.9 | -0.8 |
| B3_vo052s | 1.7 | -0.3 |
| B3_vo053s | 1.7 | -0.5 |
| B3_vo055s | 0.6 | 3.5 |
| B3_vo084s | 0.4 | -2.1 |
| B3_vo012s | 0.9 | 0.0 |
| B3_vo013s | 1.3 | -0.2 |
| B3_vo014s | 1.1 | -0.1 |
| B3_vo015s | 1.3 | 0.4 |
| B3_vo016s | 1.2 | -0.1 |
| B3_vo017s | 0.6 | 1.1 |
| B3_vo018s | 1.2 | -0.1 |
| B3_vo019s | 1.8 | 0.6 |
| B3_vo020s | 1.8 | -0.7 |
| B3_vo021s | 0.8 | 0.4 |
| B3_vo022s | 0.5 | 2.6 |
| B3_vo085s | 1.4 | -1.0 |
| B3_vo057s | 0.9 | 0.2 |
| B3_vo059s | 0.7 | 0.4 |
| B3_vo061s | 0.6 | 2.4 |
| B3_vo063s | 2.1 | -1.0 |
| B3_vo064s | 2.0 | -0.5 |
| B3_vo065s | 1.9 | -1.4 |
| B3_vo066s | 0.9 | 0.7 |
| B3_vo067s | 0.7 | -0.4 |
| B3_vo068s | 0.6 | 0.5 |
| B3_vo069s | 1.5 | 0.5 |
| B3_vo023s | 0.8 | 1.5 |
| B3_vo026s | 1.5 | -0.1 |
| B3_vo027s | 2.5 | -0.7 |
| B3_vo028s | 2.1 | -0.8 |
| B3_vo029s | 1.2 | 0.3 |
| B3_vo030s | 0.9 | -0.2 |
| B3_vo031s | 0.3 | 2.9 |
| B3_vo071s | 1.2 | 0.9 |
| B3_vo074s | 0.7 | -1.1 |
| B3_vo076s | 1.2 | -1.2 |
| B3_vo078s | 1.3 | -1.7 |
| B3_vo079s | 0.8 | 2.2 |
| B3_vo080s | 1.1 | 0.9 |
| B3_vo081s | 0.6 | 1.1 |
| B3_vo082s | 0.9 | -0.6 |
| B3_vo083s | 1.2 | -0.5 |
| B3_vo087s | 1.5 | -0.4 |
| B3_vo088s | 0.8 | -0.4 |
| B3_vo090s | 0.5 | 1.7 |
| B3_vo092s | 0.7 | 0.9 |
| B3_vo093s | 1.1 | 0.0 |
| B3_vo094s | 1.4 | -0.5 |
| B3_my501s | 1.0 | -2.1 |
| B3_my502s | 1.0 | -2.7 |
| B3_my601s | 0.6 | -1.2 |
| B3_my603s | 1.1 | -1.7 |
| B3_my605s | 1.0 | -1.5 |
| B3_my622s | 0.8 | -1.7 |
| B3_my504s | 0.7 | -1.7 |
| B3_my602s | 0.9 | -2.2 |
| B3_my604s | 0.8 | -1.0 |
| B3_my606s | 1.0 | -1.9 |
| B3_my623s | 0.9 | -2.2 |
| B3_my505s | 0.8 | 0.4 |
| B3_my507s | 2.1 | -1.1 |
| B3_my607s | 1.4 | -1.9 |
| B3_my612s | 1.7 | -1.3 |
| B3_my614s | 1.8 | -1.9 |
| B3_my627s | 0.9 | -1.8 |
| B3_my506s | 0.7 | -0.2 |
| B3_my508s | 0.1 | -20.4 |
| B3_my608s | 0.8 | -1.9 |
| B3_my615s | 1.0 | -3.1 |
| B3_my616s | 0.7 | -2.8 |
| B3_my503s | 1.5 | -2.4 |
| B3_my509s | 1.1 | -2.2 |
| B3_my510s | 0.7 | -2.0 |
| B3_my609s | 0.5 | -1.7 |
| B3_my617s | 0.8 | -0.3 |
| B3_my618s | 1.2 | -2.6 |
| B3_my629s | 1.4 | -1.2 |
| B3_my511s | 1.0 | 0.1 |
| B3_my512s | 0.8 | 1.3 |
| B3_my610s | 0.9 | -1.7 |
| B3_my611s | 1.0 | -0.9 |
| B3_my613s | 0.7 | -3.6 |
| B3_my619s | 0.9 | -1.5 |
| B3_my515s | 0.8 | -2.9 |
| B3_my516s | 0.5 | -0.4 |
| B3_my620s | 0.7 | -3.0 |
| B3_my621s | 0.7 | -3.6 |
| B3_my626s | 0.7 | -2.0 |
We might also look at this visually, with tracelines.
Items with low discrimination (less than 0.5).
## [1] "B3_vo084s" "B3_vo031s" "B3_my508s"
| item1 | observation1 | item2 | observation2 | item3 | observation3 |
|---|---|---|---|---|---|
| B3_lf002s | 532 | B3_lf055s | 597 | B3_sl0704s | 1139 |
| B3_lf003s | 532 | B3_lf057s | 265 | B3_sl122s | 786 |
| B3_lf072s | 532 | B3_lf059s | 265 | B3_sl232s | 786 |
| B3_lf073s | 532 | B3_lf053s | 265 | B3_sl262s | 786 |
| B3_lf044s | 532 | B3_lf069s | 784 | B3_sl0201s | 786 |
| B3_lf045s | 532 | B3_lf070s | 784 | B3_sl271s | 790 |
| B3_lf046s | 532 | B3_lf006s | 452 | B3_sl0203s | 525 |
| B3_lf047s | 532 | B3_lf007s | 452 | B3_sl1701s | 525 |
| B3_lf048s | 532 | B3_lf008s | 452 | B3_sl0503s | 857 |
| B3_lf060s | 786 | B3_lf009s | 452 | B3_sl162s | 525 |
| B3_lf061s | 786 | B3_lf010s | 452 | B3_sl241s | 525 |
| B3_lf062s | 786 | B3_lf011s | 452 | B3_sl281s | 265 |
| B3_lf051s | 878 | B3_lf079s | 452 | B3_sl0301s | 655 |
| B3_lf052s | 878 | B3_lf080s | 452 | B3_sl0701s | 265 |
| B3_lf066s | 915 | B3_lf001s | 784 | B3_sl2001s | 265 |
| B3_lf067s | 915 | B3_lf029s | 390 | B3_sl173s | 265 |
| B3_lf068s | 915 | B3_lf030s | 390 | B3_sl242s | 265 |
| B3_lf017s | 525 | B3_lf031s | 390 | B3_sl0702s | 452 |
| B3_lf018s | 525 | B3_lf032s | 390 | B3_sl1801s | 452 |
| B3_lf019s | 525 | B3_lf033s | 390 | B3_sl0604s | 452 |
| B3_lf020s | 525 | B3_lf034s | 390 | B3_sl182s | 452 |
| B3_lf021s | 525 | B3_lf035s | 390 | B3_sl243s | 452 |
| B3_lf022s | 525 | B3_lf036s | 390 | B3_sl291s | 805 |
| B3_lf004s | 254 | B3_lf037s | 390 | B3_sl0401s | 452 |
| B3_lf005s | 254 | B3_lf012s | 353 | B3_sl0703s | 390 |
| B3_lf074s | 254 | B3_lf013s | 353 | B3_sl2301s | 390 |
| B3_lf075s | 254 | B3_lf014s | 353 | B3_sl183s | 390 |
| B3_lf076s | 254 | B3_lf015s | 353 | B3_sl251s | 390 |
| B3_lf077s | 254 | B3_lf016s | 353 | B3_sl301s | 722 |
| B3_lf078s | 254 | B3_lf063s | 353 | B3_sl0501s | 390 |
| B3_lf065s | 254 | B3_lf064s | 353 | B3_sl0502s | 353 |
| B3_lf071s | 254 | B3_lf038s | 332 | B3_sl202s | 353 |
| B3_lf049s | 618 | B3_lf039s | 332 | B3_sl252s | 353 |
| B3_lf050s | 618 | B3_lf040s | 332 | B3_sl302s | 353 |
| B3_lf023s | 265 | B3_lf041s | 332 | B3_sl321s | 353 |
| B3_lf024s | 265 | B3_lf042s | 332 | B3_sl0801s | 332 |
| B3_lf025s | 265 | B3_lf043s | 332 | B3_sl212s | 332 |
| B3_lf026s | 265 | B3_lf056s | 332 | B3_sl261s | 332 |
| B3_lf027s | 265 | B3_lf058s | 332 | B3_sl311s | 332 |
| B3_lf028s | 265 | B3_sl0601s | 786 | B3_sl331s | 332 |
| B3_lf054s | 597 | B3_sl0803s | 786 | NA | NA |
We have 122 dichotomous items, and 0 polytomous items. Here is the the distribution of percentage correct for the dichotomous items:
The items were never answered incorrectly, and are removed from further analysis.
Also, 1762 students did not receive any items from this category.
The resulting test information curve is as follows:
| a | d | |
|---|---|---|
| B3_lf002s | 1.4 | -1.1 |
| B3_lf003s | 1.2 | -0.7 |
| B3_lf072s | 1.0 | -1.6 |
| B3_lf073s | 1.2 | -1.3 |
| B3_lf044s | 1.9 | -0.1 |
| B3_lf045s | 1.9 | -0.3 |
| B3_lf046s | 1.3 | 0.3 |
| B3_lf047s | 1.9 | 0.0 |
| B3_lf048s | 0.8 | 1.9 |
| B3_lf060s | 1.0 | -0.2 |
| B3_lf061s | 1.3 | -0.1 |
| B3_lf062s | 1.3 | -0.2 |
| B3_lf051s | 1.0 | 0.1 |
| B3_lf052s | 1.0 | 0.0 |
| B3_lf066s | 1.1 | 0.3 |
| B3_lf067s | 1.2 | -0.3 |
| B3_lf068s | 1.3 | 0.0 |
| B3_lf017s | 1.9 | -0.1 |
| B3_lf018s | 2.1 | -0.2 |
| B3_lf019s | 2.4 | -0.3 |
| B3_lf020s | 2.4 | -0.4 |
| B3_lf021s | 1.6 | -0.3 |
| B3_lf022s | 1.6 | -0.2 |
| B3_lf004s | 2.1 | -0.3 |
| B3_lf005s | 0.5 | 1.3 |
| B3_lf074s | 1.8 | -0.3 |
| B3_lf075s | 0.5 | 0.6 |
| B3_lf076s | 2.3 | -0.5 |
| B3_lf077s | 1.2 | 0.4 |
| B3_lf078s | 1.0 | 0.6 |
| B3_lf065s | 1.9 | 0.0 |
| B3_lf071s | 0.4 | 0.9 |
| B3_lf049s | 0.7 | 0.3 |
| B3_lf050s | 1.0 | 0.3 |
| B3_lf023s | 1.6 | 0.0 |
| B3_lf024s | 1.6 | 0.3 |
| B3_lf025s | 2.4 | 0.1 |
| B3_lf026s | 2.2 | -0.1 |
| B3_lf027s | 1.3 | -0.2 |
| B3_lf028s | 1.8 | 0.2 |
| B3_lf054s | 1.5 | -0.5 |
| B3_lf055s | 1.9 | -0.2 |
| B3_lf057s | 1.2 | 0.2 |
| B3_lf059s | 1.7 | -0.2 |
| B3_lf053s | 1.4 | -0.2 |
| B3_lf069s | 0.6 | 0.2 |
| B3_lf070s | 1.0 | 0.0 |
| B3_lf006s | 1.1 | 0.2 |
| B3_lf007s | 0.6 | 1.0 |
| B3_lf008s | 1.7 | 0.2 |
| B3_lf009s | 1.2 | 0.6 |
| B3_lf010s | 1.6 | 0.1 |
| B3_lf011s | 1.1 | 0.5 |
| B3_lf079s | 1.4 | -1.2 |
| B3_lf080s | 1.0 | -0.8 |
| B3_lf001s | 1.1 | -0.4 |
| B3_lf029s | 0.9 | -0.4 |
| B3_lf030s | 1.3 | 0.2 |
| B3_lf031s | 1.9 | 0.3 |
| B3_lf032s | 1.3 | -0.3 |
| B3_lf033s | 1.4 | 0.2 |
| B3_lf034s | 2.2 | -0.2 |
| B3_lf035s | 2.0 | -0.3 |
| B3_lf036s | 2.0 | 0.0 |
| B3_lf037s | 0.7 | 0.8 |
| B3_lf012s | 1.5 | -0.7 |
| B3_lf013s | 1.4 | -0.6 |
| B3_lf014s | 1.7 | -0.2 |
| B3_lf015s | 1.5 | -0.2 |
| B3_lf016s | 1.1 | 0.3 |
| B3_lf063s | 0.9 | -0.3 |
| B3_lf064s | 0.9 | -0.1 |
| B3_lf038s | 1.4 | 0.1 |
| B3_lf039s | 1.3 | 0.7 |
| B3_lf040s | 1.6 | 0.0 |
| B3_lf041s | 1.9 | 0.0 |
| B3_lf042s | 1.6 | -0.2 |
| B3_lf043s | 1.7 | 0.2 |
| B3_lf056s | 0.8 | -0.2 |
| B3_lf058s | 0.7 | 2.0 |
| B3_sl0601s | 0.9 | -1.9 |
| B3_sl0803s | 1.1 | -0.9 |
| B3_sl0704s | 1.9 | -1.0 |
| B3_sl122s | 1.1 | -1.4 |
| B3_sl232s | 1.1 | -1.1 |
| B3_sl262s | 1.4 | -1.3 |
| B3_sl0201s | 1.2 | 0.5 |
| B3_sl271s | 1.3 | -1.5 |
| B3_sl0203s | 1.3 | -1.0 |
| B3_sl1701s | 1.4 | -0.9 |
| B3_sl0503s | 1.5 | -1.0 |
| B3_sl162s | 1.7 | -1.3 |
| B3_sl241s | 1.6 | -1.6 |
| B3_sl281s | 0.7 | -0.7 |
| B3_sl0301s | 1.2 | -0.9 |
| B3_sl0701s | 1.0 | -1.0 |
| B3_sl2001s | 1.0 | -1.1 |
| B3_sl173s | 1.0 | -0.9 |
| B3_sl242s | 1.3 | -1.8 |
| B3_sl0702s | 1.1 | -1.7 |
| B3_sl1801s | 1.3 | -0.8 |
| B3_sl0604s | 1.2 | -1.0 |
| B3_sl182s | 1.0 | -1.4 |
| B3_sl243s | 1.5 | -1.1 |
| B3_sl291s | 1.8 | -0.9 |
| B3_sl0401s | 1.8 | -0.9 |
| B3_sl0703s | 1.3 | -1.3 |
| B3_sl2301s | 1.6 | -1.3 |
| B3_sl183s | 1.0 | -1.2 |
| B3_sl251s | 0.4 | 0.2 |
| B3_sl301s | 1.5 | -1.4 |
| B3_sl0501s | 0.9 | -1.4 |
| B3_sl0502s | 1.6 | -0.8 |
| B3_sl202s | 2.0 | -1.1 |
| B3_sl252s | 1.6 | -1.0 |
| B3_sl302s | 1.1 | -1.1 |
| B3_sl321s | 2.1 | -0.9 |
| B3_sl0801s | 1.4 | -1.2 |
| B3_sl212s | 1.5 | -1.4 |
| B3_sl261s | 1.4 | -1.2 |
| B3_sl311s | 1.2 | -1.3 |
| B3_sl331s | 1.2 | -0.7 |
We might also look at this visually, with tracelines.
Items with low discrimination (less than 0.5).
## [1] "B3_lf075s" "B3_lf071s" "B3_sl251s"
| item1 | observation1 | item2 | observation2 | item3 | observation3 |
|---|---|---|---|---|---|
| B3_st140s | 504 | B3_st152s | 246 | B3_st147s | 722 |
| B3_st101s | 760 | B3_st151s | 239 | B3_st145s | 390 |
| B3_st102s | 505 | B3_st134s | 245 | B3_st142s | 390 |
| B3_st103s | 502 | B3_st115s | 254 | B3_st123s | 390 |
| B3_st160s | 504 | B3_st159s | 246 | B3_st148s | 390 |
| B3_st155s | 504 | B3_st116s | 246 | B3_st128s | 390 |
| B3_st117s | 497 | B3_st122s | 242 | B3_st157s | 338 |
| B3_st110s | 493 | B3_st112s | 242 | B3_st162s | 331 |
| B3_st141s | 749 | B3_st114s | 243 | B3_st144s | 338 |
| B3_st105s | 752 | B3_st153s | 428 | B3_st129s | 336 |
| B3_st106s | 492 | B3_st154s | 763 | B3_st126s | 335 |
| B3_st136s | 490 | B3_st149s | 773 | B3_st121s | 338 |
| B3_st150s | 486 | B3_st124s | 437 | B3_st131s | 337 |
| B3_st125s | 477 | B3_st138s | 426 | B3_st119s | 327 |
| B3_st161s | 476 | B3_st133s | 424 | B3_st139s | 323 |
| B3_st113s | 468 | B3_st130s | 426 | B3_st146s | 321 |
| B3_st107s | 247 | B3_st132s | 423 | B3_st120s | 318 |
| B3_st108s | 688 | B3_st118s | 712 | B3_st135s | 332 |
| B3_st111s | 248 | B3_st156s | 722 | NA | NA |
We have 50 dichotomous items, and 0 polytomous items. Here is the the distribution of percentage correct for the dichotomous items:
The items were never answered incorrectly, and are removed from further analysis.
Also, 1762 students did not receive any items from this category.
Troublesome items! Initial IRT resulted in negative discriminatin for item B3_st101s and very low for B3_st149s which where removed prior to IRT. Also, B3_st156s had very high discrimination (44) and was removed. The resulting test information curve is as follows:
| a | d | |
|---|---|---|
| B3_st140s | 1.0 | -2.6 |
| B3_st102s | 1.2 | -2.8 |
| B3_st103s | 0.3 | -6.5 |
| B3_st160s | 1.0 | -0.9 |
| B3_st155s | 1.7 | 0.2 |
| B3_st117s | 1.8 | 0.1 |
| B3_st110s | 1.2 | -0.1 |
| B3_st141s | 1.2 | -1.2 |
| B3_st105s | 0.9 | -1.1 |
| B3_st106s | 1.3 | -0.9 |
| B3_st136s | 1.2 | -0.4 |
| B3_st150s | 1.1 | -2.4 |
| B3_st125s | 1.1 | 1.2 |
| B3_st161s | 2.1 | 1.2 |
| B3_st113s | 1.8 | -1.2 |
| B3_st107s | 1.9 | -1.5 |
| B3_st108s | 1.4 | -2.5 |
| B3_st111s | 1.3 | -0.6 |
| B3_st152s | 1.4 | 0.8 |
| B3_st151s | 2.0 | -1.8 |
| B3_st134s | 1.4 | -3.7 |
| B3_st115s | 1.6 | -1.5 |
| B3_st159s | 1.7 | -1.7 |
| B3_st116s | 1.9 | 0.8 |
| B3_st122s | 2.7 | 0.9 |
| B3_st112s | 1.2 | 2.5 |
| B3_st114s | 2.1 | 0.4 |
| B3_st153s | 1.2 | -3.2 |
| B3_st154s | 0.7 | -2.7 |
| B3_st124s | 1.1 | -2.1 |
| B3_st138s | 2.4 | 0.5 |
| B3_st133s | 2.4 | 1.2 |
| B3_st130s | 2.6 | 0.4 |
| B3_st132s | 1.9 | 1.1 |
| B3_st118s | 3.5 | 1.3 |
| B3_st147s | 1.8 | 0.2 |
| B3_st157s | 0.4 | -2.4 |
| B3_st162s | 2.7 | 0.6 |
| B3_st144s | 0.9 | 0.2 |
| B3_st129s | 2.0 | 1.0 |
| B3_st126s | 2.0 | 0.6 |
| B3_st121s | 2.5 | 0.7 |
| B3_st131s | 3.0 | 0.3 |
| B3_st119s | 1.5 | -0.4 |
| B3_st139s | 1.5 | -0.2 |
| B3_st146s | 2.3 | 1.1 |
| B3_st120s | 2.1 | 0.6 |
We might also look at this visually, with tracelines.
Items with low discrimination (less than 0.5).
## [1] "B3_st103s" "B3_st157s"
NB: These must be removed!! and analysis is re-run