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I HC QUC GIA H NI VIN M BO CHT LNG GIO DC ----------

BI TP PHN TCH THI V KT QU THI Mn ting Anh k thi tuyn sinh vo lp 10 trng THPT chuyn Quang Trung nm hc 2010 - 2011 Mn hc: M hnh Rasch v Phn tch d liu bng phn mm QUEST

Ging vin: TS Phm Xun Thanh

Hc vin: Nguyn Vn Nghim Lp Thc s o lng nh gi Kha 3 (2010) TP. HCM

TP. H Ch Minh, thng 5/2011

MC LCMC LC ............................................................................................................. 1 Chng 1. Tng quan tiu lun ............................................................................. 2 1. Gii thiu v d liu thi ............................................................................ 2 2. Mc ch, yu cu .......................................................................................... 2 3. Cu trc tiu lun gm 5 chng: ................................................................. 2 4. Phng php thc hin .................................................................................. 3 Chng 2. Phn tch thi bng l thuyt c in ............................................... 4 1. kh ca cu hi thi: .................................................................................. 4 2. Cc kh nng nhm p n ............................................................................ 5 3. Cht lng ca cc phng n sai (mi nh) ................................................ 5 4. phn bit ca cu hi thi .......................................................................... 8 5. H s tng quan gia im ca cu hi thi vi im ton bi thi ............... 9 6. tin cy ca thi .................................................................................... 10 7. Kt lun chng 2 ........................................................................................ 10 Chng 3. X l s liu v phn tch thi bng l thuyt hin i .................. 12 1. S ph hp ca cu hi thi .......................................................................... 12 1.1. Mc ph hp vi m hnh: ............................................................... 12 1.2. Mc ph hp ca cc cu hi vi nhau ............................................ 13 2. Phn b kh cu hi thi v nng lc th sinh .......................................... 14 3. Cc ch s thng k ca cu hi................................................................... 16 4. Kho st cc cu hi c tnh nh kin, thin v .......................................... 18 5. Kt lun chng 3 ........................................................................................ 20 Chng 4. Kt lun & kin ngh ......................................................................... 22 PH LC ............................................................................................................ 24

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Chng 1. Tng quan tiu lun1. Gii thiu v d liu thi B d liu l kt qu lm bi thi tuyn vo lp 10 trng THPT chuyn Quang Trung nm hc 2010 2011 mn ting Anh vi 50 cu hi trc nghim (dng 4 la chn) gm 1625 th sinh tham gia d thi. File d liu c 54 bin gm: mahs, mahuyen, matruong, gioi, Cau1, Cau2, Cau3, Cau4, Cau5, Cau6, Cau7, Cau8, Cau9, Cau10, Cau11, Cau12, Cau13, Cau14, Cau15, Cau16, Cau17, Cau18, Cau19, Cau20, Cau21, Cau22, Cau23, Cau24, Cau25, Cau26, Cau27, Cau28, Cau29, Cau30, Cau31, Cau32, Cau33, Cau34, Cau35, Cau36, Cau37, Cau38, Cau39, Cau40, Cau41, Cau42, Cau43, Cau44, Cau45, Cau46, Cau47, Cau48, Cau49, Cau50. Trong mahs l m s th sinh (case), mahuyen l m huyn (ni th sinh c tr), matruong l m s trng th sinh hc lp 9, gioi l thng tin v gii tnh (0 l n, 1 l nam) v cc bin t Cau1 n Cau50 l kt qu tr li ca 50 cu trc nghim (item). 2. Mc ch, yu cu Tiu lun ny vn dng l thuyt kho th c in v l thuyt kho th hin i nhm nh gi cu hi thi. Qua c th tr li cc cu hi nghin cu nh: - thi c ph hp vi nng lc ca nhm th sinh d thi hay khng? Nu cha ph hp th cn iu chnh nh th no? - C cu hi no trong khng ph hp v cn chnh sa hay loi b hay khng? Nhng phn tch ny l c s la chn cu hi t cht lng xy dng ngn hng cu hi thi cho k thi tuyn u vo trng THPT chuyn Quang Trung. ng thi a ra khuyn co cho cng tc vit cu hi trc nghim trong nhng ln ra sau ny t cht lng c tt nht. 3. Cu trc tiu lun gm 4 chng: Chng 1. Tng quan tiu lun Chng 2. Phn tch thi bng l thuyt c inTrang | 2

Chng 3. Phn tch thi bng l thuyt hin i Chng 4. Kt lun 4. Phng php thc hin S dng phn mm MS Excel, Quest, SPSS x l s liu. Da trn l thuyt kho th c in v kho th hin i (m hnh Rasch) phn tch s liu c x l bng cc phn mm ni trn.

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Chng 2. Phn tch thi bng l thuyt c in1. kh ca cu hi thi: kh ca cu hi thi (P) l t l th sinh tr li ng so vi tng s th sinh tham gia tr li cu hi . Kt qu phn tch s liu c th hin bng thng k di y:Phng n Cu A 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 13.05 67.38 5.48 51.69 19.02 24.92 14.28 38.77 12.80 13.72 16.80 21.97 11.02 56.37 32.49 21.91 15.57 21.11 50.65 4.86 19.08 20.80 11.88 51.69 21.42 B 9.35 4.18 15.75 27.38 37.48 16.62 13.54 19.51 52.86 52.49 8.80 22.34 60.00 12.55 19.02 25.11 48.25 16.18 10.34 3.57 16.25 13.78 60.62 32.00 45.60 C 6.40 18.09 55.51 8.92 30.46 14.89 61.91 18.15 18.71 14.95 12.06 36.55 9.91 19.88 21.54 30.28 24.18 34.77 16.92 3.88 47.51 27.08 12.49 7.57 17.85 D 70.65 9.72 21.54 11.32 11.63 42.34 9.42 20.98 14.22 18.09 61.48 17.78 18.34 9.78 26.22 21.91 11.08 26.95 21.11 87.20 16.12 36.86 13.97 8.25 14.03 0.55 0.62 1.72 0.68 1.42 1.23 0.86 2.58 1.42 0.74 0.86 1.35 0.74 1.42 0.74 0.80 0.92 0.98 0.98 0.49 1.05 1.48 1.05 0.49 1.11 St kh 0.71 0.67 0.56 0.52 0.37 0.25 0.62 0.39 0.53 0.52 0.61 0.37 0.60 0.56 0.32 0.30 0.48 0.27 0.51 0.87 0.48 0.37 0.61 0.52 0.46 Phng n Cu A 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 11.88 37.42 11.26 27.45 15.75 16.98 27.94 6.71 16.68 19.57 15.75 24.00 50.03 61.23 17.29 34.03 17.42 22.46 14.95 21.54 14.03 24.31 9.42 17.72 21.66 B 65.35 18.58 16.62 9.91 11.69 41.17 18.28 48.00 12.43 15.69 15.20 26.22 12.74 11.14 7.63 18.95 16.74 41.91 53.54 42.46 54.77 25.97 43.57 14.71 16.31 C 13.85 22.34 29.60 9.42 42.77 15.57 39.82 24.86 23.02 49.42 25.66 37.91 12.80 15.88 51.45 24.55 25.42 19.26 15.32 18.65 15.45 35.94 24.98 24.43 26.09 D 8.12 20.18 41.54 52.12 28.62 24.86 12.31 19.63 46.46 14.15 42.52 10.34 23.32 10.65 22.46 21.23 39.75 15.51 15.38 16.49 14.95 12.43 21.42 42.03 34.71 0.80 1.48 0.98 1.11 1.17 1.42 1.66 0.80 1.42 1.17 0.86 1.54 1.11 1.11 1.17 1.23 0.68 0.86 0.80 0.86 0.80 1.35 0.62 1.11 1.23 St kh 0.65 0.37 0.42 0.52 0.43 0.41 0.40 0.48 0.46 0.49 0.43 0.38 0.50 0.61 0.51 0.34 0.40 0.42 0.54 0.42 0.55 0.36 0.44 0.42 0.35

Bng 1. kh cu hi thi kh S cu (%)

>0.8 1 2.0

>0.7 2 4.0

>0.65 4 8.0

>=0.6 9 18.0

0.2 >0.1 >0 0.75 >0.6 >0.5 >=0.4 >=0.3 - MAPthiTS.map show cases!scale=thiTS; form=export; delimiter=tab >thiTS.cas show cases!scale=thiTS >-thiTSa.cas show items!scale=thiTS >-thiTSa.itm itanal ! scale=thiTS >- thiTS.ita * Cai nay viet them show cases!scale=thiTS >- thiTS-1.nvn itanal ! scale=thiTS; form=export; delimiter=tab >thiTS-2.nvn quit

Ph lc 6. File iu khin *.ctl cho chng trnh QUEST x l file data_diem.dat tnh s nh kin, thin v ca cu hi thi.TITLE TUYEN SINH 2010 SET Logon >- thitsCom.log set width=132!page DATA_FILE data_diem.dat CODES 019 RECODE (019) (010) ! 1-50 FORMAT NAME 1-8 huyen 9-10 ITEMS 16-65 GROUP (huyen =07) !TT SCALE 1-50 ! thits * Chy ln 2 (b cu 28) * SCALE 1-27,29-50 ! thits ESTIMATE !iter=50; Group= TT; SCALE=thits ESTIMATE !iter=50; Group=NT; SCALE=thits compare item_ests ! scale=thits;group=NT,TT;FORM=diffMAP>Mapcompare.thi ITANAL ITANAL show ! show ! Quit ! Group= TT; scale=thits >- ITANtt.thi ! Group=NT; scale=thits >- ITANnt.thi Group= TT; scale=thits >- MAPthiTS-TT.map Group= NT; scale=thits >- MAPthiTS-NT.map

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Ph lc 7. Thng s thng k ca cc cu hi thi c to ra t QUEST (chy d liu ln 3)TUYEN SINH 2010 --------------------------------------------------------------------------------------Item Analysis Results for Observed Responses 7/ 6/11 0: 8 all on 3-thits (N =1625 L = 47 Probability Level= .50) --------------------------------------------------------------------------------------....................................................................................... Item 1: item 1 Infit MNSQ = 1.09 Disc = .23 5 .3 -.02 .229 -.37 A 212 13.1 -.15 .000 -.38 1 B 152 9.4 -.15 .000 -.47 C 104 6.4 -.04 .055 -.17 D* 1148 70.8 .23 .000 .12 missing 4

Categories Count Percent (%) Pt-Biserial p-value Mean Ability Step Labels

-.13

Thresholds -1.06 Error .06 ....................................................................................... ....................................................................................... Item 2: item 2 Infit MNSQ = Disc = 9 .6 -.05 .020 -.67 A* 1095 67.4 .35 .000 .20 1 B 68 4.2 -.10 .000 -.44 C 294 18.1 -.22 .000 -.46 .99 .35 D 158 9.7 -.18 .000 -.55 missing 1


.22

Thresholds -.89 Error .06 ....................................................................................... ....................................................................................... Item 3: item 3 Infit MNSQ = 1.04 Disc = .34 26 1.6 -.02 .186 -.20 A 89 5.5 -.03 .156 -.13 1 B 256 15.8 -.16 .000 -.37 C* 902 55.6 .34 .000 .26 D 350 21.6 -.25 .000 -.46 missing 2


-.50

Thresholds -.32 Error .05 ....................................................................................... ....................................................................................... Item 4: item 4 Infit MNSQ = 1.00 Disc = .38

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10 .6 -.04 .066 -.47

A* 840 51.7 .38 .000 .33 1

B 445 27.4 -.19 .000 -.31

C 145 8.9 -.13 .000 -.42

D 184 11.3 -.21 .000 -.56

missing 1

-.10

Thresholds -.14 Error .05 ....................................................................................... ....................................................................................... Item 5: item 5 Infit MNSQ = Disc = 20 1.2 -.05 .028 -.43 A 309 19.1 -.22 .000 -.44 1 B* 609 37.5 .42 .000 .49 C 495 30.5 -.12 .000 -.20 .99 .42 D 189 11.7 -.18 .000 -.48 missing 3


-.29

Thresholds .53 Error .06 ....................................................................................... ....................................................................................... Item 7: item 7 Infit MNSQ = Disc = 10 .6 -.07 .003 -.82 A 232 14.3 -.20 .000 -.47 1 B 220 13.6 -.23 .000 -.56 C* 1006 62.1 .40 .000 .27 .96 .40 D 153 9.4 -.14 .000 -.43 missing 4


-.34

Thresholds -.62 Error .06 ....................................................................................... ....................................................................................... Item 8: item 8 Infit MNSQ = 1.02 Disc = .39 36 2.2 -.05 .025 -.32 A* 630 38.9 .39 .000 .43 1 B 317 19.6 -.10 .000 -.22 C 295 18.2 -.17 .000 -.36 D 341 21.1 -.19 .000 -.36 missing 6


.11

Thresholds .46 Error .06 ....................................................................................... .......................................................................................

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Item

9: item 9

Infit MNSQ = 1.00 Disc = .39 18 1.1 -.02 .158 -.26 A 208 12.8 -.16 .000 -.41 1 B* 859 53.0 .39 .000 .32 C 304 18.8 -.21 .000 -.42 D 231 14.3 -.16 .000 -.39 missing 5


-.68

Thresholds -.20 Error .05 ....................................................................................... ....................................................................................... Item 10: item 10 Infit MNSQ = 1.01 Disc = .37 12 .7 -.01 .411 -.08 A 223 13.7 -.20 .000 -.49 1 B* 853 52.5 .37 .000 .31 C 243 15.0 -.17 .000 -.40 D 294 18.1 -.14 .000 -.31 missing 0


NA

Thresholds -.18 Error .05 ....................................................................................... ....................................................................................... Item 11: item 11 Infit MNSQ = 1.01 Disc = .35 8 .5 -.06 .013 -.78 A 273 16.9 -.22 .000 -.47 1 B 143 8.8 -.16 .000 -.49 C 196 12.1 -.13 .000 -.35 D* 999 61.7 .35 .000 .24 missing 6


-.31



.01

Thresholds .58 Error .06 .......................................................................................

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....................................................................................... Item 13: item 13 Infit MNSQ = 1.02 Disc = .35 8 .5 -.04 .054 -.59 A 179 11.0 -.20 .000 -.55 1 B* 975 60.1 .35 .000 .24 C 161 9.9 -.13 .000 -.39 D 298 18.4 -.17 .000 -.35 missing 4


-.25



.16

Thresholds -.36 Error .05 ....................................................................................... ....................................................................................... Item 15: item 15 Infit MNSQ = Disc = 8 .5 -.03 .119 -.42 A* 528 32.6 .44 .000 .60 1 B 309 19.1 -.23 .000 -.47 C 350 21.6 -.12 .000 -.24 .96 .44 D 426 26.3 -.15 .000 -.27 missing 4


-.41

Thresholds .79 Error .06 ....................................................................................... ....................................................................................... Item 16: item 16 Infit MNSQ = 1.13 Disc = .29 11 .7 -.03 .120 -.37 A 356 21.9 -.18 .000 -.33 1 .92 B 408 25.1 .00 .476 -.03 C* 492 30.3 .29 .000 .40 D 356 21.9 -.14 .000 -.27 missing 2

Categories Count Percent (%) Pt-Biserial p-value Mean Ability Step Labels Thresholds

-.61

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Error .06 ....................................................................................... ....................................................................................... Item 17: item 17 Infit MNSQ = Disc = 10 .6 -.02 .194 -.30 A 253 15.6 -.16 .000 -.38 1 B* 784 48.4 .41 .000 .38 C 393 24.3 -.21 .000 -.37 .98 .41 D 180 11.1 -.17 .000 -.48 missing 5


-.39

Thresholds .01 Error .05 ....................................................................................... ....................................................................................... Item 19: item 19 Infit MNSQ = 1.05 Disc = .34 13 .8 -.07 .002 -.76 A* 823 50.7 .34 .000 .30 1 B 168 10.4 -.13 .000 -.39 C 275 17.0 -.06 .005 -.17 D 343 21.1 -.24 .000 -.46 missing 3


-.06

Thresholds -.10 Error .05 ....................................................................................... ....................................................................................... Item 20: item 20 Infit MNSQ = 1.01 Disc = .18 2 .1 -.02 .210 -.68 A 79 4.9 -.15 .000 -.64 1 B 58 3.6 -.04 .058 -.19 C 63 3.9 -.10 .000 -.50 D* 1417 87.5 .18 .000 .04 missing 6


-.48

Thresholds -2.20 Error .08 ....................................................................................... ....................................................................................... Item 21: item 21 Infit MNSQ = 1.08 Disc = .31 17 1.0 -.04 .069 -.39 A 310 19.1 -.14 .000 -.29 1 B 264 16.2 -.13 .000 -.29 C* 772 47.5 .31 .000 .29 D 262 16.1 -.14 .000 -.31 missing 0


NA

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Thresholds .05 Error .05 ....................................................................................... ....................................................................................... Item 22: item 22 Infit MNSQ = Disc = 20 1.2 -.03 .100 -.32 A 338 20.9 -.25 .000 -.47 1 B 224 13.8 -.21 .000 -.52 C 440 27.1 -.13 .000 -.23 .93 .48 D* 599 37.0 .48 .000 .58 missing 4


-.38

Thresholds .56 Error .06 ....................................................................................... ....................................................................................... Item 23: item 23 Infit MNSQ = Disc = 16 1.0 -.07 .004 -.66 A 193 11.9 -.17 .000 -.45 1 B* 985 60.7 .41 .000 .29 C 203 12.5 -.19 .000 -.49 .94 .42 D 227 14.0 -.23 .000 -.55 missing 1


-.33



.45

Thresholds -.14 Error .05 ....................................................................................... ....................................................................................... Item 25: item 25 Infit MNSQ = Disc = 16 1.0 -.06 .008 -.59 A 348 21.4 -.15 .000 -.30 B* 741 45.7 .42 .000 .42 C 290 17.9 -.18 .000 -.39 .98 .42 D 228 14.0 -.21 .000 -.50 missing 2

Categories Count Percent (%) Pt-Biserial p-value Mean Ability

-.62

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Step Labels

1

Thresholds .14 Error .05 ....................................................................................... ....................................................................................... Item 26: item 26 Infit MNSQ = Disc = 11 .7 -.07 .003 -.81 A 193 11.9 -.19 .000 -.51 1 B* 1062 65.4 .36 .000 .22 C 225 13.9 -.16 .000 -.39 .99 .36 D 132 8.1 -.18 .000 -.58 missing 2


.63

Thresholds -.79 Error .06 ....................................................................................... ....................................................................................... Item 27: item 27 Infit MNSQ = Disc = 21 1.3 -.03 .148 -.24 A* 608 37.5 .44 .000 .52 1 B 302 18.6 -.15 .000 -.32 C 363 22.4 -.17 .000 -.31 .97 .44 D 328 20.2 -.21 .000 -.41 missing 3


-.78

Thresholds .54 Error .06 ....................................................................................... ....................................................................................... Item 28: item 28 Infit MNSQ = 1.09 Disc = .31 10 .6 -.04 .041 -.58 A 183 11.3 -.19 .000 -.50 1 B 270 16.7 -.21 .000 -.47 C 481 29.7 -.02 .193 -.05 D* 675 41.7 .31 .000 .32 missing 6


-.82

Thresholds .33 Error .06 ....................................................................................... ....................................................................................... Item 29: item 29 Infit MNSQ = 1.02 Disc = .37 14 .9 -.04 A 446 27.5 -.23 B 161 9.9 -.07 C 153 9.4 -.19 D* 847 52.3 .37 missing 4

Categories Count Percent (%) Pt-Biserial

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p-value Mean Ability Step Labels

.077 -.42

.000 -.38 1

.003 -.23

.000 -.55

.000 .31

-1.15

Thresholds -.16 Error .05 ....................................................................................... ....................................................................................... Item 31: item 31 Infit MNSQ = 1.08 Disc = .33 19 1.2 -.06 .008 -.55 A 276 17.0 -.15 .000 -.33 1 B* 669 41.3 .33 .000 .35 C 253 15.6 -.18 .000 -.42 D 404 24.9 -.07 .001 -.15 missing 4


-.63

Thresholds .35 Error .06 ....................................................................................... ....................................................................................... Item 32: item 32 Infit MNSQ = Disc = 23 1.4 -.04 .064 -.33 A 454 28.0 -.20 .000 -.33 1 B 297 18.3 -.13 .000 -.29 C* 647 39.9 .42 .000 .47 .98 .42 D 200 12.3 -.19 .000 -.48 missing 4


-.32



-.23

Thresholds .03 Error .05 ....................................................................................... ....................................................................................... Item 34: item 34 Infit MNSQ = Disc = 18 A 271 B 202 C 374 .92 .48 D* 755 missing 5

Categories Count

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Percent (%) Pt-Biserial p-value Mean Ability Step Labels

1.1 -.03 .086 -.33

16.7 -.22 .000 -.48 1

12.5 -.22 .000 -.57

23.1 -.19 .000 -.34

46.6 .48 .000 .46

.22

Thresholds .09 Error .05 ....................................................................................... ....................................................................................... Item 35: item 35 Infit MNSQ = Disc = 19 1.2 -.06 .004 -.59 A 318 19.6 -.21 .000 -.42 1 B 255 15.7 -.20 .000 -.46 C* 803 49.4 .47 .000 .42 .93 .47 D 230 14.2 -.20 .000 -.49 missing 0


NA

Thresholds -.04 Error .05 ....................................................................................... ....................................................................................... Item 36: item 36 Infit MNSQ = Disc = 12 .7 -.05 .023 -.57 A 256 15.8 -.20 .000 -.45 1 B 247 15.2 -.22 .000 -.51 C 417 25.7 -.22 .000 -.38 .89 .51 D* 691 42.6 .51 .000 .54 missing 2


-.31

Thresholds .29 Error .06 ....................................................................................... ....................................................................................... Item 37: item 37 Infit MNSQ = 1.00 Disc = .41 22 1.4 -.05 .024 -.43 A 390 24.0 -.16 .000 -.30 1 B 426 26.3 -.19 .000 -.33 C* 616 38.0 .41 .000 .48 D 168 10.4 -.12 .000 -.37 missing 3


-.37

Thresholds .51 Error .06 ....................................................................................... ....................................................................................... Item 38: item 38 Infit MNSQ = 1.05 Disc = .34 A* B C D missing

Categories

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Count Percent (%) Pt-Biserial p-value Mean Ability Step Labels

12 .7 -.05 .018 -.60

813 50.2 .34 .000 .30 1

207 12.8 -.15 .000 -.40

208 12.8 -.21 .000 -.54

379 23.4 -.10 .000 -.21

6

-.58



-.56

Thresholds -.59 Error .06 ....................................................................................... ....................................................................................... Item 40: item 40 Infit MNSQ = Disc = 18 1.1 -.03 .114 -.30 A 281 17.3 -.17 .000 -.37 1 B 124 7.6 -.17 .000 -.59 C* 836 51.5 .43 .000 .37 .96 .43 D 365 22.5 -.24 .000 -.45 missing 1


.11



-.68

Thresholds .71 Error .06 ....................................................................................... ....................................................................................... Item 42: item 42 Infit MNSQ = Disc = .93 .48

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9 .6 -.04 .047 -.55

A 283 17.4 -.18 .000 -.40 1

B 272 16.8 -.20 .000 -.44

C 413 25.4 -.20 .000 -.34

D* 646 39.8 .48 .000 .54

missing 2

-.31

Thresholds .42 Error .06 ....................................................................................... ....................................................................................... Item 43: item 43 Infit MNSQ = 1.00 Disc = .40 12 .7 -.04 .039 -.49 A 365 22.5 -.15 .000 -.29 1 B* 681 42.0 .40 .000 .43 C 313 19.3 -.16 .000 -.33 D 252 15.5 -.20 .000 -.45 missing 2


-.62

Thresholds .32 Error .06 ....................................................................................... ....................................................................................... Item 44: item 44 Infit MNSQ = 1.00 Disc = .38 12 .7 -.05 .016 -.62 A 243 15.0 -.15 .000 -.37 1 B* 870 53.6 .38 .000 .32 C 249 15.3 -.16 .000 -.39 D 250 15.4 -.20 .000 -.47 missing 1


-.33

Thresholds -.23 Error .05 ....................................................................................... ....................................................................................... Item 45: item 45 Infit MNSQ = 1.00 Disc = .40 12 .7 -.04 .039 -.49 A 350 21.6 -.16 .000 -.32 1 B* 690 42.5 .40 .000 .43 C 303 18.7 -.15 .000 -.32 D 268 16.5 -.19 .000 -.43 missing 2


-.62

Thresholds .29 Error .06 ....................................................................................... .......................................................................................

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Item

46: item 46

Infit MNSQ = 1.00 Disc = .38 A 228 14.0 -.17 .000 -.41 1 B* 890 54.8 .37 .000 .30 C 251 15.5 -.16 .000 -.37 D 243 15.0 -.19 .000 -.45 missing 1


12 .7 -.05 .016 -.62

-.33



-.37



-.23

Thresholds .24 Error .06 ....................................................................................... ....................................................................................... Item 49: item 49 Infit MNSQ = Disc = 15 .9 -.02 .234 -.21 A 288 17.8 -.20 .000 -.43 1 B 239 14.7 -.19 .000 -.45 C 397 24.5 -.17 .000 -.31 .96 .44 D* 683 42.1 .44 .000 .47 missing 3


.29

Thresholds .31 Error .06 .......................................................................................

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....................................................................................... Item 50: item 50 Infit MNSQ = Disc = 16 1.0 -.02 .247 -.22 A 352 21.7 -.20 .000 -.38 1 B 265 16.3 -.20 .000 -.46 C 424 26.2 -.11 .000 -.21 .97 .44 D* 564 34.8 .44 .000 .56 missing 4


-.38

Thresholds .68 Error .06 ....................................................................................... Mean test score Standard deviation Internal Consistency 22.81 8.90 .88

The individual item statistics are calculated using all available data. The overall mean, standard deviation and internal consistency indices assume that missing responses are incorrect. They should only be considered useful when there is a limited amount of missing data. =======================================================================================

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