Libraries
Include libraries needed to read (readr), manipulate (dplyr), represent (knitr, tidyverse), and analyze (ltm) data.
library(readr)
library(dplyr)
library(knitr)
library(boot)
library(tidyverse)
library(ltm)
Functions file
source('ExtendedTimeFunctions.R')
Data
Create list of data. 20 objects in list. 4 are the Winter 2018 exam files, 14 are the past exam files. 2 are gender and time cluster information for Winter 2018.
allData <- read.alldata()
for (i in 1:length(allData)) {
allData[[i]] <- filter(allData[[i]], student_id != 0)
}
| 1 |
WN2018_E4 |
| 2 |
WN2018_E3 |
| 3 |
WN2018_E2 |
| 4 |
WN2018_E1 |
| 5 |
WN2016_E1 |
| 6 |
WN2015_E4 |
| 7 |
WN2015_E3 |
| 8 |
WN2015_E2 |
| 9 |
WN2015_E1 |
| 10 |
WN2014_E4 |
| 11 |
WN2014_E3 |
| 12 |
WN2014_E2 |
| 13 |
WN2014_E1 |
| 14 |
WN2013_E4 |
| 15 |
WN2013_E3 |
| 16 |
WN2013_E2 |
| 17 |
WN2013_E1 |
| 18 |
FA2004_E3 |
| 19 |
WN2018_gender_3cluster |
| 20 |
WN2018_gender_2cluster |
41 Repeated Questions - matched to WN2018 term and original term
| 1 |
WN2018_E4_Q1 |
WN2013_E4_Q6 |
| 2 |
WN2018_E4_Q5 |
WN2013_E4_Q4 |
| 3 |
WN2018_E4_Q7 |
WN2015_E4_Q3 |
| 4 |
WN2018_E4_Q13 |
WN2013_E4_Q7 |
| 5 |
WN2018_E4_Q14 |
WN2013_E4_Q10 |
| 6 |
WN2018_E4_Q16 |
WN2015_E4_Q17 |
| 7 |
WN2018_E4_Q17 |
WN2015_E4_Q14 |
| 8 |
WN2018_E4_Q18 |
WN2015_E4_Q15 |
| 9 |
WN2018_E4_Q19 |
WN2014_E4_Q12 |
| 10 |
WN2018_E4_Q20 |
WN2013_E4_Q19 |
| 11 |
WN2018_E4_Q21 |
WN2013_E4_Q24 |
| 12 |
WN2018_E4_Q22 |
WN2015_E4_Q19 |
| 13 |
WN2018_E3_Q4 |
WN2015_E3_Q4 |
| 14 |
WN2018_E3_Q5 |
WN2013_E3_Q5 |
| 15 |
WN2018_E3_Q6 |
FA2004_E3_Q5 |
| 16 |
WN2018_E3_Q7 |
WN2014_E3_Q7 |
| 17 |
WN2018_E3_Q9 |
WN2015_E3_Q9 |
| 18 |
WN2018_E3_Q12 |
FA2004_E3_Q12 |
| 19 |
WN2018_E3_Q13 |
WN2013_E3_Q13 |
| 20 |
WN2018_E3_Q17 |
FA2004_E3_Q17 |
| 21 |
WN2018_E3_Q18 |
WN2013_E3_Q18 |
| 22 |
WN2018_E2_Q1 |
WN2013_E2_Q1 |
| 23 |
WN2018_E2_Q2 |
WN2015_E2_Q2 |
| 24 |
WN2018_E2_Q4 |
WN2014_E2_Q4 |
| 25 |
WN2018_E2_Q7 |
WN2014_E2_Q7 |
| 26 |
WN2018_E2_Q8 |
WN2013_E2_Q8 |
| 27 |
WN2018_E2_Q11 |
WN2013_E2_Q11 |
| 28 |
WN2018_E2_Q12 |
WN2013_E2_Q13 |
| 29 |
WN2018_E2_Q13 |
WN2014_E2_Q13 |
| 30 |
WN2018_E2_Q14 |
WN2013_E2_Q14 |
| 31 |
WN2018_E2_Q19 |
WN2015_E2_Q19 |
| 32 |
WN2018_E1_Q2 |
WN2016_E1_Q2 |
| 33 |
WN2018_E1_Q3 |
WN2014_E4_Q4 |
| 34 |
WN2018_E1_Q4 |
WN2013_E1_Q4 |
| 35 |
WN2018_E1_Q5 |
WN2014_E1_Q5 |
| 36 |
WN2018_E1_Q6 |
WN2014_E4_Q6 |
| 37 |
WN2018_E1_Q8 |
WN2013_E1_Q8 |
| 38 |
WN2018_E1_Q9 |
WN2016_E1_Q8 |
| 39 |
WN2018_E1_Q12 |
WN2015_E1_Q12 |
| 40 |
WN2018_E1_Q16 |
WN2013_E1_Q16 |
| 41 |
WN2018_E1_Q19 |
WN2014_E1_Q19 |
Percent correct for 41 repeated questions
| 1 |
0.7536232 |
0.0171243 |
0.6293605 |
0.0186000 |
0.1242627 |
| 2 |
0.6988728 |
0.0184609 |
0.6540698 |
0.0182442 |
0.0448030 |
| 3 |
0.8599034 |
0.0138691 |
0.7593496 |
0.0172430 |
0.1005538 |
| 4 |
0.7777778 |
0.0168828 |
0.8430233 |
0.0140093 |
-0.0652455 |
| 5 |
0.7842190 |
0.0164885 |
0.7863372 |
0.0156943 |
-0.0021182 |
| 6 |
0.7262480 |
0.0179398 |
0.6325203 |
0.0196955 |
0.0937277 |
| 7 |
0.8421900 |
0.0147303 |
0.7593496 |
0.0171803 |
0.0828404 |
| 8 |
0.8792271 |
0.0130793 |
0.8016260 |
0.0160488 |
0.0776010 |
| 9 |
0.8325282 |
0.0149615 |
0.8629032 |
0.0137637 |
-0.0303750 |
| 10 |
0.6537842 |
0.0192233 |
0.7281977 |
0.0170903 |
-0.0744135 |
| 11 |
0.5169082 |
0.0199741 |
0.6191860 |
0.0188291 |
-0.1022778 |
| 12 |
0.5362319 |
0.0201077 |
0.6243902 |
0.0195440 |
-0.0881584 |
| 13 |
0.7929374 |
0.0160646 |
0.7777778 |
0.0168885 |
0.0151596 |
| 14 |
0.8170144 |
0.0155682 |
0.7503650 |
0.0164774 |
0.0666495 |
| 15 |
0.5345104 |
0.0201393 |
0.4850575 |
0.0240177 |
0.0494530 |
| 16 |
0.6869984 |
0.0187672 |
0.7335474 |
0.0177471 |
-0.0465490 |
| 17 |
0.7415730 |
0.0174971 |
0.6094771 |
0.0196256 |
0.1320959 |
| 18 |
0.7174960 |
0.0177565 |
0.6091954 |
0.0233761 |
0.1083006 |
| 19 |
0.6099518 |
0.0195465 |
0.7007299 |
0.0174779 |
-0.0907781 |
| 20 |
0.3772071 |
0.0194858 |
0.2896552 |
0.0216771 |
0.0875519 |
| 21 |
0.4991974 |
0.0202219 |
0.4656934 |
0.0192747 |
0.0335040 |
| 22 |
0.7445483 |
0.0169896 |
0.6847978 |
0.0172964 |
0.0597505 |
| 23 |
0.9065421 |
0.0113965 |
0.7622821 |
0.0169352 |
0.1442600 |
| 24 |
0.8068536 |
0.0154632 |
0.7291982 |
0.0172048 |
0.0776554 |
| 25 |
0.8333333 |
0.0149380 |
0.6717095 |
0.0182523 |
0.1616238 |
| 26 |
0.9065421 |
0.0115973 |
0.8284519 |
0.0141431 |
0.0780902 |
| 27 |
0.7274143 |
0.0173825 |
0.6652720 |
0.0178052 |
0.0621424 |
| 28 |
0.7056075 |
0.0179077 |
0.8730823 |
0.0125201 |
-0.1674748 |
| 29 |
0.5342679 |
0.0199217 |
0.5975794 |
0.0190089 |
-0.0633115 |
| 30 |
0.6417445 |
0.0189987 |
0.7726639 |
0.0156988 |
-0.1309193 |
| 31 |
0.6137072 |
0.0190786 |
0.5198098 |
0.0198827 |
0.0938973 |
| 32 |
0.7939394 |
0.0159276 |
0.7756410 |
0.0167879 |
0.0182984 |
| 33 |
0.8060606 |
0.0152242 |
0.8451613 |
0.0146346 |
-0.0391007 |
| 34 |
0.8000000 |
0.0155988 |
0.5076709 |
0.0184866 |
0.2923291 |
| 35 |
0.6863636 |
0.0180191 |
0.7319277 |
0.0170155 |
-0.0455641 |
| 36 |
0.7833333 |
0.0160115 |
0.7790323 |
0.0166566 |
0.0043011 |
| 37 |
0.7863636 |
0.0160711 |
0.8019526 |
0.0149556 |
-0.0155889 |
| 38 |
0.7287879 |
0.0174774 |
0.6971154 |
0.0185086 |
0.0316725 |
| 39 |
0.9015152 |
0.0116544 |
0.6069731 |
0.0193901 |
0.2945421 |
| 40 |
0.6000000 |
0.0191431 |
0.6080893 |
0.0180758 |
-0.0080893 |
| 41 |
0.8000000 |
0.0154432 |
0.7515060 |
0.0166827 |
0.0484940 |

Percent correct by gender for 41 repeated questions in Winter 2018
| 1 |
0.7536232 |
0.7021277 |
0.0300905 |
0.7853403 |
0.0209029 |
-0.0832127 |
| 2 |
0.6988728 |
0.6851064 |
0.0304853 |
0.7094241 |
0.0233200 |
-0.0243177 |
| 3 |
0.8599034 |
0.8170213 |
0.0252527 |
0.8848168 |
0.0164303 |
-0.0677955 |
| 4 |
0.7777778 |
0.7234043 |
0.0290553 |
0.8115183 |
0.0199522 |
-0.0881141 |
| 5 |
0.7842190 |
0.6893617 |
0.0303091 |
0.8455497 |
0.0182662 |
-0.1561880 |
| 6 |
0.7262480 |
0.7234043 |
0.0289145 |
0.7277487 |
0.0229024 |
-0.0043444 |
| 7 |
0.8421900 |
0.8468085 |
0.0233848 |
0.8376963 |
0.0188368 |
0.0091122 |
| 8 |
0.8792271 |
0.8553191 |
0.0228940 |
0.8952880 |
0.0155544 |
-0.0399688 |
| 9 |
0.8325282 |
0.7276596 |
0.0290129 |
0.8979058 |
0.0155589 |
-0.1702462 |
| 10 |
0.6537842 |
0.6000000 |
0.0319909 |
0.6858639 |
0.0238577 |
-0.0858639 |
| 11 |
0.5169082 |
0.4255319 |
0.0318490 |
0.5759162 |
0.0250488 |
-0.1503843 |
| 12 |
0.5362319 |
0.4723404 |
0.0325579 |
0.5732984 |
0.0253296 |
-0.1009580 |
| 13 |
0.7929374 |
0.7805907 |
0.0266044 |
0.8036649 |
0.0203565 |
-0.0230742 |
| 14 |
0.8170144 |
0.7594937 |
0.0274465 |
0.8507853 |
0.0186267 |
-0.0912917 |
| 15 |
0.5345104 |
0.3924051 |
0.0322837 |
0.6204188 |
0.0247397 |
-0.2280138 |
| 16 |
0.6869984 |
0.6666667 |
0.0308267 |
0.7041885 |
0.0231548 |
-0.0375218 |
| 17 |
0.7415730 |
0.6877637 |
0.0298666 |
0.7748691 |
0.0211898 |
-0.0871054 |
| 18 |
0.7174960 |
0.6582278 |
0.0308342 |
0.7513089 |
0.0218275 |
-0.0930811 |
| 19 |
0.6099518 |
0.5907173 |
0.0314776 |
0.6178010 |
0.0248280 |
-0.0270837 |
| 20 |
0.3772071 |
0.3248945 |
0.0304390 |
0.4083770 |
0.0252974 |
-0.0834824 |
| 21 |
0.4991974 |
0.4641350 |
0.0323597 |
0.5235602 |
0.0252781 |
-0.0594252 |
| 22 |
0.7445483 |
0.7581967 |
0.0273620 |
0.7328244 |
0.0225780 |
0.0253723 |
| 23 |
0.9065421 |
0.8934426 |
0.0197510 |
0.9134860 |
0.0142087 |
-0.0200434 |
| 24 |
0.8068536 |
0.7745902 |
0.0196421 |
0.8320611 |
0.0189945 |
-0.0574709 |
| 25 |
0.8333333 |
0.8606557 |
0.0222396 |
0.8193384 |
0.0193752 |
0.0413173 |
| 26 |
0.9065421 |
0.9098361 |
0.0182095 |
0.9083969 |
0.0146364 |
0.0014391 |
| 27 |
0.7274143 |
0.7418033 |
0.0276498 |
0.7201018 |
0.0227287 |
0.0217015 |
| 28 |
0.7056075 |
0.6639344 |
0.0303572 |
0.7353690 |
0.0223357 |
-0.0714345 |
| 29 |
0.5342679 |
0.4672131 |
0.0320815 |
0.5776081 |
0.0249241 |
-0.1103950 |
| 30 |
0.6417445 |
0.6311475 |
0.0308928 |
0.6513995 |
0.0240732 |
-0.0202520 |
| 31 |
0.6137072 |
0.6188525 |
0.0309371 |
0.6106870 |
0.0244995 |
0.0081654 |
| 32 |
0.7939394 |
0.7800000 |
0.0261024 |
0.8019802 |
0.0196422 |
-0.0219802 |
| 33 |
0.8060606 |
0.7880000 |
0.0258636 |
0.8193069 |
0.0191893 |
-0.0313069 |
| 34 |
0.8000000 |
0.7760000 |
0.0262383 |
0.8168317 |
0.0195064 |
-0.0408317 |
| 35 |
0.6863636 |
0.5680000 |
0.0317452 |
0.7574257 |
0.0212018 |
-0.1894257 |
| 36 |
0.7833333 |
0.8040000 |
0.0250388 |
0.7722772 |
0.0210121 |
0.0317228 |
| 37 |
0.7863636 |
0.7240000 |
0.0284524 |
0.8242574 |
0.0187933 |
-0.1002574 |
| 38 |
0.7287879 |
0.7360000 |
0.0277103 |
0.7252475 |
0.0224375 |
0.0107525 |
| 39 |
0.9015152 |
0.8520000 |
0.0225273 |
0.9306931 |
0.0126850 |
-0.0786931 |
| 40 |
0.6000000 |
0.6280000 |
0.0306813 |
0.5841584 |
0.0246918 |
0.0438416 |
| 41 |
0.8000000 |
0.7960000 |
0.0256553 |
0.8044554 |
0.0197168 |
-0.0084554 |
