May 15, 2018

Syllabus of the test

Entire Class syllabus with more weightage to the following chapters

subject chapter count_Qs
CHM Atomic Structure 3
CHM Chemical Equilibrium 3
CHM Hydrocarbons 5
CHM Introduction to Organic Chemistry 6
MTH Conic Sections - I 4
MTH Conic Sections - II 5
MTH Mathematical Reasoning 4
MTH Statistics 4
PHY Mechanical Properties of Fluids 3
PHY Oscillations 3
PHY Waves 3

Histogram of scores

Skewed distribution with a long tail

Beeswarm of Boxplot of scores

Mid-50% of the students score between 40-75 (inside the box)

Toughest Qs by raw scores

short_text percent_correct
The coefficient of \(x^n\) (where \(|x|<1\)) in 5
\(1.216\) \(g\) of an organic compound was reacted 6
A pump motor is used to deliver water at a certain 7
A vertical glass capillary tube of radius (<U 7
What is \(\left[Ag^+\right]\) in a solution made b 7

Major Test 5 vs JEE - Regression

On average, students score roughly the same on JEE (3% less) as on MT5

Most Predictive Qs for JEE Main

short_text pbcorr_JEE
Two factories are sounding their sirens at (800 H 0.56
The edge of an aluminium cube is \(10 cm\) long. O 0.55
A vertical glass capillary tube of radius (<U 0.51
The equation of bisector of the angles containing 0.51
A uniform solid sphere  rolls up (without slipping 0.49

Performance of Students who cleared JEE Main on predictive Qs

clear_JEE <- responses %>% filter(JEE_Main > 80)
correct_percent_JEE <- round(100* colSums(clear_JEE[, c(11:100)]) / nrow(clear_JEE),0)
anskey$percent_correct_JEE <- correct_percent_JEE

anskey %>% arrange (desc(pbcorr_JEE)) %>%
  dplyr::select(c(short_text, pbcorr_JEE, percent_correct_JEE)) %>%
  head(5)%>%
  knitr::kable()
short_text pbcorr_JEE percent_correct_JEE
Two factories are sounding their sirens at (800 H 0.56 36
The edge of an aluminium cube is \(10 cm\) long. O 0.55 69
A vertical glass capillary tube of radius (<U 0.51 31
The equation of bisector of the angles containing 0.51 47
A uniform solid sphere  rolls up (without slipping 0.49 50

2PL Model

Map response patterns to ability scores

Centre Stud_ID Score theta JEE_Main
Jindal Vidya Mandir JVM0800273 271 4.3 287
Narora NAR0200001 222 3.2 288
Jindal Vidya Mandir JVM0800055 233 3.1 182
Hubli HLC0500039 193 2.7 225
Jindal Vidya Mandir JVM0800035 213 2.6 245

Question difficulty vs student ability distribution

Toughest Qs by Item Difficulty

short_text percent_correct diff
The contrapositive of the statement "I go to schoo 11 96.0
The tangent at a point \(P\) on the hyperbola ( 19 41.1
The coefficient of \(x^n\) (where \(|x|&lt;1\)) in 5 20.1
\(10\) \(mL\) of \(0.1\) \(M\) tribasic acid (H_3 7 19.2
Figure shows a thin metallic triangular sheet (AB 17 15.9