In this article, our propose is to analyze the candidates’ admission results in ASE master’s programs across 11 specializations, namely:
Facultatea de Business și Turism (BT)/Faculty of Business and Tourism
Facultatea de Contabilitate și Informatică de Gestiune (CIG)/Faculty of Accounting and Management Information Systems
Facultatea de Cibernetică, Statistică și Informatică Economică (CSIE)/Faculty of Cybernetics, Statistics and Economic Informatics
Facultatea de Drept (DA)/Faculty of Law
Facultatea de Economie Teoretică și Aplicată (ETA)/Faculty of Theoretical and Applied Economics
Facultatea de Finanțe, Asigurări, Bănci și Burse de Valori (FABBV)/Faculty of Finance, Insurance, Banking and Stock Exchange
Facultatea de Administrarea Afacerilor cu predare în limbi străine (FABIZ)/Faculty of Business Administration in Foreign Languages
Facultatea de Management (MAN)/Faculty of Management
Facultatea de Marketing (MRK)/Faculty of Marketing
Facultatea de Relații Economice Internaționale (REI)/Faculty of International Business and Economics
The table below presents the situation of each candidate. As we can see, it contains information regarding the grade obtained in the admission test, the grade obtained in the bachelor’s degree, and the final admission score, which is calculated as 40% of the admission test grade and 60% of the bachelor’s degree grade.
The population under analysis consists of individuals seeking to obtain a position to ASE master’s programs (N=5357 candidates). The available places are divided into two categories: tuition - free positions and tuition - paying positions. Candidates were allowed to apply for one or more specializations within the same faculty.
The population distribution is characterized by the following features:
At the institution level (ASE), the average score in the admission test is 72.42 (if we add the 10 bonus points granted by default), and the final admission score is 8.4.
Thus, the mean, variance and the standard deviation of the population is \(\mu\) = 62.42, \(\sigma\) = 274.06 and \(\sqrt{\sigma^2}\) = 16.55.
Now, let’s analyse the performance of candidates across each ASE faculty.
The performance of candidates across each ASE faculty is presented in the table above.
Some information s about each variable
## Rows: 5,526
## Columns: 28
## $ nr_crt <dbl> 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16,…
## $ cod_candidat <dbl> 1025, 1052, 1185, 1384, 1405, 1442, 1699, 1732, 1836, …
## $ proba_scrisa <dbl> 76, 83, 73, 85, 84, 79, 84, NA, 83, 88, 65, 79, 79, 80…
## $ medie_concurs <dbl> 8.6, 9.3, 8.3, 9.5, 9.4, 8.9, 9.4, NA, 9.3, 9.8, 7.5, …
## $ medie_licenta <dbl> 8.25, 9.12, 8.12, 10.00, 9.66, 8.70, 9.33, 9.33, 9.49,…
## $ statut <chr> "Standard", "Standard", "Standard", "Standard", "Stand…
## $ specializare <chr> "AA1", "AA1", "AA1", "AA1", "AA1", "AA1", "AA1", "AA1"…
## $ universitate <chr> "ASE", "ASE", "ASE", "ASE", "ASE", "ASE", "ASE", "ASE"…
## $ facutatea <chr> "Administrarea_afacerilor", "Administrarea_afacerilor"…
## $ rezultat <chr> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA…
## $ forma_invataman <chr> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA…
## $ program <chr> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA…
## $ facultatea <chr> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA…
## $ pob <dbl> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA…
## $ pot <dbl> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA…
## $ nlb <dbl> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA…
## $ nlt <dbl> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA…
## $ ntl <dbl> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA…
## $ x17 <chr> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA…
## $ x18 <chr> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA…
## $ admis <chr> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA…
## $ taxa <chr> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA…
## $ x15 <chr> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA…
## $ x16 <chr> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA…
## $ x19 <chr> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA…
## $ x20 <chr> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA…
## $ x7 <lgl> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA…
## $ x8 <lgl> NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA, NA…
So, we have 9 variables. The type of the analyzed variables are:
proba_scrisa, medie_concurs and medie_licenta are numeric variables
statut, specializare, universitate and facutatea are character variables
In case of admission score variable (proba_scrisa)
## There are 8 observations below the 1st quantile on rows 730 1263 1931 3126 3644 4324 4678 5394 and the values are 0 12 0 9 12 12 12 12
## There are 0 observations above the 3rd quantile
The figure shows the distribution of candidates by admission test score at the ASE level.
In case of bachelor’s score variable (medie_licenta)
## There are 78 observations below the 1st quantile on rows 153 156 261 356 429 547 551 557 821 854 942 1004 1251 1389 1515 1629 1633 1639 1748 1752 1758 2159 2172 2177 2521 2525 2540 2541 2542 2544 2564 2789 2794 2799 2800 2805 2807 2808 2809 2810 2811 2812 2813 2814 2815 2857 2858 2908 2909 2910 2911 3039 3315 3354 3687 3693 3726 3730 3784 3796 3801 3817 3889 3929 3936 4302 4319 4322 4323 4325 4327 4682 4683 4685 4686 4955 5382 5520 and the values are 6.79 6.8 6.4 6.83 6.83 6.75 6.5 6.18 6.4 6.4 6.83 6.83 6.83 6.83 6.83 6.75 6.5 6.18 6.75 6.5 6.18 6.5 6 6 6.75 6.25 6.75 6 6 6 6.6 6.62 6.66 6.33 6 6.33 6.83 6 6 6.6 6.25 6 6.16 6.12 6.16 6 6.16 6.62 6 6 6.16 6.5 6.5 6.63 6.83 6.66 6.62 6.72 6.5 6.13 6 6.63 6.85 6 6.16 6.5 6.16 6.34 6.5 6 6.5 6.47 6.33 6.37 6 6.16 6.83 6.83
## There are 0 observations above the 3rd quantile
In case of final admission score variable (medie_concurs):
## There are 35 observations below the 1st quantile on rows 216 262 556 557 558 730 1638 1639 1640 1757 1758 1759 1931 2177 2543 2544 2812 2813 2814 2815 3644 3726 3730 3796 3801 3817 3929 4325 4326 4327 4328 4683 4684 4685 4686 and the values are 5.5 5.3 5.56 5.54 5.2 5.2 5.56 5.54 5.2 5.56 5.54 5.2 5.2 4.96 5.8 5.68 5.8 5.77 5.75 5.65 5.68 5.81 5.75 5.39 5.2 5.21 5.8 5.8 5.77 5.5 5.32 5.63 5.62 5.42 5.2
## There are 0 observations above the 3rd quantile
Missing value detection
## nr_crt cod_candidat proba_scrisa medie_concurs
## Min. : 1.00 Min. :1000 Min. : 0.00 Min. : 4.960
## 1st Qu.: 51.25 1st Qu.:2049 1st Qu.:51.00 1st Qu.: 7.810
## Median :115.00 Median :3034 Median :63.00 Median : 8.500
## Mean :147.75 Mean :2976 Mean :62.95 Mean : 8.421
## 3rd Qu.:230.00 3rd Qu.:3923 3rd Qu.:76.00 3rd Qu.: 9.130
## Max. :489.00 Max. :4827 Max. :90.00 Max. :10.000
## NA's :4 NA's :4 NA's :346 NA's :346
## medie_licenta statut specializare universitate
## Min. : 6.000 Length:5526 Length:5526 Length:5526
## 1st Qu.: 8.740 Class :character Class :character Class :character
## Median : 9.330 Mode :character Mode :character Mode :character
## Mean : 9.188
## 3rd Qu.:10.000
## Max. :10.000
## NA's :4
## facutatea rezultat forma_invataman program
## Length:5526 Length:5526 Length:5526 Length:5526
## Class :character Class :character Class :character Class :character
## Mode :character Mode :character Mode :character Mode :character
##
##
##
##
## facultatea pob pot nlb
## Length:5526 Min. : 0.0 Min. : 0.00 Min. : 0.00
## Class :character 1st Qu.:123.0 1st Qu.: 1.00 1st Qu.: 76.00
## Mode :character Median :187.0 Median : 4.00 Median :102.00
## Mean :201.2 Mean :14.62 Mean : 96.16
## 3rd Qu.:326.0 3rd Qu.:16.00 3rd Qu.:123.00
## Max. :361.0 Max. :68.00 Max. :182.00
## NA's :2374 NA's :2374 NA's :2374
## nlt ntl x17 x18
## Min. : 0.0 Min. : 33 Length:5526 Length:5526
## 1st Qu.: 43.0 1st Qu.:119 Class :character Class :character
## Median : 62.0 Median :218 Mode :character Mode :character
## Mean :137.8 Mean :234
## 3rd Qu.:226.0 3rd Qu.:328
## Max. :409.0 Max. :567
## NA's :2374 NA's :2374
## admis taxa x15 x16
## Length:5526 Length:5526 Length:5526 Length:5526
## Class :character Class :character Class :character Class :character
## Mode :character Mode :character Mode :character Mode :character
##
##
##
##
## x19 x20 x7 x8
## Length:5526 Length:5526 Mode:logical Mode:logical
## Class :character Class :character NA's:5526 NA's:5526
## Mode :character Mode :character
##
##
##
##
The names of the variable which contains missing values are:
## [1] "nr_crt" "cod_candidat" "proba_scrisa" "medie_concurs"
## [5] "medie_licenta" "statut" "rezultat" "forma_invataman"
## [9] "program" "facultatea" "pob" "pot"
## [13] "nlb" "nlt" "ntl" "x17"
## [17] "x18" "admis" "taxa" "x15"
## [21] "x16" "x19" "x20" "x7"
## [25] "x8"
The procent of missing values for each variable:
## nr_crt cod_candidat proba_scrisa medie_concurs medie_licenta
## 0.07238509 0.07238509 6.26131017 6.26131017 0.07238509
## statut specializare universitate facutatea rezultat
## 0.07238509 0.00000000 0.00000000 0.00000000 44.66159971
## forma_invataman program facultatea pob pot
## 44.62540717 45.76547231 42.92435758 42.96055013 42.96055013
## nlb nlt ntl x17 x18
## 42.96055013 42.96055013 42.96055013 91.94715889 92.20050670
## admis taxa x15 x16 x19
## 98.29895042 98.26275787 99.40282302 99.36663047 99.60188201
## x20 x7 x8
## 98.67897213 100.00000000 100.00000000
##
## Variables sorted by number of missings:
## Variable Count
## proba_scrisa 0.0626131017
## medie_concurs 0.0626131017
## medie_licenta 0.0007238509
In Figure below we present the admission score distribution for each analyzed faculty:
The target population analyzed in this study includes applicants to ASE master’s programs who are competing for a limited number of positions (both tuition-free and tuition-paying). The dataset contains 5,357 observations, each representing a candidate who applied to the Bucharest University of Economic Studies (ASE) for a master’s program. A total of 367 candidates did not attend the admission exam.
The admission test score ranges from 0 to 90 points, with a mean of 62.42 and a median of 63 points. This indicates that the mean is representative and the distribution is only slightly skewed.
The mean value of the final admission score is 8.4, and the median is 8.47, suggesting a right-skewed distribution, as many scores are relatively high.
For the bachelor’s degree score, values range from 6 to 10, with a mean of 9.19, which shows that most candidates performed well during their undergraduate studies.