Comparative study of candidates’ admission results in ASE master’s programs

by Mihaela Irimia, Date: 2025-07-31

In this article, our propose is to analyze the candidates’ admission results in ASE master’s programs across 11 specializations, namely:

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:

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

Admission results distribution for each faculty

In Figure below we present the admission score distribution for each analyzed faculty:

Conclusion

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.

References:

  1. E.Jaba, Statistica Ediatia a treia, Editura Economica Bucuresti, 2002.
  2. https://ase.ro/admitere/masterat-iulie-2025, accesat la data de 29.07.2025.