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

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: 5,357
## Columns: 9
## $ nr_crt        <dbl> 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 1…
## $ cod_candidat  <dbl> 1025, 1052, 1185, 1384, 1405, 1442, 1699, 1732, 1836, 20…
## $ 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, 8.…
## $ medie_licenta <dbl> 8.25, 9.12, 8.12, 10.00, 9.66, 8.70, 9.33, 9.33, 9.49, 1…
## $ statut        <chr> "Standard", "Standard", "Standard", "Standard", "Standar…
## $ 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", …

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 1024 1803 3023 3541 4231 4285 5114 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 77 observations below the 1st quantile on rows 153 156 261 356 429 452 519 532 820 854 930 1003 1156 1282 1406 1473 1486 1525 1592 1605 1955 2028 2050 2074 2205 2217 2226 2403 2405 2438 2460 2492 2509 2532 2546 2589 2605 2617 2657 2665 2667 2680 2707 2709 2714 2717 2740 2772 2783 2797 2809 2936 3212 3251 3584 3590 3623 3627 3681 3693 3698 3714 3786 3826 3907 3928 3999 4006 4029 4092 4153 4452 4454 4531 4543 4912 5246 and the values are 6.79 6.8 6.4 6.83 6.83 6.5 6.75 6.18 6.4 6.4 6.83 6.83 6.83 6.83 6.5 6.75 6.18 6.5 6.75 6.18 6 6 6.5 6 6.25 6.75 6 6 6.75 6.87 6.16 6.83 6 6 6.66 6.33 6.6 6.25 6.33 6.62 6 6.6 6 6.12 6.16 6.16 6 6 6 6.62 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 6.34 6.5 6.16 6.5 6.16 6 6.5 6.33 6.47 6.37 6 6.16 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 216 262 441 449 532 730 1395 1403 1486 1514 1522 1605 1803 2028 2074 2361 2460 2667 2709 2714 3541 3623 3627 3693 3698 3714 3826 3878 4006 4092 4227 4452 4515 4531 4543 and the values are 5.5 5.3 5.2 5.56 5.54 5.2 5.2 5.56 5.54 5.2 5.56 5.54 5.2 4.96 5.68 5.8 5.65 5.8 5.75 5.77 5.68 5.81 5.75 5.39 5.2 5.21 5.8 5.32 5.5 5.8 5.77 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.   :  1.0   Min.   :1000   Min.   : 0.00   Min.   : 4.96  
##  1st Qu.: 35.0   1st Qu.:2073   1st Qu.:51.00   1st Qu.: 7.79  
##  Median : 79.0   Median :3019   Median :63.00   Median : 8.47  
##  Mean   :112.1   Mean   :2979   Mean   :62.42   Mean   : 8.40  
##  3rd Qu.:158.0   3rd Qu.:3920   3rd Qu.:75.00   3rd Qu.: 9.10  
##  Max.   :489.0   Max.   :4827   Max.   :90.00   Max.   :10.00  
##                                 NA's   :367     NA's   :367    
##  medie_licenta       statut          specializare       universitate      
##  Min.   : 6.000   Length:5357        Length:5357        Length:5357       
##  1st Qu.: 8.750   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                                                           
##                                                                           
##   facutatea        
##  Length:5357       
##  Class :character  
##  Mode  :character  
##                    
##                    
##                    
## 

The names of the variable which contains missing values are:

## [1] "proba_scrisa"  "medie_concurs"

The procent of missing values for each variable:

##        nr_crt  cod_candidat  proba_scrisa medie_concurs medie_licenta 
##      0.000000      0.000000      6.850849      6.850849      0.000000 
##        statut  specializare  universitate     facutatea 
##      0.000000      0.000000      0.000000      0.000000

## 
##  Variables sorted by number of missings: 
##       Variable      Count
##   proba_scrisa 0.06850849
##  medie_concurs 0.06850849
##  medie_licenta 0.00000000

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.