This section imports the data on Teacher Ratings from github.

csvurl = "https://raw.githubusercontent.com/Marley-Myrianthopoulos/Grad-School-HW-2/main/TeachingRatings.csv"
teachingratings <- read.csv(url(csvurl))

This section answers #1 from the homework by using the summary function to get an overview of the data set and then determines and displays the mean and median for the ratings of professor beauty and evaluation, rounded to 3 decimal places.

summary(teachingratings)
##        X           minority              age           gender         
##  Min.   :  1.0   Length:463         Min.   :29.00   Length:463        
##  1st Qu.:116.5   Class :character   1st Qu.:42.00   Class :character  
##  Median :232.0   Mode  :character   Median :48.00   Mode  :character  
##  Mean   :232.0                      Mean   :48.37                     
##  3rd Qu.:347.5                      3rd Qu.:57.00                     
##  Max.   :463.0                      Max.   :73.00                     
##    credits              beauty                eval         division        
##  Length:463         Min.   :-1.4504940   Min.   :2.100   Length:463        
##  Class :character   1st Qu.:-0.6562689   1st Qu.:3.600   Class :character  
##  Mode  :character   Median :-0.0680143   Median :4.000   Mode  :character  
##                     Mean   : 0.0000001   Mean   :3.998                     
##                     3rd Qu.: 0.5456024   3rd Qu.:4.400                     
##                     Max.   : 1.9700230   Max.   :5.000                     
##     native             tenure             students       allstudents    
##  Length:463         Length:463         Min.   :  5.00   Min.   :  8.00  
##  Class :character   Class :character   1st Qu.: 15.00   1st Qu.: 19.00  
##  Mode  :character   Mode  :character   Median : 23.00   Median : 29.00  
##                                        Mean   : 36.62   Mean   : 55.18  
##                                        3rd Qu.: 40.00   3rd Qu.: 60.00  
##                                        Max.   :380.00   Max.   :581.00  
##       prof      
##  Min.   : 1.00  
##  1st Qu.:20.00  
##  Median :44.00  
##  Mean   :45.43  
##  3rd Qu.:70.50  
##  Max.   :94.00
beautymean <- round(mean(teachingratings[["beauty"]]), digits = 3)
beautymedian <- round(median(teachingratings[["beauty"]]), digits = 3)
evalmean <- round(mean(teachingratings[["eval"]]), digits = 3)
evalmedian <- round(median(teachingratings[["eval"]]), digits = 3)
print(paste0("The 463 courses measured in this data had professors who were rated on their beauty by a panel of students. These ratings resulted in a mean score of ", beautymean, " and a median score of ", beautymedian, ". The professors' teaching effectiveness was rated by their students, resulting in a mean evaluation score of ", evalmean, " and a median evaluation score of ", evalmedian, "."))
## [1] "The 463 courses measured in this data had professors who were rated on their beauty by a panel of students. These ratings resulted in a mean score of 0 and a median score of -0.068. The professors' teaching effectiveness was rated by their students, resulting in a mean evaluation score of 3.998 and a median evaluation score of 4."

This section answers #2 from the homework by creating a new data frame. The purpose of this frame is to compare the results of tenure track faculty to the whole data set. I’m curious to see how student evaluations of beauty and effectiveness are related just among tenure track faculty.

teachingratings_sub <- subset(teachingratings, tenure == "yes", select = c("age","gender","beauty","eval","prof"))

This section answers #3 from the homework by renaming each column.

colnames(teachingratings_sub) <- c("age_in_years", "gender_identity", "attractiveness", "effectiveness", "prof_id")

This section answers #4 from the homework by using the summary function to get an overview of the new data set of only tenured professors, and then determines and displays the mean and median for the scores of professor beauty (now “attractiveness”) and evaluation (now “effectiveness”), rounded to 3 decimal places. The mean and median for student ratings of professor beauty are slightly lower when the sample is restricted to tenure track professors (from 0 to -0.008 for the mean and and from -0.068 to -0.084 for the median), and the mean student rating of professor effectiveness declined as well (from 3.998 to 3.96) although the median stayed the same (4).

summary(teachingratings_sub)
##   age_in_years   gender_identity    attractiveness      effectiveness 
##  Min.   :29.00   Length:361         Min.   :-1.450494   Min.   :2.10  
##  1st Qu.:40.00   Class :character   1st Qu.:-0.656395   1st Qu.:3.60  
##  Median :47.00   Mode  :character   Median :-0.083601   Median :4.00  
##  Mean   :47.85                      Mean   :-0.008013   Mean   :3.96  
##  3rd Qu.:57.00                      3rd Qu.: 0.576681   3rd Qu.:4.40  
##  Max.   :73.00                      Max.   : 1.775517   Max.   :5.00  
##     prof_id     
##  Min.   : 1.00  
##  1st Qu.:24.00  
##  Median :45.00  
##  Mean   :45.83  
##  3rd Qu.:70.00  
##  Max.   :94.00
attractmean <- round(mean(teachingratings_sub[["attractiveness"]]), digits = 3)
attractmedian <- round(median(teachingratings_sub[["attractiveness"]]), digits = 3)
effectmean <- round(mean(teachingratings_sub[["effectiveness"]]), digits = 3)
effectmedian <- round(median(teachingratings_sub[["effectiveness"]]), digits = 3)
print(paste0("When looking only at the tenure track professors in the data set, the ratings for beauty/attractiveness had a mean score of ", attractmean, " and a median score of ", attractmedian, ". For the same subset, the ratings for effectvieness had a mean rating of ", effectmean, " and a median rating of ", effectmedian, "."))
## [1] "When looking only at the tenure track professors in the data set, the ratings for beauty/attractiveness had a mean score of -0.008 and a median score of -0.084. For the same subset, the ratings for effectvieness had a mean rating of 3.96 and a median rating of 4."

This section answers #5 from the homework by replacing the effectiveness ratings with a qualitative descriptor. If the professor’s effectiveness was 3.5 or less, the professor is rated as “developing.” If the rating was greater than 3.5 but less than 4.5, the professor is rated as “effective.” If the rating was 4.5 or higher, the professor is rated as “highly effective.”

teachingratings_sub["effectiveness"][teachingratings_sub["effectiveness"] >= 4.5] <- "highly effective"
teachingratings_sub["effectiveness"][teachingratings_sub["effectiveness"] < 4.5 & teachingratings_sub["effectiveness"] > 3.5] <- "effective"
teachingratings_sub["effectiveness"][teachingratings_sub["effectiveness"] <= 3.5] <- "developing"
teachingratings_sub
##     age_in_years gender_identity attractiveness    effectiveness prof_id
## 1             36          female      0.2899157        effective       1
## 2             59            male     -0.7377322 highly effective       2
## 3             51            male     -0.5719836        effective       3
## 4             40          female     -0.6779634        effective       4
## 5             31          female      1.5097940        effective       5
## 6             62            male      0.5885687        effective       6
## 7             33          female     -0.1260010        effective       7
## 8             51          female     -0.2581899       developing       8
## 9             33          female      0.1496926 highly effective       9
## 11            35            male      0.2316134       developing      11
## 13            42            male      0.2168924        effective      13
## 14            49            male     -0.2586962       developing      14
## 15            37          female      0.5502878       developing      15
## 16            45            male     -0.0620358 highly effective      16
## 19            46          female     -0.0680143        effective      19
## 22            29          female     -0.8487269       developing      22
## 23            62            male     -0.7330914        effective      23
## 24            64            male     -0.1111221        effective      24
## 25            34          female      1.7755170 highly effective      25
## 26            58            male     -0.3218485        effective      26
## 27            52            male      0.2116939        effective      27
## 28            73            male     -0.7176450       developing      28
## 29            70            male     -0.7326927        effective      29
## 30            41          female      0.4081676       developing      30
## 32            47            male     -0.9239570 highly effective      32
## 33            39            male      0.5766805        effective      33
## 34            47          female     -0.0836015        effective      34
## 35            54            male     -1.0795580        effective      35
## 36            44          female      1.0409020        effective      36
## 37            47            male     -1.0521080        effective      37
## 38            62            male     -0.7277681        effective      38
## 39            60            male     -0.3953965 highly effective      39
## 40            37            male      0.9333959       developing      40
## 41            42            male     -0.2377786 highly effective      41
## 42            35            male      0.2749080        effective      42
## 44            49            male      1.0509500        effective      44
## 45            61            male      0.2418185 highly effective      45
## 46            33            male      1.3493950 highly effective      46
## 47            58          female      0.1115635       developing      47
## 48            56          female     -0.2577254        effective      48
## 50            52            male     -0.6563948        effective      50
## 51            33          female      0.7244775        effective      51
## 52            57            male      0.6318343        effective      52
## 53            38          female      1.0709440 highly effective      53
## 54            34          female     -1.4504940        effective      54
## 55            34            male      1.1558800       developing      55
## 56            32            male     -0.3260148        effective      56
## 57            42          female      0.8846435        effective      57
## 58            43          female     -0.5583452        effective      58
## 59            35            male     -0.3415543       developing      59
## 60            62          female     -0.5040575       developing      60
## 61            42            male     -0.9005804        effective      61
## 62            39            male      0.6430142        effective      62
## 63            52          female      0.7735240        effective      63
## 64            52          female      1.0639380       developing      64
## 66            64            male     -1.0691620        effective      66
## 67            50            male      1.4156950        effective      67
## 68            60            male     -1.4229190       developing      68
## 69            51          female      0.3918222       developing      69
## 70            43            male     -0.4899626        effective      70
## 72            52            male      0.7566829       developing      72
## 73            51            male      0.8808186 highly effective      73
## 74            38            male     -0.5665014        effective      74
## 75            47          female      0.3394037        effective      75
## 76            43          female     -0.1513687        effective      76
## 78            43            male     -0.0252444        effective      78
## 79            57            male     -0.7467875        effective      79
## 80            51          female      0.9889485        effective      80
## 82            57            male     -0.7668921       developing      82
## 84            54          female      1.2326020        effective      84
## 86            42            male      1.7731510 highly effective      86
## 87            33            male      0.7245926        effective      87
## 88            62            male     -1.1816260       developing      88
## 89            35          female      1.7694520       developing      89
## 90            61            male     -0.5872612        effective      90
## 91            52          female     -0.0018324        effective      91
## 92            60          female     -0.0566766        effective      92
## 93            32            male      1.2313940        effective      93
## 94            42          female      0.4203998       developing      94
## 95            36          female      0.2899157        effective       1
## 96            36          female      0.2899157        effective       1
## 97            36          female      0.2899157        effective       1
## 98            59            male     -0.7377322        effective       2
## 99            59            male     -0.7377322       developing       2
## 100           51            male     -0.5719836       developing       3
## 101           40          female     -0.6779634       developing       4
## 102           40          female     -0.6779634        effective       4
## 103           40          female     -0.6779634 highly effective       4
## 104           40          female     -0.6779634        effective       4
## 105           40          female     -0.6779634        effective       4
## 106           40          female     -0.6779634        effective       4
## 107           40          female     -0.6779634        effective       4
## 108           31          female      1.5097940        effective       5
## 109           31          female      1.5097940 highly effective       5
## 110           31          female      1.5097940 highly effective       5
## 111           31          female      1.5097940        effective       5
## 112           31          female      1.5097940        effective       5
## 113           62            male      0.5885687        effective       6
## 114           62            male      0.5885687 highly effective       6
## 115           62            male      0.5885687        effective       6
## 116           62            male      0.5885687 highly effective       6
## 117           62            male      0.5885687 highly effective       6
## 118           62            male      0.5885687        effective       6
## 119           33          female     -0.1260010        effective       7
## 120           33          female     -0.1260010        effective       7
## 121           33          female     -0.1260010        effective       7
## 122           33          female     -0.1260010       developing       7
## 123           51          female     -0.2581899 highly effective       8
## 124           51          female     -0.2581899 highly effective       8
## 125           51          female     -0.2581899 highly effective       8
## 126           51          female     -0.2581899       developing       8
## 127           51          female     -0.2581899        effective       8
## 128           51          female     -0.2581899 highly effective       8
## 129           33          female      0.1496926 highly effective       9
## 130           33          female      0.1496926       developing       9
## 131           33          female      0.1496926 highly effective       9
## 132           33          female      0.1496926        effective       9
## 133           33          female      0.1496926 highly effective       9
## 134           33          female      0.1496926        effective       9
## 144           35            male      0.2316134       developing      11
## 145           35            male      0.2316134        effective      11
## 150           42            male      0.2168924        effective      13
## 151           42            male      0.2168924        effective      13
## 152           42            male      0.2168924        effective      13
## 153           42            male      0.2168924       developing      13
## 154           42            male      0.2168924        effective      13
## 155           42            male      0.2168924        effective      13
## 156           49            male     -0.2586962        effective      14
## 157           49            male     -0.2586962       developing      14
## 158           49            male     -0.2586962        effective      14
## 159           37          female      0.5502878       developing      15
## 160           37          female      0.5502878       developing      15
## 161           37          female      0.5502878       developing      15
## 162           45            male     -0.0620358        effective      16
## 163           45            male     -0.0620358        effective      16
## 164           45            male     -0.0620358        effective      16
## 165           45            male     -0.0620358        effective      16
## 166           45            male     -0.0620358        effective      16
## 178           46          female     -0.0680143 highly effective      19
## 179           46          female     -0.0680143        effective      19
## 180           46          female     -0.0680143        effective      19
## 181           46          female     -0.0680143 highly effective      19
## 182           46          female     -0.0680143        effective      19
## 183           46          female     -0.0680143 highly effective      19
## 184           46          female     -0.0680143        effective      19
## 185           46          female     -0.0680143        effective      19
## 200           62            male     -0.7330914        effective      23
## 201           62            male     -0.7330914 highly effective      23
## 202           62            male     -0.7330914        effective      23
## 203           62            male     -0.7330914       developing      23
## 204           64            male     -0.1111221 highly effective      24
## 205           64            male     -0.1111221 highly effective      24
## 206           64            male     -0.1111221 highly effective      24
## 207           64            male     -0.1111221 highly effective      24
## 208           64            male     -0.1111221        effective      24
## 209           64            male     -0.1111221        effective      24
## 210           34          female      1.7755170        effective      25
## 211           58            male     -0.3218485        effective      26
## 212           58            male     -0.3218485       developing      26
## 213           58            male     -0.3218485        effective      26
## 214           58            male     -0.3218485        effective      26
## 215           52            male      0.2116939 highly effective      27
## 216           52            male      0.2116939 highly effective      27
## 217           52            male      0.2116939        effective      27
## 218           52            male      0.2116939       developing      27
## 219           52            male      0.2116939        effective      27
## 220           52            male      0.2116939        effective      27
## 221           73            male     -0.7176450        effective      28
## 222           73            male     -0.7176450       developing      28
## 223           73            male     -0.7176450 highly effective      28
## 224           70            male     -0.7326927        effective      29
## 225           70            male     -0.7326927       developing      29
## 226           70            male     -0.7326927       developing      29
## 233           47            male     -0.9239570        effective      32
## 234           47            male     -0.9239570       developing      32
## 235           39            male      0.5766805        effective      33
## 236           39            male      0.5766805 highly effective      33
## 237           39            male      0.5766805        effective      33
## 238           39            male      0.5766805        effective      33
## 239           47          female     -0.0836015        effective      34
## 240           47          female     -0.0836015        effective      34
## 241           47          female     -0.0836015        effective      34
## 242           47          female     -0.0836015        effective      34
## 243           47          female     -0.0836015       developing      34
## 244           47          female     -0.0836015       developing      34
## 245           47          female     -0.0836015       developing      34
## 246           47          female     -0.0836015 highly effective      34
## 247           47          female     -0.0836015        effective      34
## 248           47          female     -0.0836015       developing      34
## 249           47          female     -0.0836015       developing      34
## 250           47          female     -0.0836015        effective      34
## 251           54            male     -1.0795580        effective      35
## 252           54            male     -1.0795580        effective      35
## 253           44          female      1.0409020       developing      36
## 254           44          female      1.0409020        effective      36
## 255           44          female      1.0409020        effective      36
## 256           47            male     -1.0521080       developing      37
## 257           47            male     -1.0521080        effective      37
## 258           47            male     -1.0521080       developing      37
## 259           47            male     -1.0521080        effective      37
## 260           47            male     -1.0521080        effective      37
## 261           47            male     -1.0521080       developing      37
## 262           47            male     -1.0521080       developing      37
## 263           62            male     -0.7277681        effective      38
## 264           62            male     -0.7277681        effective      38
## 265           60            male     -0.3953965 highly effective      39
## 266           60            male     -0.3953965 highly effective      39
## 267           60            male     -0.3953965 highly effective      39
## 268           60            male     -0.3953965        effective      39
## 269           60            male     -0.3953965        effective      39
## 270           60            male     -0.3953965 highly effective      39
## 271           60            male     -0.3953965        effective      39
## 272           42            male     -0.2377786        effective      41
## 273           42            male     -0.2377786 highly effective      41
## 274           42            male     -0.2377786 highly effective      41
## 275           42            male     -0.2377786 highly effective      41
## 276           35            male      0.2749080 highly effective      42
## 277           35            male      0.2749080        effective      42
## 278           35            male      0.2749080 highly effective      42
## 282           49            male      1.0509500        effective      44
## 283           49            male      1.0509500        effective      44
## 284           61            male      0.2418185        effective      45
## 285           61            male      0.2418185 highly effective      45
## 286           61            male      0.2418185        effective      45
## 287           33            male      1.3493950       developing      46
## 288           33            male      1.3493950        effective      46
## 289           56          female     -0.2577254        effective      48
## 290           56          female     -0.2577254       developing      48
## 297           52            male     -0.6563948        effective      50
## 298           52            male     -0.6563948       developing      50
## 299           52            male     -0.6563948       developing      50
## 300           52            male     -0.6563948        effective      50
## 301           52            male     -0.6563948       developing      50
## 302           52            male     -0.6563948        effective      50
## 303           52            male     -0.6563948 highly effective      50
## 304           52            male     -0.6563948        effective      50
## 305           52            male     -0.6563948 highly effective      50
## 306           52            male     -0.6563948        effective      50
## 307           52            male     -0.6563948 highly effective      50
## 308           52            male     -0.6563948        effective      50
## 309           33          female      0.7244775 highly effective      51
## 310           33          female      0.7244775 highly effective      51
## 311           33          female      0.7244775        effective      51
## 312           33          female      0.7244775 highly effective      51
## 313           33          female      0.7244775 highly effective      51
## 314           57            male      0.6318343        effective      52
## 315           57            male      0.6318343        effective      52
## 316           57            male      0.6318343        effective      52
## 317           38          female      1.0709440        effective      53
## 318           38          female      1.0709440 highly effective      53
## 319           38          female      1.0709440        effective      53
## 320           38          female      1.0709440 highly effective      53
## 321           38          female      1.0709440        effective      53
## 322           38          female      1.0709440 highly effective      53
## 323           34          female     -1.4504940       developing      54
## 324           34          female     -1.4504940        effective      54
## 325           34          female     -1.4504940        effective      54
## 326           34          female     -1.4504940        effective      54
## 327           34          female     -1.4504940        effective      54
## 328           34            male      1.1558800        effective      55
## 329           34            male      1.1558800       developing      55
## 330           32            male     -0.3260148        effective      56
## 331           32            male     -0.3260148        effective      56
## 332           32            male     -0.3260148        effective      56
## 333           32            male     -0.3260148 highly effective      56
## 334           42          female      0.8846435        effective      57
## 335           43          female     -0.5583452 highly effective      58
## 336           43          female     -0.5583452        effective      58
## 337           43          female     -0.5583452        effective      58
## 338           43          female     -0.5583452        effective      58
## 339           43          female     -0.5583452       developing      58
## 340           43          female     -0.5583452        effective      58
## 341           43          female     -0.5583452        effective      58
## 342           43          female     -0.5583452       developing      58
## 343           43          female     -0.5583452        effective      58
## 344           35            male     -0.3415543       developing      59
## 345           62          female     -0.5040575       developing      60
## 346           62          female     -0.5040575       developing      60
## 347           52          female      0.7735240        effective      63
## 348           52          female      1.0639380        effective      64
## 349           52          female      1.0639380        effective      64
## 356           64            male     -1.0691620        effective      66
## 357           64            male     -1.0691620       developing      66
## 358           64            male     -1.0691620        effective      66
## 359           64            male     -1.0691620        effective      66
## 360           64            male     -1.0691620        effective      66
## 361           50            male      1.4156950        effective      67
## 362           60            male     -1.4229190       developing      68
## 363           60            male     -1.4229190       developing      68
## 364           43            male     -0.4899626 highly effective      70
## 365           43            male     -0.4899626 highly effective      70
## 366           43            male     -0.4899626        effective      70
## 367           43            male     -0.4899626        effective      70
## 368           43            male     -0.4899626        effective      70
## 369           43            male     -0.4899626 highly effective      70
## 370           43            male     -0.4899626        effective      70
## 371           43            male     -0.4899626 highly effective      70
## 381           52            male      0.7566829        effective      72
## 382           52            male      0.7566829        effective      72
## 383           52            male      0.7566829        effective      72
## 384           52            male      0.7566829        effective      72
## 385           52            male      0.7566829        effective      72
## 386           51            male      0.8808186 highly effective      73
## 387           51            male      0.8808186 highly effective      73
## 388           51            male      0.8808186 highly effective      73
## 389           51            male      0.8808186 highly effective      73
## 390           38            male     -0.5665014        effective      74
## 391           38            male     -0.5665014        effective      74
## 392           38            male     -0.5665014        effective      74
## 393           47          female      0.3394037       developing      75
## 394           43          female     -0.1513687       developing      76
## 400           43            male     -0.0252444        effective      78
## 401           43            male     -0.0252444        effective      78
## 402           43            male     -0.0252444       developing      78
## 403           57            male     -0.7467875       developing      79
## 404           57            male     -0.7467875        effective      79
## 405           51          female      0.9889485        effective      80
## 406           51          female      0.9889485       developing      80
## 407           51          female      0.9889485 highly effective      80
## 411           57            male     -0.7668921       developing      82
## 412           57            male     -0.7668921        effective      82
## 413           57            male     -0.7668921        effective      82
## 414           57            male     -0.7668921        effective      82
## 415           57            male     -0.7668921        effective      82
## 416           57            male     -0.7668921 highly effective      82
## 417           57            male     -0.7668921 highly effective      82
## 418           57            male     -0.7668921 highly effective      82
## 419           57            male     -0.7668921        effective      82
## 420           57            male     -0.7668921        effective      82
## 425           54          female      1.2326020 highly effective      84
## 426           54          female      1.2326020        effective      84
## 427           54          female      1.2326020 highly effective      84
## 428           54          female      1.2326020        effective      84
## 436           42            male      1.7731510        effective      86
## 437           42            male      1.7731510        effective      86
## 438           33            male      0.7245926        effective      87
## 439           62            male     -1.1816260       developing      88
## 440           62            male     -1.1816260       developing      88
## 441           62            male     -1.1816260       developing      88
## 442           62            male     -1.1816260        effective      88
## 443           62            male     -1.1816260       developing      88
## 444           62            male     -1.1816260       developing      88
## 445           35          female      1.7694520        effective      89
## 446           35          female      1.7694520        effective      89
## 447           61            male     -0.5872612        effective      90
## 448           52          female     -0.0018324 highly effective      91
## 449           52          female     -0.0018324 highly effective      91
## 450           60          female     -0.0566766        effective      92
## 451           60          female     -0.0566766        effective      92
## 452           60          female     -0.0566766        effective      92
## 453           60          female     -0.0566766        effective      92
## 454           60          female     -0.0566766       developing      92
## 455           60          female     -0.0566766        effective      92
## 456           32            male      1.2313940        effective      93
## 457           32            male      1.2313940        effective      93
## 458           32            male      1.2313940 highly effective      93
## 459           32            male      1.2313940       developing      93
## 460           32            male      1.2313940        effective      93
## 461           42          female      0.4203998       developing      94
## 462           42          female      0.4203998       developing      94
## 463           42          female      0.4203998        effective      94