Ogled bo v petek, 16. 12. 2022, ob 12.30 (po končanem predavanju) v
pisarni RZ-401. Za ogled se morate prijaviti na e-mail denis.marinsek@ef.uni-lj.si. Upoštevane bodo samo
prijave, poslane v ponedeljek, 12. 12., med 7.00 in 18.00. Pri izpisu
rezultatov je prikazan tudi stolpec Bonus (brez DN2).
rezultati <- read.table("./MTRD K2 - rezultati.csv", header=TRUE, sep=";", dec=",")
rezultati <- rezultati[1:304, ]
Rezultati K2
library(pastecs)
round(stat.desc(rezultati$K2_tocke), 2)
## nbr.val nbr.null nbr.na min max range sum median
## 304.00 3.00 0.00 0.00 15.00 15.00 2367.00 7.50
## mean SE.mean CI.mean.0.95 var std.dev coef.var
## 7.79 0.20 0.39 12.05 3.47 0.45
library(ggplot2)
ggplot(rezultati, aes(x = K2_tocke)) +
geom_bar() +
scale_x_continuous(breaks = (seq(from = 0, to = 15, by = 1.5))) +
xlab("Doseženo število točk") +
ylab("Frekvenca") +
stat_function(fun = function(x) dnorm(x,
mean = mean(rezultati$K2_tocke),
sd = sd(rezultati$K2_tocke)) * 304 * 1.5,
color = "darkred", linewidth = 1)
library(sjmisc)
frq(rezultati$K2_tocke)
## x <numeric>
## # total N=304 valid N=304 mean=7.79 sd=3.47
##
## Value | N | Raw % | Valid % | Cum. %
## -------------------------------------
## 0.00 | 3 | 0.99 | 0.99 | 0.99
## 1.50 | 9 | 2.96 | 2.96 | 3.95
## 3.00 | 31 | 10.20 | 10.20 | 14.14
## 4.50 | 37 | 12.17 | 12.17 | 26.32
## 6.00 | 41 | 13.49 | 13.49 | 39.80
## 7.50 | 44 | 14.47 | 14.47 | 54.28
## 9.00 | 51 | 16.78 | 16.78 | 71.05
## 10.50 | 36 | 11.84 | 11.84 | 82.89
## 12.00 | 23 | 7.57 | 7.57 | 90.46
## 13.50 | 20 | 6.58 | 6.58 | 97.04
## 15.00 | 9 | 2.96 | 2.96 | 100.00
## <NA> | 0 | 0.00 | <NA> | <NA>
Rezultati na obeh kolokvijih skupaj
library(psych)
##
## Attaching package: 'psych'
## The following objects are masked from 'package:ggplot2':
##
## %+%, alpha
psych::describe(rezultati$K_skupaj)
## vars n mean sd median trimmed mad min max range skew kurtosis se
## X1 1 290 15.86 5.01 15.5 15.79 5.19 4 27.5 23.5 0.16 -0.64 0.29
hist(rezultati$K_skupaj,
main = "Porazdelitev točk na obeh kolokvijih skupaj",
xlab = "Točke",
xlim = c(0, 30),
breaks = seq(0, 30, 2))
library(car)
## Loading required package: carData
##
## Attaching package: 'car'
## The following object is masked from 'package:psych':
##
## logit
scatterplot(rezultati$K1_tocke, rezultati$K2_tocke,
smooth = FALSE,
regLine = FALSE)
cor(rezultati$K1_tocke, rezultati$K2_tocke,
use = "complete.obs",
method = "pearson")
## [1] 0.4400033
Rezultati
print(rezultati[order(rezultati$Vpisnaštevilka), c(1, 5, 7, 8, 13)])
## Vpisnaštevilka K1_tocke K2_tocke K_skupaj Bonus
## 71 19112641 13 10.5 23.5 3.00
## 254 19123012 NA 4.5 NA 0.00
## 153 19142501 4 7.5 11.5 0.00
## 188 19143552 7 6.0 13.0 0.00
## 166 19147651 7 7.5 14.5 0.00
## 173 19155161 6 7.5 13.5 0.00
## 29 19155348 11 13.5 24.5 3.50
## 242 19160536 10 4.5 14.5 1.75
## 220 19162711 8 6.0 14.0 2.00
## 210 19162732 7 6.0 13.0 2.00
## 222 19163123 2 6.0 8.0 0.00
## 298 19163537 5 1.5 6.5 0.00
## 268 19164368 8 3.0 11.0 1.00
## 215 19165712 11 6.0 17.0 0.00
## 200 19166061 8 6.0 14.0 0.00
## 192 19170586 8 6.0 14.0 0.00
## 274 19180793 8 3.0 11.0 0.00
## 250 19180840 7 4.5 11.5 0.00
## 154 19180966 7 7.5 14.5 0.00
## 184 19181053 4 6.0 10.0 0.00
## 259 19181074 6 4.5 10.5 1.75
## 169 19181142 NA 7.5 NA 2.00
## 46 19181226 13 12.0 25.0 2.00
## 134 19181294 9 9.0 18.0 1.50
## 115 19181446 7 9.0 16.0 0.00
## 303 19181645 4 0.0 4.0 0.00
## 142 19181928 6 7.5 13.5 0.00
## 113 19182001 6 9.0 15.0 1.50
## 39 19182221 6 12.0 18.0 0.00
## 212 19182366 7 6.0 13.0 0.00
## 114 19183050 9 9.0 18.0 0.00
## 159 19183307 6 7.5 13.5 0.00
## 95 19184143 7 9.0 16.0 2.00
## 290 19184269 4 3.0 7.0 1.00
## 272 19184274 5 3.0 8.0 0.75
## 10 19184316 9 13.5 22.5 1.00
## 123 19184391 10 9.0 19.0 2.00
## 90 19184468 7 9.0 16.0 0.00
## 267 19184667 5 3.0 8.0 0.00
## 82 19184709 7 10.5 17.5 0.00
## 171 19185257 3 7.5 10.5 0.00
## 201 19185367 9 6.0 15.0 0.00
## 73 19185545 9 10.5 19.5 0.00
## 57 19185896 3 10.5 13.5 2.00
## 144 19186067 5 7.5 12.5 0.00
## 196 19186182 5 6.0 11.0 0.00
## 251 19186198 8 4.5 12.5 1.50
## 265 19186266 10 3.0 13.0 0.00
## 247 19187673 6 4.5 10.5 0.00
## 219 19191791 8 6.0 14.0 1.50
## 276 19192002 10 3.0 13.0 0.00
## 266 19192751 7 3.0 10.0 0.00
## 278 19193069 4 3.0 7.0 0.00
## 246 19193802 5 4.5 9.5 2.00
## 258 19195485 9 4.5 13.5 0.00
## 47 19200793 6 12.0 18.0 0.00
## 17 19200821 10 13.5 23.5 3.00
## 63 19200835 6 10.5 16.5 2.00
## 14 19200861 11 13.5 24.5 0.00
## 44 19200877 6 12.0 18.0 2.50
## 249 19200882 8 4.5 12.5 1.00
## 120 19200971 6 9.0 15.0 0.00
## 237 19201315 9 4.5 13.5 2.00
## 225 19201362 8 4.5 12.5 2.00
## 227 19201598 8 4.5 12.5 2.00
## 208 19201624 6 6.0 12.0 0.00
## 104 19201891 6 9.0 15.0 0.00
## 230 19202020 10 4.5 14.5 0.75
## 56 19202041 8 10.5 18.5 2.00
## 256 19202078 10 4.5 14.5 2.00
## 167 19202083 11 7.5 18.5 0.00
## 194 19202209 6 6.0 12.0 1.75
## 30 19202303 11 12.0 23.0 2.00
## 181 19202392 10 7.5 17.5 2.00
## 140 19202612 11 7.5 18.5 2.50
## 161 19202628 7 7.5 14.5 3.00
## 61 19202675 6 10.5 16.5 0.00
## 299 19202764 8 1.5 9.5 2.00
## 193 19202790 6 6.0 12.0 0.50
## 9 19202979 9 15.0 24.0 1.50
## 55 19203108 8 10.5 18.5 0.00
## 76 19203223 9 10.5 19.5 2.00
## 111 19203270 5 9.0 14.0 0.00
## 23 19203747 14 13.5 27.5 2.00
## 141 19203789 9 7.5 16.5 0.00
## 110 19203815 10 9.0 19.0 0.00
## 151 19203878 7 7.5 14.5 1.75
## 189 19204447 7 6.0 13.0 0.00
## 182 19204452 7 7.5 14.5 0.00
## 68 19204468 8 10.5 18.5 2.00
## 284 19205299 11 3.0 14.0 0.00
## 59 19205456 12 10.5 22.5 2.00
## 7 19205503 11 15.0 26.0 0.00
## 206 19205655 7 6.0 13.0 2.00
## 112 19205849 9 9.0 18.0 2.00
## 122 19205938 11 9.0 20.0 0.00
## 58 19206011 8 10.5 18.5 0.00
## 178 19206051 6 7.5 13.5 0.00
## 85 19206135 10 10.5 20.5 0.00
## 118 19206231 7 9.0 16.0 2.00
## 293 19206444 7 1.5 8.5 0.00
## 77 19206580 7 10.5 17.5 2.00
## 234 19206601 NA 4.5 NA 0.00
## 207 19206659 7 6.0 13.0 0.00
## 286 19206795 8 3.0 11.0 0.00
## 211 19206837 8 6.0 14.0 1.00
## 279 19206931 3 3.0 6.0 0.00
## 79 19207097 10 10.5 20.5 0.00
## 62 19207249 11 10.5 21.5 2.00
## 198 19207610 5 6.0 11.0 0.00
## 235 19207689 7 4.5 11.5 1.50
## 136 19207701 11 9.0 20.0 2.00
## 221 19207825 4 6.0 10.0 2.00
## 187 19207961 10 6.0 16.0 2.00
## 67 19208951 11 10.5 21.5 0.00
## 121 19211590 6 9.0 15.0 2.00
## 204 19212180 11 6.0 17.0 1.00
## 125 19212285 8 9.0 17.0 0.00
## 252 19212442 5 4.5 9.5 2.00
## 289 19212898 7 3.0 10.0 0.00
## 116 19213273 11 9.0 20.0 2.00
## 124 19213411 8 9.0 17.0 0.00
## 248 19213645 8 4.5 12.5 0.00
## 157 19213870 4 7.5 11.5 1.00
## 164 19213975 7 7.5 14.5 1.75
## 98 19214331 11 9.0 20.0 2.00
## 241 19214633 8 4.5 12.5 0.00
## 216 19214680 8 6.0 14.0 2.00
## 209 19216211 10 6.0 16.0 2.00
## 108 19220343 5 9.0 14.0 0.00
## 64 19224332 8 10.5 18.5 1.25
## 19 19225081 12 13.5 25.5 3.00
## 291 19225210 8 3.0 11.0 2.00
## 160 19225467 8 7.5 15.5 1.75
## 186 19225472 10 6.0 16.0 2.00
## 177 19225540 10 7.5 17.5 2.00
## 236 19225561 9 4.5 13.5 1.25
## 41 19225818 11 12.0 23.0 2.00
## 6 19226319 8 15.0 23.0 1.75
## 1 19226371 5 15.0 20.0 3.00
## 126 19226387 6 9.0 15.0 0.00
## 13 19226591 10 13.5 23.5 0.00
## 233 19226869 NA 4.5 NA 1.25
## 168 19226958 8 7.5 15.5 0.00
## 15 19226991 10 13.5 23.5 2.00
## 288 19227401 10 3.0 13.0 2.00
## 283 19227642 6 3.0 9.0 0.00
## 2 19227658 8 15.0 23.0 3.50
## 27 19227925 9 13.5 22.5 0.00
## 83 19228232 12 10.5 22.5 0.00
## 205 19228410 NA 6.0 NA 0.00
## 93 19228447 5 9.0 14.0 0.50
## 132 19228489 11 9.0 20.0 3.00
## 292 19228536 NA 3.0 NA 0.00
## 65 19228831 7 10.5 17.5 0.00
## 172 19228892 8 7.5 15.5 0.00
## 40 19229084 11 12.0 23.0 0.25
## 35 19229299 10 12.0 22.0 0.00
## 218 19229372 7 6.0 13.0 0.00
## 28 19229409 12 13.5 25.5 2.00
## 175 19229566 6 7.5 13.5 2.00
## 34 19229751 11 12.0 23.0 0.00
## 88 19230189 9 10.5 19.5 0.00
## 197 19230262 5 6.0 11.0 0.00
## 53 19230421 9 10.5 19.5 2.00
## 300 19230660 5 1.5 6.5 0.00
## 253 19230723 10 4.5 14.5 0.00
## 94 19230971 4 9.0 13.0 0.00
## 87 19231025 9 10.5 19.5 0.00
## 60 19231161 11 10.5 21.5 0.00
## 4 19231601 11 15.0 26.0 4.50
## 78 19231884 9 10.5 19.5 2.00
## 158 19231973 NA 7.5 NA 0.00
## 269 19232249 7 3.0 10.0 0.00
## 170 19232631 11 7.5 18.5 0.00
## 229 19233132 7 4.5 11.5 0.00
## 48 19233310 11 12.0 23.0 0.25
## 74 19233436 8 10.5 18.5 1.00
## 127 19233588 8 9.0 17.0 0.00
## 75 19233609 8 10.5 18.5 0.00
## 96 19234199 7 9.0 16.0 0.00
## 179 19234403 NA 7.5 NA 0.00
## 49 19234817 10 12.0 22.0 0.00
## 162 19234953 10 7.5 17.5 2.50
## 304 19235009 8 0.0 8.0 2.00
## 139 19235297 8 9.0 17.0 2.00
## 302 19235370 6 0.0 6.0 0.00
## 50 19238235 12 12.0 24.0 0.00
## 31 19238921 7 12.0 19.0 1.00
## 202 19240265 9 6.0 15.0 0.50
## 195 19242311 3 6.0 9.0 0.00
## 280 19243219 NA 3.0 NA 0.00
## 8 19248327 11 15.0 26.0 1.25
## 33 19249399 13 12.0 25.0 2.00
## 5 19250582 12 15.0 27.0 3.50
## 36 19252993 11 12.0 23.0 1.25
## 106 19253578 6 9.0 15.0 2.00
## 22 19258398 12 13.5 25.5 2.00
## 24 19261479 12 13.5 25.5 2.00
## 99 19261505 11 9.0 20.0 1.00
## 69 19264050 9 10.5 19.5 0.00
## 70 19266409 11 10.5 21.5 0.00
## 45 19285128 10 12.0 22.0 2.00
## 240 19414702 6 4.5 10.5 0.00
## 273 19455806 8 3.0 11.0 0.00
## 277 19561579 5 3.0 8.0 0.00
## 11 19569431 11 13.5 24.5 3.50
## 244 19569871 NA 4.5 NA 0.00
## 199 19570007 5 6.0 11.0 0.00
## 135 19570122 NA 9.0 NA 0.00
## 163 19570143 NA 7.5 NA 0.00
## 232 19570955 6 4.5 10.5 0.00
## 213 19571058 9 6.0 15.0 2.00
## 155 19573390 8 7.5 15.5 0.00
## 174 19573427 6 7.5 13.5 1.00
## 285 19576779 9 3.0 12.0 2.00
## 224 19576873 5 6.0 11.0 0.00
## 257 19576901 10 4.5 14.5 0.00
## 26 19576915 8 13.5 21.5 2.00
## 54 19576978 9 10.5 19.5 2.00
## 107 19579722 12 9.0 21.0 2.00
## 146 19579895 9 7.5 16.5 0.00
## 214 19579900 7 6.0 13.0 0.00
## 86 19580350 13 10.5 23.5 2.00
## 226 19582960 5 4.5 9.5 0.00
## 42 19587817 12 12.0 24.0 2.00
## 282 19589484 3 3.0 6.0 0.00
## 245 19589678 8 4.5 12.5 1.25
## 25 19589767 7 13.5 20.5 2.00
## 101 19589793 9 9.0 18.0 0.00
## 84 19590175 5 10.5 15.5 0.00
## 228 19590369 9 4.5 13.5 0.00
## 16 19590395 3 13.5 16.5 0.00
## 66 19590416 10 10.5 20.5 0.00
## 238 19590746 5 4.5 9.5 0.00
## 183 19591713 9 7.5 16.5 1.25
## 109 19591755 10 9.0 19.0 0.00
## 255 19591954 7 4.5 11.5 0.00
## 275 19592062 8 3.0 11.0 0.00
## 191 19592298 8 6.0 14.0 0.00
## 223 19592331 8 6.0 14.0 0.50
## 261 19596292 5 4.5 9.5 0.00
## 131 19596308 3 9.0 12.0 2.00
## 119 19596329 6 9.0 15.0 2.00
## 137 19596465 9 9.0 18.0 1.75
## 52 19596706 11 12.0 23.0 2.00
## 3 19596732 12 15.0 27.0 1.50
## 130 19596769 8 9.0 17.0 0.00
## 91 19596800 7 9.0 16.0 0.00
## 20 19596837 9 13.5 22.5 3.00
## 37 19598970 10 12.0 22.0 2.00
## 149 19599183 9 7.5 16.5 2.00
## 148 19608260 10 7.5 17.5 1.50
## 262 19610814 5 3.0 8.0 0.00
## 263 19610821 8 3.0 11.0 0.00
## 264 19610835 7 3.0 10.0 0.00
## 143 19610840 8 7.5 15.5 2.00
## 145 19610856 7 7.5 14.5 2.00
## 97 19610861 4 9.0 13.0 2.00
## 190 19610877 7 6.0 13.0 2.00
## 102 19610898 9 9.0 18.0 2.00
## 105 19610903 7 9.0 16.0 0.00
## 152 19610924 7 7.5 14.5 0.00
## 156 19610971 4 7.5 11.5 0.00
## 203 19610987 6 6.0 12.0 2.00
## 301 19611011 5 1.5 6.5 0.00
## 217 19611032 7 6.0 13.0 2.00
## 260 19611048 6 4.5 10.5 0.00
## 138 19611053 12 9.0 21.0 0.00
## 12 19611095 13 13.5 26.5 2.00
## 231 19611100 6 4.5 10.5 2.00
## 150 19611137 6 7.5 13.5 0.00
## 287 19611184 5 3.0 8.0 1.50
## 180 19611247 NA 7.5 NA 2.00
## 295 19611252 6 1.5 7.5 0.00
## 297 19611268 5 1.5 6.5 0.00
## 81 19611273 11 10.5 21.5 3.50
## 92 19611289 6 9.0 15.0 2.00
## 185 19611320 6 6.0 12.0 1.50
## 89 19611411 7 9.0 16.0 1.50
## 271 19611430 NA 3.0 NA 0.00
## 103 19611446 11 9.0 20.0 0.00
## 43 19611488 9 12.0 21.0 2.00
## 147 19611535 7 7.5 14.5 0.00
## 281 19611561 4 3.0 7.0 0.00
## 176 19611582 7 7.5 14.5 1.75
## 32 19611603 8 12.0 20.0 2.00
## 294 19611631 6 1.5 7.5 2.00
## 18 19611650 6 13.5 19.5 2.00
## 38 19611666 10 12.0 22.0 1.00
## 72 19611671 9 10.5 19.5 2.50
## 239 19611708 6 4.5 10.5 2.00
## 117 19611713 11 9.0 20.0 1.75
## 21 19611729 8 13.5 21.5 2.00
## 80 19611741 11 10.5 21.5 1.75
## 133 19611818 7 9.0 16.0 2.00
## 51 19611844 8 12.0 20.0 2.00
## 243 19613621 11 4.5 15.5 0.00
## 128 19613637 8 9.0 17.0 2.00
## 165 19613642 10 7.5 17.5 2.00
## 296 19613710 6 1.5 7.5 0.00
## 100 19613747 7 9.0 16.0 2.00
## 270 19613752 7 3.0 10.0 0.00
## 129 19613820 9 9.0 18.0 0.00