Klasteriranje varijabli
Učitavanje paketa
require(XLConnect)
require(ClustOfVar)
require(ggplot2)
require(reshape2)Učitavanje podataka i dodavanje varijabli
podaci.original <- readWorksheetFromFile(file="analiza_Petrica_4.xlsx", sheet=1, header=T)
podaci.original[is.na(podaci.original)] <- 0
podaci.original <- within(podaci.original,{
br_for_disk_bez_vijesti_kroz_br_stud <- broj_forum_diskusija_bez_vijesti / broj_studenata
br_for_post_bez_vij_kroz_br_for_disk_bez_vij <- broj_forum_postova_bez_vijesti / (1 + broj_forum_diskusija_bez_vijesti)
})Logaritmiranje varijabli koje poprimaju više od 10 različitih vrijednosti
number_of_values <- list()
for (i in names(podaci.original[-(1:3)])) number_of_values[[i]] <- length(unique(podaci.original[[i]]))logaritam <- function(x) log10(x+1)
podaci.logaritam <- podaci.original
for (i in names(podaci.original[-(1:3)])) {
if (number_of_values[[i]] > 10) podaci.logaritam[i] <- apply(podaci.original[i], 2, logaritam)
}Standardizacija podataka
podaci.standard <- podaci.logaritam
podaci.standard[-(1:3)] <- scale(podaci.logaritam[-(1:3)])Hijerarhijsko klasteriranje varijabli
stablo <- hclustvar(podaci.standard[,4:31])plot(stablo)
plot(stablo,type='index')
Stabilnost particije
S \(B>15\) ponekad ima više problema jer generira iste stupce pa treba pokušati više puta.
stab <- stability(stablo,B=15, graph=T)
Raspršenost prilagođenih Rand indeksa
Obični boxplot
boxplot(stab$matCR, col='yellow')
ggplot boxplot
ggplot(melt(stab$matCR), aes(y=value, x=Var2, fill=Var2)) + xlab('') + ylab('') +
geom_boxplot(alpha=0.5, outlier.alpha=1) + theme(legend.position = 'none')
Raspršenost prilagođenih Rand indeksa (samo do 10 klastera)
Obični boxplot
boxplot(stab$matCR[,1:9], col='yellow')
ggplot boxplot
ggplot(melt(stab$matCR[,1:9]), aes(y=value, x=Var2, fill=Var2)) + xlab('') + ylab('') +
geom_boxplot(alpha=0.5, outlier.alpha=1) + theme(legend.position = 'none')
Uzimamo da je 6 klastera
klaster6 <- cutreevar(stablo, 6, matsim=T) Veličine klastera
klaster6$size## [1] 4 5 8 4 2 5Izgled pojedinih klastera
klaster6$var## $cluster1
## squared loading
## broj_studenata 0.5814923
## broj_nastavnika 0.4387400
## broj_forum_diskusija 0.6907241
## broj_forum_diskusija_samo_vijesti 0.7553216
##
## $cluster2
## squared loading
## broj_forum_diskusija_bez_vijesti 0.8843514
## broj_forum_postova_bez_vijesti 0.9513263
## forum 0.5268741
## br_for_post_bez_vij_kroz_br_for_disk_bez_vij 0.6553161
## br_for_disk_bez_vijesti_kroz_br_stud 0.5946767
##
## $cluster3
## squared loading
## broj_pitanja_na_predmetu 0.7541720
## broj_testova_na_predmetu 0.7634358
## broj_grade_itema 0.7844071
## broj_aktivnosti_na_predmetu 0.6582544
## broj_stvarno_ocjenjenih_stavaka 0.5119125
## quiz 0.7652761
## page 0.3556373
## assign 0.3962607
##
## $cluster4
## squared loading
## broj_pracenih_aktivnosti_na_predmetu 0.8320785
## chat 0.3628753
## data 0.1343413
## ukljuceno_pracenje_na_kolegiju 0.8511091
##
## $cluster5
## squared loading
## broj_pojmova_u_rjecniku 0.8425786
## broj_rjecnika_u_kojima_sudjeluju_studenti 0.8425786
##
## $cluster6
## squared loading
## broj_punih_grupa 0.5913329
## journal 0.2371600
## workshop 0.7110752
## feedback 0.5686789
## choicegroup 0.6354951Homogenost klastera
klaster6$wss## [1] 2.466278 3.612545 4.989356 2.180404 1.685157 2.743742Postotak homogenosti particije
klaster6$E## [1] 47.39254Sintetičke varijable
options(width = 120)
klaster6$scores## cluster1 cluster2 cluster3 cluster4 cluster5 cluster6
## 1 -0.161321002 -2.04750205 -3.60080724 -0.4757366 -0.5151993 -3.37578507
## 2 0.128049928 1.59124255 2.15166949 -0.4757366 -0.1974676 0.57200087
## 3 0.637744775 1.15090732 0.55330467 -0.4757366 -0.5151993 0.45665219
## 4 -1.094851833 1.59124255 -0.07780664 -0.4757366 -0.5151993 -0.04900661
## 5 0.838140366 1.59124255 2.50510568 -0.4757366 -0.5151993 0.57200087
## 6 -1.595384460 -2.58049847 0.84821558 -0.4757366 -0.5151993 0.57200087
## 7 0.501045640 1.15090732 1.68653609 -0.4757366 -0.5151993 0.57200087
## 8 -1.172885606 1.59124255 0.29806210 -0.4757366 -0.5151993 0.57200087
## 9 0.012458936 1.15090732 0.67773457 -0.4757366 -0.5151993 0.45665219
## 10 0.302026568 1.33366295 -2.26976374 -0.4757366 -0.5151993 0.57200087
## 11 -0.763017292 1.59124255 -0.59384558 -0.4757366 -0.5151993 0.57200087
## 12 -0.338800037 1.59124255 2.78083880 -0.4757366 -0.5151993 0.57200087
## 13 -0.315510257 -1.65732073 1.08445015 -0.4757366 -0.5151993 0.57200087
## 14 -0.350790333 1.59124255 0.34798022 -0.4757366 -0.5151993 0.57200087
## 15 -0.607598403 1.59124255 0.11695157 -0.4757366 -0.5151993 0.57200087
## 16 0.334757981 -0.35559337 0.08804102 -0.4757366 1.0122496 0.07986409
## 17 -1.403295436 -3.72496287 0.94207185 -0.4757366 -0.5151993 0.57200087
## 18 0.007078749 1.59124255 1.00281363 -0.4757366 -0.5151993 0.34130351
## 19 -1.704752341 -3.42306251 -0.46162148 -0.4757366 -0.5151993 0.57200087
## 20 -1.691742391 -3.38898584 -2.74748308 -0.4757366 0.8803791 -6.88010483
## 21 1.851610660 0.36179641 -1.86444121 -0.4757366 0.3767863 0.57200087
## 22 -1.617198605 -2.99816010 1.33758250 -0.4757366 -0.5151993 0.57200087
## 23 0.253887061 1.33366295 1.83009031 -0.4757366 -0.5151993 0.07986409
## 24 2.445739142 1.59124255 4.60446686 1.7560699 -0.5151993 0.57200087
## 25 -0.672169008 1.15090732 0.86936642 -0.4757366 -0.5151993 0.57200087
## 26 -1.543822897 -0.50770733 -3.19549391 -0.4757366 0.7261436 -0.29969333
## 27 -2.228716020 1.33366295 -2.58670184 -0.4757366 -0.5151993 -0.65649207
## 28 -0.963896373 1.33366295 3.21364786 4.2707375 -0.5151993 0.57200087
## 29 -0.738325507 1.59124255 2.22140484 -0.4757366 -0.5151993 0.57200087
## 30 -1.163336587 1.33366295 2.95067509 -0.4757366 -0.5151993 0.57200087
## 31 -1.525409535 1.33366295 0.62609109 -0.4757366 -0.5151993 -0.14896648
## 32 0.458069673 1.59124255 2.09661918 -0.4757366 -0.5151993 0.57200087
## 33 2.433695061 2.03157779 3.82636256 -0.4757366 -0.5151993 0.57200087
## 34 0.482655053 1.59124255 4.14930502 -0.4757366 -0.5151993 0.57200087
## 35 -2.203075337 -1.92121058 -4.30316333 2.7010912 -0.5151993 -6.95670700
## 36 0.422919742 1.59124255 2.05796402 -0.4757366 -0.5151993 0.57200087
## 37 0.536044060 1.59124255 1.66068589 -0.4757366 -0.5151993 0.57200087
## 38 0.383133574 1.59124255 -2.85603445 -0.4757366 -0.5151993 0.57200087
## 39 -1.067991269 -1.77539945 1.12846862 -0.4757366 -0.5151993 -0.14896648
## 40 3.703832786 1.59124255 1.79802802 -0.4757366 0.5402825 0.57200087
## 41 3.421401812 1.59124255 1.26650519 -0.4757366 0.5402825 0.57200087
## 42 3.309665467 1.15090732 3.40583693 -0.4757366 -0.5151993 0.57200087
## 43 -1.531092038 1.59124255 -1.51060537 -0.4757366 -0.5151993 0.57200087
## 44 -0.026772949 -1.81473075 -3.53081984 -0.4757366 -0.5151993 -0.91116451
## 45 -0.967090667 -1.27135844 2.35905909 -0.4757366 -0.5151993 0.57200087
## 46 -1.739644147 1.59124255 -0.72447217 -0.4757366 -0.5151993 0.57200087
## 47 -0.485167330 1.59124255 1.69474591 -0.4757366 -0.5151993 0.57200087
## 48 0.793665284 1.59124255 2.51523928 -0.4757366 -0.5151993 0.57200087
## 49 -0.413434857 1.59124255 0.55050716 -0.4757366 -0.5151993 -0.14896648
## 50 -0.338318820 1.33366295 -2.19878212 -0.4757366 0.2225508 0.57200087
## 51 -1.469051800 -2.89438993 -1.28135106 -0.4757366 4.0355150 -3.29583579
## 52 -0.402375875 -2.35081634 0.63796708 -0.4757366 0.9220796 -0.04900661
## 53 1.935244364 -3.74725891 1.43188458 -0.4757366 5.4900503 0.57200087
## 54 1.690316398 -2.77475684 1.61672022 -0.4757366 5.4900503 0.57200087
## 55 -1.004646196 -2.66267509 -2.68447598 -0.4757366 -0.5151993 -5.20654558
## 56 1.543100544 1.59124255 -2.42521759 -0.4757366 0.3767863 0.57200087
## 57 -1.433369116 -1.63405395 -0.79031494 -0.4757366 -0.5151993 -0.14896648
## 58 2.066287772 1.33366295 0.54620286 -0.4757366 -0.5151993 0.07986409
## 59 -0.544514854 0.13175247 -0.58246342 -0.4757366 -0.5151993 0.57200087
## 60 -0.891561266 1.33366295 -0.62006174 -0.4757366 -0.5151993 -0.34598833
## 61 0.276986230 -1.87657027 -1.81813228 -0.4757366 -0.5151993 0.07986409
## 62 0.836942716 1.33366295 -0.39438984 -0.4757366 -0.5151993 0.57200087
## 63 1.178835371 -4.63018023 0.45551449 -0.4757366 -0.5151993 0.57200087
## 64 1.983752538 -3.47296457 0.49291880 -0.4757366 -0.5151993 0.57200087
## 65 -0.424217366 1.33366295 -0.30219808 1.3626104 -0.5151993 0.57200087
## 66 -0.906874569 0.50826815 1.37787155 -0.4757366 -0.5151993 0.57200087
## 67 -0.673269176 -4.26650766 -5.24247476 -0.4757366 -0.5151993 -6.33422983
## 68 2.728067641 1.33366295 1.43780527 -0.4757366 -0.5151993 0.57200087
## 69 1.532043597 -3.83636959 1.39994283 -0.4757366 5.4900503 0.57200087
## 70 1.132285442 -1.99103213 -0.37070633 -0.4757366 -0.5151993 0.57200087
## 71 0.933191920 1.33366295 1.94785357 -0.4757366 -0.5151993 0.57200087
## 72 0.797961189 0.05922973 2.97326961 -0.4757366 -0.5151993 0.57200087
## 73 1.096468943 -3.37925935 0.80403387 -0.4757366 -0.5151993 0.57200087
## 74 4.034255844 1.59124255 2.67371549 -0.4757366 -0.5151993 0.57200087
## 75 0.508782520 -2.29168767 0.37708916 -0.4757366 0.3061252 0.07986409
## 76 4.151475289 0.89332772 1.34379126 -0.4757366 -0.5151993 0.57200087
## 77 1.567810177 -0.61616350 1.40459646 -0.4757366 -0.5151993 0.57200087
## 78 3.757307970 1.33366295 0.25858375 -0.4757366 -0.5151993 0.57200087
## 79 -0.354688263 1.59124255 -1.35327397 -0.4757366 -0.5151993 0.57200087
## 80 1.274861774 -1.32891581 -0.68198081 4.1186231 -0.5151993 0.57200087
## 81 0.411100953 -0.61617847 -3.03734607 0.4434369 1.1145364 0.57200087
## 82 0.593324852 -2.20514776 -1.43632640 -0.4757366 0.5839717 0.57200087
## 83 0.030926618 1.59124255 0.46162179 -0.4757366 -0.5151993 0.57200087
## 84 -0.984589158 -1.60270503 0.70738886 -0.4757366 -0.5151993 0.57200087
## 85 -1.454470857 -0.05816581 1.27189537 -0.4757366 -0.5151993 0.57200087
## 86 0.505790748 -1.73854095 -3.79877465 1.3626104 5.2354996 0.57200087
## 87 3.751824870 1.33366295 2.95908084 -0.4757366 -0.5151993 0.57200087
## 88 4.034255844 1.59124255 2.70858720 -0.4757366 -0.5151993 0.57200087
## 89 -0.051873175 0.62764950 0.77261105 -0.4757366 -0.5151993 -0.04900661
## 90 -1.119697523 -0.19926887 0.30978566 -0.4757366 -0.5151993 0.57200087
## 91 -0.492998420 1.33366295 -0.24740724 -0.4757366 -0.5151993 -0.47179007
## 92 -0.940007444 -3.57558277 -0.45939142 -0.4757366 -0.5151993 -3.86243994
## 93 0.002296317 1.15090732 1.71700094 -0.4757366 -0.5151993 0.57200087
## 94 0.337715495 -2.01866014 0.23261945 -0.4757366 -0.5151993 -0.04900661
## 95 -0.097738684 0.63712660 0.28267121 -0.4757366 1.0438753 0.57200087
## 96 -0.671923325 1.33366295 1.79455597 -0.4757366 -0.5151993 0.57200087
## 97 -2.163279017 -2.10051742 -4.13338142 -0.4757366 0.4919863 0.57200087
## 98 -0.775884670 -1.19488286 -2.82555085 -0.4757366 -0.1974676 0.57200087
## 99 -0.379006280 0.79540050 -3.33035558 0.4434369 1.3299813 0.57200087
## 100 -0.622616223 1.59124255 -2.33346219 -0.4757366 4.2213761 0.57200087
## 101 -0.661437254 1.59124255 -1.69116441 -0.4757366 5.4900503 0.57200087
## 102 2.625666620 1.59124255 -2.56305825 -0.4757366 4.3599386 0.57200087
## 103 -1.407493497 -2.11495415 -3.07807372 -0.4757366 -0.1974676 -0.34598833
## 104 3.762791071 0.63574812 0.75166957 -0.4757366 -0.5151993 0.57200087
## 105 -1.339537872 -5.36265685 -2.44160125 -0.4757366 -0.5151993 -1.57231484
## 106 -2.742911921 -2.25527229 -4.39735415 4.4090800 1.3133108 -1.50326116
## 107 -2.534408812 -2.12506055 -4.85347296 3.0825750 -0.5151993 -1.16185123
## 108 0.790713236 1.59124255 3.57586892 3.4500028 -0.5151993 0.57200087
## 109 -0.687800791 1.59124255 -2.83736493 -0.4757366 -0.5151993 0.57200087
## 110 0.030513064 1.15090732 1.49318817 -0.4757366 -0.5151993 0.57200087
## 111 -0.943462811 1.15090732 1.12882812 -0.4757366 -0.5151993 0.57200087
## 112 -3.723731342 -1.90060755 -4.05342622 -0.4757366 0.6945180 -0.95624311
## 113 -4.244034672 -2.00750119 -4.07132624 -0.4757366 0.6945180 -1.01606013
## 114 -1.716074781 1.33366295 0.78435699 -0.4757366 -0.5151993 -0.57699949
## 115 -1.823857186 -0.96250360 -4.92533546 -0.4757366 -0.5151993 0.57200087
## 116 -1.684931174 -2.01948689 -3.90693471 -0.4757366 -0.5151993 0.57200087
## 117 -0.004486887 -2.56863900 -3.37428369 -0.4757366 5.0869342 -0.03548459
## 118 2.012611557 1.59124255 3.10770499 -0.4757366 0.3061252 0.57200087
## 119 1.236309783 1.59124255 1.36904945 -0.4757366 1.0438753 0.57200087
## 120 1.765634392 1.59124255 1.73431818 -0.4757366 0.5402825 0.57200087
## 121 -2.087892835 -1.08023070 -1.80248155 -0.4757366 3.8758547 -5.71190474
## 122 -2.016986340 -2.24543711 -3.30430339 -0.4757366 -0.5151993 -0.59020771
## 123 1.236206870 0.56881580 -2.68045754 0.4434369 1.2398113 0.57200087
## 124 -1.075553108 -1.64745081 0.47152934 -0.4757366 -0.5151993 0.57200087
## 125 -1.561164313 0.35524751 0.91900572 -0.4757366 -0.5151993 0.57200087
## 126 -1.539646713 1.59124255 2.60779430 -0.4757366 -0.5151993 0.57200087
## 127 1.094065647 -0.63611820 1.70604138 -0.4757366 -0.5151993 0.57200087
## 128 -1.518073645 0.35623937 -1.20904055 -0.4757366 -0.5151993 0.57200087
## 129 0.204108795 0.10464895 -0.63921526 -0.4757366 -0.5151993 0.57200087
## 130 -0.643701495 1.33366295 0.44322597 -0.4757366 -0.5151993 0.34130351
## 131 -0.491517195 1.33366295 0.75831046 -0.4757366 -0.5151993 -0.04900661
## 132 -1.009132378 1.59124255 1.44686100 -0.4757366 -0.1974676 0.57200087
## 133 0.888914112 1.59124255 2.32074090 -0.4757366 3.5182379 0.57200087
## 134 0.918299650 1.59124255 1.50490877 -0.4757366 -0.5151993 0.57200087
## 135 -1.448966398 1.33366295 1.34000831 -0.4757366 -0.5151993 -0.29969333
## 136 -1.975628174 -0.63732905 -1.85735481 -0.4757366 -0.5151993 0.57200087
## 137 0.227655651 -1.09346333 -0.19402532 4.0275962 -0.5151993 -0.29969333
## 138 -0.787402900 1.33366295 0.01867922 -0.4757366 -0.5151993 0.57200087
## 139 -1.842587942 1.33366295 -1.17787973 -0.4757366 1.0438753 -1.04336668
## 140 0.168618319 -0.26159014 -1.50793681 -0.4757366 5.2714331 -0.64110326
## 141 -2.727745241 -3.28036663 1.18065085 -0.4757366 2.7367986 -1.43884359
## 142 -2.280624040 -1.41206132 1.08545586 -0.4757366 -0.5151993 -0.45947022
## 143 -1.728682087 1.59124255 -1.61566477 -0.4757366 -0.5151993 0.57200087
## 144 -0.647948071 1.59124255 0.55029558 -0.4757366 -0.5151993 -0.29969333
## 145 0.350292627 1.15090732 -0.68657829 -0.4757366 -0.5151993 0.57200087
## 146 1.014262680 1.33366295 3.35159029 -0.4757366 -0.5151993 0.57200087
## 147 -3.680642943 -5.55846870 -2.39223522 2.5087242 -0.5151993 -5.98516353
## 148 -0.093332759 -0.63063839 -2.57576767 -0.4757366 0.2225508 0.57200087
## 149 -1.879657634 -2.26743544 0.61548970 -0.4757366 -0.5151993 -0.23063965
## 150 -1.117553218 -2.59146324 0.62855927 -0.4757366 0.3767863 -0.50216558
## 151 3.762791071 0.27023685 0.35041974 -0.4757366 -0.5151993 0.57200087
## 152 -2.526591075 -5.63585610 -5.67974680 5.0081919 -0.5151993 -15.17558539
## 153 -0.736594140 1.15090732 2.06535424 -0.4757366 -0.5151993 0.57200087
## 154 -1.941919589 -2.20228475 0.76699265 -0.4757366 -0.5151993 0.57200087
## 155 1.839885241 -1.14076365 -2.38017263 4.7259893 -0.5151993 0.57200087
## 156 0.391687381 1.59124255 -2.45792215 -0.4757366 0.3767863 0.57200087
## 157 -1.139650913 1.59124255 2.76860140 -0.4757366 -0.5151993 0.57200087
## 158 0.414783290 -1.20909957 -1.06775917 -0.4757366 -0.5151993 -0.60066077
## 159 0.571779202 1.59124255 2.66362169 -0.4757366 -0.5151993 0.57200087
## 160 0.914636463 1.59124255 2.86275918 -0.4757366 -0.5151993 0.57200087
## 161 -1.797288571 -1.72125820 -2.66689425 -0.4757366 -0.5151993 -0.29969333
## 162 -0.361879186 1.59124255 2.83593516 -0.4757366 -0.5151993 0.57200087
## 163 0.353809435 -2.30278495 0.11624696 -0.4757366 -0.5151993 -3.56490125
## 164 1.171948347 1.59124255 -1.44872255 -0.4757366 -0.5151993 0.57200087
## 165 -0.129437743 -2.46285172 -2.54944858 4.7082821 -0.5151993 -0.16435529
## 166 0.202264896 -2.48016510 -3.10014735 -0.4757366 -0.5151993 0.14614845
## 167 -0.569458407 1.33366295 1.62540755 -0.4757366 -0.5151993 0.57200087
## 168 -0.198029019 0.89332772 1.10527739 -0.4757366 -0.5151993 0.57200087
## 169 -0.200209035 0.64839040 -2.36174962 -0.4757366 0.6945180 0.07986409
## 170 -0.312875788 0.02746424 -3.11459590 -0.4757366 0.6945180 -0.04900661
## 171 -0.669848797 1.59124255 1.91225440 -0.4757366 -0.5151993 0.57200087
## 172 -0.464773100 1.59124255 2.74609190 -0.4757366 -0.5151993 0.57200087
## 173 -1.036638305 0.64839040 2.08339337 -0.4757366 -0.5151993 0.57200087
## 174 0.318752217 -4.61599305 -1.91089962 7.6668951 -0.5151993 0.57200087
## 175 0.099768740 -4.56509501 -1.98302408 8.0635845 0.1202641 0.57200087
## 176 -0.963593808 -1.92195488 -2.91586402 -0.4757366 -0.5151993 -0.04900661
## 177 -0.443378209 -4.55560862 -2.23843428 7.2943225 -0.5151993 0.57200087
## 178 2.649516476 1.59124255 3.15534329 -0.4757366 -0.5151993 0.57200087
## 179 3.421401812 1.59124255 1.85633259 -0.4757366 1.0438753 0.57200087
## 180 3.444691680 1.59124255 2.06100080 -0.4757366 -0.5151993 0.57200087
## 181 3.592096441 1.59124255 2.74609190 -0.4757366 -0.5151993 0.57200087
## 182 -0.612630516 0.89332772 1.27290889 -0.4757366 -0.5151993 0.57200087
## 183 -1.235932470 1.33366295 3.15534329 -0.4757366 -0.5151993 -0.14896648
## 184 -0.871876800 1.59124255 2.54142370 -0.4757366 -0.5151993 0.57200087
## 185 1.505730108 -1.93817156 2.95908084 2.8532056 -0.5151993 -0.14896648
## 186 -2.087185922 -1.77085566 -4.19646017 4.1395998 -0.5151993 -0.45947022
## 187 0.186007144 0.89332772 -2.32287019 0.4434369 1.2398113 0.57200087
## 188 -0.048994611 1.59124255 2.79709392 -0.4757366 -0.5151993 0.57200087
## 189 1.634125923 1.59124255 1.64444685 -0.4757366 -0.5151993 0.57200087
## 190 -0.275884933 0.63574812 -2.51150201 0.4434369 1.3217218 0.57200087
## 191 2.168791269 1.59124255 0.31575024 -0.4757366 -0.5151993 0.57200087
## 192 0.322831240 1.59124255 -0.55362636 -0.4757366 -0.5151993 0.57200087
## 193 -1.230134385 -0.62897443 0.12255926 -0.4757366 -0.5151993 0.57200087
## 194 -0.801758361 0.33172134 2.17084293 -0.4757366 -0.5151993 0.57200087
## 195 -1.099889485 1.59124255 3.37120072 -0.4757366 -0.5151993 0.57200087
## 196 2.226016200 1.59124255 -0.87919747 -0.4757366 -0.5151993 0.57200087
## 197 2.017874289 1.59124255 -0.97959336 -0.4757366 -0.5151993 0.57200087
## 198 0.407962641 1.33366295 -1.59200406 -0.4757366 -0.5151993 0.57200087
## 199 0.914667740 1.59124255 0.18304258 -0.4757366 -0.5151993 0.57200087
## 200 1.126548697 -1.86537979 -2.60945396 -0.4757366 -0.5151993 0.57200087
## 201 -0.918978519 1.59124255 1.53703069 -0.4757366 -0.5151993 0.57200087
## 202 1.358630146 1.59124255 3.35819863 3.5550856 -0.5151993 0.57200087
## 203 0.740371252 1.00915104 0.05042474 -0.4757366 -0.5151993 0.57200087
## 204 -0.047528899 1.33366295 0.62189964 -0.4757366 -0.5151993 0.45665219
## 205 1.831951795 1.33366295 3.31792102 -0.4757366 -0.5151993 0.57200087
## 206 0.806291608 -0.63515758 1.39081022 -0.4757366 -0.5151993 0.57200087
## 207 0.718020824 1.33366295 -3.07086217 -0.4757366 -0.5151993 0.57200087
## 208 0.117207142 0.64818654 -3.27140987 -0.4757366 -0.5151993 -0.70062065
## 209 0.650760945 1.33366295 -3.29939229 -0.4757366 -0.5151993 -0.14896648
## 210 -1.485468375 1.59124255 2.59972826 4.2534787 -0.5151993 0.57200087Matrice sličnosti varijabli unutar klastera
options(width = 80)
klaster6$sim## $cluster1
## broj_studenata broj_nastavnika
## broj_studenata 1.0000000 0.1911859
## broj_nastavnika 0.1911859 1.0000000
## broj_forum_diskusija 0.2018736 0.1254877
## broj_forum_diskusija_samo_vijesti 0.2741879 0.1561133
## broj_forum_diskusija
## broj_studenata 0.2018736
## broj_nastavnika 0.1254877
## broj_forum_diskusija 1.0000000
## broj_forum_diskusija_samo_vijesti 0.5445937
## broj_forum_diskusija_samo_vijesti
## broj_studenata 0.2741879
## broj_nastavnika 0.1561133
## broj_forum_diskusija 0.5445937
## broj_forum_diskusija_samo_vijesti 1.0000000
##
## $cluster2
## broj_forum_diskusija_bez_vijesti
## broj_forum_diskusija_bez_vijesti 1.0000000
## broj_forum_postova_bez_vijesti 0.9150902
## forum 0.3636337
## br_for_post_bez_vij_kroz_br_for_disk_bez_vij 0.4301736
## br_for_disk_bez_vijesti_kroz_br_stud 0.5182548
## broj_forum_postova_bez_vijesti
## broj_forum_diskusija_bez_vijesti 0.9150902
## broj_forum_postova_bez_vijesti 1.0000000
## forum 0.3679338
## br_for_post_bez_vij_kroz_br_for_disk_bez_vij 0.7060845
## br_for_disk_bez_vijesti_kroz_br_stud 0.4689138
## forum
## broj_forum_diskusija_bez_vijesti 0.3636337
## broj_forum_postova_bez_vijesti 0.3679338
## forum 1.0000000
## br_for_post_bez_vij_kroz_br_for_disk_bez_vij 0.2337657
## br_for_disk_bez_vijesti_kroz_br_stud 0.2015911
## br_for_post_bez_vij_kroz_br_for_disk_bez_vij
## broj_forum_diskusija_bez_vijesti 0.4301736
## broj_forum_postova_bez_vijesti 0.7060845
## forum 0.2337657
## br_for_post_bez_vij_kroz_br_for_disk_bez_vij 1.0000000
## br_for_disk_bez_vijesti_kroz_br_stud 0.1804472
## br_for_disk_bez_vijesti_kroz_br_stud
## broj_forum_diskusija_bez_vijesti 0.5182548
## broj_forum_postova_bez_vijesti 0.4689138
## forum 0.2015911
## br_for_post_bez_vij_kroz_br_for_disk_bez_vij 0.1804472
## br_for_disk_bez_vijesti_kroz_br_stud 1.0000000
##
## $cluster3
## broj_pitanja_na_predmetu
## broj_pitanja_na_predmetu 1.0000000
## broj_testova_na_predmetu 0.7641184
## broj_grade_itema 0.3895632
## broj_aktivnosti_na_predmetu 0.3901420
## broj_stvarno_ocjenjenih_stavaka 0.2669706
## quiz 0.7491235
## page 0.2622591
## assign 0.1101341
## broj_testova_na_predmetu broj_grade_itema
## broj_pitanja_na_predmetu 0.76411835 0.3895632
## broj_testova_na_predmetu 1.00000000 0.4115074
## broj_grade_itema 0.41150737 1.0000000
## broj_aktivnosti_na_predmetu 0.30957640 0.5522471
## broj_stvarno_ocjenjenih_stavaka 0.25137240 0.5160956
## quiz 0.97865717 0.4267727
## page 0.25204333 0.1444383
## assign 0.08494653 0.6710231
## broj_aktivnosti_na_predmetu
## broj_pitanja_na_predmetu 0.3901420
## broj_testova_na_predmetu 0.3095764
## broj_grade_itema 0.5522471
## broj_aktivnosti_na_predmetu 1.0000000
## broj_stvarno_ocjenjenih_stavaka 0.3006252
## quiz 0.3048576
## page 0.2839175
## assign 0.3213800
## broj_stvarno_ocjenjenih_stavaka quiz
## broj_pitanja_na_predmetu 0.26697056 0.74912355
## broj_testova_na_predmetu 0.25137240 0.97865717
## broj_grade_itema 0.51609564 0.42677275
## broj_aktivnosti_na_predmetu 0.30062518 0.30485758
## broj_stvarno_ocjenjenih_stavaka 1.00000000 0.26034183
## quiz 0.26034183 1.00000000
## page 0.03346099 0.24950822
## assign 0.27644337 0.08578442
## page assign
## broj_pitanja_na_predmetu 0.26225914 0.11013406
## broj_testova_na_predmetu 0.25204333 0.08494653
## broj_grade_itema 0.14443835 0.67102307
## broj_aktivnosti_na_predmetu 0.28391754 0.32137995
## broj_stvarno_ocjenjenih_stavaka 0.03346099 0.27644337
## quiz 0.24950822 0.08578442
## page 1.00000000 0.06373589
## assign 0.06373589 1.00000000
##
## $cluster4
## broj_pracenih_aktivnosti_na_predmetu
## broj_pracenih_aktivnosti_na_predmetu 1.00000000
## chat 0.09086755
## data 0.01268011
## ukljuceno_pracenje_na_kolegiju 0.85667135
## chat data
## broj_pracenih_aktivnosti_na_predmetu 0.09086755 0.01268011
## chat 1.00000000 0.12782115
## data 0.12782115 1.00000000
## ukljuceno_pracenje_na_kolegiju 0.10933708 0.01542094
## ukljuceno_pracenje_na_kolegiju
## broj_pracenih_aktivnosti_na_predmetu 0.85667135
## chat 0.10933708
## data 0.01542094
## ukljuceno_pracenje_na_kolegiju 1.00000000
##
## $cluster5
## broj_pojmova_u_rjecniku
## broj_pojmova_u_rjecniku 1.0000000
## broj_rjecnika_u_kojima_sudjeluju_studenti 0.4694403
## broj_rjecnika_u_kojima_sudjeluju_studenti
## broj_pojmova_u_rjecniku 0.4694403
## broj_rjecnika_u_kojima_sudjeluju_studenti 1.0000000
##
## $cluster6
## broj_punih_grupa journal workshop feedback choicegroup
## broj_punih_grupa 1.0000000 0.115873738 0.3005885 0.162268675 0.263277644
## journal 0.1158737 1.000000000 0.3863899 0.002251528 0.001187629
## workshop 0.3005885 0.386389850 1.0000000 0.214872855 0.247431654
## feedback 0.1622687 0.002251528 0.2148729 1.000000000 0.550014219
## choicegroup 0.2632776 0.001187629 0.2474317 0.550014219 1.000000000Osnovne informacije o klasterima
summary(klaster6)##
## Call:
## cutreevar(obj = stablo, k = 6, matsim = T)
##
##
##
## Data:
## number of observations: 210
## number of variables: 28
## number of clusters: 6
##
## Cluster 1 :
## squared loading
## broj_studenata 0.58
## broj_nastavnika 0.44
## broj_forum_diskusija 0.69
## broj_forum_diskusija_samo_vijesti 0.76
##
##
## Cluster 2 :
## squared loading
## broj_forum_diskusija_bez_vijesti 0.88
## broj_forum_postova_bez_vijesti 0.95
## forum 0.53
## br_for_post_bez_vij_kroz_br_for_disk_bez_vij 0.66
## br_for_disk_bez_vijesti_kroz_br_stud 0.59
##
##
## Cluster 3 :
## squared loading
## broj_pitanja_na_predmetu 0.75
## broj_testova_na_predmetu 0.76
## broj_grade_itema 0.78
## broj_aktivnosti_na_predmetu 0.66
## broj_stvarno_ocjenjenih_stavaka 0.51
## quiz 0.77
## page 0.36
## assign 0.40
##
##
## Cluster 4 :
## squared loading
## broj_pracenih_aktivnosti_na_predmetu 0.83
## chat 0.36
## data 0.13
## ukljuceno_pracenje_na_kolegiju 0.85
##
##
## Cluster 5 :
## squared loading
## broj_pojmova_u_rjecniku 0.84
## broj_rjecnika_u_kojima_sudjeluju_studenti 0.84
##
##
## Cluster 6 :
## squared loading
## broj_punih_grupa 0.59
## journal 0.24
## workshop 0.71
## feedback 0.57
## choicegroup 0.64
##
##
## Gain in cohesion (in %): 47.39KMeans algoritam za klasteriranje varijabli
- Random inicijalizacija sa 6 klastera
- Algoritam se ponavlja 200 puta s različitim inicijalizacijama
KMvar <- kmeansvar(X.quanti=podaci.standard[,4:31],init=6,nstart=200,matsim=T)Veličine klastera
KMvar$size## [1] 6 3 3 8 5 3Izgled pojedinih klastera
KMvar$var## $cluster1
## squared loading
## broj_forum_diskusija 0.6043900
## broj_forum_diskusija_bez_vijesti 0.8977130
## broj_forum_postova_bez_vijesti 0.9504846
## forum 0.4937948
## br_for_post_bez_vij_kroz_br_for_disk_bez_vij 0.6295246
## br_for_disk_bez_vijesti_kroz_br_stud 0.5729048
##
## $cluster2
## squared loading
## broj_pracenih_aktivnosti_na_predmetu 0.8978129
## chat 0.2956916
## ukljuceno_pracenje_na_kolegiju 0.9126937
##
## $cluster3
## squared loading
## broj_pojmova_u_rjecniku 0.8429154
## broj_rjecnika_u_kojima_sudjeluju_studenti 0.7459314
## data 0.1853454
##
## $cluster4
## squared loading
## broj_pitanja_na_predmetu 0.7541720
## broj_testova_na_predmetu 0.7634358
## broj_grade_itema 0.7844071
## broj_aktivnosti_na_predmetu 0.6582544
## broj_stvarno_ocjenjenih_stavaka 0.5119125
## quiz 0.7652761
## page 0.3556373
## assign 0.3962607
##
## $cluster5
## squared loading
## broj_punih_grupa 0.5913329
## journal 0.2371600
## workshop 0.7110752
## feedback 0.5686789
## choicegroup 0.6354951
##
## $cluster6
## squared loading
## broj_studenata 0.6882194
## broj_nastavnika 0.5660283
## broj_forum_diskusija_samo_vijesti 0.6519240Homogenost klastera
KMvar$wss## [1] 4.148812 2.106198 1.774192 4.989356 2.743742 1.906172Postotak homogenosti particije
KMvar$E## [1] 47.34662Sintetičke varijable
options(width = 120)
KMvar$scores## cluster1 cluster2 cluster3 cluster4 cluster5 cluster6
## 1 -1.986772372 -0.4387962 -0.5601019 -3.60080724 -3.37578507 -0.120502531
## 2 1.633353809 -0.4387962 -0.2503834 2.15166949 0.57200087 -0.132220722
## 3 1.163164131 -0.4387962 -0.5601019 0.55330467 0.45665219 0.659269618
## 4 1.451771089 -0.4387962 -0.5601019 -0.07780664 -0.04900661 -1.325502465
## 5 1.726700163 -0.4387962 -0.5601019 2.50510568 0.57200087 0.558694596
## 6 -2.990329429 -0.4387962 -0.5601019 0.84821558 0.57200087 -0.811345336
## 7 1.235569188 -0.4387962 -0.5601019 1.68653609 0.57200087 0.344445569
## 8 1.290688500 -0.4387962 -0.5601019 0.29806210 0.57200087 -1.067803513
## 9 1.197351246 -0.4387962 -0.5601019 0.67773457 0.45665219 -0.198373346
## 10 1.443992652 -0.4387962 -0.5601019 -2.26976374 0.57200087 -0.004098394
## 11 1.290688500 -0.4387962 -0.5601019 -0.59384558 0.57200087 -0.545508819
## 12 1.388771835 -0.4387962 -0.5601019 2.78083880 0.57200087 -0.202781546
## 13 -1.726868294 -0.4387962 -0.5601019 1.08445015 0.57200087 -0.048038516
## 14 1.408443159 -0.4387962 -0.5601019 0.34798022 0.57200087 -0.272292445
## 15 1.388771835 -0.4387962 -0.5601019 0.11695157 0.57200087 -0.550507696
## 16 -0.341403731 -0.4387962 0.9288249 0.08804102 0.07986409 0.496860815
## 17 -4.055662346 -0.4387962 -0.5601019 0.94207185 0.57200087 -0.570253874
## 18 1.501789513 -0.4387962 -0.5601019 1.00281363 0.34130351 -0.002138601
## 19 -3.878683548 -0.4387962 -0.5601019 -0.46162148 0.57200087 -0.784023545
## 20 -3.425862289 -0.4387962 0.8002802 -2.74748308 -6.88010483 -1.632649942
## 21 0.715381903 -0.4387962 0.3093879 -1.86444121 0.57200087 1.430096058
## 22 -3.464151205 -0.4387962 -0.5601019 1.33758250 0.57200087 -0.662989612
## 23 1.243128370 -0.4387962 -0.5601019 1.83009031 0.07986409 0.355527517
## 24 2.308085758 1.9127057 -0.5601019 4.60446686 0.57200087 1.393504608
## 25 0.990987214 -0.4387962 -0.5601019 0.86936642 0.57200087 -0.630411295
## 26 -0.653326940 -0.4387962 0.6499345 -3.19549391 -0.29969333 -1.503129369
## 27 0.912625480 -0.4387962 -0.5601019 -2.58670184 -0.65649207 -2.096988333
## 28 1.219082002 4.5704319 -0.5601019 3.21364786 0.57200087 -1.133252841
## 29 1.501789513 -0.4387962 -0.5601019 2.22140484 0.57200087 -0.954744586
## 30 1.137536130 -0.4387962 -0.5601019 2.95067509 0.57200087 -1.215998636
## 31 1.119992535 -0.4387962 -0.5601019 0.62609109 -0.14896648 -1.643854296
## 32 1.785859402 -0.4387962 -0.5601019 2.09661918 0.57200087 -0.030644355
## 33 2.705870380 -0.4387962 -0.5601019 3.82636256 0.57200087 1.378600528
## 34 1.676681739 -0.4387962 -0.5601019 4.14930502 0.57200087 0.234520974
## 35 -2.015558399 2.9114889 -0.5601019 -4.30316333 -6.95670700 -2.224874685
## 36 1.676681739 -0.4387962 -0.5601019 2.05796402 0.57200087 0.160600863
## 37 1.676681739 -0.4387962 -0.5601019 1.66068589 0.57200087 0.300587783
## 38 1.530022745 -0.4387962 -0.5601019 -2.85603445 0.57200087 0.406415034
## 39 -2.073310720 -0.4387962 -0.5601019 1.12846862 -0.14896648 -0.467835304
## 40 2.308085758 -0.4387962 0.4687608 1.79802802 0.57200087 2.965444982
## 41 2.308085758 -0.4387962 0.4687608 1.26650519 0.57200087 2.615947695
## 42 1.910301137 -0.4387962 -0.5601019 3.40583693 0.57200087 2.462579656
## 43 1.429384456 -0.4387962 -0.5601019 -1.51060537 0.57200087 -1.820295320
## 44 -1.835776668 -0.4387962 -0.5601019 -3.53081984 -0.91116451 0.168347394
## 45 -1.546604495 -0.4387962 -0.5601019 2.35905909 0.57200087 -0.518983806
## 46 1.226860439 -0.4387962 -0.5601019 -0.72447217 0.57200087 -1.655834683
## 47 1.530022745 -0.4387962 -0.5601019 1.69474591 0.57200087 -0.698270748
## 48 1.726700163 -0.4387962 -0.5601019 2.51523928 0.57200087 0.533855784
## 49 1.633353809 -0.4387962 -0.5601019 0.55050716 -0.14896648 -0.832484335
## 50 1.328259665 -0.4387962 0.1590422 -2.19878212 0.57200087 -0.578768280
## 51 -3.225344328 -0.4387962 3.7062692 -1.28135106 -3.29583579 -0.752147554
## 52 -2.670110182 -0.4387962 0.8409290 0.63796708 -0.04900661 0.437089212
## 53 -3.657890965 -0.4387962 5.1241212 1.43188458 0.57200087 2.635528482
## 54 -2.670928306 -0.4387962 5.1241212 1.61672022 0.57200087 2.246223654
## 55 -2.674290348 -0.4387962 -0.5601019 -2.68447598 -5.20654558 -0.826211728
## 56 1.951610813 -0.4387962 0.3093879 -2.42521759 0.57200087 0.993679556
## 57 -1.886505470 -0.4387962 -0.5601019 -0.79031494 -0.14896648 -0.996758791
## 58 1.718921726 -0.4387962 -0.5601019 0.54620286 0.07986409 1.641103295
## 59 0.008170238 -0.4387962 -0.5601019 -0.58246342 0.57200087 -0.410520776
## 60 1.196695369 -0.4387962 -0.5601019 -0.62006174 -0.34598833 -1.013802314
## 61 -2.003006058 -0.4387962 -0.5601019 -1.81813228 0.07986409 0.833637869
## 62 1.219082002 -0.4387962 -0.5601019 -0.39438984 0.57200087 1.125412484
## 63 -4.552095571 -0.4387962 -0.5601019 0.45551449 0.57200087 1.888412807
## 64 -3.183358390 -0.4387962 -0.5601019 0.49291880 0.57200087 2.382964575
## 65 1.362446780 -0.4387962 1.8336653 -0.30219808 0.57200087 -0.768940558
## 66 0.374357547 -0.4387962 -0.5601019 1.37787155 0.57200087 -0.863342778
## 67 -4.473283788 -0.4387962 -0.5601019 -5.24247476 -6.33422983 0.160516060
## 68 1.718921726 -0.4387962 -0.5601019 1.43780527 0.57200087 2.475128688
## 69 -3.811804747 -0.4387962 5.1241212 1.39994283 0.57200087 2.295286760
## 70 -1.846719707 -0.4387962 -0.5601019 -0.37070633 0.57200087 1.207222131
## 71 1.553170315 -0.4387962 -0.5601019 1.94785357 0.57200087 0.557300848
## 72 0.119088174 -0.4387962 -0.5601019 2.97326961 0.57200087 0.900474585
## 73 -3.380964807 -0.4387962 -0.5601019 0.80403387 0.57200087 1.819403489
## 74 2.308085758 -0.4387962 -0.5601019 2.67371549 0.57200087 3.374330597
## 75 -2.251507628 -0.4387962 0.2405089 0.37708916 0.07986409 0.836229478
## 76 1.677612051 -0.4387962 -0.5601019 1.34379126 0.57200087 3.519385078
## 77 -0.503975602 -0.4387962 -0.5601019 1.40459646 0.57200087 1.856918826
## 78 2.075396672 -0.4387962 -0.5601019 0.25858375 0.57200087 3.016519751
## 79 1.336038102 -0.4387962 -0.5601019 -1.35327397 0.57200087 -0.116353085
## 80 -1.271904528 4.4096637 -0.5601019 -0.68198081 0.57200087 1.452263056
## 81 -0.459208838 -0.4387962 2.2254156 -3.03734607 0.57200087 0.357374944
## 82 -2.020290017 -0.4387962 0.5113481 -1.43632640 0.57200087 0.774622496
## 83 1.370225217 -0.4387962 -0.5601019 0.46162179 0.57200087 0.276954067
## 84 -1.884862736 -0.4387962 -0.5601019 0.70738886 0.57200087 -0.405125494
## 85 -0.220108526 -0.4387962 -0.5601019 1.27189537 0.57200087 -1.489549468
## 86 -1.661115789 -0.4387962 7.2697575 -3.79877465 0.57200087 0.717333663
## 87 2.075396672 -0.4387962 -0.5601019 2.95908084 0.57200087 3.024833310
## 88 2.308085758 -0.4387962 -0.5601019 2.70858720 0.57200087 3.374330597
## 89 0.465044557 -0.4387962 -0.5601019 0.77261105 -0.04900661 0.219692497
## 90 -0.231461581 -0.4387962 -0.5601019 0.30978566 0.57200087 -1.275279670
## 91 1.137536130 -0.4387962 -0.5601019 -0.24740724 -0.47179007 -0.386481365
## 92 -3.891824185 -0.4387962 -0.5601019 -0.45939142 -3.86243994 -0.007698030
## 93 1.235569188 -0.4387962 -0.5601019 1.71700094 0.57200087 -0.302934580
## 94 -1.931828654 -0.4387962 -0.5601019 0.23261945 -0.04900661 0.643655967
## 95 0.596860414 -0.4387962 0.9596530 0.28267121 0.57200087 -0.102381971
## 96 1.119992535 -0.4387962 -0.5601019 1.79455597 0.57200087 -0.542402437
## 97 -2.418601191 -0.4387962 0.4216826 -4.13338142 0.57200087 -1.749754112
## 98 -1.302107431 -0.4387962 -0.2503834 -2.82555085 0.57200087 -0.495823700
## 99 0.689505167 -0.4387962 2.4354270 -3.33035558 0.57200087 -0.292109894
## 100 1.429384456 -0.4387962 3.8874429 -2.33346219 0.57200087 -0.635697293
## 101 1.408443159 -0.4387962 5.1241212 -1.69116441 0.57200087 -0.641607182
## 102 1.951610813 -0.4387962 4.0225109 -2.56305825 0.57200087 2.348411429
## 103 -2.458594396 -0.4387962 -0.2503834 -3.07807372 -0.34598833 -0.829024928
## 104 1.444922964 -0.4387962 -0.5601019 0.75166957 0.57200087 3.008206192
## 105 -6.174143170 -0.4387962 -0.5601019 -2.44160125 -1.57231484 0.382149091
## 106 -2.581475196 4.7166447 1.2222933 -4.39735415 -1.50326116 -2.422621956
## 107 -2.471184546 3.3146752 -0.5601019 -4.85347296 -1.16185123 -2.178810732
## 108 1.785859402 3.7030059 -0.5601019 3.57586892 0.57200087 0.380989049
## 109 1.475817457 -0.4387962 -0.5601019 -2.83736493 0.57200087 -0.824873061
## 110 1.132238124 -0.4387962 -0.5601019 1.49318817 0.57200087 -0.045037741
## 111 0.892903879 -0.4387962 -0.5601019 1.12882812 0.57200087 -0.768803093
## 112 -2.210952323 -0.4387962 0.6191064 -4.05342622 -0.95624311 -3.781955658
## 113 -2.546029401 -0.4387962 0.6191064 -4.07132624 -1.01606013 -4.012881339
## 114 0.971784720 -0.4387962 -0.5601019 0.78435699 -0.57699949 -1.566532491
## 115 -1.246793950 -0.4387962 -0.5601019 -4.92533546 0.57200087 -1.567585057
## 116 -2.328250475 -0.4387962 -0.5601019 -3.90693471 0.57200087 -1.292829114
## 117 -2.587629110 -0.4387962 4.7311717 -3.37428369 -0.03548459 0.406602285
## 118 1.785859402 -0.4387962 0.2405089 3.10770499 0.57200087 1.908139126
## 119 1.633353809 -0.4387962 0.9596530 1.36904945 0.57200087 1.254306198
## 120 1.785859402 -0.4387962 0.4687608 1.73431818 0.57200087 1.602514541
## 121 -1.096646672 -0.4387962 3.5506355 -1.80248155 -5.71190474 -2.422907948
## 122 -2.424414775 -0.4387962 -0.5601019 -3.30430339 -0.59020771 -1.766714063
## 123 0.803072875 -0.4387962 2.3475311 -2.68045754 0.57200087 1.066385012
## 124 -1.699394093 -0.4387962 -0.5601019 0.47152934 0.57200087 -0.932107901
## 125 0.138109907 -0.4387962 -0.5601019 0.91900572 0.57200087 -1.524588693
## 126 1.238660921 -0.4387962 -0.5601019 2.60779430 0.57200087 -1.401888478
## 127 -0.536176002 -0.4387962 -0.5601019 1.70604138 0.57200087 1.040761322
## 128 0.270582642 -0.4387962 -0.5601019 -1.20904055 0.57200087 -1.753155863
## 129 0.042441700 -0.4387962 -0.5601019 -0.63921526 0.57200087 0.408174932
## 130 1.137536130 -0.4387962 -0.5601019 0.44322597 0.34130351 -0.542773165
## 131 1.243128370 -0.4387962 -0.5601019 0.75831046 -0.04900661 -0.597078468
## 132 1.501789513 -0.4387962 -0.2503834 1.44686100 0.57200087 -1.289857500
## 133 1.676681739 -0.4387962 3.2020378 2.32074090 0.57200087 0.752349358
## 134 1.530022745 -0.4387962 -0.5601019 1.50490877 0.57200087 1.083760810
## 135 1.057999413 -0.4387962 -0.5601019 1.34000831 -0.29969333 -1.409442699
## 136 -0.740885668 -0.4387962 -0.5601019 -1.85735481 0.57200087 -2.171043372
## 137 -1.119917379 4.3134584 -0.5601019 -0.19402532 -0.29969333 0.375939550
## 138 1.156082748 -0.4387962 -0.5601019 0.01867922 0.57200087 -0.788107412
## 139 1.269100426 -0.4387962 0.9596530 -1.17787973 -1.04336668 -2.366522218
## 140 -0.187527219 -0.4387962 4.9110176 -1.50793681 -0.64110326 0.065233464
## 141 -3.798810648 -0.4387962 2.4403063 1.18065085 -1.43884359 -1.984136062
## 142 -1.840591452 -0.4387962 -0.5601019 1.08545586 -0.45947022 -1.763145461
## 143 1.183532510 -0.4387962 -0.5601019 -1.61566477 0.57200087 -1.524905237
## 144 1.352681621 -0.4387962 -0.5601019 0.55029558 -0.29969333 -0.512733997
## 145 1.078032836 -0.4387962 -0.5601019 -0.68657829 0.57200087 0.459726954
## 146 1.718921726 -0.4387962 -0.5601019 3.35159029 0.57200087 0.339263378
## 147 -6.410482284 2.3023080 -0.5601019 -2.39223522 -5.98516353 -2.376009619
## 148 -0.685891641 -0.4387962 0.1590422 -2.57576767 0.57200087 0.069146398
## 149 -2.616825926 -0.4387962 -0.5601019 0.61548970 -0.23063965 -1.372345769
## 150 -3.039249776 -0.4387962 0.3093879 0.62855927 -0.50216558 -0.201741635
## 151 1.114731895 -0.4387962 -0.5601019 0.35041974 0.57200087 3.008206192
## 152 -6.113760188 5.3498399 -0.5601019 -5.67974680 -15.17558539 -1.453478387
## 153 0.972440596 -0.4387962 -0.5601019 2.06535424 0.57200087 -0.687921544
## 154 -2.452408550 -0.4387962 -0.5601019 0.76699265 0.57200087 -1.599315207
## 155 -0.783826463 5.0515828 -0.5601019 -2.38017263 0.57200087 1.626225306
## 156 1.858264459 -0.4387962 0.3093879 -2.45792215 0.57200087 -0.258454060
## 157 1.595135867 -0.4387962 -0.5601019 2.76860140 0.57200087 -1.669360282
## 158 -1.263948598 -0.4387962 -0.5601019 -1.06775917 -0.60066077 0.533014311
## 159 1.785859402 -0.4387962 -0.5601019 2.66362169 0.57200087 0.125165423
## 160 1.858264459 -0.4387962 -0.5601019 2.86275918 0.57200087 0.403773663
## 161 -2.043612736 -0.4387962 -0.5601019 -2.66689425 -0.29969333 -1.371220654
## 162 1.595135867 -0.4387962 -0.5601019 2.83593516 0.57200087 -0.676700817
## 163 -2.400361420 -0.4387962 -0.5601019 0.11624696 -3.56490125 0.701554554
## 164 1.676681739 -0.4387962 -0.5601019 -1.44872255 0.57200087 1.087494476
## 165 -2.466400916 5.0328683 -0.5601019 -2.54944858 -0.16435529 0.079115187
## 166 -2.721538568 -0.4387962 -0.5601019 -3.10014735 0.14614845 0.742338802
## 167 1.328259665 -0.4387962 -0.5601019 1.62540755 0.57200087 -0.864794482
## 168 0.899549037 -0.4387962 -0.5601019 1.10527739 0.57200087 -0.312750952
## 169 0.764713225 -0.4387962 0.6191064 -2.36174962 0.07986409 -0.566352048
## 170 0.203815711 -0.4387962 0.6191064 -3.11459590 -0.04900661 -0.705772749
## 171 1.633353809 -0.4387962 -0.5601019 1.91225440 0.57200087 -1.149786560
## 172 1.429384456 -0.4387962 -0.5601019 2.74609190 0.57200087 -0.440372601
## 173 0.501584632 -0.4387962 -0.5601019 2.08339337 0.57200087 -1.064704241
## 174 -4.620825354 6.7751893 0.6367817 -1.91089962 0.57200087 0.985917432
## 175 -4.583956696 7.1944462 1.2562187 -1.98302408 0.57200087 0.728349955
## 176 -2.217758445 -0.4387962 -0.5601019 -2.91586402 -0.04900661 -0.396246859
## 177 -4.701214235 6.3814211 0.6367817 -2.23843428 0.57200087 0.302946551
## 178 2.308085758 -0.4387962 -0.5601019 3.15534329 0.57200087 1.585276364
## 179 2.308085758 -0.4387962 0.9596530 1.85633259 0.57200087 2.615947695
## 180 2.308085758 -0.4387962 -0.5601019 2.06100080 0.57200087 2.644767996
## 181 2.308085758 -0.4387962 -0.5601019 2.74609190 0.57200087 2.812076943
## 182 0.964662159 -0.4387962 -0.5601019 1.27290889 0.57200087 -0.986995783
## 183 1.119992535 -0.4387962 -0.5601019 3.15534329 -0.14896648 -1.255440383
## 184 1.429384456 -0.4387962 -0.5601019 2.54142370 0.57200087 -0.959246193
## 185 -1.383556203 3.0722571 -0.5601019 2.95908084 -0.14896648 1.068655667
## 186 -1.940609875 4.4318338 -0.5601019 -4.19646017 -0.45947022 -1.933747938
## 187 0.930475044 -0.4387962 2.3475311 -2.32287019 0.57200087 0.100261963
## 188 1.676681739 -0.4387962 -0.5601019 2.79709392 0.57200087 -0.438473378
## 189 1.858264459 -0.4387962 -0.5601019 1.64444685 0.57200087 1.294113738
## 190 0.566221661 -0.4387962 2.4273758 -2.51150201 0.57200087 -0.206630880
## 191 2.308085758 -0.4387962 -0.5601019 0.31575024 0.57200087 1.035693761
## 192 1.633353809 -0.4387962 -0.5601019 -0.55362636 0.57200087 0.108813535
## 193 -0.593179962 -0.4387962 -0.5601019 0.12255926 0.57200087 -1.484928347
## 194 0.206574878 -0.4387962 -0.5601019 2.17084293 0.57200087 -0.764773500
## 195 1.633353809 -0.4387962 -0.5601019 3.37120072 0.57200087 -1.697043778
## 196 1.951610813 -0.4387962 -0.5601019 -0.87919747 0.57200087 1.853859661
## 197 1.951610813 -0.4387962 -0.5601019 -0.97959336 0.57200087 1.596292185
## 198 1.328259665 -0.4387962 -0.5601019 -1.59200406 0.57200087 0.374923212
## 199 1.785859402 -0.4387962 -0.5601019 0.18304258 0.57200087 0.534377901
## 200 -1.707196878 -0.4387962 -0.5601019 -2.60945396 0.57200087 1.189061800
## 201 1.408443159 -0.4387962 -0.5601019 1.53703069 0.57200087 -0.975403109
## 202 1.633353809 3.8140668 -0.5601019 3.35819863 0.57200087 1.420771545
## 203 1.035106086 -0.4387962 -0.5601019 0.05042474 0.57200087 0.771167190
## 204 1.297333659 -0.4387962 -0.5601019 0.62189964 0.45665219 -0.126512938
## 205 1.625575372 -0.4387962 -0.5601019 3.31792102 0.57200087 1.538915520
## 206 -0.630313930 -0.4387962 -0.5601019 1.39081022 0.57200087 1.083458068
## 207 1.494011076 -0.4387962 -0.5601019 -3.07086217 0.57200087 0.410051360
## 208 0.857872867 -0.4387962 -0.5601019 -3.27140987 -0.70062065 -0.366041822
## 209 1.553170315 -0.4387962 -0.5601019 -3.29939229 -0.14896648 0.207803561
## 210 1.370225217 4.5521912 -0.5601019 2.59972826 0.57200087 -1.614624128Matrice sličnosti varijabli unutar klastera
options(width = 80)
KMvar$sim## $cluster1
## broj_forum_diskusija
## broj_forum_diskusija 1.0000000
## broj_forum_diskusija_bez_vijesti 0.5221700
## broj_forum_postova_bez_vijesti 0.5046018
## forum 0.1763942
## br_for_post_bez_vij_kroz_br_for_disk_bez_vij 0.2600133
## br_for_disk_bez_vijesti_kroz_br_stud 0.2403181
## broj_forum_diskusija_bez_vijesti
## broj_forum_diskusija 0.5221700
## broj_forum_diskusija_bez_vijesti 1.0000000
## broj_forum_postova_bez_vijesti 0.9150902
## forum 0.3636337
## br_for_post_bez_vij_kroz_br_for_disk_bez_vij 0.4301736
## br_for_disk_bez_vijesti_kroz_br_stud 0.5182548
## broj_forum_postova_bez_vijesti
## broj_forum_diskusija 0.5046018
## broj_forum_diskusija_bez_vijesti 0.9150902
## broj_forum_postova_bez_vijesti 1.0000000
## forum 0.3679338
## br_for_post_bez_vij_kroz_br_for_disk_bez_vij 0.7060845
## br_for_disk_bez_vijesti_kroz_br_stud 0.4689138
## forum
## broj_forum_diskusija 0.1763942
## broj_forum_diskusija_bez_vijesti 0.3636337
## broj_forum_postova_bez_vijesti 0.3679338
## forum 1.0000000
## br_for_post_bez_vij_kroz_br_for_disk_bez_vij 0.2337657
## br_for_disk_bez_vijesti_kroz_br_stud 0.2015911
## br_for_post_bez_vij_kroz_br_for_disk_bez_vij
## broj_forum_diskusija 0.2600133
## broj_forum_diskusija_bez_vijesti 0.4301736
## broj_forum_postova_bez_vijesti 0.7060845
## forum 0.2337657
## br_for_post_bez_vij_kroz_br_for_disk_bez_vij 1.0000000
## br_for_disk_bez_vijesti_kroz_br_stud 0.1804472
## br_for_disk_bez_vijesti_kroz_br_stud
## broj_forum_diskusija 0.2403181
## broj_forum_diskusija_bez_vijesti 0.5182548
## broj_forum_postova_bez_vijesti 0.4689138
## forum 0.2015911
## br_for_post_bez_vij_kroz_br_for_disk_bez_vij 0.1804472
## br_for_disk_bez_vijesti_kroz_br_stud 1.0000000
##
## $cluster2
## broj_pracenih_aktivnosti_na_predmetu
## broj_pracenih_aktivnosti_na_predmetu 1.00000000
## chat 0.09086755
## ukljuceno_pracenje_na_kolegiju 0.85667135
## chat ukljuceno_pracenje_na_kolegiju
## broj_pracenih_aktivnosti_na_predmetu 0.09086755 0.8566713
## chat 1.00000000 0.1093371
## ukljuceno_pracenje_na_kolegiju 0.10933708 1.0000000
##
## $cluster3
## broj_pojmova_u_rjecniku
## broj_pojmova_u_rjecniku 1.00000000
## broj_rjecnika_u_kojima_sudjeluju_studenti 0.46944030
## data 0.07645116
## broj_rjecnika_u_kojima_sudjeluju_studenti
## broj_pojmova_u_rjecniku 0.46944030
## broj_rjecnika_u_kojima_sudjeluju_studenti 1.00000000
## data 0.00846218
## data
## broj_pojmova_u_rjecniku 0.07645116
## broj_rjecnika_u_kojima_sudjeluju_studenti 0.00846218
## data 1.00000000
##
## $cluster4
## broj_pitanja_na_predmetu
## broj_pitanja_na_predmetu 1.0000000
## broj_testova_na_predmetu 0.7641184
## broj_grade_itema 0.3895632
## broj_aktivnosti_na_predmetu 0.3901420
## broj_stvarno_ocjenjenih_stavaka 0.2669706
## quiz 0.7491235
## page 0.2622591
## assign 0.1101341
## broj_testova_na_predmetu broj_grade_itema
## broj_pitanja_na_predmetu 0.76411835 0.3895632
## broj_testova_na_predmetu 1.00000000 0.4115074
## broj_grade_itema 0.41150737 1.0000000
## broj_aktivnosti_na_predmetu 0.30957640 0.5522471
## broj_stvarno_ocjenjenih_stavaka 0.25137240 0.5160956
## quiz 0.97865717 0.4267727
## page 0.25204333 0.1444383
## assign 0.08494653 0.6710231
## broj_aktivnosti_na_predmetu
## broj_pitanja_na_predmetu 0.3901420
## broj_testova_na_predmetu 0.3095764
## broj_grade_itema 0.5522471
## broj_aktivnosti_na_predmetu 1.0000000
## broj_stvarno_ocjenjenih_stavaka 0.3006252
## quiz 0.3048576
## page 0.2839175
## assign 0.3213800
## broj_stvarno_ocjenjenih_stavaka quiz
## broj_pitanja_na_predmetu 0.26697056 0.74912355
## broj_testova_na_predmetu 0.25137240 0.97865717
## broj_grade_itema 0.51609564 0.42677275
## broj_aktivnosti_na_predmetu 0.30062518 0.30485758
## broj_stvarno_ocjenjenih_stavaka 1.00000000 0.26034183
## quiz 0.26034183 1.00000000
## page 0.03346099 0.24950822
## assign 0.27644337 0.08578442
## page assign
## broj_pitanja_na_predmetu 0.26225914 0.11013406
## broj_testova_na_predmetu 0.25204333 0.08494653
## broj_grade_itema 0.14443835 0.67102307
## broj_aktivnosti_na_predmetu 0.28391754 0.32137995
## broj_stvarno_ocjenjenih_stavaka 0.03346099 0.27644337
## quiz 0.24950822 0.08578442
## page 1.00000000 0.06373589
## assign 0.06373589 1.00000000
##
## $cluster5
## broj_punih_grupa journal workshop feedback choicegroup
## broj_punih_grupa 1.0000000 0.115873738 0.3005885 0.162268675 0.263277644
## journal 0.1158737 1.000000000 0.3863899 0.002251528 0.001187629
## workshop 0.3005885 0.386389850 1.0000000 0.214872855 0.247431654
## feedback 0.1622687 0.002251528 0.2148729 1.000000000 0.550014219
## choicegroup 0.2632776 0.001187629 0.2474317 0.550014219 1.000000000
##
## $cluster6
## broj_studenata broj_nastavnika
## broj_studenata 1.0000000 0.1911859
## broj_nastavnika 0.1911859 1.0000000
## broj_forum_diskusija_samo_vijesti 0.2741879 0.1561133
## broj_forum_diskusija_samo_vijesti
## broj_studenata 0.2741879
## broj_nastavnika 0.1561133
## broj_forum_diskusija_samo_vijesti 1.0000000Osnovne informacije o klasterima
summary(KMvar)##
## Call:
## kmeansvar(X.quanti = podaci.standard[, 4:31], init = 6, nstart = 200, matsim = T)
##
## number of iterations: 7
##
## Data:
## number of observations: 210
## number of variables: 28
## number of clusters: 6
##
## Cluster 1 :
## squared loading
## broj_forum_diskusija 0.60
## broj_forum_diskusija_bez_vijesti 0.90
## broj_forum_postova_bez_vijesti 0.95
## forum 0.49
## br_for_post_bez_vij_kroz_br_for_disk_bez_vij 0.63
## br_for_disk_bez_vijesti_kroz_br_stud 0.57
##
##
## Cluster 2 :
## squared loading
## broj_pracenih_aktivnosti_na_predmetu 0.90
## chat 0.30
## ukljuceno_pracenje_na_kolegiju 0.91
##
##
## Cluster 3 :
## squared loading
## broj_pojmova_u_rjecniku 0.84
## broj_rjecnika_u_kojima_sudjeluju_studenti 0.75
## data 0.19
##
##
## Cluster 4 :
## squared loading
## broj_pitanja_na_predmetu 0.75
## broj_testova_na_predmetu 0.76
## broj_grade_itema 0.78
## broj_aktivnosti_na_predmetu 0.66
## broj_stvarno_ocjenjenih_stavaka 0.51
## quiz 0.77
## page 0.36
## assign 0.40
##
##
## Cluster 5 :
## squared loading
## broj_punih_grupa 0.59
## journal 0.24
## workshop 0.71
## feedback 0.57
## choicegroup 0.64
##
##
## Cluster 6 :
## squared loading
## broj_studenata 0.69
## broj_nastavnika 0.57
## broj_forum_diskusija_samo_vijesti 0.65
##
##
## Gain in cohesion (in %): 47.35- Početna inicijalizacija u klastere je zadana preko vektora.
- Komponente vektora su prirodni brojevi koji označavaju kojem klasteru pojedina varijabla pripada.
- Možemo uzeti za inicijalizaciju particiju dobivenu preko hijerarhijskog klasteriranja
KMvar2 <- kmeansvar(X.quanti=podaci.standard[,4:31],init=klaster6$cluster,nstart=1,matsim=T)Veličine klastera
KMvar2$size## [1] 4 5 8 4 2 5Izgled pojedinih klastera
KMvar2$var## $cluster1
## squared loading
## broj_studenata 0.5814923
## broj_nastavnika 0.4387400
## broj_forum_diskusija 0.6907241
## broj_forum_diskusija_samo_vijesti 0.7553216
##
## $cluster2
## squared loading
## broj_forum_diskusija_bez_vijesti 0.8843514
## broj_forum_postova_bez_vijesti 0.9513263
## forum 0.5268741
## br_for_post_bez_vij_kroz_br_for_disk_bez_vij 0.6553161
## br_for_disk_bez_vijesti_kroz_br_stud 0.5946767
##
## $cluster3
## squared loading
## broj_pitanja_na_predmetu 0.7541720
## broj_testova_na_predmetu 0.7634358
## broj_grade_itema 0.7844071
## broj_aktivnosti_na_predmetu 0.6582544
## broj_stvarno_ocjenjenih_stavaka 0.5119125
## quiz 0.7652761
## page 0.3556373
## assign 0.3962607
##
## $cluster4
## squared loading
## broj_pracenih_aktivnosti_na_predmetu 0.8320785
## chat 0.3628753
## data 0.1343413
## ukljuceno_pracenje_na_kolegiju 0.8511091
##
## $cluster5
## squared loading
## broj_pojmova_u_rjecniku 0.8425786
## broj_rjecnika_u_kojima_sudjeluju_studenti 0.8425786
##
## $cluster6
## squared loading
## broj_punih_grupa 0.5913329
## journal 0.2371600
## workshop 0.7110752
## feedback 0.5686789
## choicegroup 0.6354951Homogenost klastera
KMvar2$wss## [1] 2.466278 3.612545 4.989356 2.180404 1.685157 2.743742Postotak homogenosti particije
KMvar2$E## [1] 47.39254Sintetičke varijable
options(width = 120)
KMvar2$scores## cluster1 cluster2 cluster3 cluster4 cluster5 cluster6
## 1 -0.161321002 -2.04750205 -3.60080724 -0.4757366 -0.5151993 -3.37578507
## 2 0.128049928 1.59124255 2.15166949 -0.4757366 -0.1974676 0.57200087
## 3 0.637744775 1.15090732 0.55330467 -0.4757366 -0.5151993 0.45665219
## 4 -1.094851833 1.59124255 -0.07780664 -0.4757366 -0.5151993 -0.04900661
## 5 0.838140366 1.59124255 2.50510568 -0.4757366 -0.5151993 0.57200087
## 6 -1.595384460 -2.58049847 0.84821558 -0.4757366 -0.5151993 0.57200087
## 7 0.501045640 1.15090732 1.68653609 -0.4757366 -0.5151993 0.57200087
## 8 -1.172885606 1.59124255 0.29806210 -0.4757366 -0.5151993 0.57200087
## 9 0.012458936 1.15090732 0.67773457 -0.4757366 -0.5151993 0.45665219
## 10 0.302026568 1.33366295 -2.26976374 -0.4757366 -0.5151993 0.57200087
## 11 -0.763017292 1.59124255 -0.59384558 -0.4757366 -0.5151993 0.57200087
## 12 -0.338800037 1.59124255 2.78083880 -0.4757366 -0.5151993 0.57200087
## 13 -0.315510257 -1.65732073 1.08445015 -0.4757366 -0.5151993 0.57200087
## 14 -0.350790333 1.59124255 0.34798022 -0.4757366 -0.5151993 0.57200087
## 15 -0.607598403 1.59124255 0.11695157 -0.4757366 -0.5151993 0.57200087
## 16 0.334757981 -0.35559337 0.08804102 -0.4757366 1.0122496 0.07986409
## 17 -1.403295436 -3.72496287 0.94207185 -0.4757366 -0.5151993 0.57200087
## 18 0.007078749 1.59124255 1.00281363 -0.4757366 -0.5151993 0.34130351
## 19 -1.704752341 -3.42306251 -0.46162148 -0.4757366 -0.5151993 0.57200087
## 20 -1.691742391 -3.38898584 -2.74748308 -0.4757366 0.8803791 -6.88010483
## 21 1.851610660 0.36179641 -1.86444121 -0.4757366 0.3767863 0.57200087
## 22 -1.617198605 -2.99816010 1.33758250 -0.4757366 -0.5151993 0.57200087
## 23 0.253887061 1.33366295 1.83009031 -0.4757366 -0.5151993 0.07986409
## 24 2.445739142 1.59124255 4.60446686 1.7560699 -0.5151993 0.57200087
## 25 -0.672169008 1.15090732 0.86936642 -0.4757366 -0.5151993 0.57200087
## 26 -1.543822897 -0.50770733 -3.19549391 -0.4757366 0.7261436 -0.29969333
## 27 -2.228716020 1.33366295 -2.58670184 -0.4757366 -0.5151993 -0.65649207
## 28 -0.963896373 1.33366295 3.21364786 4.2707375 -0.5151993 0.57200087
## 29 -0.738325507 1.59124255 2.22140484 -0.4757366 -0.5151993 0.57200087
## 30 -1.163336587 1.33366295 2.95067509 -0.4757366 -0.5151993 0.57200087
## 31 -1.525409535 1.33366295 0.62609109 -0.4757366 -0.5151993 -0.14896648
## 32 0.458069673 1.59124255 2.09661918 -0.4757366 -0.5151993 0.57200087
## 33 2.433695061 2.03157779 3.82636256 -0.4757366 -0.5151993 0.57200087
## 34 0.482655053 1.59124255 4.14930502 -0.4757366 -0.5151993 0.57200087
## 35 -2.203075337 -1.92121058 -4.30316333 2.7010912 -0.5151993 -6.95670700
## 36 0.422919742 1.59124255 2.05796402 -0.4757366 -0.5151993 0.57200087
## 37 0.536044060 1.59124255 1.66068589 -0.4757366 -0.5151993 0.57200087
## 38 0.383133574 1.59124255 -2.85603445 -0.4757366 -0.5151993 0.57200087
## 39 -1.067991269 -1.77539945 1.12846862 -0.4757366 -0.5151993 -0.14896648
## 40 3.703832786 1.59124255 1.79802802 -0.4757366 0.5402825 0.57200087
## 41 3.421401812 1.59124255 1.26650519 -0.4757366 0.5402825 0.57200087
## 42 3.309665467 1.15090732 3.40583693 -0.4757366 -0.5151993 0.57200087
## 43 -1.531092038 1.59124255 -1.51060537 -0.4757366 -0.5151993 0.57200087
## 44 -0.026772949 -1.81473075 -3.53081984 -0.4757366 -0.5151993 -0.91116451
## 45 -0.967090667 -1.27135844 2.35905909 -0.4757366 -0.5151993 0.57200087
## 46 -1.739644147 1.59124255 -0.72447217 -0.4757366 -0.5151993 0.57200087
## 47 -0.485167330 1.59124255 1.69474591 -0.4757366 -0.5151993 0.57200087
## 48 0.793665284 1.59124255 2.51523928 -0.4757366 -0.5151993 0.57200087
## 49 -0.413434857 1.59124255 0.55050716 -0.4757366 -0.5151993 -0.14896648
## 50 -0.338318820 1.33366295 -2.19878212 -0.4757366 0.2225508 0.57200087
## 51 -1.469051800 -2.89438993 -1.28135106 -0.4757366 4.0355150 -3.29583579
## 52 -0.402375875 -2.35081634 0.63796708 -0.4757366 0.9220796 -0.04900661
## 53 1.935244364 -3.74725891 1.43188458 -0.4757366 5.4900503 0.57200087
## 54 1.690316398 -2.77475684 1.61672022 -0.4757366 5.4900503 0.57200087
## 55 -1.004646196 -2.66267509 -2.68447598 -0.4757366 -0.5151993 -5.20654558
## 56 1.543100544 1.59124255 -2.42521759 -0.4757366 0.3767863 0.57200087
## 57 -1.433369116 -1.63405395 -0.79031494 -0.4757366 -0.5151993 -0.14896648
## 58 2.066287772 1.33366295 0.54620286 -0.4757366 -0.5151993 0.07986409
## 59 -0.544514854 0.13175247 -0.58246342 -0.4757366 -0.5151993 0.57200087
## 60 -0.891561266 1.33366295 -0.62006174 -0.4757366 -0.5151993 -0.34598833
## 61 0.276986230 -1.87657027 -1.81813228 -0.4757366 -0.5151993 0.07986409
## 62 0.836942716 1.33366295 -0.39438984 -0.4757366 -0.5151993 0.57200087
## 63 1.178835371 -4.63018023 0.45551449 -0.4757366 -0.5151993 0.57200087
## 64 1.983752538 -3.47296457 0.49291880 -0.4757366 -0.5151993 0.57200087
## 65 -0.424217366 1.33366295 -0.30219808 1.3626104 -0.5151993 0.57200087
## 66 -0.906874569 0.50826815 1.37787155 -0.4757366 -0.5151993 0.57200087
## 67 -0.673269176 -4.26650766 -5.24247476 -0.4757366 -0.5151993 -6.33422983
## 68 2.728067641 1.33366295 1.43780527 -0.4757366 -0.5151993 0.57200087
## 69 1.532043597 -3.83636959 1.39994283 -0.4757366 5.4900503 0.57200087
## 70 1.132285442 -1.99103213 -0.37070633 -0.4757366 -0.5151993 0.57200087
## 71 0.933191920 1.33366295 1.94785357 -0.4757366 -0.5151993 0.57200087
## 72 0.797961189 0.05922973 2.97326961 -0.4757366 -0.5151993 0.57200087
## 73 1.096468943 -3.37925935 0.80403387 -0.4757366 -0.5151993 0.57200087
## 74 4.034255844 1.59124255 2.67371549 -0.4757366 -0.5151993 0.57200087
## 75 0.508782520 -2.29168767 0.37708916 -0.4757366 0.3061252 0.07986409
## 76 4.151475289 0.89332772 1.34379126 -0.4757366 -0.5151993 0.57200087
## 77 1.567810177 -0.61616350 1.40459646 -0.4757366 -0.5151993 0.57200087
## 78 3.757307970 1.33366295 0.25858375 -0.4757366 -0.5151993 0.57200087
## 79 -0.354688263 1.59124255 -1.35327397 -0.4757366 -0.5151993 0.57200087
## 80 1.274861774 -1.32891581 -0.68198081 4.1186231 -0.5151993 0.57200087
## 81 0.411100953 -0.61617847 -3.03734607 0.4434369 1.1145364 0.57200087
## 82 0.593324852 -2.20514776 -1.43632640 -0.4757366 0.5839717 0.57200087
## 83 0.030926618 1.59124255 0.46162179 -0.4757366 -0.5151993 0.57200087
## 84 -0.984589158 -1.60270503 0.70738886 -0.4757366 -0.5151993 0.57200087
## 85 -1.454470857 -0.05816581 1.27189537 -0.4757366 -0.5151993 0.57200087
## 86 0.505790748 -1.73854095 -3.79877465 1.3626104 5.2354996 0.57200087
## 87 3.751824870 1.33366295 2.95908084 -0.4757366 -0.5151993 0.57200087
## 88 4.034255844 1.59124255 2.70858720 -0.4757366 -0.5151993 0.57200087
## 89 -0.051873175 0.62764950 0.77261105 -0.4757366 -0.5151993 -0.04900661
## 90 -1.119697523 -0.19926887 0.30978566 -0.4757366 -0.5151993 0.57200087
## 91 -0.492998420 1.33366295 -0.24740724 -0.4757366 -0.5151993 -0.47179007
## 92 -0.940007444 -3.57558277 -0.45939142 -0.4757366 -0.5151993 -3.86243994
## 93 0.002296317 1.15090732 1.71700094 -0.4757366 -0.5151993 0.57200087
## 94 0.337715495 -2.01866014 0.23261945 -0.4757366 -0.5151993 -0.04900661
## 95 -0.097738684 0.63712660 0.28267121 -0.4757366 1.0438753 0.57200087
## 96 -0.671923325 1.33366295 1.79455597 -0.4757366 -0.5151993 0.57200087
## 97 -2.163279017 -2.10051742 -4.13338142 -0.4757366 0.4919863 0.57200087
## 98 -0.775884670 -1.19488286 -2.82555085 -0.4757366 -0.1974676 0.57200087
## 99 -0.379006280 0.79540050 -3.33035558 0.4434369 1.3299813 0.57200087
## 100 -0.622616223 1.59124255 -2.33346219 -0.4757366 4.2213761 0.57200087
## 101 -0.661437254 1.59124255 -1.69116441 -0.4757366 5.4900503 0.57200087
## 102 2.625666620 1.59124255 -2.56305825 -0.4757366 4.3599386 0.57200087
## 103 -1.407493497 -2.11495415 -3.07807372 -0.4757366 -0.1974676 -0.34598833
## 104 3.762791071 0.63574812 0.75166957 -0.4757366 -0.5151993 0.57200087
## 105 -1.339537872 -5.36265685 -2.44160125 -0.4757366 -0.5151993 -1.57231484
## 106 -2.742911921 -2.25527229 -4.39735415 4.4090800 1.3133108 -1.50326116
## 107 -2.534408812 -2.12506055 -4.85347296 3.0825750 -0.5151993 -1.16185123
## 108 0.790713236 1.59124255 3.57586892 3.4500028 -0.5151993 0.57200087
## 109 -0.687800791 1.59124255 -2.83736493 -0.4757366 -0.5151993 0.57200087
## 110 0.030513064 1.15090732 1.49318817 -0.4757366 -0.5151993 0.57200087
## 111 -0.943462811 1.15090732 1.12882812 -0.4757366 -0.5151993 0.57200087
## 112 -3.723731342 -1.90060755 -4.05342622 -0.4757366 0.6945180 -0.95624311
## 113 -4.244034672 -2.00750119 -4.07132624 -0.4757366 0.6945180 -1.01606013
## 114 -1.716074781 1.33366295 0.78435699 -0.4757366 -0.5151993 -0.57699949
## 115 -1.823857186 -0.96250360 -4.92533546 -0.4757366 -0.5151993 0.57200087
## 116 -1.684931174 -2.01948689 -3.90693471 -0.4757366 -0.5151993 0.57200087
## 117 -0.004486887 -2.56863900 -3.37428369 -0.4757366 5.0869342 -0.03548459
## 118 2.012611557 1.59124255 3.10770499 -0.4757366 0.3061252 0.57200087
## 119 1.236309783 1.59124255 1.36904945 -0.4757366 1.0438753 0.57200087
## 120 1.765634392 1.59124255 1.73431818 -0.4757366 0.5402825 0.57200087
## 121 -2.087892835 -1.08023070 -1.80248155 -0.4757366 3.8758547 -5.71190474
## 122 -2.016986340 -2.24543711 -3.30430339 -0.4757366 -0.5151993 -0.59020771
## 123 1.236206870 0.56881580 -2.68045754 0.4434369 1.2398113 0.57200087
## 124 -1.075553108 -1.64745081 0.47152934 -0.4757366 -0.5151993 0.57200087
## 125 -1.561164313 0.35524751 0.91900572 -0.4757366 -0.5151993 0.57200087
## 126 -1.539646713 1.59124255 2.60779430 -0.4757366 -0.5151993 0.57200087
## 127 1.094065647 -0.63611820 1.70604138 -0.4757366 -0.5151993 0.57200087
## 128 -1.518073645 0.35623937 -1.20904055 -0.4757366 -0.5151993 0.57200087
## 129 0.204108795 0.10464895 -0.63921526 -0.4757366 -0.5151993 0.57200087
## 130 -0.643701495 1.33366295 0.44322597 -0.4757366 -0.5151993 0.34130351
## 131 -0.491517195 1.33366295 0.75831046 -0.4757366 -0.5151993 -0.04900661
## 132 -1.009132378 1.59124255 1.44686100 -0.4757366 -0.1974676 0.57200087
## 133 0.888914112 1.59124255 2.32074090 -0.4757366 3.5182379 0.57200087
## 134 0.918299650 1.59124255 1.50490877 -0.4757366 -0.5151993 0.57200087
## 135 -1.448966398 1.33366295 1.34000831 -0.4757366 -0.5151993 -0.29969333
## 136 -1.975628174 -0.63732905 -1.85735481 -0.4757366 -0.5151993 0.57200087
## 137 0.227655651 -1.09346333 -0.19402532 4.0275962 -0.5151993 -0.29969333
## 138 -0.787402900 1.33366295 0.01867922 -0.4757366 -0.5151993 0.57200087
## 139 -1.842587942 1.33366295 -1.17787973 -0.4757366 1.0438753 -1.04336668
## 140 0.168618319 -0.26159014 -1.50793681 -0.4757366 5.2714331 -0.64110326
## 141 -2.727745241 -3.28036663 1.18065085 -0.4757366 2.7367986 -1.43884359
## 142 -2.280624040 -1.41206132 1.08545586 -0.4757366 -0.5151993 -0.45947022
## 143 -1.728682087 1.59124255 -1.61566477 -0.4757366 -0.5151993 0.57200087
## 144 -0.647948071 1.59124255 0.55029558 -0.4757366 -0.5151993 -0.29969333
## 145 0.350292627 1.15090732 -0.68657829 -0.4757366 -0.5151993 0.57200087
## 146 1.014262680 1.33366295 3.35159029 -0.4757366 -0.5151993 0.57200087
## 147 -3.680642943 -5.55846870 -2.39223522 2.5087242 -0.5151993 -5.98516353
## 148 -0.093332759 -0.63063839 -2.57576767 -0.4757366 0.2225508 0.57200087
## 149 -1.879657634 -2.26743544 0.61548970 -0.4757366 -0.5151993 -0.23063965
## 150 -1.117553218 -2.59146324 0.62855927 -0.4757366 0.3767863 -0.50216558
## 151 3.762791071 0.27023685 0.35041974 -0.4757366 -0.5151993 0.57200087
## 152 -2.526591075 -5.63585610 -5.67974680 5.0081919 -0.5151993 -15.17558539
## 153 -0.736594140 1.15090732 2.06535424 -0.4757366 -0.5151993 0.57200087
## 154 -1.941919589 -2.20228475 0.76699265 -0.4757366 -0.5151993 0.57200087
## 155 1.839885241 -1.14076365 -2.38017263 4.7259893 -0.5151993 0.57200087
## 156 0.391687381 1.59124255 -2.45792215 -0.4757366 0.3767863 0.57200087
## 157 -1.139650913 1.59124255 2.76860140 -0.4757366 -0.5151993 0.57200087
## 158 0.414783290 -1.20909957 -1.06775917 -0.4757366 -0.5151993 -0.60066077
## 159 0.571779202 1.59124255 2.66362169 -0.4757366 -0.5151993 0.57200087
## 160 0.914636463 1.59124255 2.86275918 -0.4757366 -0.5151993 0.57200087
## 161 -1.797288571 -1.72125820 -2.66689425 -0.4757366 -0.5151993 -0.29969333
## 162 -0.361879186 1.59124255 2.83593516 -0.4757366 -0.5151993 0.57200087
## 163 0.353809435 -2.30278495 0.11624696 -0.4757366 -0.5151993 -3.56490125
## 164 1.171948347 1.59124255 -1.44872255 -0.4757366 -0.5151993 0.57200087
## 165 -0.129437743 -2.46285172 -2.54944858 4.7082821 -0.5151993 -0.16435529
## 166 0.202264896 -2.48016510 -3.10014735 -0.4757366 -0.5151993 0.14614845
## 167 -0.569458407 1.33366295 1.62540755 -0.4757366 -0.5151993 0.57200087
## 168 -0.198029019 0.89332772 1.10527739 -0.4757366 -0.5151993 0.57200087
## 169 -0.200209035 0.64839040 -2.36174962 -0.4757366 0.6945180 0.07986409
## 170 -0.312875788 0.02746424 -3.11459590 -0.4757366 0.6945180 -0.04900661
## 171 -0.669848797 1.59124255 1.91225440 -0.4757366 -0.5151993 0.57200087
## 172 -0.464773100 1.59124255 2.74609190 -0.4757366 -0.5151993 0.57200087
## 173 -1.036638305 0.64839040 2.08339337 -0.4757366 -0.5151993 0.57200087
## 174 0.318752217 -4.61599305 -1.91089962 7.6668951 -0.5151993 0.57200087
## 175 0.099768740 -4.56509501 -1.98302408 8.0635845 0.1202641 0.57200087
## 176 -0.963593808 -1.92195488 -2.91586402 -0.4757366 -0.5151993 -0.04900661
## 177 -0.443378209 -4.55560862 -2.23843428 7.2943225 -0.5151993 0.57200087
## 178 2.649516476 1.59124255 3.15534329 -0.4757366 -0.5151993 0.57200087
## 179 3.421401812 1.59124255 1.85633259 -0.4757366 1.0438753 0.57200087
## 180 3.444691680 1.59124255 2.06100080 -0.4757366 -0.5151993 0.57200087
## 181 3.592096441 1.59124255 2.74609190 -0.4757366 -0.5151993 0.57200087
## 182 -0.612630516 0.89332772 1.27290889 -0.4757366 -0.5151993 0.57200087
## 183 -1.235932470 1.33366295 3.15534329 -0.4757366 -0.5151993 -0.14896648
## 184 -0.871876800 1.59124255 2.54142370 -0.4757366 -0.5151993 0.57200087
## 185 1.505730108 -1.93817156 2.95908084 2.8532056 -0.5151993 -0.14896648
## 186 -2.087185922 -1.77085566 -4.19646017 4.1395998 -0.5151993 -0.45947022
## 187 0.186007144 0.89332772 -2.32287019 0.4434369 1.2398113 0.57200087
## 188 -0.048994611 1.59124255 2.79709392 -0.4757366 -0.5151993 0.57200087
## 189 1.634125923 1.59124255 1.64444685 -0.4757366 -0.5151993 0.57200087
## 190 -0.275884933 0.63574812 -2.51150201 0.4434369 1.3217218 0.57200087
## 191 2.168791269 1.59124255 0.31575024 -0.4757366 -0.5151993 0.57200087
## 192 0.322831240 1.59124255 -0.55362636 -0.4757366 -0.5151993 0.57200087
## 193 -1.230134385 -0.62897443 0.12255926 -0.4757366 -0.5151993 0.57200087
## 194 -0.801758361 0.33172134 2.17084293 -0.4757366 -0.5151993 0.57200087
## 195 -1.099889485 1.59124255 3.37120072 -0.4757366 -0.5151993 0.57200087
## 196 2.226016200 1.59124255 -0.87919747 -0.4757366 -0.5151993 0.57200087
## 197 2.017874289 1.59124255 -0.97959336 -0.4757366 -0.5151993 0.57200087
## 198 0.407962641 1.33366295 -1.59200406 -0.4757366 -0.5151993 0.57200087
## 199 0.914667740 1.59124255 0.18304258 -0.4757366 -0.5151993 0.57200087
## 200 1.126548697 -1.86537979 -2.60945396 -0.4757366 -0.5151993 0.57200087
## 201 -0.918978519 1.59124255 1.53703069 -0.4757366 -0.5151993 0.57200087
## 202 1.358630146 1.59124255 3.35819863 3.5550856 -0.5151993 0.57200087
## 203 0.740371252 1.00915104 0.05042474 -0.4757366 -0.5151993 0.57200087
## 204 -0.047528899 1.33366295 0.62189964 -0.4757366 -0.5151993 0.45665219
## 205 1.831951795 1.33366295 3.31792102 -0.4757366 -0.5151993 0.57200087
## 206 0.806291608 -0.63515758 1.39081022 -0.4757366 -0.5151993 0.57200087
## 207 0.718020824 1.33366295 -3.07086217 -0.4757366 -0.5151993 0.57200087
## 208 0.117207142 0.64818654 -3.27140987 -0.4757366 -0.5151993 -0.70062065
## 209 0.650760945 1.33366295 -3.29939229 -0.4757366 -0.5151993 -0.14896648
## 210 -1.485468375 1.59124255 2.59972826 4.2534787 -0.5151993 0.57200087Matrice sličnosti varijabli unutar klastera
options(width = 80)
KMvar2$sim## $cluster1
## broj_studenata broj_nastavnika
## broj_studenata 1.0000000 0.1911859
## broj_nastavnika 0.1911859 1.0000000
## broj_forum_diskusija 0.2018736 0.1254877
## broj_forum_diskusija_samo_vijesti 0.2741879 0.1561133
## broj_forum_diskusija
## broj_studenata 0.2018736
## broj_nastavnika 0.1254877
## broj_forum_diskusija 1.0000000
## broj_forum_diskusija_samo_vijesti 0.5445937
## broj_forum_diskusija_samo_vijesti
## broj_studenata 0.2741879
## broj_nastavnika 0.1561133
## broj_forum_diskusija 0.5445937
## broj_forum_diskusija_samo_vijesti 1.0000000
##
## $cluster2
## broj_forum_diskusija_bez_vijesti
## broj_forum_diskusija_bez_vijesti 1.0000000
## broj_forum_postova_bez_vijesti 0.9150902
## forum 0.3636337
## br_for_post_bez_vij_kroz_br_for_disk_bez_vij 0.4301736
## br_for_disk_bez_vijesti_kroz_br_stud 0.5182548
## broj_forum_postova_bez_vijesti
## broj_forum_diskusija_bez_vijesti 0.9150902
## broj_forum_postova_bez_vijesti 1.0000000
## forum 0.3679338
## br_for_post_bez_vij_kroz_br_for_disk_bez_vij 0.7060845
## br_for_disk_bez_vijesti_kroz_br_stud 0.4689138
## forum
## broj_forum_diskusija_bez_vijesti 0.3636337
## broj_forum_postova_bez_vijesti 0.3679338
## forum 1.0000000
## br_for_post_bez_vij_kroz_br_for_disk_bez_vij 0.2337657
## br_for_disk_bez_vijesti_kroz_br_stud 0.2015911
## br_for_post_bez_vij_kroz_br_for_disk_bez_vij
## broj_forum_diskusija_bez_vijesti 0.4301736
## broj_forum_postova_bez_vijesti 0.7060845
## forum 0.2337657
## br_for_post_bez_vij_kroz_br_for_disk_bez_vij 1.0000000
## br_for_disk_bez_vijesti_kroz_br_stud 0.1804472
## br_for_disk_bez_vijesti_kroz_br_stud
## broj_forum_diskusija_bez_vijesti 0.5182548
## broj_forum_postova_bez_vijesti 0.4689138
## forum 0.2015911
## br_for_post_bez_vij_kroz_br_for_disk_bez_vij 0.1804472
## br_for_disk_bez_vijesti_kroz_br_stud 1.0000000
##
## $cluster3
## broj_pitanja_na_predmetu
## broj_pitanja_na_predmetu 1.0000000
## broj_testova_na_predmetu 0.7641184
## broj_grade_itema 0.3895632
## broj_aktivnosti_na_predmetu 0.3901420
## broj_stvarno_ocjenjenih_stavaka 0.2669706
## quiz 0.7491235
## page 0.2622591
## assign 0.1101341
## broj_testova_na_predmetu broj_grade_itema
## broj_pitanja_na_predmetu 0.76411835 0.3895632
## broj_testova_na_predmetu 1.00000000 0.4115074
## broj_grade_itema 0.41150737 1.0000000
## broj_aktivnosti_na_predmetu 0.30957640 0.5522471
## broj_stvarno_ocjenjenih_stavaka 0.25137240 0.5160956
## quiz 0.97865717 0.4267727
## page 0.25204333 0.1444383
## assign 0.08494653 0.6710231
## broj_aktivnosti_na_predmetu
## broj_pitanja_na_predmetu 0.3901420
## broj_testova_na_predmetu 0.3095764
## broj_grade_itema 0.5522471
## broj_aktivnosti_na_predmetu 1.0000000
## broj_stvarno_ocjenjenih_stavaka 0.3006252
## quiz 0.3048576
## page 0.2839175
## assign 0.3213800
## broj_stvarno_ocjenjenih_stavaka quiz
## broj_pitanja_na_predmetu 0.26697056 0.74912355
## broj_testova_na_predmetu 0.25137240 0.97865717
## broj_grade_itema 0.51609564 0.42677275
## broj_aktivnosti_na_predmetu 0.30062518 0.30485758
## broj_stvarno_ocjenjenih_stavaka 1.00000000 0.26034183
## quiz 0.26034183 1.00000000
## page 0.03346099 0.24950822
## assign 0.27644337 0.08578442
## page assign
## broj_pitanja_na_predmetu 0.26225914 0.11013406
## broj_testova_na_predmetu 0.25204333 0.08494653
## broj_grade_itema 0.14443835 0.67102307
## broj_aktivnosti_na_predmetu 0.28391754 0.32137995
## broj_stvarno_ocjenjenih_stavaka 0.03346099 0.27644337
## quiz 0.24950822 0.08578442
## page 1.00000000 0.06373589
## assign 0.06373589 1.00000000
##
## $cluster4
## broj_pracenih_aktivnosti_na_predmetu
## broj_pracenih_aktivnosti_na_predmetu 1.00000000
## chat 0.09086755
## data 0.01268011
## ukljuceno_pracenje_na_kolegiju 0.85667135
## chat data
## broj_pracenih_aktivnosti_na_predmetu 0.09086755 0.01268011
## chat 1.00000000 0.12782115
## data 0.12782115 1.00000000
## ukljuceno_pracenje_na_kolegiju 0.10933708 0.01542094
## ukljuceno_pracenje_na_kolegiju
## broj_pracenih_aktivnosti_na_predmetu 0.85667135
## chat 0.10933708
## data 0.01542094
## ukljuceno_pracenje_na_kolegiju 1.00000000
##
## $cluster5
## broj_pojmova_u_rjecniku
## broj_pojmova_u_rjecniku 1.0000000
## broj_rjecnika_u_kojima_sudjeluju_studenti 0.4694403
## broj_rjecnika_u_kojima_sudjeluju_studenti
## broj_pojmova_u_rjecniku 0.4694403
## broj_rjecnika_u_kojima_sudjeluju_studenti 1.0000000
##
## $cluster6
## broj_punih_grupa journal workshop feedback choicegroup
## broj_punih_grupa 1.0000000 0.115873738 0.3005885 0.162268675 0.263277644
## journal 0.1158737 1.000000000 0.3863899 0.002251528 0.001187629
## workshop 0.3005885 0.386389850 1.0000000 0.214872855 0.247431654
## feedback 0.1622687 0.002251528 0.2148729 1.000000000 0.550014219
## choicegroup 0.2632776 0.001187629 0.2474317 0.550014219 1.000000000Osnovne informacije o klasterima
summary(KMvar2)##
## Call:
## kmeansvar(X.quanti = podaci.standard[, 4:31], init = klaster6$cluster, nstart = 1, matsim = T)
##
## number of iterations: 1
##
## Data:
## number of observations: 210
## number of variables: 28
## number of clusters: 6
##
## Cluster 1 :
## squared loading
## broj_studenata 0.58
## broj_nastavnika 0.44
## broj_forum_diskusija 0.69
## broj_forum_diskusija_samo_vijesti 0.76
##
##
## Cluster 2 :
## squared loading
## broj_forum_diskusija_bez_vijesti 0.88
## broj_forum_postova_bez_vijesti 0.95
## forum 0.53
## br_for_post_bez_vij_kroz_br_for_disk_bez_vij 0.66
## br_for_disk_bez_vijesti_kroz_br_stud 0.59
##
##
## Cluster 3 :
## squared loading
## broj_pitanja_na_predmetu 0.75
## broj_testova_na_predmetu 0.76
## broj_grade_itema 0.78
## broj_aktivnosti_na_predmetu 0.66
## broj_stvarno_ocjenjenih_stavaka 0.51
## quiz 0.77
## page 0.36
## assign 0.40
##
##
## Cluster 4 :
## squared loading
## broj_pracenih_aktivnosti_na_predmetu 0.83
## chat 0.36
## data 0.13
## ukljuceno_pracenje_na_kolegiju 0.85
##
##
## Cluster 5 :
## squared loading
## broj_pojmova_u_rjecniku 0.84
## broj_rjecnika_u_kojima_sudjeluju_studenti 0.84
##
##
## Cluster 6 :
## squared loading
## broj_punih_grupa 0.59
## journal 0.24
## workshop 0.71
## feedback 0.57
## choicegroup 0.64
##
##
## Gain in cohesion (in %): 47.39