Uvjeti

  • Nezavisnu varijablu čine podaci prikupljeni na nominalnoj ili ordinalnoj mjernoj ljestvici s dva ili više modaliteta (npr. muškarci-žene, bek-krilo-centar i sl.).

  • Zavisnu varijablu čine podaci prikupljeni na intervalnoj ili omjernoj mjernoj skali (npr. tjelesna visina, tjelesna težina, skok u dalj s mjesta, taping rukom i sl.).

  • Podaci su dobiveni na slučajno odabranim i relativno velikim uzorcima entiteta podjednake veličine (3 od 5 puta više entiteta u svakoj grupi od broja varijabli).

  • Podaci u varijablama ne bi trebali imati značajne outliere, odnosno ekstremno visoke ili niske rezultate.

  • Varijable su u linearnom odnosu.

  • Varijable imaju normalnu ili Gaussovu distribuciju.

library(rstatpackage)
library(dplyr)
library(knitr)

Podaci

data <- read.table(file.choose(),                  
                   header = TRUE,                      
                   dec = ",",                          
                   sep = ";",                          
                   stringsAsFactors = TRUE,
                   row.names = 1)
kable(data)
KRAJ RAZRED SPOL ATV ATT AOP ANN MKUS MPOL MP20 MPRR MTAP MSDM MDTR MVIS
Gore I Z 127.0 26.2 18.0 6 145 167 90 56 20 134 26 38
Gore I Z 122.5 22.0 17.0 10 155 355 82 34 17 112 11 20
Gore I Z 122.0 20.5 17.0 8 177 302 90 33 19 116 24 28
Gore I Z 120.0 21.0 17.2 9 163 283 55 32 15 108 23 37
Gore I Z 127.0 26.1 19.6 10 252 241 15 48 14 106 26 14
Gore I Z 122.0 21.0 16.6 8 184 405 88 20 15 192 25 24
Gore I Z 128.0 24.5 17.4 10 196 232 35 50 20 111 20 36
Gore I Z 126.0 27.0 19.2 10 163 276 51 47 17 102 20 51
Gore I Z 133.0 32.0 19.8 13 166 360 27 47 12 113 19 34
Gore I Z 125.0 24.3 18.6 11 151 396 90 36 17 113 22 46
Gore I M 124.0 26.0 19.0 10 201 271 90 46 14 94 28 13
Gore I M 130.0 27.5 19.1 13 158 210 11 32 15 102 17 9
Gore I M 132.5 27.0 18.5 11 220 346 55 37 17 86 25 12
Gore I M 126.0 22.1 17.8 5 178 310 16 26 18 122 28 13
Gore I M 133.0 28.5 20.0 6 212 214 90 46 24 127 21 31
Gore I M 125.0 23.8 17.2 10 156 265 35 28 20 108 23 16
Gore I M 122.0 24.3 18.6 8 184 282 56 41 16 96 28 19
Gore I M 121.0 22.7 18.1 7 170 230 46 45 14 122 18 11
Gore I M 122.0 26.8 19.3 13 193 346 64 29 14 91 24 7
Gore I M 125.0 22.5 17.8 11 216 351 47 30 15 86 27 7
Gore II Z 117.0 21.0 17.2 9 140 211 39 37 19 112 33 20
Gore II Z 144.5 39.5 20.5 12 152 277 12 60 19 111 28 4
Gore II Z 135.0 28.0 18.6 18 152 270 35 61 25 130 25 19
Gore II Z 117.5 22.0 18.0 10 153 205 90 78 32 95 17 11
Gore II Z 135.0 27.0 17.6 8 148 190 37 63 23 135 30 29
Gore II Z 133.5 24.5 17.2 17 142 260 80 62 21 115 19 19
Gore II Z 122.5 26.0 18.0 17 172 235 90 56 22 105 25 25
Gore II Z 122.5 27.0 17.6 16 160 400 57 52 20 80 12 3
Gore II Z 120.0 22.5 17.2 13 180 375 24 55 34 95 0 10
Gore II Z 117.5 18.6 16.3 12 142 220 54 53 19 80 22 15
Gore II M 123.0 23.5 17.8 7 164 260 41 58 25 141 33 53
Gore II M 130.0 27.0 19.5 7 137 140 90 57 24 143 43 49
Gore II M 138.0 33.0 19.8 11 185 235 42 55 19 95 31 42
Gore II M 136.0 35.0 21.5 11 300 210 75 57 20 199 32 11
Gore II M 131.0 30.0 20.0 11 158 190 6 60 21 130 37 58
Gore II M 126.5 26.0 18.1 10 145 190 34 57 26 135 35 23
Gore II M 134.0 34.0 20.5 15 165 224 37 65 20 133 37 17
Gore II M 126.0 25.0 18.0 7 156 206 45 48 22 112 26 27
Gore II M 124.5 24.0 19.0 10 133 150 90 52 19 120 31 34
Gore II M 138.5 31.0 18.8 10 186 210 23 55 21 120 27 37
Gore III Z 131.0 27.5 20.0 17 165 160 15 80 25 85 37 4
Gore III Z 134.0 30.0 20.0 20 142 180 90 80 19 95 24 4
Gore III Z 135.0 33.0 20.0 18 151 175 74 80 25 80 19 27
Gore III Z 141.0 32.5 19.5 14 150 165 31 80 18 80 12 7
Gore III Z 142.0 28.0 19.0 11 157 221 90 80 23 65 22 6
Gore III Z 138.0 30.0 20.8 19 174 240 59 49 19 104 16 4
Gore III Z 131.5 26.0 19.2 10 124 120 90 80 22 110 27 42
Gore III Z 128.5 27.5 19.6 7 183 210 90 80 20 80 27 11
Gore III Z 137.0 34.5 20.1 21 166 260 90 80 19 70 27 0
Gore III Z 122.5 27.5 19.5 11 134 146 90 80 21 110 33 25
Gore III M 134.5 29.0 19.2 7 121 100 90 80 22 125 39 52
Gore III M 134.0 29.5 20.0 12 151 155 90 80 25 80 31 40
Gore III M 131.5 23.0 20.1 18 154 160 57 80 29 110 42 30
Gore III M 131.5 30.5 19.0 9 145 130 27 80 26 120 29 19
Gore III M 136.5 25.5 18.9 6 160 200 83 80 24 75 27 6
Gore III M 138.5 33.0 20.0 12 125 129 31 80 22 120 34 16
Gore III M 134.0 32.0 20.0 12 140 120 87 80 19 115 35 52
Gore III M 134.0 25.0 18.0 6 210 120 83 80 26 114 30 14
Gore III M 138.5 36.0 21.0 15 143 120 90 80 22 105 28 52
Gore III M 133.0 24.0 17.4 9 189 190 11 80 18 65 21 20
Gore IV Z 144.0 36.5 19.8 14 158 201 60 60 20 140 26 9
Gore IV Z 142.0 32.5 19.2 10 139 185 90 79 25 138 30 32
Gore IV Z 148.0 37.0 19.7 12 144 230 90 75 24 138 24 16
Gore IV Z 153.0 42.5 20.6 12 144 163 90 60 22 151 30 9
Gore IV Z 135.5 26.0 17.1 11 143 208 90 62 23 120 31 30
Gore IV Z 154.5 65.5 24.0 22 144 420 30 72 24 100 17 0
Gore IV Z 146.0 48.0 22.7 23 156 335 46 66 22 112 23 0
Gore IV Z 135.0 27.0 17.5 14 141 147 90 60 22 126 31 28
Gore IV Z 152.0 35.5 20.0 10 137 153 15 78 26 120 28 17
Gore IV Z 130.0 26.0 17.6 9 160 140 90 65 22 124 30 19
Gore IV M 149.0 33.5 19.6 8 132 136 90 75 24 173 36 31
Gore IV M 134.0 34.5 20.7 13 149 145 90 71 23 126 40 22
Gore IV M 147.0 33.0 20.5 13 145 200 90 74 20 126 35 30
Gore IV M 141.0 36.5 20.5 14 117 131 90 77 28 170 37 47
Gore IV M 134.5 24.5 17.3 6 133 128 25 71 21 153 38 50
Gore IV M 128.0 27.5 18.5 9 143 124 90 76 22 166 32 37
Gore IV M 144.0 35.0 21.0 11 129 153 90 74 25 166 34 24
Gore IV M 139.0 30.5 18.4 7 138 142 84 62 24 152 38 37
Gore IV M 137.0 38.0 20.8 16 134 159 90 65 25 146 33 14
Gore IV M 139.0 32.5 19.5 6 138 175 90 65 24 144 32 29
Gore I Z 128.0 28.0 19.0 12 200 406 90 40 15 65 25 10
Gore I Z 131.5 27.0 18.0 12 258 458 90 34 13 100 25 3
Gore I Z 130.0 28.0 20.0 10 162 220 90 55 19 130 12 47
Gore I Z 123.0 22.0 18.5 10 182 330 90 55 12 140 13 35
Gore I Z 122.0 21.0 18.0 10 142 251 90 55 14 140 32 51
Gore I Z 124.0 24.0 18.0 14 174 325 90 60 14 100 5 8
Gore I Z 124.0 22.0 18.0 10 138 310 90 68 14 100 21 18
Gore I Z 125.0 29.0 19.8 19 226 479 50 56 15 90 19 23
Gore I Z 122.5 23.0 17.0 9 238 325 90 48 16 81 28 21
Gore I M 124.5 24.5 18.0 8 330 349 80 41 18 84 16 18
Gore I M 136.0 33.0 21.0 15 240 310 90 42 17 105 28 21
Gore I M 130.5 27.0 18.0 10 268 329 41 43 19 90 27 16
Gore I M 131.0 32.0 21.0 13 160 330 36 47 17 102 12 29
Gore I M 126.0 27.0 18.5 15 180 373 90 43 14 79 24 6
Gore I M 131.0 24.0 16.0 9 230 320 23 22 16 86 18 12
Gore I M 124.0 24.0 16.0 9 330 273 80 44 17 72 12 27
Gore I M 125.5 26.0 18.5 11 158 183 25 50 21 95 27 14
Gore I M 120.0 22.0 16.0 8 162 251 90 38 16 70 25 10
Gore I M 121.0 24.5 17.0 9 238 330 90 34 18 86 29 14
Gore II Z 135.0 31.5 20.0 14 172 290 55 44 24 115 26 13
Gore II Z 125.5 24.0 17.0 10 172 226 90 39 23 110 34 35
Gore II Z 125.5 24.4 17.0 11 158 350 65 32 19 78 28 19
Gore II Z 130.5 29.5 18.5 17 155 310 90 32 20 95 27 12
Gore II Z 121.0 24.0 18.0 11 149 260 20 62 11 100 13 32
Gore II Z 137.0 34.0 21.5 20 163 230 90 80 26 120 16 10
Gore II Z 127.0 25.0 19.0 16 145 290 40 53 18 110 8 10
Gore II Z 135.0 31.0 20.0 15 142 250 90 80 19 150 15 18
Gore II Z 129.0 24.0 18.0 14 143 320 35 35 14 100 8 10
Gore II Z 126.0 29.0 20.0 13 149 330 90 80 21 120 15 10
Gore II M 123.5 24.5 18.0 10 240 326 90 42 20 95 23 41
Gore II M 135.0 34.5 21.0 15 294 327 35 26 16 80 22 17
Gore II M 127.0 30.5 20.0 10 243 265 90 37 17 120 26 15
Gore II M 123.5 25.0 18.0 8 290 365 37 32 14 85 21 14
Gore II M 136.0 32.5 19.0 13 140 241 32 40 22 120 30 19
Gore II M 140.5 40.5 22.0 20 181 392 15 45 17 120 24 16
Gore II M 124.0 23.0 18.0 9 147 150 90 50 27 150 29 54
Gore II M 133.0 29.0 20.5 12 134 164 90 65 25 130 10 58
Gore II M 132.0 30.0 21.0 10 148 200 90 36 21 160 19 32
Gore II M 119.0 24.0 18.7 10 129 180 18 43 21 100 23 41
Gore III Z 133.0 30.0 20.0 13 165 370 60 55 20 110 28 26
Gore III Z 139.0 36.0 20.5 19 156 302 90 49 15 110 16 25
Gore III Z 137.0 32.0 20.0 14 171 316 90 62 22 130 25 0
Gore III Z 127.0 25.0 18.0 9 152 183 25 40 23 140 33 71
Gore III Z 128.0 26.0 18.5 12 158 302 90 49 17 100 23 21
Gore III Z 138.5 32.0 19.0 10 140 149 90 63 26 140 21 45
Gore III Z 142.0 38.0 20.0 11 150 375 90 71 24 120 9 10
Gore III Z 138.0 30.0 19.0 12 149 257 90 50 21 120 12 15
Gore III Z 143.5 38.0 23.0 19 167 259 90 60 21 130 21 20
Gore III Z 131.0 29.0 19.5 13 149 299 90 37 22 90 12 15
Gore III M 125.0 25.0 18.5 10 147 209 46 65 17 100 23 25
Gore III M 145.0 34.0 20.0 9 138 196 15 57 17 140 28 36
Gore III M 131.0 27.0 19.0 8 130 183 90 45 21 140 19 67
Gore III M 138.0 35.0 21.0 14 144 301 55 43 20 140 27 19
Gore III M 121.5 23.0 17.0 8 141 180 90 30 19 140 32 15
Gore III M 128.5 26.0 19.5 7 139 192 20 34 18 148 13 19
Gore III M 126.0 25.5 18.0 9 159 208 90 40 22 120 23 26
Gore III M 147.5 40.0 23.0 15 149 279 90 50 18 160 21 15
Gore III M 131.0 25.5 18.2 7 144 250 15 33 20 100 12 72
Gore III M 133.0 44.0 23.5 27 191 318 40 60 18 140 10 0
Gore IV Z 143.0 33.5 19.0 11 120 211 90 47 27 126 34 29
Gore IV Z 153.0 54.5 23.0 25 136 260 90 60 28 110 27 4
Gore IV Z 157.0 49.0 23.0 19 140 293 90 30 23 100 28 3
Gore IV Z 144.0 37.5 20.0 11 154 212 90 41 28 130 34 14
Gore IV Z 148.0 38.0 20.3 11 134 230 90 50 29 140 30 30
Gore IV Z 138.0 37.0 22.0 19 143 160 90 80 26 130 13 5
Gore IV Z 136.0 34.0 21.0 23 131 230 35 63 22 130 18 5
Gore IV Z 145.0 36.0 20.5 10 135 240 50 73 26 120 16 18
Gore IV Z 145.0 34.0 21.0 12 120 205 90 62 31 160 20 64
Gore IV M 147.0 36.0 21.2 8 134 180 90 55 30 170 31 120
Gore IV M 142.0 30.0 20.0 9 149 140 90 55 28 160 20 55
Gore IV M 146.0 31.0 19.7 5 121 132 40 65 30 200 27 120
Gore IV M 141.0 36.0 20.7 8 113 120 90 80 28 190 37 120
Gore IV M 136.0 50.0 25.0 24 124 190 10 80 30 140 17 2
Gore IV M 142.0 39.0 22.0 13 125 210 15 51 27 130 16 40
Gore IV M 149.0 52.0 24.0 23 143 255 50 68 27 140 15 3
Gore IV M 134.5 29.0 18.0 8 136 180 90 42 25 120 31 11
Gore IV M 135.5 28.0 18.5 9 148 176 90 30 30 140 37 24
Gore IV M 145.5 36.0 20.0 10 150 214 90 36 30 132 38 38
More I Z 126.0 24.5 18.0 10 189 220 90 30 19 90 10 8
More I Z 116.0 26.0 19.2 12 155 293 90 27 12 110 23 9
More I Z 136.0 24.0 16.5 7 163 359 16 30 9 135 18 9
More I Z 126.0 21.0 15.8 6 201 445 90 23 16 115 21 32
More I Z 125.0 27.0 18.2 13 180 265 30 22 16 130 23 22
More I Z 118.0 21.0 16.6 11 186 455 90 38 15 87 25 15
More I Z 129.0 23.5 18.8 18 169 483 39 41 13 95 18 11
More I Z 137.0 44.0 23.0 23 221 459 12 43 14 116 19 3
More I Z 137.0 26.0 19.0 12 236 378 62 35 12 100 20 4
More I Z 135.0 31.0 20.0 11 160 241 90 44 14 116 31 20
More I M 127.0 25.0 18.5 7 197 194 90 20 18 131 33 62
More I M 126.0 24.0 18.0 10 394 210 90 33 14 127 18 19
More I M 125.0 33.0 19.6 16 342 273 90 24 16 125 17 13
More I M 135.0 38.0 21.8 25 173 249 85 23 17 108 16 7
More I M 130.0 30.0 19.3 11 176 217 90 20 15 130 26 7
More I M 132.0 33.0 16.5 7 58 186 14 29 15 118 14 10
More I M 137.0 30.0 19.8 14 183 294 25 33 12 138 24 22
More I M 126.0 34.0 18.4 13 176 283 90 37 13 129 25 7
More I M 130.0 30.0 17.8 5 166 373 30 18 12 130 22 8
More I M 137.0 33.0 20.1 19 182 190 37 35 15 110 24 4
More II Z 137.0 30.0 18.0 6 140 300 90 76 20 116 26 9
More II Z 135.0 30.0 18.2 8 170 310 20 50 18 114 23 16
More II Z 138.0 38.0 20.7 25 177 580 7 52 17 99 14 2
More II Z 138.5 29.0 18.4 8 172 480 90 59 16 98 23 6
More II Z 125.0 24.0 16.8 10 139 330 90 59 15 103 17 16
More II Z 123.0 23.0 18.0 10 189 290 30 70 20 112 8 8
More II Z 134.0 25.0 17.3 8 178 240 90 79 18 144 26 11
More II Z 134.0 30.0 18.8 11 191 230 10 75 20 152 23 14
More II Z 130.0 30.0 18.5 12 156 430 35 80 16 83 28 3
More II Z 130.0 29.0 18.5 12 268 220 90 78 15 101 27 7
More II M 134.0 38.0 22.0 22 188 250 6 58 17 94 23 0
More II M 138.0 30.0 18.3 6 160 160 90 62 16 133 30 18
More II M 123.0 25.0 18.0 6 197 280 90 40 19 137 24 36
More II M 141.0 34.0 20.5 13 173 250 10 78 21 164 33 16
More II M 149.0 52.5 25.5 18 230 320 90 80 20 128 25 0
More II M 129.0 30.0 18.7 9 154 340 20 59 20 113 28 29
More II M 132.0 28.0 18.0 7 149 170 90 64 20 138 20 17
More II M 136.0 35.0 20.5 18 203 410 90 60 15 107 21 11
More II M 142.0 45.1 21.8 29 212 340 40 62 17 100 30 0
More II M 129.0 28.0 18.9 11 161 290 12 61 20 136 37 17
More III Z 133.0 26.0 17.5 10 176 230 54 31 22 156 27 16
More III Z 136.0 35.0 20.8 15 142 180 90 36 22 163 26 5
More III Z 130.0 25.0 18.6 11 151 180 90 46 21 156 27 9
More III Z 134.0 25.0 17.7 6 134 180 29 43 21 166 30 4
More III Z 142.0 40.0 22.7 17 171 210 38 49 23 157 29 8
More III Z 149.0 38.0 20.5 8 141 190 17 35 22 170 30 10
More III Z 141.0 36.0 17.3 6 204 255 55 35 43 144 28 6
More III Z 130.0 30.0 21.7 26 170 190 90 37 23 158 28 6
More III Z 145.0 40.0 21.7 17 166 180 47 30 20 167 29 9
More III Z 130.0 33.0 19.2 14 141 300 90 62 23 113 23 16
More III M 126.0 27.0 17.8 6 151 140 90 40 20 182 41 36
More III M 134.0 28.0 19.4 6 149 150 90 44 25 183 38 11
More III M 132.0 29.0 18.5 6 168 170 90 40 22 167 27 8
More III M 138.0 33.0 20.0 11 172 160 41 36 24 182 31 9
More III M 144.0 33.0 19.0 10 147 200 28 40 41 169 29 19
More III M 145.0 39.0 21.5 13 169 170 32 55 23 160 30 5
More III M 147.0 39.0 21.5 13 138 200 52 40 22 179 32 4
More III M 145.0 45.0 23.5 17 132 200 26 50 24 158 32 6
More III M 135.0 29.0 19.3 10 444 240 51 35 20 163 40 10
More III M 129.0 23.0 17.4 9 149 200 29 32 23 192 42 11
More IV Z 158.0 51.0 23.7 19 123 280 90 48 29 146 32 63
More IV Z 155.0 52.0 22.5 25 153 220 90 38 26 119 33 30
More IV Z 145.0 34.0 20.2 13 160 200 90 43 25 157 37 25
More IV Z 138.0 34.0 20.8 16 157 250 90 35 25 127 37 55
More IV Z 132.0 33.0 18.2 11 134 250 90 41 27 140 33 120
More IV Z 141.0 31.5 19.5 10 142 200 90 51 29 150 32 103
More IV Z 135.0 31.0 19.7 13 130 220 90 42 24 125 36 45
More IV Z 146.0 33.5 21.4 16 138 290 90 45 25 145 27 100
More IV Z 142.0 37.0 22.3 20 144 250 64 34 25 124 36 93
More IV Z 154.0 43.0 19.0 13 135 284 31 45 24 140 30 77
More IV M 132.0 31.0 20.5 16 136 200 70 33 22 130 28 43
More IV M 147.0 37.0 22.0 11 124 190 90 50 25 170 30 65
More IV M 138.0 31.0 20.2 12 334 330 60 25 25 128 28 50
More IV M 138.0 30.0 19.0 10 120 170 57 43 31 156 27 100
More IV M 135.0 30.0 19.4 6 112 120 90 43 35 160 46 110
More IV M 138.0 31.0 20.6 10 105 120 90 40 28 167 44 115
More IV M 145.0 36.0 22.0 20 133 230 72 39 25 133 33 75
More IV M 141.0 37.0 22.8 22 122 268 68 23 28 118 34 75
More IV M 141.0 31.0 20.4 12 126 180 90 37 26 149 37 120
More IV M 145.0 36.0 20.0 9 121 170 70 48 23 175 33 63
More I Z 127.0 25.0 16.8 9 169 220 3 40 26 125 20 12
More I Z 130.0 29.0 17.6 10 158 190 14 25 25 125 16 7
More I Z 128.0 26.0 20.0 10 168 210 37 30 23 100 20 13
More I Z 127.0 24.0 19.0 15 173 230 90 36 24 95 12 12
More I Z 121.0 23.0 17.5 12 185 260 90 35 16 110 17 13
More I Z 120.0 19.0 15.7 9 170 210 90 22 24 130 13 26
More I Z 131.0 27.0 19.0 10 173 240 38 35 26 120 14 10
More I Z 132.0 26.0 17.5 9 185 260 16 32 26 150 16 22
More I Z 131.0 32.0 22.0 24 160 220 48 35 25 108 25 9
More I Z 128.0 28.0 19.2 14 166 230 65 38 25 90 21 20
More I M 125.0 25.0 17.8 8 142 190 90 31 27 140 21 15
More I M 127.0 25.0 17.0 8 251 310 5 37 24 115 16 5
More I M 125.0 25.0 18.1 6 187 170 28 38 29 130 12 15
More I M 130.0 26.0 19.0 9 163 210 28 42 23 110 21 17
More I M 120.0 25.0 19.0 11 167 210 90 30 22 110 6 10
More I M 127.0 26.0 17.5 6 179 220 90 28 22 111 23 35
More I M 124.0 23.0 16.9 6 185 200 62 36 31 120 23 45
More I M 129.0 31.0 19.5 16 158 200 23 29 22 90 19 5
More I M 127.0 26.0 17.7 6 141 160 86 38 27 130 31 26
More I M 128.0 25.0 16.6 5 180 200 90 24 22 120 18 20
More II Z 128.0 24.0 18.3 8 137 180 90 43 28 127 17 35
More II Z 124.0 25.0 18.3 10 160 260 90 33 22 112 2 25
More II Z 121.0 23.0 17.1 8 160 460 90 30 19 123 3 12
More II Z 139.0 28.0 19.1 13 140 200 11 40 22 127 15 29
More II Z 137.0 38.0 20.2 18 167 190 90 33 20 131 11 36
More II Z 132.0 33.0 19.5 16 199 230 90 37 18 130 9 17
More II Z 132.0 31.0 19.8 9 198 350 90 24 24 122 15 33
More II Z 125.0 20.0 16.7 10 183 260 18 41 23 118 12 21
More II Z 129.0 28.0 19.0 19 150 240 32 37 23 108 4 27
More II Z 124.0 25.5 17.4 8 160 290 90 30 17 102 13 29
More II M 134.0 35.0 21.0 20 141 210 38 41 21 132 12 34
More II M 124.0 34.0 20.5 18 155 230 90 38 20 172 14 31
More II M 134.0 30.0 18.9 11 143 180 67 36 22 127 14 29
More II M 141.0 30.0 19.3 13 148 200 52 27 27 132 18 31
More II M 136.0 29.0 19.2 8 162 160 11 29 23 162 12 29
More II M 140.0 38.0 20.8 18 135 150 90 35 24 137 15 41
More II M 135.0 29.0 20.0 10 151 270 90 38 20 141 12 23
More II M 134.0 34.0 19.4 14 198 250 54 27 21 111 4 29
More II M 133.0 27.0 19.8 10 173 160 90 28 15 112 15 31
More II M 131.0 25.5 18.0 7 178 210 22 43 20 119 13 23
More III Z 145.0 39.0 18.6 8 137 180 45 36 18 130 18 12
More III Z 136.0 32.0 19.5 16 146 190 68 30 20 130 24 10
More III Z 138.0 31.0 18.9 8 159 180 55 35 21 130 20 15
More III Z 138.0 32.0 18.9 9 140 120 90 35 24 135 25 15
More III Z 132.0 34.0 19.5 10 150 180 80 46 25 135 22 18
More III Z 147.0 34.0 19.8 11 100 200 72 45 21 125 21 38
More III Z 140.0 40.0 20.9 16 184 280 90 35 19 80 17 19
More III Z 123.0 23.0 17.0 9 174 150 90 24 21 105 29 21
More III Z 134.0 33.0 20.5 18 182 170 64 37 23 120 29 57
More III Z 147.0 39.0 20.3 14 151 170 90 28 25 152 35 59
More III M 141.0 35.0 18.0 7 149 160 90 30 24 134 24 27
More III M 133.0 30.0 21.0 11 152 130 90 22 24 140 36 56
More III M 131.0 27.0 19.0 9 139 180 75 30 24 140 26 51
More III M 146.0 34.0 20.4 11 143 170 58 40 26 130 21 15
More III M 132.0 30.0 17.9 6 149 150 34 25 24 127 11 28
More III M 127.0 20.0 16.0 5 131 180 90 15 19 110 21 25
More III M 141.0 31.0 20.5 8 186 180 21 20 21 128 23 23
More III M 135.0 31.0 19.9 13 149 150 90 32 24 130 26 19
More III M 139.0 30.0 19.7 17 142 210 90 30 24 120 20 18
More III M 138.0 29.0 19.8 11 147 150 55 30 19 115 14 21
More IV Z 136.0 30.0 20.1 9 155 162 13 80 20 140 26 33
More IV Z 152.0 35.0 20.5 9 161 153 90 70 28 140 34 44
More IV Z 144.0 32.0 21.5 15 146 160 6 80 18 118 12 6
More IV Z 147.0 41.0 20.5 13 142 166 32 80 27 165 35 20
More IV Z 143.0 31.0 18.4 8 167 209 20 78 23 150 13 28
More IV Z 140.0 34.0 21.3 22 155 202 35 65 28 157 19 14
More IV Z 149.0 40.0 21.0 14 140 187 90 73 18 157 31 34
More IV Z 150.0 49.0 20.9 18 188 220 21 60 22 150 10 8
More IV Z 137.0 32.0 18.4 9 160 128 90 80 19 164 27 120
More IV Z 143.0 35.0 20.7 17 135 170 37 76 26 140 10 11
More IV M 143.0 47.0 22.5 18 167 234 39 60 15 130 16 18
More IV M 138.0 30.0 21.0 8 165 147 90 63 21 168 24 13
More IV M 145.0 31.0 20.0 7 142 171 35 60 20 150 22 15
More IV M 160.0 45.0 22.3 9 141 185 55 76 22 178 24 16
More IV M 135.0 34.0 20.5 13 137 129 84 68 24 168 32 37
More IV M 145.0 40.0 21.7 9 180 191 90 65 22 120 30 20
More IV M 142.0 35.0 20.8 7 135 158 90 70 22 179 23 55
More IV M 139.0 30.0 19.5 6 152 177 69 70 22 160 25 105
More IV M 147.0 33.0 20.5 8 162 132 90 62 28 180 29 25
More IV M 150.0 40.0 21.4 16 155 163 21 75 23 148 23 20

Varijable

X <- data %>% select(ATV, ATT, AOP, ANN, MKUS, MPOL, MP20, MPRR, MTAP, MSDM, MDTR, MVIS)
G <- data$RAZRED
cat('Zavisne varijable:', names(X))
## Zavisne varijable: ATV ATT AOP ANN MKUS MPOL MP20 MPRR MTAP MSDM MDTR MVIS
cat('Nezavisna varijabla:', "RAZRED")
## Nezavisna varijabla: RAZRED

DF

disc_df <- disc_df(data, X, G)
kable(disc_df)
DF Eigenvalue Canonical R Wilks’ Lambda aprox. F df1 df2 p level
DF1 2.134 0.825 0.255 14.636 36 895.97 0
DF2 0.17 0.381 0.799 3.28 22 608 0
DF3 0.07 0.256 0.935 2.135 10 305 0.022

Struktura DF

disc_struc  <- disc_structure(data, X, G)
kable(disc_struc)
DF1 DF2 DF3
ATV 0.832 -0.070 0.167
ATT 0.642 0.083 0.078
AOP 0.562 -0.013 -0.037
ANN 0.168 0.156 -0.224
MKUS -0.492 0.087 0.280
MPOL -0.533 0.531 0.175
MP20 0.157 -0.138 0.286
MPRR 0.506 0.244 -0.568
MTAP 0.641 -0.032 -0.160
MSDM 0.558 0.017 0.084
MDTR 0.443 -0.250 0.293
MVIS 0.429 0.345 0.457

Centroidi

disc_cent <- disc_centroids(data, X, G)
kable(disc_cent)
FREQ. DF1 DF2 DF3
I 79 -1.848 -0.012 0.312
II 80 -0.634 0.434 -0.339
III 80 0.356 -0.651 -0.163
IV 79 2.129 0.231 0.196

Klas. mat.

disc_clasf <- disc_clas_f(data, X, G)
## 
##  
##    Cell Contents
## |-------------------------|
## |                       N |
## | Chi-square contribution |
## |           N / Row Total |
## |           N / Col Total |
## |         N / Table Total |
## |-------------------------|
## 
##  
## Total Observations in Table:  318 
## 
##  
##              | g 
##      predict |         I |        II |       III |        IV | Row Total | 
## -------------|-----------|-----------|-----------|-----------|-----------|
##            I |        58 |        19 |         9 |         1 |        87 | 
##              |    61.259 |     0.381 |     7.588 |    19.659 |           | 
##              |     0.667 |     0.218 |     0.103 |     0.011 |     0.274 | 
##              |     0.734 |     0.237 |     0.112 |     0.013 |           | 
##              |     0.182 |     0.060 |     0.028 |     0.003 |           | 
## -------------|-----------|-----------|-----------|-----------|-----------|
##           II |        14 |        36 |        10 |         2 |        62 | 
##              |     0.128 |    26.688 |     2.009 |    11.662 |           | 
##              |     0.226 |     0.581 |     0.161 |     0.032 |     0.195 | 
##              |     0.177 |     0.450 |     0.125 |     0.025 |           | 
##              |     0.044 |     0.113 |     0.031 |     0.006 |           | 
## -------------|-----------|-----------|-----------|-----------|-----------|
##          III |         7 |        20 |        53 |        15 |        95 | 
##              |    11.677 |     0.636 |    35.434 |     3.134 |           | 
##              |     0.074 |     0.211 |     0.558 |     0.158 |     0.299 | 
##              |     0.089 |     0.250 |     0.662 |     0.190 |           | 
##              |     0.022 |     0.063 |     0.167 |     0.047 |           | 
## -------------|-----------|-----------|-----------|-----------|-----------|
##           IV |         0 |         5 |         8 |        61 |        74 | 
##              |    18.384 |     9.959 |     6.054 |    98.792 |           | 
##              |     0.000 |     0.068 |     0.108 |     0.824 |     0.233 | 
##              |     0.000 |     0.062 |     0.100 |     0.772 |           | 
##              |     0.000 |     0.016 |     0.025 |     0.192 |           | 
## -------------|-----------|-----------|-----------|-----------|-----------|
## Column Total |        79 |        80 |        80 |        79 |       318 | 
##              |     0.248 |     0.252 |     0.252 |     0.248 |           | 
## -------------|-----------|-----------|-----------|-----------|-----------|
## 
## 
kable(disc_clasf)
I II III IV Total
I 58 14 7 0 79
II 19 36 20 5 80
III 9 10 53 8 80
IV 1 2 15 61 79 
disc_clasp <- disc_clas_p(data, X, G)
## 
##  
##    Cell Contents
## |-------------------------|
## |                       N |
## | Chi-square contribution |
## |           N / Row Total |
## |           N / Col Total |
## |         N / Table Total |
## |-------------------------|
## 
##  
## Total Observations in Table:  318 
## 
##  
##              | g 
##      predict |         I |        II |       III |        IV | Row Total | 
## -------------|-----------|-----------|-----------|-----------|-----------|
##            I |        58 |        19 |         9 |         1 |        87 | 
##              |    61.259 |     0.381 |     7.588 |    19.659 |           | 
##              |     0.667 |     0.218 |     0.103 |     0.011 |     0.274 | 
##              |     0.734 |     0.237 |     0.112 |     0.013 |           | 
##              |     0.182 |     0.060 |     0.028 |     0.003 |           | 
## -------------|-----------|-----------|-----------|-----------|-----------|
##           II |        14 |        36 |        10 |         2 |        62 | 
##              |     0.128 |    26.688 |     2.009 |    11.662 |           | 
##              |     0.226 |     0.581 |     0.161 |     0.032 |     0.195 | 
##              |     0.177 |     0.450 |     0.125 |     0.025 |           | 
##              |     0.044 |     0.113 |     0.031 |     0.006 |           | 
## -------------|-----------|-----------|-----------|-----------|-----------|
##          III |         7 |        20 |        53 |        15 |        95 | 
##              |    11.677 |     0.636 |    35.434 |     3.134 |           | 
##              |     0.074 |     0.211 |     0.558 |     0.158 |     0.299 | 
##              |     0.089 |     0.250 |     0.662 |     0.190 |           | 
##              |     0.022 |     0.063 |     0.167 |     0.047 |           | 
## -------------|-----------|-----------|-----------|-----------|-----------|
##           IV |         0 |         5 |         8 |        61 |        74 | 
##              |    18.384 |     9.959 |     6.054 |    98.792 |           | 
##              |     0.000 |     0.068 |     0.108 |     0.824 |     0.233 | 
##              |     0.000 |     0.062 |     0.100 |     0.772 |           | 
##              |     0.000 |     0.016 |     0.025 |     0.192 |           | 
## -------------|-----------|-----------|-----------|-----------|-----------|
## Column Total |        79 |        80 |        80 |        79 |       318 | 
##              |     0.248 |     0.252 |     0.252 |     0.248 |           | 
## -------------|-----------|-----------|-----------|-----------|-----------|
## 
## 
kable(disc_clasp)
I II III IV Total
I 73.42 17.72 8.86 0.00 100.00
II 23.75 45.00 25.00 6.25 100.00
III 11.25 12.50 66.25 10.00 100.00
IV 1.27 2.53 18.99 77.22 100.01