Differentiate x and y and compute change amplitude via an algorithm proposed by Engbert & Kliegl (2003)
Source:R/diff_ek.R
diff_ek.RdDifferentiate x and y and compute change amplitude via an algorithm proposed by Engbert & Kliegl (2003)
Arguments
- x
vector with x coordinates in degrees of visual angle
- y
vector with y coordinates in degrees of visual angle
- trial
vector with trial index
- sample_rate
sample rate in Hz
- options
List with method specific options, see Details.
Details
Method options, please refer to Engbert & Kliegl (2003) for details on parameters and the rationale for default values.
ek_velocity_time_windowTime window for velocity computation in milliseconds. Defaults to20ms.
Examples
diff_ek(rnorm(1000), rnorm(1000), rep(1, 1000), 250, list("ek_velocity_time_window" = 20))
#> x y amp
#> 1 NA NA NA
#> 2 -11.62659264 -221.10606384 221.411538
#> 3 37.57501221 -145.34518433 150.123630
#> 4 -11.23289108 -53.92872620 55.086163
#> 5 -2.65315509 13.09821701 13.364225
#> 6 20.42486954 44.21826553 48.707600
#> 7 54.94564056 94.71674347 109.500159
#> 8 -81.63528442 83.10099030 116.490747
#> 9 -71.81179047 54.89812088 90.392129
#> 10 15.81649876 -57.86772156 59.990289
#> 11 132.25834656 -78.85546112 153.981992
#> 12 183.98120117 -58.92249298 193.186290
#> 13 53.47090912 -34.31711197 63.535835
#> 14 -26.20038033 17.55119133 31.535761
#> 15 -33.95602798 138.06448364 142.178808
#> 16 -34.38060760 163.05555725 166.640754
#> 17 -80.16552734 3.65184116 80.248662
#> 18 -130.84626770 -142.49060059 193.453656
#> 19 -68.43847656 -160.53092957 174.510757
#> 20 17.14113808 -35.89296341 39.775915
#> 21 -28.33662415 4.27410984 28.657151
#> 22 -56.89721298 -64.21452332 85.795092
#> 23 -38.03211594 1.20789421 38.051292
#> 24 -4.00315237 110.65121460 110.723604
#> 25 93.43762207 98.97879028 136.115356
#> 26 5.91299868 -2.49458385 6.417671
#> 27 29.25422287 -91.22911072 95.804803
#> 28 -37.65559769 90.29235077 97.829712
#> 29 -35.57464600 133.33384705 137.998080
#> 30 64.73757935 25.25759506 69.490289
#> 31 92.65534210 -79.43210602 122.042910
#> 32 36.12227249 -27.56826973 45.440379
#> 33 -82.83351898 142.23295593 164.595278
#> 34 -42.75104523 104.44562531 112.856283
#> 35 66.85378265 -18.48061371 69.361094
#> 36 122.23027802 -70.09384155 140.902049
#> 37 24.91992378 -19.30869484 31.525042
#> 38 -15.10664272 -48.40733719 50.709772
#> 39 -37.31196213 -140.71537781 145.578158
#> 40 -58.33001328 -41.60097122 71.645176
#> 41 -35.20264053 46.14692307 58.041058
#> 42 95.12914276 90.91958618 131.589988
#> 43 123.02776337 31.05568695 126.886903
#> 44 -47.79397964 -46.03904343 66.361570
#> 45 -192.30923462 -14.67992020 192.868716
#> 46 -104.00576019 -94.94944000 140.828244
#> 47 107.55908203 -66.75359344 126.589883
#> 48 194.66355896 33.40449905 197.508890
#> 49 60.00160217 37.51146317 70.762293
#> 50 -89.07268524 -36.22076797 96.155537
#> 51 -92.04049683 -80.37359619 122.193977
#> 52 0.91788405 70.74608612 70.752040
#> 53 45.69659424 166.63710022 172.789183
#> 54 -5.33990574 5.34388590 7.554582
#> 55 -23.44446373 -150.37976074 152.196305
#> 56 -37.75878143 -138.48150635 143.536940
#> 57 -59.57186127 70.44366455 92.255713
#> 58 38.51902008 114.10148621 120.427838
#> 59 151.11840820 53.42106628 160.282824
#> 60 121.45092010 43.73869705 129.086791
#> 61 -52.62277985 27.94956398 59.584688
#> 62 -199.05938721 74.90555573 212.686346
#> 63 -140.26579285 -103.31650543 174.209050
#> 64 29.80171394 -102.97506714 107.200777
#> 65 110.58442688 -14.73829842 111.562238
#> 66 71.87817383 52.22287369 88.846499
#> 67 -21.98427200 89.04812622 91.721737
#> 68 -93.88592529 9.11739159 94.327588
#> 69 -70.33529663 -29.52573395 76.281209
#> 70 -40.18397522 -116.15119934 122.905870
#> 71 15.21653461 -83.67574310 85.048062
#> 72 20.45831108 58.43297195 61.910861
#> 73 -14.03492641 218.46510315 218.915464
#> 74 62.53508759 136.47755432 150.122483
#> 75 122.44557190 -85.49720764 149.340854
#> 76 139.19500732 -139.48849487 197.059103
#> 77 39.46053314 -16.38280296 42.726220
#> 78 -57.38694382 48.76130676 75.305553
#> 79 -142.95878601 -6.75500107 143.118289
#> 80 -171.85073853 -46.99096680 178.159556
#> 81 -203.99890137 -10.30475998 204.259002
#> 82 -80.72316742 10.51783085 81.405494
#> 83 104.51172638 45.62702179 114.037389
#> 84 145.16598511 103.29114532 178.163475
#> 85 21.57912445 8.36582184 23.144018
#> 86 -37.71080399 -156.49107361 160.970683
#> 87 148.15101624 -187.75709534 239.168247
#> 88 136.51419067 -55.66883850 147.428436
#> 89 -53.77163315 117.77364349 129.468219
#> 90 -147.77186584 165.21360779 221.657530
#> 91 14.63858891 42.87332153 45.303532
#> 92 122.77432251 -68.33930969 140.512617
#> 93 11.00418472 -99.85717773 100.461674
#> 94 -79.96327209 -22.26130676 83.004161
#> 95 -39.83066559 92.13819122 100.378923
#> 96 54.15953827 61.01828766 81.587297
#> 97 16.70676231 -6.45245218 17.909496
#> 98 -10.19363785 50.70363617 51.718169
#> 99 -50.58022308 36.55038834 62.404245
#> 100 -81.40003967 -28.97420502 86.402957
#> 101 -149.81590271 -123.30822754 194.035367
#> 102 -115.79919434 -126.83206940 171.743493
#> 103 54.66851044 62.99218369 83.406602
#> 104 97.19639587 88.70392609 131.588472
#> 105 55.72159576 58.85397339 81.047433
#> 106 54.39649963 -41.59960175 68.479968
#> 107 65.24604797 -52.22867203 83.575600
#> 108 -71.54875183 27.19087601 76.541281
#> 109 -136.96942139 1.14088035 136.974173
#> 110 -72.58485413 -92.06012726 117.233221
#> 111 103.33557129 -107.66462708 149.231070
#> 112 167.67056274 -15.25222778 168.362846
#> 113 103.65841675 102.28134918 145.624661
#> 114 -47.85977173 124.85044861 133.709357
#> 115 -154.93093872 108.09642792 188.913826
#> 116 -60.38843536 23.43601990 64.776617
#> 117 76.93256378 -80.33814240 111.233253
#> 118 163.74765015 -66.54750824 176.753681
#> 119 47.67818069 -22.88037109 52.884027
#> 120 60.83607101 76.48411560 97.728437
#> 121 101.19454956 34.61231613 106.950219
#> 122 55.16546249 -5.67576456 55.456673
#> 123 -60.43079376 30.21803665 67.564862
#> 124 -172.72175598 52.03100967 180.388556
#> 125 43.74956894 -17.62939453 47.168001
#> 126 100.18190002 -60.39786911 116.979980
#> 127 -2.52077961 -97.14836121 97.181060
#> 128 -137.65498352 -123.16905975 184.714677
#> 129 -46.79396057 -61.20032120 77.039951
#> 130 144.57788086 49.08909225 152.684323
#> 131 83.56990051 149.12963867 170.949049
#> 132 -47.88711548 59.02478027 76.007240
#> 133 -171.36152649 -18.73904800 172.383075
#> 134 -62.42066956 2.70770431 62.479370
#> 135 32.05221939 40.26439285 51.464222
#> 136 8.94421864 33.57593918 34.746838
#> 137 -49.65415192 52.76636887 72.455673
#> 138 -36.74377823 50.95045090 62.817622
#> 139 64.78625488 39.05715942 75.648665
#> 140 59.59397125 -50.64139175 78.204808
#> 141 -39.11506653 -205.13949585 208.835345
#> 142 -55.41257095 -116.88881683 129.358218
#> 143 17.16761589 -21.34117508 27.389282
#> 144 41.95885849 72.11415100 83.432587
#> 145 -19.20898438 31.10900307 36.561662
#> 146 -37.75675201 12.44782925 39.755764
#> 147 1.74342453 22.88331795 22.949635
#> 148 -27.29423904 22.13694954 35.142852
#> 149 17.06854820 115.14705658 116.405240
#> 150 3.76379204 75.69738007 75.790893
#> 151 -53.76263428 5.45221233 54.038389
#> 152 -48.60807419 -103.15320587 114.032139
#> 153 29.63697052 -82.31091309 87.483921
#> 154 23.85073853 -82.34737396 85.731836
#> 155 -7.57689667 -29.70662498 30.657673
#> 156 -33.60434723 45.71012497 56.733303
#> 157 85.37512207 69.01058197 109.778741
#> 158 15.47241974 22.55709648 27.353581
#> 159 -102.58435059 10.41591740 103.111786
#> 160 -39.37471390 58.46478653 70.487583
#> 161 40.40021133 38.12215042 55.547056
#> 162 137.80136108 50.39422226 146.726933
#> 163 96.67439270 22.25287247 99.202462
#> 164 85.17324066 -110.86930084 139.808736
#> 165 99.43761444 -174.73703003 201.049419
#> 166 84.58567810 -122.50820923 148.872423
#> 167 -28.50720596 15.42907715 32.414768
#> 168 -72.07962036 99.42038727 122.800184
#> 169 -80.06836700 48.32616806 93.521986
#> 170 -31.91189194 61.00539398 68.847854
#> 171 -58.12084961 39.96039581 70.532733
#> 172 -119.04746246 33.03592682 123.546229
#> 173 -53.00669861 1.25517404 53.021557
#> 174 -43.44281387 -30.97815132 53.356574
#> 175 -1.87250161 -19.26874733 19.359517
#> 176 16.25916672 -64.40415192 66.424809
#> 177 60.33338547 -130.64704895 143.905416
#> 178 21.26903152 -81.22439575 83.962933
#> 179 -41.24859619 -33.29961777 53.012369
#> 180 -15.22807980 -12.55825233 19.738392
#> 181 5.73246670 51.74625397 52.062808
#> 182 6.31440496 109.03849792 109.221178
#> 183 -15.38595676 85.32751465 86.703589
#> 184 63.82126236 -41.03305054 75.874006
#> 185 25.30247688 -9.00058079 26.855647
#> 186 -41.75249100 83.88237000 93.699106
#> 187 -19.59477043 65.80116272 68.656741
#> 188 46.00837708 -56.01183701 72.485148
#> 189 145.50840759 -104.78661346 179.312384
#> 190 34.49399185 -42.20246124 54.505809
#> 191 13.03320599 33.98307037 36.396614
#> 192 -9.91011620 64.78739929 65.540961
#> 193 -0.41631657 -13.74722385 13.753526
#> 194 33.54128265 10.03904438 35.011427
#> 195 -118.98147583 40.69783020 125.749374
#> 196 -171.41662598 -4.19001484 171.467828
#> 197 -150.00718689 -68.45847321 164.890020
#> 198 100.82685852 -42.31880951 109.347780
#> 199 205.50959778 104.30682373 230.464983
#> 200 18.12378120 69.13121796 71.467452
#> 201 -32.17167664 -57.47272873 65.864492
#> 202 -10.17906666 -23.42475700 25.540803
#> 203 27.14066696 41.84230042 49.873780
#> 204 -77.42701721 17.83856392 79.455380
#> 205 -96.60838318 -101.97249603 140.469106
#> 206 41.63218689 -134.25459290 140.561498
#> 207 82.25580597 -89.48851776 121.549218
#> 208 45.88671494 -36.55036163 58.664466
#> 209 26.93107414 31.50530624 41.447160
#> 210 1.39174521 125.38427734 125.392001
#> 211 -28.64696503 154.91792297 157.544316
#> 212 -55.77079391 61.83555603 83.270748
#> 213 -44.51401901 14.60372543 46.848337
#> 214 55.30084610 14.14176273 57.080408
#> 215 20.11773300 22.03590965 29.837971
#> 216 27.00564957 -4.26387119 27.340185
#> 217 74.37500763 -78.30981445 108.000319
#> 218 113.81530762 -84.38800049 141.687187
#> 219 -6.95455790 -35.91031265 36.577540
#> 220 -132.55201721 -103.49296570 168.169055
#> 221 -78.65300751 -108.35585785 133.892821
#> 222 24.44087410 -41.29942703 47.989572
#> 223 47.29740906 65.80929565 81.042633
#> 224 85.16950989 196.89376831 214.525060
#> 225 56.74518585 90.04063416 106.429939
#> 226 -42.67319107 -30.26461029 52.315847
#> 227 -126.75776672 -123.89401245 177.249140
#> 228 -48.15781403 12.08217907 49.650318
#> 229 55.39116669 147.57040405 157.623620
#> 230 -48.89060593 93.43272400 105.451246
#> 231 -91.61549377 24.76522636 94.903715
#> 232 -9.04533958 -34.45578766 35.623300
#> 233 2.84473896 -49.93273163 50.013700
#> 234 11.31811142 -76.65518188 77.486235
#> 235 58.27523041 2.51802564 58.329606
#> 236 120.68989563 69.23888397 139.140483
#> 237 126.65831757 103.37431335 163.488770
#> 238 -103.54281616 48.53452682 114.353466
#> 239 -144.62161255 14.53810883 145.350499
#> 240 -33.48325729 -67.54814148 75.391511
#> 241 60.51821518 -104.58213806 120.829955
#> 242 57.91065598 -93.13397217 109.670328
#> 243 -17.22136116 -25.19226265 30.515986
#> 244 -5.52811670 37.52158356 37.926631
#> 245 50.82038116 85.09210968 99.112957
#> 246 80.10853577 66.10702515 103.862969
#> 247 84.09963989 5.75545168 84.296350
#> 248 50.00827026 42.37288666 65.546080
#> 249 -81.78052521 -35.27708435 89.064735
#> 250 -115.91516876 -51.20880508 126.722800
#> 251 -31.47186852 -86.48790741 92.036062
#> 252 2.93320751 -39.52742386 39.636107
#> 253 -65.97778320 7.56616926 66.410201
#> 254 -67.19158936 12.93541527 68.425395
#> 255 -31.38292885 81.34199524 87.186056
#> 256 22.69365120 104.42299652 106.860489
#> 257 33.00522232 84.86633301 91.058438
#> 258 23.12311935 -20.55811882 30.940506
#> 259 49.23894501 -92.15886688 104.487944
#> 260 -56.30620193 -112.12905884 125.472364
#> 261 -34.83274460 -103.41632080 109.124954
#> 262 8.14363289 4.31191111 9.214735
#> 263 52.63050842 88.73981476 103.173277
#> 264 -33.65990829 68.83385468 76.623032
#> 265 -86.92826843 -4.28847885 87.033987
#> 266 -41.16833115 7.32407856 41.814754
#> 267 47.20074844 24.74983788 53.296014
#> 268 91.08226776 -61.52858353 109.916996
#> 269 71.68186951 -113.46485901 134.210896
#> 270 27.25442314 -41.44441223 49.602852
#> 271 -49.78190231 90.87254333 103.614945
#> 272 8.08046532 -76.85758972 77.281194
#> 273 -36.81880188 -128.70635986 133.869157
#> 274 -67.32272339 62.83023071 92.086845
#> 275 -56.36174393 130.04820251 141.736309
#> 276 47.72683334 23.46363068 53.182634
#> 277 144.17451477 -87.37561035 168.584661
#> 278 43.66642380 -6.24409056 44.110602
#> 279 -17.64082336 75.88631439 77.909764
#> 280 -84.09486389 -0.03783329 84.094872
#> 281 -142.71412659 11.27254486 143.158626
#> 282 -124.81470490 79.89624786 148.196225
#> 283 -40.56971741 24.90569115 47.604574
#> 284 147.20240784 -32.63299942 150.776197
#> 285 224.80906677 -91.47926331 242.708822
#> 286 183.55863953 -42.86841965 188.497946
#> 287 -32.91354370 19.93205833 38.478414
#> 288 -85.77320099 26.18533897 89.681180
#> 289 -97.36453247 34.15365601 103.181027
#> 290 -46.19074249 5.66645193 46.537011
#> 291 -42.51327515 2.67696714 42.597473
#> 292 -40.29206848 -30.97614288 50.822950
#> 293 134.12455750 -3.72084403 134.176159
#> 294 87.71527863 98.39126587 131.813547
#> 295 5.25532103 -2.04321146 5.638538
#> 296 -104.16301727 -38.80751419 111.157354
#> 297 -59.37385941 -62.76331329 86.397272
#> 298 21.52990723 62.23721695 65.855965
#> 299 82.40974426 186.13175964 203.559323
#> 300 103.42457581 15.39837456 104.564587
#> 301 74.14587402 -126.65591431 146.762840
#> 302 -58.22384644 -144.39752197 155.694125
#> 303 -141.03414917 -4.62918758 141.110101
#> 304 -35.65464020 85.95182800 93.053587
#> 305 82.33187866 29.57123947 87.481406
#> 306 78.31652832 23.44736481 81.751193
#> 307 -48.44343185 15.87420940 50.978001
#> 308 -81.01362610 -26.84378052 85.345159
#> 309 -87.17185974 6.58475304 87.420204
#> 310 -25.04164124 -59.64841080 64.691705
#> 311 -41.51992035 -104.63102722 112.568005
#> 312 9.12679195 -13.79535961 16.541169
#> 313 70.04244995 91.74844360 115.428427
#> 314 29.31330490 27.10766029 39.926120
#> 315 27.07387924 -117.73852539 120.811238
#> 316 -2.76882792 -41.04704666 41.140326
#> 317 -43.33816528 67.55987549 80.265393
#> 318 -60.70969772 52.19283295 80.060972
#> 319 -83.24902344 -13.91397762 84.403784
#> 320 -30.77949142 -26.69350815 40.742122
#> 321 54.33811569 -22.86683655 58.953567
#> 322 60.17578506 91.10937500 109.188110
#> 323 137.28079224 100.89526367 170.369804
#> 324 50.09967041 65.89162445 82.774894
#> 325 -102.59543610 -74.94383240 127.052751
#> 326 -159.57226562 -116.92467499 197.824891
#> 327 -138.71981812 3.85062265 138.773251
#> 328 89.41265106 -58.40935135 106.800161
#> 329 135.66775513 -28.51283073 138.631603
#> 330 22.46899414 -8.46514606 24.010714
#> 331 -14.90100193 102.79298401 103.867403
#> 332 83.66868591 100.14116669 130.494070
#> 333 177.51571655 -46.92904663 183.614174
#> 334 -13.39937878 -81.49095154 82.585220
#> 335 -208.03782654 -42.32398605 212.299451
#> 336 -175.63360596 1.93064952 175.644217
#> 337 -18.83211136 -17.35075760 25.606585
#> 338 66.35896301 -11.19776821 67.297117
#> 339 29.08527565 -62.10205460 68.575640
#> 340 -1.46593809 -98.06489563 98.075852
#> 341 -14.69189644 -107.20617676 108.208207
#> 342 71.64373779 -9.54378891 72.276615
#> 343 127.00988770 118.83891296 173.937342
#> 344 20.39437866 132.97035217 134.525259
#> 345 -19.66340065 95.94435120 97.938592
#> 346 -4.06092644 42.62424088 42.817252
#> 347 85.53274536 -47.76708221 97.967059
#> 348 -3.39304471 -9.74673748 10.320448
#> 349 -143.18618774 47.65852356 150.909308
#> 350 -102.72026062 81.69274139 131.244642
#> 351 8.58690453 -2.67350292 8.993472
#> 352 110.76647186 -106.32401276 153.538292
#> 353 7.28075647 -75.02671814 75.379161
#> 354 -70.14134216 5.59243202 70.363934
#> 355 -69.81311798 63.84563828 94.605164
#> 356 -19.88590813 90.39441681 92.555929
#> 357 -53.51765442 24.52610970 58.869936
#> 358 -18.07306862 -72.15883636 74.387724
#> 359 83.69824219 -1.43304491 83.710509
#> 360 144.82656860 -32.42929077 148.412917
#> 361 89.33890533 -17.21792412 90.982948
#> 362 29.94916534 -60.46448517 67.475229
#> 363 -69.19332123 7.50622463 69.599275
#> 364 -167.14918518 119.74293518 205.614252
#> 365 -45.77281570 130.20524597 138.016509
#> 366 -5.98937941 26.99004364 27.646611
#> 367 40.11558914 -77.10428619 86.915657
#> 368 9.20448780 -110.82424927 111.205831
#> 369 16.84873390 -90.88732910 92.435850
#> 370 44.72581100 -18.34647369 48.342438
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#> 1000 NA NA NA