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Just-noticeable difference

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percentage of individuals exhibit an accuracy of between a quarter and a half ST. Although JND varies as a function of the frequency band being tested, it has been shown that JND for the best performers at around 1 kHz is well below 1 Hz, (i.e. less than a tenth of a percent). It is, however, important to be aware of the role played by critical bandwidth when performing this kind of analysis.
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their products. Less than the JND is wasted effort because the improvement will not be perceived; more than the JND is again wasteful because it reduces the level of repeat sales. On the other hand, when it comes to price increases, less than the JND is desirable because consumers are unlikely to notice it.
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When analysing speech melody, rather than musical tones, accuracy decreases. This is not surprising given that speech does not stay at fixed intervals in the way that tones in music do. Johan 't Hart (1981) found that JND for speech averaged between 1 and 2 STs but concluded that "only differences of
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When it comes to product improvements, marketers very much want to meet or exceed the consumer's differential threshold; that is, they want consumers to readily perceive any improvements made in the original products. Marketers use the JND to determine the amount of improvement they should make in
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The JND is a statistical, rather than an exact quantity: from trial to trial, the difference that a given person notices will vary somewhat, and it is therefore necessary to conduct many trials in order to determine the threshold. The JND usually reported is the difference that a person notices on
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JND analysis is frequently occurring in both music and speech, the two being related and overlapping in the analysis of speech prosody (i.e. speech melody). While several studies have shown that JND for tones (not necessarily sine waves) might normally lie between 5 and 9 semitones (STs), a small
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of the level of a feature in an object or situation and an internal standard of comparison in memory, such as the 'template' for a category or the 'norm' of recognition. The JND-scaled distances from norm can be combined among observed and inferred psychophysical functions to generate diagnostics
238:, imply that the observed JND, even in this statistical sense, is not an absolute quantity, but will depend on situational and motivational as well as perceptual factors. For example, when a researcher flashes a very dim light, a participant may report seeing it on some trials but not on others. 293:
Note that, given the logarithmic characteristics of Hz, for both music and speech perception results should not be reported in Hz but either as percentages or in STs (5 Hz between 20 and 25 Hz is very different from 5 Hz between 2000 and 2005 Hz, but an ~18.9% or 3 semitone
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The JND formula has an objective interpretation (implied at the start of this entry) as the disparity between levels of the presented stimulus that is detected on 50% of occasions by a particular observed response, rather than what is subjectively "noticed" or as a difference in magnitudes of
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For many sensory modalities, over a wide range of stimulus magnitudes sufficiently far from the upper and lower limits of perception, the 'JND' is a fixed proportion of the reference sensory level, and so the ratio of the JND/reference is roughly constant (that is the JND is a constant
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devices and robotic applications. Exerting the proper amount of force to human operator is a critical aspects in human robot interactions and tele operation scenarios. It can highly improve the performance of the user in accomplishing a task.
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Feyzabadi, Seyedshams; Straube, Sirko; Folgheraiter, Michele; Kirchner, Elsa Andrea; Kim, Su Kyoung; Albiez, Jan Christian (2013). "Human Force Discrimination during Active Arm Motion for Force Feedback Design".
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so that product improvements (e.g. improved or updated packaging, larger size or lower price) are very apparent to consumers without being wastefully extravagant (i.e. they are at or just above the JND).
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The JND for tone is dependent on the tone's frequency content. Below 500 Hz, the JND is about 3 Hz for sine waves; above 1000 Hz, the JND for sine waves is about 0.6% (about 10
185:(1795–1878), an anatomist and physiologist, in experiments on the thresholds of perception of lifted weights. A theoretical rationale (not universally accepted) was subsequently provided by 269:
The JND is typically tested by playing two tones in quick succession with the listener asked if there was a difference in their pitches. The JND becomes smaller if the two tones are played
124: 277:. The total number of perceptible pitch steps in the range of human hearing is about 1,400; the total number of notes in the equal-tempered scale, from 16 to 16,000 Hz, is 120. 255:
In music production, a single change in a property of sound which is below the JND does not affect perception of the sound. For amplitude, the JND for humans is around 1 
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so that negative changes (e.g. reductions in product size or quality, or increase in product price) are not discernible to the public (i.e. remain below JND) and
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50% of trials. If a different proportion is used, this should be included in the description—for example one might report the value of the "75% JND".
201:. It is true, at least to a good approximation, of many but not all sensory dimensions, for example the brightness of lights, and the intensity and the 227:, that raises the stimulus to a constant power while, like Weber, also multiplying it by a constant factor in order to achieve the perceived stimulus. 223:
continua, where change of input produces a qualitative rather than a quantitative change of the percept. Stevens developed his own law, called
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consciously experienced 'sensations'. This 50%-discriminated disparity can be used as a universal unit of measurement of the
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is the amount something must be changed in order for a difference to be noticeable, detectable at least half the time. This
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Richardson, N.; Booth, D.A. (1993), "Multiple physical patterns in judgements of the creamy texture of milks and creams",
306:. Manufacturers and marketers endeavor to determine the relevant JND for their products for two very different reasons: 217:, where change of input takes the form of increase in intensity or something obviously analogous; it would not hold for 900: 294:
increase is perceptually the same size difference, regardless of whether one starts at 20Hz or at 2000Hz).
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among hypothesised information-transforming (mental) processes mediating observed quantitative judgments.
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Booth, D.A.; Freeman, R.P.J. (1993), "Discriminative measurement of feature integration",
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Middlebrooks, John C.; Green, David M. (1991). "Sound Localization by Human Listeners".
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proportion/percentage of the reference level). Measured in physical units, we have:
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Ritsma, R. J. (1965), "Pitch discrimination and frequency discrimination",
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Rakowski, A. (1971), "Pitch discrimination at the threshold of hearing",
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Nordmark, Jan O. (1968). "Mechanisms of Frequency Discrimination".
348: 189:, so the rule is therefore known either as the Weber Law or as the 173:
is the addition to it required for the change to be perceived (the
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of sounds. It is not true, however, for the wavelength of light.
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more than 3 semitones play a part in communicative situations".
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Mills, A. W. (1960). "Lateralization of High‐Frequency Tones".
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Proceedings of the Seventh International Congress on Acoustics
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Proceedings of the Fifth International Congress on Acoustics
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is the original intensity of the particular stimulation,
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Bachem, A. (1937). "Various Types of Absolute Pitch".
420: 155: 134: 91: 558: 543: 432: 743: 498: 719:"Chromaticity sensibility to stimulus differences" 531: 519: 209:argued that it would hold only for what he called 165: 141: 118: 766: 474: 181:is a constant. This rule was first discovered by 162: 138: 1014: 958:The Journal of the Acoustical Society of America 843:The Journal of the Acoustical Society of America 806:The Journal of the Acoustical Society of America 608:The Journal of the Acoustical Society of America 480: 250: 234:Modern approaches to psychophysics, for example 27:Amount a stimulus must be changed to be detected 918: 462: 744:Kollmeier, B.; Brand, T.; Meyer, B. (2008). 642: 450: 955: 576: 414:"Weber's Law of Just Noticeable Difference" 302:Weber's law has important applications in 1000: 914:, vol. 3 20H6, Budapest, p. 376 438: 297: 909: 840: 564: 552: 406: 273:as the listener is then able to discern 119:{\displaystyle {\frac {\Delta I}{I}}=k,} 364:Minimal clinically important difference 321: 280: 14: 1015: 946: 750:Springer handbook of speech processing 605: 537: 525: 885: 803: 513: 486: 716: 426: 781:10.1146/annurev.ps.42.020191.001031 24: 156: 95: 25: 1039: 499:Kollmeier, Brand & Meyer 2008 77: 746:"Perception of Speech and Sound" 892:Music, Physics and Engineering 13: 1: 1001:Torgerson, Warren S. (1958). 475:Middlebrooks & Green 1991 416:. University of South Dakota. 394: 251:Music production applications 933:10.1016/0001-6918(93)90075-3 674:IEEE Transactions on Haptics 657:10.1016/0001-6918(93)90068-3 399: 72:least perceptible difference 7: 769:Annual Review of Psychology 463:Richardson & Booth 1993 337: 10: 1044: 598: 166:{\displaystyle \Delta I\!} 52:just-noticeable difference 18:Just noticeable difference 516:, pp. 171, 248–251. 451:Booth & Freeman 1993 717:Judd, Deane B. (1931). 236:signal detection theory 32:experimental psychology 951:, vol. B22, Liège 895:. Dover Publications. 737:10.1364/JOSA.22.000072 298:Marketing applications 244:psychological distance 167: 143: 120: 589:Feyzabadi et al. 2013 374:Psychometric function 207:Stanley Smith Stevens 168: 144: 121: 62:is also known as the 591:, pp. 309, 319. 322:Haptics applications 281:In speech perception 183:Ernst Heinrich Weber 153: 132: 89: 68:difference threshold 970:1981ASAJ...69..811T 855:1968ASAJ...44.1533N 818:1960ASAJ...32..132M 620:1937ASAJ....9..146B 142:{\displaystyle I\!} 1004:Methods of Scaling 686:10.1109/TOH.2013.4 429:, pp. 72–108. 344:Absolute threshold 225:Stevens' Power Law 163: 139: 116: 46:, which is called 921:Acta Psychologica 863:10.1121/1.1911293 826:10.1121/1.1907864 759:978-3-540-49125-5 645:Acta Psychologica 628:10.1121/1.1915919 389:Weber–Fechner law 384:Visual perception 379:Sensor resolution 191:Weber–Fechner law 105: 30:In the branch of 16:(Redirected from 1035: 1008: 997: 978:10.1121/1.385592 952: 943: 915: 906: 882: 849:(6): 1533–1540. 837: 800: 763: 740: 713: 667: 639: 592: 586: 580: 574: 568: 562: 556: 550: 541: 535: 529: 523: 517: 511: 502: 496: 490: 484: 478: 472: 466: 460: 454: 448: 442: 436: 430: 424: 418: 417: 410: 369:Mutatis mutandis 354:Color difference 275:beat frequencies 172: 170: 169: 164: 148: 146: 145: 140: 125: 123: 122: 117: 106: 101: 93: 64:difference limen 21: 1043: 1042: 1038: 1037: 1036: 1034: 1033: 1032: 1013: 1012: 1011: 903: 887:Olson, Harry F. 760: 601: 596: 595: 587: 583: 575: 571: 563: 559: 551: 544: 536: 532: 524: 520: 512: 505: 497: 493: 485: 481: 473: 469: 461: 457: 449: 445: 437: 433: 425: 421: 412: 411: 407: 402: 397: 340: 324: 300: 283: 253: 193:; the constant 154: 151: 150: 133: 130: 129: 94: 92: 90: 87: 86: 80: 28: 23: 22: 15: 12: 11: 5: 1041: 1031: 1030: 1025: 1010: 1009: 998: 964:(3): 811–821. 953: 944: 916: 907: 901: 883: 838: 812:(1): 132–134. 801: 775:(1): 135–159. 764: 758: 741: 714: 680:(3): 309–319. 668: 640: 614:(2): 146–151. 602: 600: 597: 594: 593: 581: 579:, p. 811. 569: 557: 542: 530: 518: 503: 491: 479: 467: 455: 443: 439:Torgerson 1958 431: 419: 404: 403: 401: 398: 396: 393: 392: 391: 386: 381: 376: 371: 366: 361: 356: 351: 346: 339: 336: 323: 320: 315: 314: 311: 299: 296: 282: 279: 271:simultaneously 252: 249: 199:Weber constant 197:is called the 187:Gustav Fechner 161: 158: 137: 115: 112: 109: 104: 100: 97: 79: 78:Quantification 76: 26: 9: 6: 4: 3: 2: 1040: 1029: 1028:Psychophysics 1026: 1024: 1021: 1020: 1018: 1007:. John Wiley. 1006: 1005: 999: 995: 991: 987: 983: 979: 975: 971: 967: 963: 959: 954: 950: 945: 942: 938: 934: 930: 927:(1): 93–101, 926: 922: 917: 913: 908: 904: 902:0-486-21769-8 898: 894: 893: 888: 884: 880: 876: 872: 868: 864: 860: 856: 852: 848: 844: 839: 835: 831: 827: 823: 819: 815: 811: 807: 802: 798: 794: 790: 786: 782: 778: 774: 770: 765: 761: 755: 751: 747: 742: 738: 734: 731:(2): 72–108. 730: 726: 725: 720: 715: 711: 707: 703: 699: 695: 691: 687: 683: 679: 675: 669: 666: 662: 658: 654: 650: 646: 641: 637: 633: 629: 625: 621: 617: 613: 609: 604: 603: 590: 585: 578: 573: 566: 565:Rakowski 1971 561: 554: 553:Nordmark 1968 549: 547: 539: 534: 527: 522: 515: 510: 508: 501:, p. 65. 500: 495: 488: 483: 476: 471: 464: 459: 452: 447: 440: 435: 428: 423: 415: 409: 405: 390: 387: 385: 382: 380: 377: 375: 372: 370: 367: 365: 362: 360: 357: 355: 352: 350: 347: 345: 342: 341: 335: 332: 328: 319: 312: 309: 308: 307: 305: 295: 291: 287: 278: 276: 272: 267: 265: 260: 258: 248: 245: 239: 237: 232: 228: 226: 222: 221: 216: 212: 208: 204: 200: 196: 192: 188: 184: 180: 176: 159: 135: 126: 113: 110: 107: 102: 98: 84: 75: 73: 69: 65: 61: 57: 53: 49: 48:psychophysics 45: 41: 37: 33: 19: 1003: 961: 957: 948: 924: 920: 911: 891: 846: 842: 809: 805: 772: 768: 752:. Springer. 749: 728: 722: 677: 673: 648: 644: 611: 607: 584: 577:'t Hart 1981 572: 560: 533: 521: 494: 482: 470: 458: 446: 434: 422: 408: 325: 316: 301: 292: 288: 284: 268: 261: 254: 240: 233: 229: 218: 210: 198: 194: 178: 174: 127: 85: 81: 71: 67: 63: 55: 51: 29: 651:(1): 1–16, 538:Ritsma 1965 526:Bachem 1937 329:is used in 327:Weber's law 34:focused on 1023:Perception 1017:Categories 514:Olson 1967 487:Mills 1960 395:References 220:metathetic 44:perception 986:0001-4966 871:0001-4966 834:0001-4966 789:0066-4308 694:1939-1412 636:0001-4966 427:Judd 1931 400:Citations 304:marketing 211:prothetic 157:Δ 96:Δ 40:sensation 889:(1967). 710:25749906 702:24808327 349:ABX test 338:See also 215:continua 213:sensory 994:7240562 966:Bibcode 941:8237459 879:5702028 851:Bibcode 814:Bibcode 797:2018391 665:8237449 616:Bibcode 599:Sources 177:), and 992:  984:  939:  899:  877:  869:  832:  795:  787:  756:  708:  700:  692:  663:  634:  331:haptic 128:where 42:, and 706:S2CID 359:Limen 264:cents 203:pitch 70:, or 60:limen 36:sense 990:PMID 982:ISSN 937:PMID 897:ISBN 875:PMID 867:ISSN 830:ISSN 793:PMID 785:ISSN 754:ISBN 724:JOSA 698:PMID 690:ISSN 661:PMID 632:ISSN 50:, a 974:doi 929:doi 859:doi 822:doi 777:doi 733:doi 682:doi 653:doi 624:doi 266:). 175:JND 56:JND 54:or 1019:: 988:. 980:. 972:. 962:69 960:. 935:, 925:84 923:, 873:. 865:. 857:. 847:44 845:. 828:. 820:. 810:32 808:. 791:. 783:. 773:42 771:. 729:22 727:. 721:. 704:. 696:. 688:. 676:. 659:, 649:84 647:, 630:. 622:. 610:. 545:^ 506:^ 259:. 257:dB 74:. 66:, 38:, 996:. 976:: 968:: 931:: 905:. 881:. 861:: 853:: 836:. 824:: 816:: 799:. 779:: 762:. 739:. 735:: 712:. 684:: 678:6 655:: 638:. 626:: 618:: 612:9 567:. 555:. 540:. 528:. 489:. 477:. 465:. 453:. 441:. 195:k 179:k 160:I 136:I 114:, 111:k 108:= 103:I 99:I 20:)

Index

Just noticeable difference
experimental psychology
sense
sensation
perception
psychophysics
limen
Ernst Heinrich Weber
Gustav Fechner
Weber–Fechner law
pitch
Stanley Smith Stevens
continua
metathetic
Stevens' Power Law
signal detection theory
psychological distance
dB
cents
simultaneously
beat frequencies
marketing
Weber's law
haptic
Absolute threshold
ABX test
Color difference
Limen
Minimal clinically important difference
Mutatis mutandis

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