Thurstonian Scaling for Sensory Discrimination Methods
Thurstonian scaling, i.e., Thurstonian discriminal distance <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>δ</mi></mrow></semantics></math></inline-formula> or <...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2025-01-01
|
| Series: | Applied Sciences |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2076-3417/15/2/991 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832589204535640064 |
|---|---|
| author | Jian Bi Carla Kuesten |
| author_facet | Jian Bi Carla Kuesten |
| author_sort | Jian Bi |
| collection | DOAJ |
| description | Thurstonian scaling, i.e., Thurstonian discriminal distance <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>δ</mi></mrow></semantics></math></inline-formula> or <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>d</mi><mo>′</mo></msup></semantics></math></inline-formula>, can be used as a sensory measurement index to measure and monitor food sensory difference/similarity between test and control samples due to potential food contamination. It can be obtained from any one of the sensory discrimination methods. Thurstonian scaling is theoretically independent of the methods or scales used for its estimation. This paper discusses statistical inference including estimations and tests of hypothesis for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>d</mi><mo>′</mo></msup></semantics></math></inline-formula>. Ten basic sensory discrimination methods including six forced-choice methods and four methods with response bias are used in this paper to estimate <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>d</mi><mo>′</mo></msup></semantics></math></inline-formula> values and their variances. Statistical tests are conducted based on the estimated <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>d</mi><mo>′</mo></msup></semantics></math></inline-formula> values and their variances. The statistical tests include difference testing and equivalence/similarity testing for individual <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>d</mi><mo>′</mo></msup></semantics></math></inline-formula> values for test and control samples and for two or multiple <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>d</mi><mo>′</mo></msup></semantics></math></inline-formula> values for test samples. The application and significance of Thurstonian scaling for sensory discrimination methods are discussed generally. R codes for estimations and tests for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>d</mi><mo>′</mo></msup></semantics></math></inline-formula> values are provided in the paper. |
| format | Article |
| id | doaj-art-a0ab8ef73a4e41ef8808db02888a7b06 |
| institution | Kabale University |
| issn | 2076-3417 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj-art-a0ab8ef73a4e41ef8808db02888a7b062025-01-24T13:21:36ZengMDPI AGApplied Sciences2076-34172025-01-0115299110.3390/app15020991Thurstonian Scaling for Sensory Discrimination MethodsJian Bi0Carla Kuesten1Sensometrics Research and Service, Richmond, VA 23236, USAKuesten Sensory Perception Research, LLC, Richland, MI 49083, USAThurstonian scaling, i.e., Thurstonian discriminal distance <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>δ</mi></mrow></semantics></math></inline-formula> or <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>d</mi><mo>′</mo></msup></semantics></math></inline-formula>, can be used as a sensory measurement index to measure and monitor food sensory difference/similarity between test and control samples due to potential food contamination. It can be obtained from any one of the sensory discrimination methods. Thurstonian scaling is theoretically independent of the methods or scales used for its estimation. This paper discusses statistical inference including estimations and tests of hypothesis for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>d</mi><mo>′</mo></msup></semantics></math></inline-formula>. Ten basic sensory discrimination methods including six forced-choice methods and four methods with response bias are used in this paper to estimate <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>d</mi><mo>′</mo></msup></semantics></math></inline-formula> values and their variances. Statistical tests are conducted based on the estimated <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>d</mi><mo>′</mo></msup></semantics></math></inline-formula> values and their variances. The statistical tests include difference testing and equivalence/similarity testing for individual <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>d</mi><mo>′</mo></msup></semantics></math></inline-formula> values for test and control samples and for two or multiple <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>d</mi><mo>′</mo></msup></semantics></math></inline-formula> values for test samples. The application and significance of Thurstonian scaling for sensory discrimination methods are discussed generally. R codes for estimations and tests for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>d</mi><mo>′</mo></msup></semantics></math></inline-formula> values are provided in the paper.https://www.mdpi.com/2076-3417/15/2/991discriminal distance <i>d</i>′statistical inference for <i>d</i>′difference testingequivalence/similarity testing |
| spellingShingle | Jian Bi Carla Kuesten Thurstonian Scaling for Sensory Discrimination Methods Applied Sciences discriminal distance <i>d</i>′ statistical inference for <i>d</i>′ difference testing equivalence/similarity testing |
| title | Thurstonian Scaling for Sensory Discrimination Methods |
| title_full | Thurstonian Scaling for Sensory Discrimination Methods |
| title_fullStr | Thurstonian Scaling for Sensory Discrimination Methods |
| title_full_unstemmed | Thurstonian Scaling for Sensory Discrimination Methods |
| title_short | Thurstonian Scaling for Sensory Discrimination Methods |
| title_sort | thurstonian scaling for sensory discrimination methods |
| topic | discriminal distance <i>d</i>′ statistical inference for <i>d</i>′ difference testing equivalence/similarity testing |
| url | https://www.mdpi.com/2076-3417/15/2/991 |
| work_keys_str_mv | AT jianbi thurstonianscalingforsensorydiscriminationmethods AT carlakuesten thurstonianscalingforsensorydiscriminationmethods |