×

zbMATH — the first resource for mathematics

A statistical model for shelf life estimation using sensory evaluations scores. (English) Zbl 1184.62223
Summary: This article focuses on the problem of estimating the shelf life of food products by modeling the results coming from sensory evaluations. In such studies, trained panelists are asked to judge food attributes by reference to a scale of numbers (scores varying often from 0 to 6). The usual statistical approach for data analysis is to fit a regression line relating the scores and the time of evaluation. The estimate of the shelf life is obtained by solving the regression equation and replacing the score by a cut-off point (which indicates product “failure”) previously chosen by the food company. The procedure used in these sensory evaluations is such that one never knows the exact “time to failure”. Consequently, data arising from these studies are either right or left censored. We propose a model which incorporates these informations and assumes a Weibull for the underlying distribution of the failure time. Simulation studies were implemented. The approach was used in a real data set coming from sensory evaluations of a dehydrated food product.

MSC:
62P99 Applications of statistics
62P30 Applications of statistics in engineering and industry; control charts
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Cox D. R., Theoretical Statistics (1974) · Zbl 0334.62003 · doi:10.1007/978-1-4899-2887-0
[2] Draper N., Applied Regression Analysis., 3. ed. (1998) · Zbl 1107.62341 · doi:10.1002/9781118625590
[3] DOI: 10.1111/j.1365-2621.1975.tb02211.x · doi:10.1111/j.1365-2621.1975.tb02211.x
[4] DOI: 10.1111/j.1365-2621.1975.tb02212.x · doi:10.1111/j.1365-2621.1975.tb02212.x
[5] Gacula M. C., Statistical Methods in Food and Consumer Research (1984)
[6] Jay James, M., Modern Food Micro-Biology., 4. ed. (1992)
[7] Kalbfleisch J. D., The Statistical Analysis of Failure Time Data (1992) · Zbl 0504.62096
[8] Lawless J. F., Statistical Models and Methods for Lifetime Data (1980) · Zbl 0541.62081
[9] Lee E. T., Statistical Methods for Survival Data Analysis., 2. ed. (1992)
[10] McCullagh P., Generalized Linear Models (1989) · Zbl 0744.62098 · doi:10.1007/978-1-4899-3242-6
[11] Meeker W. Q., Statistical Methods for Reliability Data (1998) · Zbl 0949.62086
[12] Nelson W., Accelerated Testing: Statistical Models, Test Plans and Data Analysis (1990)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.