A Comparison of Methods to Deteet Adulteration in Natural Products Under a Restricted Alternative

Barry Katz, M. B. Brown

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Multivariate statistical tests used to assess purity of natural food products, such as fruit juices, do not assume prior knowledge about the most likely causes of adulteration. We describe a likelihood ratio test that has a directional alternate hypothesis so that prior knowlege about the most likely method of adulteration can be utilized. Critical regions for this statistic are based on a nonparametric tolerance interval, which makes it insensitive to an assumption of multivariate normality. This new test is compared to two tests currently used for identifying adulterated samples. It is shown that the new test will have increased power relative to the other tests in the direction of the predicted adulteration.

Original languageEnglish (US)
Pages (from-to)639-648
Number of pages10
JournalBiometrical Journal
Volume31
Issue number6
DOIs
StatePublished - 1989

Fingerprint

Biological Products
Food
Alternatives
Alternate hypothesis
Likely
Tolerance Interval
Multivariate Tests
Multivariate Normality
Critical region
Fruit
Likelihood Ratio Test
Statistical test
Prior Knowledge
Statistic
Direction compound
Fruit and Vegetable Juices
Natural products

Keywords

  • Fruitjuice
  • Multivariate quality control
  • Restricted alternate hypothesis

ASJC Scopus subject areas

  • Statistics and Probability
  • Medicine(all)
  • Statistics, Probability and Uncertainty

Cite this

A Comparison of Methods to Deteet Adulteration in Natural Products Under a Restricted Alternative. / Katz, Barry; Brown, M. B.

In: Biometrical Journal, Vol. 31, No. 6, 1989, p. 639-648.

Research output: Contribution to journalArticle

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