1991
DOI: 10.1111/j.1752-1688.1991.tb01446.x
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MULTIVARIATE TREND TESTING OF LAKE WATER QUALITY1

Abstract: Multivariate methods of trend analysis offer the potential for higher power in detecting gradual water quality changes as compared to multiple applications of umvariate tests. Simulation experiments were used to investigate the power advantages of multivariate methods for both linear model and Mann-Kendall based approaches. The experiments focused on quarterly observations of three water quality variables with no serial correlation and with several different intervariable correlation structures. The multivaria… Show more

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Cited by 34 publications
(17 citation statements)
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“…For trend analyses, Seasonal Kendall with Covariance Inversion for correction of serial correlation, described by Loftis et al (1991) was used to test the significance of trends. This non-parametric method was used since the data were autocorrelated in time with a strong seasonal variation.…”
Section: Methodsmentioning
confidence: 99%
“…For trend analyses, Seasonal Kendall with Covariance Inversion for correction of serial correlation, described by Loftis et al (1991) was used to test the significance of trends. This non-parametric method was used since the data were autocorrelated in time with a strong seasonal variation.…”
Section: Methodsmentioning
confidence: 99%
“…An advantage of the Dietz-Killeen method is that it is unaffected by the directions of the individual univariate trends, up or down. Use of multivariate methods "controls the overall significance level" and there were very few cases in a study of lake water quality "where the univariate methods perform better" (Loftis et al 1991b). Dietz and Killeen (1981) also note that their multivariate test was able to reject H when separate univariate …”
Section: Commentsmentioning
confidence: 99%
“…(after Loftis et al 1991b) Table 10 shows selected output from a computer program (in R) applied to the cod indices, ages 1 to 6, for 1983 to 2004: the Mann-Kendall statistics (K); their covariances (V), and the Spearman rank correlations of the observed values. The highest correlations occur among the older age groups.…”
Section: Dietz and Killeen Test For Multivariate Monotone Trendmentioning
confidence: 99%
“…Multivariate tests also control the overall Type I error rate. Descriptions and comparisons of multivariate hypothesis tests can be found in Loftis et al 55 …”
Section: % Significant Detectionsmentioning
confidence: 99%