Extended tables of critical values for Wilcoxon's test statistic

Verdooren, L.R.

doi:10.1093/biomet/50.1-2.177

Cited by 25 publications

(5 citation statements)

References 6 publications

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“…Exact percentiles of the distribution of Ware available for n , , n2 5 50 (e.g., Verdooren, 1963, Wilcoxon et ul., 1970. If we write it has been shown by Mann and Whitney (1947) If F ( x ) is symmetrical about the median, the studentized Wilcoxon statistic is asymptotically normal (0,l) under the null hypothesis (Sen, 1962).…”

Section: The Wilcoxon a N D Studentized Wilcoxon Tes't Criteriamentioning

confidence: 99%

A monte carlo study of the studentized wilcoxon statistic for the behrens- fisher problem

Fung

1979

Journal of Statistical Computation and Simulation

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Section: The Wilcoxon a N D Studentized Wilcoxon Tes't Criteriamentioning

confidence: 99%

A monte carlo study of the studentized wilcoxon statistic for the behrens- fisher problem

Fung

1979

Journal of Statistical Computation and Simulation

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“…Statistical analyses were performed on the arcsin values using the SAS programs (Service, 1972 (Verdooren, 1963). w X X…”

Section: Statistical Analysesmentioning

confidence: 99%

Vegetative propagation of Cynodon dactylon (L.) Pers. cv Coastcross-1 from stems /

Koster¹

1976

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LIST OF TABLES Data collection scheme for the study of the. macromorphology and quantity of plant material at different ages Characteristics of living stems in plant material of different ages Percentage of living stems with emerged roots and/or buds and/or three leaves on one node in plant material of different ages Correlations among morphological characteristics of stems in 4-week-old plant material. . Correlations among morphological characteristics of stems in 7-week-old plant material Correlations among morphological characteristics of stems in 12-week-old plant material Macromorphological stem classes were defined in plant material of i, 7 and 12 weeks. Large differences were found in mortality, leaf growth and root development between cuttings from different classes of stems. Development after planting was pcsiti\ely related to maximum xiii stem diameter, emergence of roots and other stem characteristics, which distinguished the stem classes. Thick stems were much superior to thin stems as propagating material under all growing conditions tested. The stem section from which cuttings were derived influenced development also. Stems with two or less nodes and diameters less than 1.3 mm developed slowly after planting even under optimum soil moisture. These stems comprised 75% of the stems, 42% cf the weight and 64% of the nodes of 4week-old plant material. Stems with diameters less than 1.6 mm and without emerged buds or roots comprised 60% of the stems, 30% of the weight and 50% of the nodes of 7-week-old plant material. Stems with diameters of 1.6 mm or larger accounted for 20% of the stems, 50% of the weight and 30% of the nodes of this material. Stems with diameters less than 1.6 mm and without emerged buds or roots comprised 25% of the 12-week-old plant material. Stems with a maximum diameter between 1.6 and 2.1 mm comprised another 25% of this material. The remainder of the material consisted of approximately equal parts of stems with diameters less than 1.3 mm or larger than 2,1 imn. Submergence of cuttings for one minute in 1000 ppm Ethrel increased root weight on mist-grown cuttings. Thirty to 100 ppm Ethrel increased weight of field-grown plants. Cuttings treated w'ith 3000 or 10,000 ppm Ethrel developed less well than untreated cuttings. Ethrel treatment effects were observed on five different plant materials. Maximum positive responses were observed in three of these materials from Ethrel xiv levels of 300 and 1000 ppm. These levels gave negative responses in the other two materials. Initially the propagule stems were integral parts of the new plants and were the only tissue connecting roots and leaves. The growth phase in which this condition prevailed was, however, invariably a short term one (about 6 weeks). Later, new rooted shoots developed from axillary buds. At that point, the propagule stem lost its significance as part of the new plant. XV CHAPTER 1

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“…Exact percentiles of the null distribution of W were obtained from Verdooren (1963) for m, n~25 and from Wilcoxon et al (1970) for m = n = 50. A normal approximation was used for m = n = 100.…”

Section: The Wilcoxon Test Wmentioning

confidence: 99%

Comparison of Some Two-Sample Location Tests for Non-Normal Alternatives

Afifi

Kim

1972

Journal of the Royal Statistical Society Series B: Statistical Methodology

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Summary Small to moderate sample size performance of the two‐sample χ2, Kolmogorov–Smirnov, Wilcoxon and F‐tests of location is investigated in a class of non‐normal distributions through Monte Carlo sampling. The class of distributions is that of mixtures of two normal distributions with different means and/or variances. The cases of mixtures considered represent part of the regions for types I, II, IV, VI and VII of the Pearson system of continuous distributions. The mixture distributions from which the samples are drawn differ only in means, and possess varying degrees of skewness and kurtosis. Based on the Monte Carlo results, the Wilcoxon and Kolmogorov–Smirnov tests generally have higher power than the F‐test, except for near normal underlying distributions where the F‐test is optimal. The power of the χ2 test is less than optimal except when the sample size is large.

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Extended tables of critical values for Wilcoxon's test statistic

Cited by 25 publications

References 6 publications

A monte carlo study of the studentized wilcoxon statistic for the behrens- fisher problem

A monte carlo study of the studentized wilcoxon statistic for the behrens- fisher problem

Vegetative propagation of Cynodon dactylon (L.) Pers. cv Coastcross-1 from stems /

Comparison of Some Two-Sample Location Tests for Non-Normal Alternatives

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