Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Bücher
Zeitschriften
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
MTZ-Fachkongress

Antriebe und Energiesysteme von morgen


Austausch von Automobil- und Energiewirtschaft

Am 14./15. Mai geht es in Chemnitz um die Mobilitätswende durch Elektro- und Wasserstofffahrzeuge.
Erweiterte Suche
Anmelden
nach oben
Measurement Techniques
Erschienen in: Measurement Techniques 5/2017

18.08.2017

Application and Power of Parametric Criteria for Testing the Homogeneity of Variances. Part IV

verfasst von: B. Yu. Lemeshko, T. S. Sataeva

Erschienen in: Measurement Techniques | Ausgabe 5/2017

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

The application of parametric criteria for testing the homogeneity of variances (Bartlett, Cochran, Fisher, Hartley, Levene, Neyman–Pearson, O’Brien, Link, Newman, Bliss–Cochran–Tukey, Cadwell–Leslie–Brown, the Overall–Woodward Z-test and modified Z-test) is examined, including under conditions such that the standard assumption of normality is violated. A comparative analysis is made of the power of the criteria. The permissible level of significance is estimated for the case in which the distributions of the statistics for the applied tests are unknown.
Vorheriger Artikel Development of the Concept of Uncertainty in Measurement and Revision of the Guide to the Expression of Uncertainty in Measurement. Part 2. Comparative Analysis of Basic Provisions of the Guide and Their Planned Changes
Nächster Artikel Modeling, Reproduction, and Mapping of Geofields with and Without Measurement Noise. Part 4. Spline, Geostatistical, and Fuzzy Regression Analysis Techniques

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Jetzt informieren
Literatur
1.
B. Yu. Lemeshko and T. S. Sataeva, “Application and power of parametric criteria for testing the homogeneity of variances, Part 3,” Izmer. Tekhn., No. 1, 8–13 (2017).
2.
B. Yu. Lemeshko, S. B. Lemeshko, and A. A. Gorbunova, “Application and power of criteria for testing the homogeneity of variances. Part I. Parametric criteria,” Izmer. Tekhn., No. 3, 10–16 (2010).
3.
B. Yu. Lemeshko, S. B. Lemeshko, and A. A. Gorbunova, “Application and power of criteria for testing the homogeneity of variances. Part 2. Nonparametric criteria,” Izmer. Tekhn., No. 5, 11–18 (2010).
4.
A. I. Kobzar’, Applied Mathematical Statistics for Engineers and Scientific Workers, FIZMATLIT, Moscow (2006).
5.
R. G. O’Brien, “Robust techniques for testing heterogeneity of variance effects in factorial designs,” Psychometrika, 43, No. 3, 327–342 (1978).
6.
R. F. Link, “The sampling distribution of the ratio of two ranges from independent samples,” Ann. Math. Stat., 21, No. 1, 112–116 (1950).MathSciNetCrossRefMATH
7.
D. Newman, “The distribution of range in samples from a normal population, expressed in terms of an independent estimate of standard deviation,” Biometrika, 31, 20–30 (1939).MathSciNetCrossRefMATH
8.
C. I. Bliss, W. G. Cochran, and J. W. Tukey, “A rejection criterion based upon the range,” Biometrika, 43, 418–422 (1956).CrossRefMATH
9.
R. T. Leslie and B. M. Brown, “Use of range in testing heterogeneity of variance,” Biometrika, 53, 221–227 (1966).MathSciNetCrossRef
10.
J. E. Overall and J. A. Woodward, “A simple test for heterogeneity of variance in complex factorial design,” Psychometrica, 39, 311–318 (1974).CrossRefMATH
11.
J. E. Overall and J. A. Woodward, A Robust and Powerful Test for Heterogeneity of Variance, Univ. of Texas Med. Branch Psychometric Lab. (1976).
12.
M. S. Bartlett, “Properties of sufficiency of statistical tests,” Proc. Roy. Soc. A., 160, 268–287 (1937).ADSCrossRefMATH
13.
W. G. Cochran, “The distribution of the largest of a set of estimated variances as a fraction of their total,” Ann. Eugenics, 11, 47–52 (1941).MathSciNetCrossRefMATH
14.
L. N. Bol’shev and N. V. Smirnov, Tables of Mathematical Statistics, Nauka, Moscow (1983).MATH
15.
H. O. Hartley, “The maximum F-ratio as a short-cut test of heterogeneity of variance,” Biometrika, 37, 308–312 (1950).MathSciNetMATH
16.
H. Levene, “Robust tests for equality of variances,” Contributions to Probability and Statistics: Essays in Honor of Harold Hotelling (1960), pp. 278–292.
17.
18.
19.
S. Siegel and J. W. Tukey, “A nonparametric sum of rank procedure for relative spread in unpaired samples,” J. Amer. Stat. Ass., 55, No. 291, 429–445 (1960).MathSciNetCrossRefMATH
20.
21.
M. A. Fligner and T. J. Killeen, “Distribution-free two-sample tests for scale,” J. Amer. Stat. Ass., 71, No. 353, 210–213 (1976).MathSciNetCrossRefMATH
22.
B. Yu. Lemeshko, Criteria for Testing the Deviation of a Distribution from Normal. Guidance for Applications, INFRA-M, Moscow (2015), DOI 10.1273/6086.
23.
A. A. Gorbunova and B. Yu. Lemeshko, “Application of variance homogeneity tests under violation of normality assumption,” in: Proc. lnt. Workshop Applied Methods of Statistical Analysis. Simulations and Statistical Inference, AMSA’2011, Novosibirsk, Russia, Sept. 20–22, 2011, pp. 28–36.
24.
B. Yu. Lemeshko, S. B. Lemeshko, and A. P. Rogozhnikov, “Real-time studying of statistic distributions of non-parametric goodness-of-fit tests when testing complex hypotheses,” ibid., pp. 19–27.
25.
B. Yu. Lemeshko, A. A. Gorbunova, S. B. Lemeshko, and A. P. Rogozhnikov, “Application of nonparametric goodness-of-fit tests for composite hypotheses in case of unknown distributions of statistics,” in: Proc. Int. Workshop Applied Methods of Statistical Analysis. Applications in Survival Analysis, Reliability and Quality Control, AMSA’2013, Novosibirsk, Russia, Sept. 25–27, 2013, pp. 8–24.
26.
B. Yu. Lemeshko and S. N. Postovalov, Computer Technologies for Data Analysis and Studies of Statistical Behavior: Textbook, NGTU, Novosibirsk (2004).MATH
27.
28.
B. Yu. Lemeshko, “On the identification of a distribution law for the random component of measurement error,” Metrologiya, No. 7, 8–17 (2004).
Metadaten
Titel
Application and Power of Parametric Criteria for Testing the Homogeneity of Variances. Part IV
verfasst von
B. Yu. Lemeshko
T. S. Sataeva
Publikationsdatum
18.08.2017
Verlag
Springer US
Erschienen in
Measurement Techniques / Ausgabe 5/2017
Print ISSN: 0543-1972
Elektronische ISSN: 1573-8906
DOI
https://doi.org/10.1007/s11018-017-1213-4

Weitere Artikel der Ausgabe 5/2017

Measurement Techniques 5/2017 Zur Ausgabe

ELECTROMAGNETIC MEASUREMENTS

Measurement of Magnetic Susceptibility and Curie Constants of Colloidal Solutions in Ferrofluid Cells by the Nuclear Magnetic Resonance Method

OriginalPaper

Analysis of the Conditions for Determining the Thermal Diffusivity of Organic Liquids by the Laser Pulse Method

OriginalPaper

Linearization of the Positional Characteristics of a Fiber-Optic Transducer Based on the Magneto-Optical Effect

RADIO MEASUREMENTS

Water Vapor Radiometer: Measuring Instrument of Atmospheric Brightness Temperature

OPTOPHYSICAL MEASUREMENTS

Multicriteria Evaluation of the Uniformity of the Energy Density Distribution of Laser Beams

LINEAR AND ANGULAR MEASUREMENTS

Algorithm for Constructing a Morphological Disk Filter for Analyzing Surface Roughness