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The use of the „studentized range” in connection with an analysis of variance

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Summary

A numerical example is given of the analysis of variance applied on yields per cabbage.

After having concluded from a F-test, that the varieties show significant differences, a discussion is given of a new method to decidewhich varieties are different.

The t-test though in frequent use, gives wrong conclusions. The method indicated in this article diverges from those discussed byNewman andTukey and is I suppose the more plausible.

Samenvatting

Het gebruik van de „studentized range” in verband met de variatieanalyse

Een rekenvoorbeeld wordt gegeven van de variatieanalyse toegepast op spitskoolopbrengstcijfers.

Na op grond van een F-test te hebben geconcludeerd dat de rassen duidelijke verschillen tonen, wordt een nieuwe methode besproken om uit te makenwelke rassen verschillen. Hoewel de t-test hiertoe geregeld gebruikt wordt geeft deze verkeerde uitkomsten. De aangegeven methode wijkt af van die welke doorNewman enTukey worden besproken en lijkt mij de meest voor de hand liggende van de drie.

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Keuls, M. The use of the „studentized range” in connection with an analysis of variance. Euphytica 1, 112–122 (1952). https://doi.org/10.1007/BF01908269

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  • DOI: https://doi.org/10.1007/BF01908269

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