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Media type:
E-Article
Title:
A SIMPLE CHI-SQUARE TEST
Contributor:
DITLEVSEN, OVE
imprint:
OSLO, 1964
Published in:Nordisk Matematisk Tidskrift
Language:
English
ISSN:
0029-1412
Origination:
Footnote:
Description:
<p>Consider distributions of the continuous type with piece by piece continuous density functions. Corresponding to a sample x1,x2,...,xn taken from populations with distribution functions F(x)m or 1–[1–F(x)]m, the random variables $-2\mathrm{m}\sum _{\mathrm{i}=1}^{\mathrm{n}}\mathrm{ln}\mathrm{F}\left({\mathrm{x}}_{\mathrm{i}}\right)$ or $-2\mathrm{m}\sum _{\mathrm{i}=1}^{\mathrm{n}}\mathrm{ln}[1-\mathrm{F}\left({\mathrm{x}}_{\mathrm{i}}\right)]$ are distributed like χ2 with 2n degrees of freedom. These random variables are proposed as test statistics. The power of the test is investigated on a family of exponential distributions and on the uniform distribution against the beta distribution.</p>