Facebook Instagram Twitter RSS Feed PodBean Back to top on side

Testing the general linear hypothesis via K. Pearson's chi-squared statistic

In: Mathematica Slovaca, vol. 59, no. 6
Lynn Roy Lamotte

Details:

Year, pages: 2009, 661 - 666
Keywords:
power, noncentrality parameter, alternative F statistics
About article:
In a linear model $\bm{Y}\sim(X\bm{β},σ2I)$, powers of tests of $\mathrm{H}0: H\prime X \bm{β}{=0}$ are developed following Pearson's (1900) formulation. The class considered comprises all tests based on linear statistics $A\prime\bm{Y}$ that have expected value $0$ under $\mathrm{H}0$. The standard $F$-statistic, which is in this class, has good power properties, but others may be preferred in some settings.
How to cite:
ISO 690:
Lamotte, L. 2009. Testing the general linear hypothesis via K. Pearson's chi-squared statistic. In Mathematica Slovaca, vol. 59, no.6, pp. 661-666. 0139-9918. DOI: https://doi.org/10.2478/s12175-009-0154-z

APA:
Lamotte, L. (2009). Testing the general linear hypothesis via K. Pearson's chi-squared statistic. Mathematica Slovaca, 59(6), 661-666. 0139-9918. DOI: https://doi.org/10.2478/s12175-009-0154-z
About edition: