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Approximates p-values for quadratic forms in normal variables using Liu's moment-matching method.

Usage

liu_pvalue(q, lambda)

Arguments

q

Test statistic (quadratic form value).

lambda

Vector of eigenvalues.

Value

Approximate p-value.

Details

This method matches the first four moments of the quadratic form to a chi-square distribution with appropriate degrees of freedom and non-centrality.

References

Liu, H., Tang, Y., and Zhang, H.H. (2009). A new chi-square approximation to the distribution of non-negative definite quadratic forms in non-central normal variables. Computational Statistics & Data Analysis.