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(1 + (n1/n2) x)^-(n1 + n2)/2}
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(1 + (n1/n2) x)^-(n1 + n2)/2}
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for \eqn{x > 0}.
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for \eqn{x > 0}.
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The F distribution's cumulative distribution function (\abbr{cdf}),
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The F distribution's cumulative distribution function (\abbr{cdf}),
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\eqn{F_{\nu_1,\nu_2}}{F_{n1,n2}} fulfills
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\eqn{F_{\nu_1,\nu_2}}{F_{n1,n2}} fulfills
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\bibcitep{|R:Abramowitz+Stegun:1972|section 26.6.2\, page 946}
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\bibcitep{|R:Abramowitz+Stegun:1972|page 946 in section 26.6.2}
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\eqn{F_{\nu_1,\nu_2}(qF) = 1 - I_x(\nu_2/2, \nu_1/2) = I_{1-x}(\nu_1/2, \nu_2/2),}{%
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\eqn{F_{\nu_1,\nu_2}(qF) = 1 - I_x(\nu_2/2, \nu_1/2) = I_{1-x}(\nu_1/2, \nu_2/2),}{%
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F_{n1,n2}(qF) = 1 - I_x(n2/2, n1/2) = I_{1-x}(n1/2, n2/2),} where
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F_{n1,n2}(qF) = 1 - I_x(n2/2, n1/2) = I_{1-x}(n1/2, n2/2),} where
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\eqn{x := \frac{\nu_2}{\nu_2 + \nu_1*qF}}{x := n2/(n2 + n1*qF)}, and
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\eqn{x := \frac{\nu_2}{\nu_2 + \nu_1*qF}}{x := n2/(n2 + n1*qF)}, and
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\eqn{I_x(a,b)} is the incomplete beta function; in \R, \eqn{=} \code{\link{pbeta}(x, a,b)}.
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\eqn{I_x(a,b)} is the incomplete beta function; in \R, \eqn{=} \code{\link{pbeta}(x, a,b)}.
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