[ 0.5, 0.5, 5000, 5000, 0, 1, ], 'symmetric, upper quartile' => [ 0.503372494704, 0.75, 5000, 5000, 0, 1, ], 'symmetric, lower decile' => [ 0.493592345088, 0.1, 5000, 5000, 0, 1, ], 'symmetric, median, alpha = beta = 20000' => [ 0.5, 0.5, 20000, 20000, 0, 1, ], 'symmetric, scaled to [1, 3]' => [ 2.006744989408, 0.75, 5000, 5000, 1, 3, ], 'beta = 1, closed form 0.5 ** (1 / alpha)' => [ 0.999861380173, 0.5, 5000, 1, 0, 1, ], 'beta = 1, just above the onset' => [ 0.999370064692, 0.5, 1100, 1, 0, 1, ], 'right-skewed, alpha >> beta' => [ 0.999866312606, 0.5, 20000, 3, 0, 1, ], 'left-skewed, beta >> alpha' => [ 0.000133687394, 0.5, 3, 20000, 0, 1, ], 'moderately large alpha' => [ 0.973403556565, 0.25, 2000, 50, 0, 1, ], 'alpha so large that the quantile rounds to 1' => [ 1.0, 0.5, 1.0e20, 3, 0, 1, ], 'huge symmetric shapes still give the median' => [ 0.5, 0.5, 1.0e20, 1.0e20, 0, 1, ], 'alpha + beta beyond the range incompleteBeta will evaluate' => [ '#NUM!', 0.5, 2.0e305, 1.0e305, 0, 1, ], 'alpha < 0' => [ '#NUM!', 0.2, -4, 5, 0, 1, ], 'alpha = 0' => [ '#NUM!', 0.2, 0, 5, 0, 1, ], 'beta < 0' => [ '#NUM!', 0.2, 4, -5, 0, 1, ], 'beta = 0' => [ '#NUM!', 0.2, 4, 0, 0, 1, ], 'Probability < 0' => [ '#NUM!', -0.5, 4, 5, 1, 3, ], 'Probability = 0' => [ '#NUM!', 0.0, 4, 5, 1, 3, ], 'Probability > 1' => [ '#NUM!', 1.5, 4, 5, 1, 3, ], 'Min = Max' => [ '#NUM!', 1, 4, 5, 1, 1, ], ];