Calculates confidence interval shape.

shape(lo, thetahat, up)

Arguments

lo

Numeric. Lower limit of the estimated confidence interval \(\left( \hat{\theta}_{\mathrm{lo}} \right)\).

thetahat

Numeric. Parameter estimate \( \left( \hat{ \theta } \right) \) .

up

Numeric. Upper limit of the estimated confidence interval \(\left( \hat{\theta}_{\mathrm{up}} \right)\).

Details

The confidence interval shape is given by $$ \mathrm{ confidence \ interval \ shape } = \frac{ \hat{ \theta }_{ \mathrm{ up } } - \hat{ \theta } } { \hat{ \theta } - \hat{ \theta }_{ \mathrm{ lo } } } $$

The shape measures the asymmetry of the confidence interval around the point estimate \( \hat{ \theta } \). Shape \( > 1.00 \) is indicative of greater distance between \( \hat{ \theta }_{ \mathrm{ up } } \) and \( \hat{ \theta } \) than \( \hat{ \theta } \) and \( \hat{ \theta }_{ \mathrm{ lo } } \) .

See also

Other confidence intervals functions: bcaci(), bcci(), evalci(), len(), pcci(), theta_hit(), zero_hit()

Author

Ivan Jacob Agaloos Pesigan