Deming regression: Difference between revisions

Revision as of 10:16, 26 November 2023

Revision as of 15:14, 26 November 2023

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Finally, the least-squares estimates of model's parameters will be{{sfn|Glaister|2001}}

: <math>\begin{align}

& \hat\beta_1 = \frac{s_{yy}-\delta s_{xx} + \sqrt{(s_{yy}-\delta s_{xx})^2 + 4\delta s_{xy}^2}}{2s_{yxy}}, \\

& \hat\beta_0 = \overline{y} - \hat\beta_1\overline{x}, \\

& \hat{x}_i^* = x_i + \frac{\hat\beta_1}{\hat\beta_1^2+\delta}(y_i-\hat\beta_0-\hat\beta_1x_i).