## A One Degree of Freedom Test that Regression of Y on X is Linear Against the Alternative that Regression is a Logarithm of a Linear Function of X |

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### Contents

Definition for the Class of Transformation | 6 |

Literature Cited | 32 |

and lim pjjnl7r +1 Xr 1 Xr Vi are all finite | 37 |

1 other sections not shown

### Common terms and phrases

additive model Appendix applying 1'Hospital's rule approaches zero Biometrics Unit class of alternatives class of transformations Cornell University defined degree of freedom Derivation of lim design matrix E X i=0 E(Yi/Xi entire class equa equals lim equation 21 equation 37 Error Terms finding lim finite freedom sum freedom test Hence i=l i=l improves the fit infinite limit Iteration methods lim a(p lim pŁn lim p3e lim r2 limit into equation limiting form limiting points linear function linear model linear regression model lira Master of Science N E X2 non-linear moment equations noncentrality parameter nonlinear estimation equations null hypothesis p-CT rationale residuals Robson sides of equation simple linear regression single degree Snedecor solving the non-linear squared correlation coefficient sum of squares Take derivative Take the limit Taking limits test for non-additivity three limiting values tion Tukey's test type of 0/0 undefined type Vz(Y