13.07.2015 Views

Global Goodness-of-Fit Tests in Logistic Regression with Sparse Data

Global Goodness-of-Fit Tests in Logistic Regression with Sparse Data

Global Goodness-of-Fit Tests in Logistic Regression with Sparse Data

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

... but what is the solution???- In pr<strong>in</strong>ciple it would seem preferable to accept thefailure <strong>of</strong> the chi-square limit and to use a moreaccurate approximation to the null distribution<strong>with</strong>out accumulat<strong>in</strong>g cells. (Lloyd, 1999)- Thus, to analyze lack <strong>of</strong> fit when explanatoryvariables are cont<strong>in</strong>uous, we apply goodness-<strong>of</strong>-fitstatistics and related residual measures by group<strong>in</strong>gobserved and fitted values for a partition <strong>of</strong> the space<strong>of</strong> explanatory variable values. (Agresti, 1989)- It is good statistical practice, however, not to rely oneither D or X 2 as an absolute measure <strong>of</strong> goodness <strong>of</strong>fit <strong>in</strong> these circumstances. It is much better to look forspecific deviations from the model <strong>of</strong> a type that iseasily understood scientifically. (McCullagh/Nelder,1989)O.Kuss, <strong>Global</strong> <strong>Goodness</strong>-<strong>of</strong>-<strong>Fit</strong> <strong>Tests</strong> <strong>in</strong> <strong>Logistic</strong> <strong>Regression</strong> <strong>with</strong> <strong>Sparse</strong> <strong>Data</strong>, 2.11.02

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!