NOTE ON GOODNESS-OF-FIT STATISTICS FOR PROBIT AND LOGIT MODELS

In the case of models designed to explain the choice among a finite set of alternatives, a number of goodness-of-fit statistics have been reported. This paper is primarily concerned with the properties of one of these statistics, the likelihood ratio index. By comparing the likelihood ratio index with some of the other statistics and by examining its mathematical properties, it is concluded that the index has desirable properties in binary and multinomial situations. It is shown that the minimum value of this likelihood ratio index depends on the relative proportions of sampled individuals selecting the various alternatives, contrary to the expectation of a zero minimum value. The dependence on the sampled proportions also prevents comparison of indices resulting from different samples.

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/00494488
• Corporate Authors:

  Elsevier

  Radarweg 29
  Amsterdam,   Netherlands  1043 NX
• Authors:
  • TARDIFF, T J
• Publication Date: 1976-12

Media Info

• Features: References;
• Pagination: p. 377-388
• Serial:
  • Transportation (Netherlands)
  • Volume: 5
  • Issue Number: 4
  • Publisher: Martinus Nijhoff Publishers
  • ISSN: 0049-4488

Subject/Index Terms

• TRT Terms: Alternatives analysis; Logits; Mathematical models; Proportion; Ratios; Routes; Sampling; Statistical analysis; Statistics; Transportation
• Old TRIS Terms: Indexes (Ratios); Resistance heating; Route analysis; Substitutes
• Subject Areas: Data and Information Technology; Planning and Forecasting; Transportation (General);

Filing Info

• Accession Number: 00153217
• Record Type: Publication
• Source Agency: Engineering Index
• Files: TRIS
• Created Date: Jun 17 1977 12:00AM