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Maximum Likelihood and Firth Logistic Regression of the Pedestrian Route Choice

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  • Tae-Hyoung Tommy Gim
  • Joonho Ko

Abstract

To investigate how a pedestrian chooses a particular route in an urban center, this study analyzes the effects of individual and built environment characteristics on the route choice using binary logistic regression of 524 survey responses. Conducted in a strategic area, the survey, as often is the case, collects data that are skewed and face the separation issue—the same outcome always occurs for a particular value of a predictor—according to which estimates by the conventional maximum likelihood (ML) method are inflated. Thus, one mechanical and one statistical alternative are employed: (1) exclusion of a variable that causes separation and (2) estimation by Firth’s penalized method. The two alternatives produce comparable results of the significance testing, that is, p values, but their coefficient estimates considerably differ inasmuch as the mechanical approach used for the ML logistic regression forcefully omits the important variable and subsequently biases the estimates of other predictors. Compared to these ML estimates, empirical findings from the Firth logistic regression are presented in a way that corrects for the ML bias.

Suggested Citation

  • Tae-Hyoung Tommy Gim & Joonho Ko, 2017. "Maximum Likelihood and Firth Logistic Regression of the Pedestrian Route Choice," International Regional Science Review, , vol. 40(6), pages 616-637, November.
    • Handle: RePEc:sae:inrsre:v:40:y:2017:i:6:p:616-637
    DOI: 10.1177/0160017615626214
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    References listed on IDEAS

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    Cited by:

    1. Shatu, Farjana & Yigitcanlar, Tan & Bunker, Jonathan, 2019. "Shortest path distance vs. least directional change: Empirical testing of space syntax and geographic theories concerning pedestrian route choice behaviour," Journal of Transport Geography, Elsevier, vol. 74(C), pages 37-52.
    2. Shatu, Farjana & Yigitcanlar, Tan & Bunker, Jonathan, 2019. "Objective vs. subjective measures of street environments in pedestrian route choice behaviour: Discrepancy and correlates of non-concordance," Transportation Research Part A: Policy and Practice, Elsevier, vol. 126(C), pages 1-23.

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