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Data and Objective

The data are about lane change maneuvers. I want to predict the lane change duration of a driver of certain age and gender. Following is a very small subset of observations and variables in original data:

  • Dependent variable: duration of lane change (1 observation per driver).
  • Independent variables: speed of vehicle (multiple obs per driver i.e. from start to end of the lane change), gender & age of driver (1 obs per driver).
    Here's a sample data frame:

    df <-  structure(list(driver = structure(c(1L, 1L, 1L, 1L, 1L, 1L, 1L, 
    1L, 1L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L), .Label = c("Car1", 
    "Car2"), class = "factor"), gender = structure(c(2L, 2L, 2L, 
    2L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 
    1L), .Label = c("Female", "Male"), class = "factor"), speed = c(40.5, 
    40.5, 40.7, 41, 41, 38.9, 38.6, 38.8, 39, 39.1, 55, 55, 55, 55.2, 
    55.3, 25, 25.3, 25.6, 25.6, 25.7), age = c(25, 25, 25, 25, 25, 
    25, 25, 25, 25, 25, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30), 
        LC_maneuver = structure(c(1L, 1L, 1L, 1L, 1L, 2L, 2L, 2L, 
        2L, 2L, 1L, 1L, 1L, 1L, 1L, 2L, 2L, 2L, 2L, 2L), class = "factor", .Label = c("lane_change1", 
        "lane_change2")), status = structure(c(3L, 1L, 1L, 1L, 2L, 
        3L, 1L, 1L, 1L, 2L, 3L, 1L, 1L, 1L, 2L, 3L, 1L, 1L, 1L, 2L
        ), .Label = c("changing lane", "End_of_LC", "Start_of_LC"
        ), class = "factor"), LC_duration = c(5, 5, 5, 5, 5, 8, 8, 
        8, 8, 8, 3, 3, 3, 3, 3, 11, 11, 11, 11, 11)), .Names = c("driver", 
    "gender", "speed", "age", "LC_maneuver", "status", "LC_duration"
    ), row.names = c(NA, -20L), class = "data.frame")

Please note that each driver has multiple lane changes (at different locations).

What model is appropriate for these data?

Obviously, multiple linear regression is not appropriate in this case because of both fixed and random effects. I have just started learning about the linear mixed effect models. I found this tutorial which is really helpful for building concepts and contains r code. However, I'm confused if LME model can be used in this case. This is because my dependent variable LC_duration is a single value for a given driver and given LC_maneuver, but a dependent variable, speed is a continuous variable that varies during the duration of a lane change. So my questions are:

  • Can I use LME in this case?
  • If not, what other model(s) would be more appropriate in this case?
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