Parameter Estimates

Figure 1. Parameter estimates
Parameter estimates

The parameter estimates table summarizes the effect of each predictor. While interpretation of the coefficients in this model is difficult because of the nature of the link function, the signs of the coefficients for covariates and relative values of the coefficients for factor levels can give important insights into the effects of the predictors in the model.

  • For covariates, positive (negative) coefficients indicate positive (inverse) relationships between predictors and outcome. An increasing value of a covariate with a positive coefficient corresponds to an increasing rate of damage incidents.
  • For factors, a factor level with a greater coefficient indicates greater incidence of damage. The sign of a coefficient for a factor level is dependent upon that factor level's effect relative to the reference category.

You can make the following interpretations based on the parameter estimates:

  • Ship type B [type=2] has a statistically significantly (p value of 0.019) lower damage rate (estimated coefficient of –0.543) than type A [type=1], the reference category. Type C [type=3] actually has an estimated parameter lower than B, but the variability in C's estimate clouds the effect. See the estimated marginal means for all relations between factor levels.
  • Ships constructed between 1965–69 [construction=65] and 1970–74 [construction=70] have statistically significantly (p values <0.001) higher damage rates (estimated coefficients of 0.697 and 0.818, respectively) than those built between 1960–64 [construction=60], the reference category. See the estimated marginal means for all relations between factor levels.
  • Ships in operation between 1975–79 [operation=75] have statistically significantly (p value of 0.012) higher damage rates (estimated coefficient of 0.384) than those in operation between 1960–1974 [operation=60].

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