. The Biological bulletin. Biology; Zoology; Biology; Marine Biology. 42 L. R. McEDWARD AND K. H. MORGAN Table 3 Regression parameters for all 47 species of echinoderms Model a b c k Fit predict Y Linear _ /ul [] [] [35%] Power — — [] [] Allometric jul [] [] [] [36%] Polynomial — [—] [] [—] Regression parameters are illustrated for each model in Table 2. Fit is the proportion
. The Biological bulletin. Biology; Zoology; Biology; Marine Biology. 42 L. R. McEDWARD AND K. H. MORGAN Table 3 Regression parameters for all 47 species of echinoderms Model a b c k Fit predict Y Linear _ /ul [] [] [35%] Power — — [] [] Allometric jul [] [] [] [36%] Polynomial — [—] [] [—] Regression parameters are illustrated for each model in Table 2. Fit is the proportion of the total variance in egg energy content that is explained by the regression against egg volume. predict Y gives the minimum difference in egg volume needed to yield significantly different predictions of egg energy content. these data. The full allometric model (Fig. 2C) yields a negligibly better fit than the power function, with nearly the same parameter values. The allometric model has weak predictive power; the minimum difference in egg size nec- essary to yield significantly different predictions is more than 8 /nl. The polynomial regression provides the best fit to the data among the four models tested, with a fit of 98%. It shows that the data are strongly curvilinear (Fig. 2D). Do any of these models fit well enough to justify con- cluding that we have described the pattern of scaling be- tween egg size and content? In one sense, yes. using all of the data with fairly simple, general models that were ex- plicitly chosen beforehand yields an objective analysis. Be- sides, the fit in terms of the explained variance is quite good for all models tested (84%-98%). However, the confidence intervals for the regression parameters are broad in all cases, and this cautions against putting too much confidence in the described scaling relationship. Can the fit of any of the ISO 125 100 150 ~ 125 | 100 8 75. 2 125 S 100 Figure 4. Plots of egg volume and energy con
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Keywords: ., bookauthorlilliefrankrat, booksubjectbiology, booksubjectzoology
