# 1 Indirect Effects and the Test of Mediation. 2 Example Objective: Compare Path Models to Multiple Regression and Illustrate Concepts of Indirect Effects.

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1 Indirect Effects and the Test of Mediation

2 Example Objective: Compare Path Models to Multiple Regression and Illustrate Concepts of Indirect Effects and Mediation

3 Example Data: Community Response to Wildfire in California Shrublands

4 View of Data in KeeleyDataCov.xls rich = plant species richness in 1000 m 2 plots tcov = total cover of all species coastran = distance from the coast (transformed) s_age = age of the stand that burned, in years fidx = fire severity index hetero = index of within-plot heterogeneity optabio = index of optimum abiotic conditions (low N, high sand, high rock)

5 Bivariate Patterns.

6 Indirect Effects as Causal Tests: Step 1 How do we interpret the observation that plant cover the year after the fires is a function of the age of the stand that burned? Perhaps older stands burn hotter and produce more severe fires.

7 Evaluating the possibility that effect of stand age on plant cover following fire is because older stands burn hotter. Indirect Effects as Causal Tests: Step 2

8 Setting Amos "Analysis Properties" for this example.

9 Testing the hypothesis of mediation - results. Indirect Effects as Causal Tests: Step 3 Chi-square less than 3.84 indicates we pass the test for concluding that fire severity mediates the effect of stand age on vegetation recovery. standardized path coefficients R-square

10 Calculating the Magnitude of the Indirect Effect. Standardized indirect effect of s_age on tcov = 0.45 x -0.44 = -0.198.

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