I have data of the following form:
Plot Period ChangeRate PlotType HurrStat
1 4 1 4.226524 Succ N
3 4 2 4.465217 Succ N
2 4 3 4.250807 Succ N
4 5 1 4.647065 Succ F
5 5 2 8.437362 Succ F
6 5 3 1.826346 Succ F
Where the ChangeRate
of biomass (Mg/ha/year) during 3 different sampling Periods
was determined. The data have 3 samples from each of 37 Plots.
The plots also experienced differential Hurricane Fran damage between Period
2 and 3, which is captured by the categorical variable HurrStat
(where N
is no damage and F
codes for damage). PlotType
is also a 2-level factor not used.
I fit the following model using lmer
(in R):
mod <- lmer(ChangeRate ~ factor(Period) * factor(HurrStat) + (1|Plot), data = dat, REML=F)
and followed that up by calculating bootstrapped confidence intervals for each predictor:
confint(mod,method='boot',nsim=10000)
I combined them into the following table showing Estimates
and 2.5%
and 97.5%
confidence intervals:
Estimates 2.5% 97.5%
(Intercept) 3.4592000 2.2492249 4.6814362
factor(Period)2 2.5679507 0.7930576 4.2767805
factor(Period)3 2.9561185 1.2523120 4.6726818
factor(HurrStat)F 0.3630296 -1.0398981 1.7304300
factor(Period)2:factor(HurrStat)F -1.4151125 -3.3603946 0.5210217
factor(Period)3:factor(HurrStat)F -4.4443273 -6.4183476 -2.4845560
Are the below interpretations correct given these results?
* Period 1: biomass change rate = 3.46 (95% CI 2.45, 4.68) Mg/ha/yr
* Period 2: 2.57 higher --> so 6.12 Mg/ha/yr
* Period 3: 2.96 higher --> so 6.51 Mg/ha/yr
x Period 1 plots w/ Fran damage had 0.36 higher rates vs. Period 1 values above --> so 3.82 Mg/ha/yr
x Fran plots were -1.42 lower in Period 2
* Plots with Hurr damage were -4.44 lower in period 3
(So is this 3.46 + 2.96 + 0.36 -4.44, or do I ignore the non-significant 0.36?)
* = SIGNIFICANT EFFECTS | x = INSIGNIFICANT EFFECTS
Ultimately I want to know if plots experienced a slowing down of ChangeRate
between periods (with a focus on Period
3).
Is it safe to say form the results I got that: overall,
ChangeRate
increased inPeriod
3, but plots impacted by the hurricane actually decreased??- 6.51 rate in non-damaged plots vs 1.98 (3.46 + 2.96 + -4.44) rate in hurricane plots in Period 3 (vs. a mean Period 1 ChangeRate of 3.46)