Data & Analysis

Assumptions

Data was organized with the following Column headings ID Plot Ret Species LAI DIFN dHt Vol. Measurements taken on Douglas-fir in the control were deleted (as only tree was found within three treatment blocks. The assumptions of statistical tests are outlined: The assumption of normality holds valid for all samples in the reponse variables (LAI, DIFN, dHt (change in height) and Vol) (Fig 3); as they are approximately symmetric. 

According to Levene's test for homogenity in variance, equal variance assumption does hold true (F(2,130) = 1.86, p = 0.16).  The predictor variable LAI was normal and accoriding to Levene's test it showed signs of heteroskedasticity (F(2,120)=0.02, p = 0.9789). The response variable Vol was found to be normal and the violation of equal variances isn't severe (F(2,130)=1.56, p =0.216).


Limitations

All inferences are generalized to ICH mixed stands of Western redcedar, Douglas-fir, and Western hemlock, growing on a substantial slope (30%). This creates a specific population from which inferences can be generalized.

Growth data was collected over one year. This gave tremendous variablity with the reponse variables (Vol and dHt). Assessing growth over one growing season gives rise to many confounding factors, like wet or dry years, damaging agents etc. Thus, the results obatined in this study could drastically vary from year to year.

The amount of samples was enough to describe the variation within each treatment, but the amount of treatment replicates was lacking in describing the treatment levels. Due to the  costs associated with sampling treatment levels; the study was forced to use two replicates of each treatment-level, with the exception of the control, where three replicates were used. Thus, the predictive power associated with this study is marginal.

The prevalence of confounding factors was common. This could be due to the lack of measurements for other factors. For instance, microclimatic data would need to be taken to get the full assesment of species reponse to microsite gradients (not just light).

The likely effects of these limitations is a reduction in the pedictive power of this study. Inferences are generalized to a specific population. Variation is realtiviely high leading to a need for an increase in sample size to limit type II error and measurement of more predictor variables to reduce a confounding effect.


Data Checking

 



Data Summary

The predictor variables (Retention, Species, LAI, and DIFN) formed the following hypotheses. Light (DIFN) was greatest with the least amount of retained trees. LAI was greatest with the least amount of retained trees. The reponse variables (dHt, dDia (change in diameter) and dDBH (change in diameter at breast hieght)), are parameters for volume equations. They follow the general trend of shade tolerance rankings, where the occurance of Douglas-fir in 100% retention prescriptions is almost nill, though it has the one of the highest growth gains in low light environments.

Simplified Data Table

Disclaimer: this is a class exercise based on modified or randomly generated datasets