Question

Particleboard is made from wood chips and resins. An experiment is conducted to study the effect of using slash chips (waste wood chips) along with standard chips. The researchers make eighteen boards by varying the target density (42 or 48 lb/ft3), the amount of resin (6, 9, or 12%), and the fraction of slash (0, 25, or 50%). The response is the actual density of the boards produced (Ib/ft3, data from Boehner 1975). Analyze these data to Problem 8.2 determine the effects of the factors on particleboard density and how the density differs from target. 42 Target 48 Target 0% 25% 50% 0% 25% 50% 640.941.9 42.0 44.4 46.2 48.4 9 42.8 43.9 44.8 48.2 48.6 50.7 12 45.4 46.0 46.2 49.950.8 50.3

Answer 1

Sourse	Df	Sum Sq	Mean Sq	F value	Pr(>F)
Target	1	104.64	104.64	214.85	0.0000
Resin	2	51.24	25.62	52.6	0.0000
Slash	2	10.09	5.05	10.36	0.0024
Residuals	12	5.84	0.49

Comment: The p-values for all the factors are less than 0.05 significance level. Hence, all the factor have a significant effect on the density of the boards produced at the 0.05 significance level.

The mean density of the boards produced has a significant difference between the 42 and 48 lb/ft^3 target density at the 0.05 significance level.