Worksheets/Week3

Part 1

A factorial experiment was run to investigate the settings that minimize the production of an unwanted side product. The two factors being investigated are called A and B for simplicity.

Part 2

Continuing from above, with 2 extra experimental points:

Part 3

Your family runs a small business selling products online. The first factor of interest is whether to provide free shipping over €30 or over €50. The second factor is whether or not the purchaser must first create a profile before completing the transaction. The purchaser can still complete their transaction without creating a profile. Below are the data collected, showing the 8 experiments.

Part 4

Continuing with the case above:

Part 5

Your group is developing a new product, but have been struggling to get the product’s stability, measured in days, to the level required. You are aiming for a stability value of 50 days or more.

base <- c(-1, +1) design <- expand.grid(A=base, B=base, C=base) A <- design$A B <- design$B C <- design$C y <- c(40, 27, 35, 21, 41, 27, 31, 20) mod.stability <- lm(y ~ A*B*C) summary(mod.stability) paretoPlot(mod.stability) contourPlot(mod.stability, 'A', 'B') contourPlot(mod.stability, 'A', 'C')