A guide to creating design matrices for gene expression experiments.

# 11 -0.14 MOUSE11 6 ## 12 0.14 MOUSE12 6 ## 13 1.13 MOUSE13 7 ## 14 1.58 MOUSE14 7 ## 15 3.45 MOUSE15 8 ## 16 3.17 MOUSE16 8 We know from the previous section that between times 1 and 6, a linear fit to the data shows a decreasing trend ( Figure 16 ), and a quadratic fit to the same data shows an increasing trend before time 2.57 and a decreasing trend after time 2.57 ( Figure 17 ).

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Cubic time series We extend our example with two additional time points, time 7 and 8, with the data as follows: ## expression mouse time ## 1 2.08 MOUSE1 1 ## 2 2.29 MOUSE2 1 ## 3 3.58 MOUSE3 2 ## 4 3.54 MOUSE4 2 ## 5 3.66 MOUSE5 3 ## 6 4.20 MOUSE6 3 ## 7 2.56 MOUSE7 4 ## 8 2.00 MOUSE8 4 ## 9 0.81 MOUSE9 5 ## 10 0.58 MOUSE10 5 ## 11 -0.14 MOUSE11 6 ## 12 0.14 MOUSE12 6 ## 13 1.13 MOUSE13 7 ## 14 1.58 MOUSE14 7 ## 15 3.45 MOUSE15 8 ## 16 3.17 MOUSE16 8 We know from the previous section that between times 1 and 6, a linear fit to the data shows a decreasing trend ( Figure 16 ), and a quadratic fit to the same data shows an increasing trend before time 2.57 and a decreasing trend after time 2.57 ( Figure 17 ).

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