Find the sum of squares for the cubic trend.
1. Appendix Table A. 10 shows that the trend coefficients for four equally spaced levels of a quantitative factor are given by Show that the contrasts defined by these coefficients form an orthogonal set with equal n. 2. The plot in Figure 6.3a represents a pure linear trend for four groups. The purpose of this exercise is to verify that the figure does in fact reflect a pure form. Assume n = 10 participants per group throughout. The means in are a. Find the sum of squares for the linear trend. b. Find the sum of squares for the quadratic trend. c. Find the sum of squares for the cubic trend. d. Does reflect a pure linear trend?
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