Suppose you have one-way structured data with t = 3 groups. Define the linear model such that µ is the mean of the first group and the second and third groups are measured as deviations from the...

Suppose you have one-way structured data with t = 3 groups. Define the linear model such that µ is the mean of the first group and the second and third groups are measured as deviations from the first. Is X for this model of full rank? Does this form of the model relate to any of the three reparameterizations?