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20 mkran<br />

Note<br />

mkrk.tp and mkrk.sphere create a bivariate function fun(x,y,env,outer=FALSE),<br />

where x, y are real arguments and local constants can be passed in through env.<br />

mkphi.tp creates a collection of univariate functions fun(x,nu,env), where x is the argument<br />

and nu is the index.<br />

Author(s)<br />

Chong Gu, 〈chong@stat.purdue.edu〉<br />

References<br />

Gu, C. (2002), Smoothing Spline ANOVA Models. New York: Springer-Verlag.<br />

Wahba, G. (1981), Spline interpolation and smoothing on the sphere. SIAM Journal on Scientific<br />

and Statistical Computing, 2, 5–16.<br />

See Also<br />

mkterm, mkfun.poly, and mkrk.nominal.<br />

mkran<br />

Generating Random Effects in Mixed-Effect Models<br />

Description<br />

Generate entries representing random effects in mixed-effect models.<br />

Usage<br />

mkran(formula, data)<br />

Arguments<br />

formula<br />

data<br />

Symbolic description of the random effects.<br />

Data frame containing the variables in the model.<br />

Details<br />

This function generates random effect terms from simple grouping variables, for use in nonparametric<br />

mixed-effect models as described in Gu and Ma (2005a, b). <strong>The</strong> syntax of the formula resembles<br />

that of similar utilities for linear and nonlinear mixed-effect models, as described in Pinheiro and<br />

Bates (2000).<br />

Currently, mkran takes only two kinds of formulas, ~1|grp2 or ~grp1|grp2. Both grp1 and<br />

grp2 should be factors, and for the second formula, the levels of grp2 should be nested under<br />

those of grp1.

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