This seems like a more general statistics question rather than an R question.
You might have more luck getting a response by posting your question to Cross Validated, http://stats.stackexchange.com/ Jean On Mon, Jul 21, 2014 at 10:13 AM, Lenth, Russell V <russell-le...@uiowa.edu> wrote: > This is a question only about terminology. > > Suppose I have data categorized by three factors A, B, and C, with cell > means ybar_ijk and cell frequencies n_ijk, where I, j, and k index A, B, > and C respectively. And suppose I want to summarize the results for factor > A by computing some sort of weighted means WM_i, averaging over indices j > and k with weights w_jk. Consider these four weighting schemes: > > 1. Use equal weights, w_jk = 1 > 2. Use weights of w_jk = n_+jk (where "+" shows I summed over that > index) > 3. Use weights w_jk = n_+j+ * n_++k (outer product of the one-factor > marginal frequencies) > 4. Use weights w_ijk = n_ijk (only one where we use a different set > of weights for each i) > > Scheme 1 yields the "unweighted" or "least-squares" means, and scheme 4 > yields the ordinary means for A, ignoring B and C altogether. Scheme 3 > yields weighted averages over k of weighted averages over j (or vice versa). > > My question is what to call these schemes, e.g., as a character argument > in an R function. Preliminarily, I am calling them "equal", "proportional", > "outer", and "actual". The first one is pretty obvious. But maybe there is > some existing standard terminology for some or all of the others that I am > unaware of (or have forgotten). Any suggestions? > > Russ > > Russell V. Lenth - Professor Emeritus > Department of Statistics and Actuarial Science > The University of Iowa - Iowa City, IA 52242 USA > Voice (319)335-0712 (Dept. office) - FAX (319)335-3017 > > ______________________________________________ > R-help@r-project.org mailing list > https://stat.ethz.ch/mailman/listinfo/r-help > PLEASE do read the posting guide > http://www.R-project.org/posting-guide.html > and provide commented, minimal, self-contained, reproducible code. > [[alternative HTML version deleted]] ______________________________________________ R-help@r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code.
