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-lenth@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
>
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