```Date: Dec 2, 2012 2:53 PM
Author: Halitsky
Subject: Re: Glad you brought up “singleton” length inter<br>	vals ... been thinkin’ on ‘em also ...

I am shortly sending two csv files offline: a1_N_1_C.csv anda1_N_1_S.csv, both with the column headers:FoldFrameDiSetSetTypLenID  (this is now a ?singleton? length)obsNMean u (actually, mean(u/(1+u))Mean eAuq     (see below for definition of this column and the remainingcolumnsAuqSEAubuAubuSEAubeAubeSEAubAvcovRuqResVarRubResVarWith respect to these columns, please note that:Auq is the average slope of the regression Ruq = c on (u?,u?^2), whereu? = u/(1+u)AuqSe is the SE for AuqAubu is the average slope of the u? coefficient of the regression Rub= c on (u?, e, u?*e) ... note that u? is now first and e is nowsecond ... but as you?ve pointed out, everything is symmetrical sothis switch from our original Rub = c on (e, u?, u?*e) is purelynotational, i.e. either way, we?re interested in the average slope andSE that I?ve called Aube, AubeSE in the attached files (see below),and perhaps also the average slope and SE that I?ve called Aubu,AubuSE (see below).AubuSe is the SE for AubuAube is the average slope of the e coefficient of the regression Rub =c on (e, u?, u?*e)AubuSe is the SE for AubeAubAvcov is that potentially useful covariance for Rub, the one youdefined as:cov[Av1,Av2] = cov[a1,a2] + var[a3]*mean_x1*mean_x2 +cov[a1,a3]*mean_x1 + cov[a2,a3]*mean_x2, where 1= u?, 2 = e, and 3 =u?*e.RuqResVar = variance of the residuals of RuqRubResVar = variance of the residuals of Rub.If you want me to send the equivalent files for each pair of cells asthey're computed, please let me know.Also, as I progress thru the run, I will be computing the master fileof N's you've asked for, although if I send you pairs of csv's for allpairs of cells, you'll have these N's readily available.
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