Substituut‐variabelen in correlatieberekingen

W. H. Somermeiier

Statistica Neerlandica, 1957, vol. 11, issue 3, 153-160

Abstract: The recently repeated assertion that in correlation analysis it makes little difference whether one variable (x2) is used instead of another one (x3), provided the coefficient of correlation (r23) between x2 and x3 is high, is scrutinized. To that purpose the ranges of coefficients of correlation with respect to the substitute variable are expressed in formula 3. Moreover, by way of example, extreme values of coefficients of simple correlation (r13 and r34), of multiple correlation (R1.34 and R3.14) and of regression (α13 and α14, α31 and α34) relating to the substitute variable, are calculated on the basis of empirical values of coefficients of simple correlation relating to the substituted and the remaining variables. The outcome of those calculations are summarized in the tables 1 and 3, and in the graph. Table 1 presents ranges of r13 for given values of r12 and r23, table 3 shows extreme values of coefficients of single and multiple correlation and regression in case an additional variable x4 is introduced and r12, r14, r24 and r23 are given. The graph shows an ellipse as the boundary of the inner closed domain of compatible values of r13 and r34. Those results clearly indicate the need for caution in substituting one variable by another.

Date: 1957
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1111/j.1467-9574.1957.tb00028.x

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:bla:stanee:v:11:y:1957:i:3:p:153-160

Ordering information: This journal article can be ordered from
http://www.blackwell ... bs.asp?ref=0039-0402

Access Statistics for this article

Statistica Neerlandica is currently edited by Miroslav Ristic, Marijtje van Duijn and Nan van Geloven

More articles in Statistica Neerlandica from Netherlands Society for Statistics and Operations Research
Bibliographic data for series maintained by Wiley Content Delivery ().