# eugenik.dk

Om race-hygiejne og IQ-forskning

# Decay III: “Proportional transformation” of TFR data

18. marts 2015

In appendix 1 to the “Editor’s Note” Nyborg and Vig claim to have used crude birth rates (CBRs) arising from a so-called “proportional transformation” procedure. To be able to discuss this better, we need to define a formalism describing this transformation. Let

be a be a sequence of total fertility rate (TFR) data for countries $1…n$ e.g. from the United Nations World Population Prospects (WPP)

1. Next, let

be a sequence of TFR data, for example from CIA (Nationmaster), and finally, let

be a set of crude birth rates (CBRs) for n countries, from the same source as $T$. The transformation:

creates a new sequence of values $B$ of the same order of magnitude as $C$ provided $U \approx T$. It is incorrect to call the transformation “proportional” since every datum is multiplied by a separate factor.

The reason for doing this transformation is obscure if the object is to obtain a set of $B$, because in order to do it, it is necessary to have a proper set of CBR data $C$, which is actual data and naturally should be used instead.

The reason the spreadsheet mmc1 deals with this meaningless transformation at all, is because it originally is designed to work with the so-called Alsager School data, for which only TFRs exist. Vig has used the Alsager data set (see the blog post Decay VI: The Alsager School data set) because he feels that the UN birth rate data is “too low, especially for people of third world origin” perspektiv.pdf p. 5.