The Personal Distribution of Income

Steindl, Josef

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Document type:: Works

Collection:: Josef Steindl Collection

Title:: The Personal Distribution of Income

Author:: Steindl, Josef

Scope:: Typoskript, 24 Seiten, mit handschriftlichen Ergänzungen bei mathematischen Formeln

Year of publication:: 1990

Source material date:: [vermutlich um 1990]

Language:: English

Shelfmark:: S/M.52.11

Use and reproduction license:: In Copyright

Access:: Free access

DOI:: https://doi.org/10.48671/nls.js.AC14446376

15 If the mean income in the various wealth classes is calculated,a linear regression of a very regular pattern is obtained (fig.l). This "regression of the first kind" as it is called (Cramer 1946 p.270 )differs from the usual least sguares regression in that it does not assume a priori a certain mathematical function for the regression.If the regression of the means turns out to be linear as is the case here then we should expect it to be the same as the result of a least squares regression on the basis of the full data (a difference may arise,however, in so far as we do not take into account the weights for the means corresponding to the frequencies in the various wealth classes). If the same regression of the first kind is calculated in the other dimension,that is , if we take the mean wealth for each of the various income classes,a completely different picture emerges:The mean wealth in the lowest income classes does not increase with income at all; for higher incomes it increases strongly so that a distinctly curved regression line results. The reason - or at least the most important of the reasons -for the peculiar shape of this regression line lies in the truncation of the wealth data. In the lower income classes we find only people who have something like the

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