Tests of significance of the differences between regression coefficients derived from two sets of correlated variates

A - Papers appearing in refereed journals

Yates, F. 1939. Tests of significance of the differences between regression coefficients derived from two sets of correlated variates. Proceedings of the Royal Society of Edinburgh. 59, pp. 184-194. https://doi.org/10.1017/S037016460001227X

AuthorsYates, F.
Abstract

The calculation of the partial regression of different, but correlated, dependent variates on the same set of independent variates is of common occurrence. Frequently, also, the differences between the resultant regression coefficients are of interest, and tests of significance for these differences are consequently required. In the classical wheat experiments on Broadbalk field at Rothamsted, for example, the influence of rainfall on yield has been investigated for the various plots, which receive different manurial treatments (Fisher, 1924). An extension of the method of partial regressions was used, which analytically amounted to the evaluation, for each plot separately, of the regression of yield on quantities representing the amount and distribution of rain in each year, these quantities being the same for all plots, since the plots were situated on the same field. One of the most interesting aspects of these results was the differences which were revealed between the effects of rainfall on the differently manured plots. (See also Cochran, 1935.)

Year of Publication1939
JournalProceedings of the Royal Society of Edinburgh
Journal citation59, pp. 184-194
Digital Object Identifier (DOI)https://doi.org/10.1017/S037016460001227X
Open accessPublished as non-open access
PublisherCambridge University Press

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