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Fitting Straight Lines when One Variable is Controlled

Henry Scheffe
Journal of the American Statistical Association
Vol. 53, No. 281 (Mar., 1958), pp. 106-117
DOI: 10.2307/2282571
Stable URL: http://www.jstor.org/stable/2282571
Page Count: 12
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Fitting Straight Lines when One Variable is Controlled
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Abstract

Experiments are analyzed in which "runs" are made on the apparatus, the data are bivariate, observations on one variable are taken for a predetermined set of values for the observations on the other variable, and straight lines are fitted on each run to the observed points. The possibility is considered that the "true" line may vary from run to run because of uncontrolled factors causing differences between runs. The mathematical model generalizes one introduced by Berkson.

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