University of Hertfordshire

By the same authors

Standard

Neutral data fitting in two and three dimensions. / Goodman, T.; Tofallis, C.

University of Hertfordshire, 2003. (Business School Working Papers; Vol. UHBS 2003:9).

Research output: Working paper

Harvard

Goodman, T & Tofallis, C 2003 'Neutral data fitting in two and three dimensions' Business School Working Papers, vol. UHBS 2003:9, University of Hertfordshire.

APA

Goodman, T., & Tofallis, C. (2003). Neutral data fitting in two and three dimensions. (Business School Working Papers; Vol. UHBS 2003:9). University of Hertfordshire.

Vancouver

Goodman T, Tofallis C. Neutral data fitting in two and three dimensions. University of Hertfordshire. 2003. (Business School Working Papers).

Author

Goodman, T. ; Tofallis, C. / Neutral data fitting in two and three dimensions. University of Hertfordshire, 2003. (Business School Working Papers).

Bibtex

@techreport{0d8743cce01143bbb92ecfae36d0fd66,
title = "Neutral data fitting in two and three dimensions",
abstract = "We consider fitting a line (or plane) to data on two (or three) variables for the purpose of representing scientific or law-like relationships. If these variables are related in a manner in which no variable plays a special role (i.e. no distinction between dependent and independent variables), then it is appropriate that the fitting procedure should treat all variables in the same way. Starting from obviously desirable properties for the error measure we deduce the form of this error measure and show it to be unique. We derive fitting procedures that aggregate the proposed measure over all points using the sum of squares. For the case of three variables our procedure is new--and we analyse completely the solution to the resulting minimisation problem.",
author = "T. Goodman and C. Tofallis",
year = "2003",
language = "English",
series = "Business School Working Papers",
publisher = "University of Hertfordshire",
type = "WorkingPaper",
institution = "University of Hertfordshire",

}

RIS

TY - UNPB

T1 - Neutral data fitting in two and three dimensions

AU - Goodman, T.

AU - Tofallis, C.

PY - 2003

Y1 - 2003

N2 - We consider fitting a line (or plane) to data on two (or three) variables for the purpose of representing scientific or law-like relationships. If these variables are related in a manner in which no variable plays a special role (i.e. no distinction between dependent and independent variables), then it is appropriate that the fitting procedure should treat all variables in the same way. Starting from obviously desirable properties for the error measure we deduce the form of this error measure and show it to be unique. We derive fitting procedures that aggregate the proposed measure over all points using the sum of squares. For the case of three variables our procedure is new--and we analyse completely the solution to the resulting minimisation problem.

AB - We consider fitting a line (or plane) to data on two (or three) variables for the purpose of representing scientific or law-like relationships. If these variables are related in a manner in which no variable plays a special role (i.e. no distinction between dependent and independent variables), then it is appropriate that the fitting procedure should treat all variables in the same way. Starting from obviously desirable properties for the error measure we deduce the form of this error measure and show it to be unique. We derive fitting procedures that aggregate the proposed measure over all points using the sum of squares. For the case of three variables our procedure is new--and we analyse completely the solution to the resulting minimisation problem.

M3 - Working paper

T3 - Business School Working Papers

BT - Neutral data fitting in two and three dimensions

PB - University of Hertfordshire

ER -