An alternative for prescribed integration rules
in testing the linearity of a response measure

Joeri Hofmans; Olivier Mairesse; Peter Theuns

Abstract

One method to test whether graphical ratings are linear response measures is to prescribe
an integration rule and test whether the resulting pattern of factorial curvesis that predicted by this rule.
This method does not guarantee that respondents do
not use an integration rule different from the prescribed rule. To resolve this problem,
we had participants graphically rate either the weight of a beam varying in density
and volume or the velocity of balls of different masses rolling down slants of
various lengths. After the experiment, we asked participants whether they knew the
formulas to calculate beam mass and ball velocity. The participants who knew the
correct formulas produced patterns of factorial curves in agreement with the formulas.
These results confirm that graphical ratings are linear response measures.

Original language	English
Title of host publication	research meeting on "applications of Functional Measurement in psychology"
Publication status	Published - 2007
Event	Finds and Results from the Swedish Cyprus Expedition: A Gender Perspective at the Medelhavsmuseet - Stockholm, Sweden Duration: 21 Sep 2009 → 25 Sep 2009

Conference

Conference	Finds and Results from the Swedish Cyprus Expedition: A Gender Perspective at the Medelhavsmuseet
Country	Sweden
City	Stockholm
Period	21/09/09 → 25/09/09

Keywords

linear response measure
scaling
problem of evidence
functional measurement

Cite this

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title = "An alternative for prescribed integration rules in testing the linearity of a response measure",

abstract = "One method to test whether graphical ratings are linear response measures is to prescribe an integration rule and test whether the resulting pattern of factorial curvesis that predicted by this rule. This method does not guarantee that respondents do not use an integration rule different from the prescribed rule. To resolve this problem, we had participants graphically rate either the weight of a beam varying in density and volume or the velocity of balls of different masses rolling down slants of various lengths. After the experiment, we asked participants whether they knew the formulas to calculate beam mass and ball velocity. The participants who knew the correct formulas produced patterns of factorial curves in agreement with the formulas. These results confirm that graphical ratings are linear response measures.",

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year = "2007",

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T1 - An alternative for prescribed integration rules in testing the linearity of a response measure

AU - Hofmans, Joeri

AU - Mairesse, Olivier

AU - Theuns, Peter

PY - 2007

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N2 - One method to test whether graphical ratings are linear response measures is to prescribe an integration rule and test whether the resulting pattern of factorial curvesis that predicted by this rule. This method does not guarantee that respondents do not use an integration rule different from the prescribed rule. To resolve this problem, we had participants graphically rate either the weight of a beam varying in density and volume or the velocity of balls of different masses rolling down slants of various lengths. After the experiment, we asked participants whether they knew the formulas to calculate beam mass and ball velocity. The participants who knew the correct formulas produced patterns of factorial curves in agreement with the formulas. These results confirm that graphical ratings are linear response measures.

AB - One method to test whether graphical ratings are linear response measures is to prescribe an integration rule and test whether the resulting pattern of factorial curvesis that predicted by this rule. This method does not guarantee that respondents do not use an integration rule different from the prescribed rule. To resolve this problem, we had participants graphically rate either the weight of a beam varying in density and volume or the velocity of balls of different masses rolling down slants of various lengths. After the experiment, we asked participants whether they knew the formulas to calculate beam mass and ball velocity. The participants who knew the correct formulas produced patterns of factorial curves in agreement with the formulas. These results confirm that graphical ratings are linear response measures.

KW - linear response measure

KW - scaling

KW - problem of evidence

KW - functional measurement

M3 - Meeting abstract (Book)

BT - research meeting on "applications of Functional Measurement in psychology"

T2 - Finds and Results from the Swedish Cyprus Expedition: A Gender Perspective at the Medelhavsmuseet

Y2 - 21 September 2009 through 25 September 2009

ER -

An alternative for prescribed integration rules in testing the linearity of a response measure

Abstract

Conference

Keywords

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Cite this