Chapter 14 Higher-order regression analyses

14.1 Example data set

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A data set on “motive congruence”.

A dataset containing the explicit intimacy motive, implicit affiliation/intimacy motive and self ratings of affective valence. The variables are as follows:

• EM: Explicit intimacy motive, measured with a questionnaire adapted from the Unified Motive Scales, (Schönbrodt & Gerstenberg, 2012). Raw values have been \(z\) standardized.

• IM: Implicit affiliation/intimacy motive, measured a with picture story exercise (6 pictures). Raw motive scores have been controlled for word count and \(z\) standardized.

• VA: \(z\) standardized valence rating. Consists of two bipolar items from the PANAVA questionnaire (Schallberger, 2005): “zufrieden … unzufrieden” (satisfied … unsatisfied) and “ungluecklich … gluecklich” (unhappy … happy).

Each of the 362 rows is an individual participant.

• Download the SPSS data set

• Download the Excel/R data set

14.2 Description

For the continuous tables, we present descriptive statistics.

	EM	IM	VA
Mean	0.00	0.00	0.00
Std.Dev	1.00	1.00	1.00
Min	-3.57	-1.98	-3.04
Median	0.20	-0.14	0.26
Max	2.65	5.54	1.49
N.Valid	362.00	362.00	362.00
Pct.Valid	100.00	100.00	100.00

14.3 Visualization

Figure 14.1: Relationships between key variables.

14.4 Regression analysis

Model statistics
Multiple \(R^2\)	0.050
Multiple \(R^2_{adj}\)	0.037
\(F_{5,356}\)	3.755
Sig. (\(p\))	0.003
Resid. SD	0.981
Resid. df	356

Regression coefficients
	Coef.	Std. Err.	\(t\) stat.	Sig. (\(p\))	VIF
(Intercept)	0.099	0.066	1.490	0.137
EM	−0.036	0.056	−0.643	0.521	1.159
IM	0.106	0.061	1.742	0.082	1.398
EMsqr	−0.089	0.033	−2.655	0.008	1.154
IMsqr	−0.014	0.025	−0.558	0.577	1.485
EM:IM	0.146	0.051	2.874	0.004	1.077

14.4.1 Model checking

References

Schallberger, U. (2005). Kurzskala zur erfassung der positiven aktivierung, negativen aktivierungund valenz in experience sampling studien (panava-ks) [short scales for the assessment of positive affect, negative affect, and valence in experience sampling studies]. Retrieved from University of Zürich website: http://www.psychologie.uzh.ch/institut/angehoerige/emeriti/schallberger/schallberger-pub/PANAVA_05.pdf

Schönbrodt, F. D., & Gerstenberg, F. X. R. (2012). An IRT analysis of motive questionnaires: The unified motive scales. Journal of Research in Personality, 46, 725–742. Retrieved from http://www.sciencedirect.com/science/article/pii/S0092656612001353

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