Personal Relationships, 24 (2017), 242 – 264. Printed in the United States of America.
Copyright © 2017 IARR; DOI: 10.1111/pere.12176
Analysis of group composition in multimember
multigroup data
THOMAS LEDERMANN,
a
MYRIAM RUDAZ,
a
AND ALEXANDER GROB
b
a
Utah State University and
b
University of Basel
Abstract
Data from groups often have a multimember multigroup (MMMG) structure. Examples are two-parent families with a
female or male child (three members, two groups), two same-gender and opposite-gender peers of different status (two
members, four groups), or gay, lesbian, and heterosexual couples (two members, three groups). To analyze such data, a
framework called MMMG actor–partner interdependence model (MMMG APIM) is presented considering group
composition. Three models are discussed in detail: the three-member two-group APIM, the two-member four-group
APIM, and the two-member three-group APIM. Structural equation modeling and cross-sectional and longitudinal data
are used to illustrate the approach. To ease the interpretation of APIM fndings, a proposal of a general classifcation
scheme is made.
Interpersonal relationships are important for
most individuals across the lifespan (Baumeis-
ter & Leary, 1995). Some of the most impor-
tant relationships in one’s life include those
with family members, friends, peers, teach-
ers, and coworkers (Antony & Swinson, 1998).
When we study such relationships, we may
very often be interested in the extent to which
partners infuence each other. For example, we
might be interested in whether younger sib-
lings are more infuenced by older siblings than
younger siblings infuencing older siblings or
whether same-gender siblings infuence each
Thomas Ledermann, Department of Psychology, Utah
State University; Myriam Rudaz, Department of Psychol-
ogy, Utah State University; Alexander Grob, Department
of Psychology, University of Basel.
The research used data of The Iowa Youth and Families
Project of Rand Conger and colleagues and the American
Couples study of Philip Blumstein and Pepper Schwartz.
The data were made available through the Inter-University
Consortium for Political and Social Research and the Har-
vard University.
We thank Larissa Troesch for comments on an earlier
version of this article and David Kenny for discussion on
the analysis of two-member three-group data.
Correspondence should be addressed to Thomas Led-
ermann, Utah State University, Department of Psychology,
Logan, UT 84322, e-mail: thomas.ledermann@usu.edu.
other more than opposite-gender siblings. To
assess the degree to which two partners infu-
ence each other, the actor–partner interdepen-
dence model (APIM; Kenny, 1996) has been
developed. This widely used model provides
an assessment of intrapersonal and interper-
sonal effects, called actor and partner effects,
respectively. In its most basic form, the APIM
consists of a predictor X and an outcome Y ,
both measured in both dyad members, which
might be stress and satisfaction in husbands
and wives.
When we study dyads, there is often not
just one type of dyad but multiple types. For
example, with sibling pairs of different ages,
there are four possible group compositions:
both male, both female, older sibling male
and younger sibling female, and older sib-
ling female and younger sibling male. The
same is true with friends of different ages or
peers of different status. Also, often, there are
more than two partners. Examples of triads are
two-parent families with a target child or a tutor
with two students. As with dyads, there is often
more than one type of triad. Two-parent fam-
ilies with a child typically represent two dif-
ferent groups, one where the child is a male
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