the meaning and measurement of productive engagement in later life

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The Meaning and Measurement of Productive Engagement in Later Life Christina Matz-Costa Jacquelyn Boone James Larry Ludlow Melissa Brown Elyssa Besen Clair Johnson Accepted: 30 September 2013 Ó Springer Science+Business Media Dordrecht 2013 Abstract This study draws from the work engagement literature to define engagement as an indicator of role quality and to develop a measure—The Productive Engagement Portfolio (PEP)—that can be used to assess engagement in work, volunteering, caregiving, and informal helping among older adults. A Rasch measurement approach was used to develop both Likert-based and semantic-differential-based measures of engagement across 4 roles. Items for both scales were developed through an iterative process that included focus groups, 4 pilot tests, and one full-scale administration. Results suggest that the psychological state of engagement can be conceptualized and measured on a meaningful continuum defining a unidimensional and hierarchical construct ranging from lower to higher levels of engagement. The technical characteristics of the items were found to be C. Matz-Costa (&) Á M. Brown Graduate School of Social Work, Boston College, McGuinn Hall, 140 Commonwealth Ave., Chestnut Hill, MA 02467, USA e-mail: [email protected] M. Brown e-mail: [email protected] J. B. James Sloan Center on Aging & Work, Boston College, 3 Lake St. Bldg., 140 Commonwealth Ave., Chestnut Hill, MA 02467, USA e-mail: [email protected] L. Ludlow Á C. Johnson Educational Research, Measurement, and Evaluation Department, Lynch School of Education, Boston College, 336C Campion Hall, 140 Commonwealth Ave., Chestnut Hill, MA 02467, USA e-mail: [email protected] C. Johnson e-mail: [email protected] E. Besen Center for Disability Research, Liberty Mutual Research Institute for Safety, 71 Frankland Rd., Hopkinton, MA 01748, USA e-mail: [email protected] 123 Soc Indic Res DOI 10.1007/s11205-013-0469-6

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Page 1: The Meaning and Measurement of Productive Engagement in Later Life

The Meaning and Measurement of ProductiveEngagement in Later Life

Christina Matz-Costa • Jacquelyn Boone James • Larry Ludlow •

Melissa Brown • Elyssa Besen • Clair Johnson

Accepted: 30 September 2013� Springer Science+Business Media Dordrecht 2013

Abstract This study draws from the work engagement literature to define engagement as

an indicator of role quality and to develop a measure—The Productive Engagement

Portfolio (PEP)—that can be used to assess engagement in work, volunteering, caregiving,

and informal helping among older adults. A Rasch measurement approach was used to

develop both Likert-based and semantic-differential-based measures of engagement across

4 roles. Items for both scales were developed through an iterative process that included

focus groups, 4 pilot tests, and one full-scale administration. Results suggest that the

psychological state of engagement can be conceptualized and measured on a meaningful

continuum defining a unidimensional and hierarchical construct ranging from lower to

higher levels of engagement. The technical characteristics of the items were found to be

C. Matz-Costa (&) � M. BrownGraduate School of Social Work, Boston College, McGuinn Hall, 140 Commonwealth Ave., ChestnutHill, MA 02467, USAe-mail: [email protected]

M. Browne-mail: [email protected]

J. B. JamesSloan Center on Aging & Work, Boston College, 3 Lake St. Bldg., 140 Commonwealth Ave., ChestnutHill, MA 02467, USAe-mail: [email protected]

L. Ludlow � C. JohnsonEducational Research, Measurement, and Evaluation Department, Lynch School of Education, BostonCollege, 336C Campion Hall, 140 Commonwealth Ave., Chestnut Hill, MA 02467, USAe-mail: [email protected]

C. Johnsone-mail: [email protected]

E. BesenCenter for Disability Research, Liberty Mutual Research Institute for Safety, 71 Frankland Rd.,Hopkinton, MA 01748, USAe-mail: [email protected]

123

Soc Indic ResDOI 10.1007/s11205-013-0469-6

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invariant across each productive role type for both measurement approaches and the

meaning of person scores within a role were found to be independent of the response

format for both approaches. Using score conversion charts designed to translate the scale

scores into a form that is readily transparent and usable for practitioners, our scales can

easily and meaningfully chart a person’s level of engagement pre- and post-intervention.

The PEP instrument can also be used in survey research or by practitioners in community

or medical settings to assess the extent to which older adults are involved in roles that

enhance their overall quality of life.

Keywords Engagement � Role quality � Productive aging � Rasch measurement �Paid work � Volunteering � Caregiving � Informal helping

1 Introduction

Expectations about employment and other productive activities in later life are shifting. As

increasing numbers of older adults confront 15, 20, or even 30 years of relatively healthy

living beyond conventional retirement ages, society is just starting to grapple with how

older adults will want or need to spend their later life years and what their quality of life

will be. Policymakers and practitioners alike are being called upon to ensure that oppor-

tunities for purposeful living—which we know is critical to quality of life (Ryff and Singer

1998)—are available and accessible during these years. In order to accomplish this goal, it

is important to promote and support role involvement but also to enhance role quality.

Kahn (1990, 1992) suggests that quality is improved when individuals are psychologically

invested in role activities, i.e., engaged. Such engagement leads to active, full, and satis-

fying involvements rather than obligatory or emotionally bland ones. Understood this way,

role engagement can play an important role in one’s overall quality of life and may even

serve to promote and/or restore positive health and well-being in later life (e.g., Kielhofner

2008; Rowe and Kahn 1998a, b; Svanborg 2001).

Some roles appear to provide not only individual, but social benefits. Productive aging

proponents, for example, emphasize continued involvement in roles that produce goods or

services—whether paid or not (Herzog et al. 1989)—for maintaining health and vitality as

well as a sense of purpose in later life (Baker et al. 2005; Morrow-Howell et al. 2001).

These activities include paid work, caregiving, volunteering, and informal helping as

opposed to consumptive activities or activities that primarily benefit the individual (e.g.,

hobbies, watching TV, or exercising) (Morrow-Howell et al. 2001; Toepoel 2013).

The productive aging focus has received increasing attention as the movement toward

‘‘second acts for the greater good’’ gains momentum (e.g., encore.org). However, research

examining the effect of productive role occupancy per se on psychological well-being among

older adults has received mixed support (see Matz-Costa et al. in press). Further, while

several mechanisms have been purported to link role occupancy to health and well-being,

such mechanisms have not been empirically tested. This gap in the literature may be due, in

part, to inattention to role quality, and difficulties in measuring it across multiple roles.

Matz-Costa et al. (in press) make the distinction between engagement as involvement in

an activity (i.e., I engage in volunteer work on a regular basis) and engagement as one’s

subjective experience of an activity (i.e., I was very invested in my volunteer work today).

While studies of activity engagement in later life tend to focus on involvement, few studies

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have focused on engagement, perhaps due to the lack of measures that assess engagement

across productive roles (PRs). Thus, it is timely and important, from a research perspective,

to develop an ‘‘engagement portfolio’’ measure that can be used to empirically specify the

relationships among involvement, engagement, and health and well-being in later life.

Further, few tools exist to help practitioners who work with older adults in community or

medical settings to assess whether their clients assume different roles, such as caregiving

and volunteering, and the extent to which they are engaged (or not engaged) in these roles.

Such an assessment tool could help older adults to identify opportunities and barriers to

becoming involved in more positive, holistically engaging roles that could, in turn, have

important implications for health and well-being outcomes, both from a preventative as

well as restorative perspective.

The aim of the current study is to draw from the work engagement literature to define

engagement as role quality and to develop a measure—The Productive Engagement

Portfolio (PEP)—that can be used to assess engagement in PRs among older adults. By

proposing a definition and measure that is independent, or invariant, across diverse roles,

we demonstrate the robustness of the engagement construct and its applicability to a broad

range of PRs. We also emphasize the practical utility of our measure by going one step

further than most measure development studies to create score conversion charts that

translate PEP scale scores into a form that is readily transparent and usable for practitio-

ners. We focus on four PRs: workers (defined as those working for pay), volunteers

(defined as those providing unpaid work for a national or local organization), adult care-

givers (defined as those helping an adult who has trouble taking care of themselves), and

informal helpers (defined as those providing unpaid help to someone who does not reside

with them—excluding adult caregiving).

1.1 Conceptualizing and Measuring Engagement

Theories that specify how individuals occupy different roles to varying degrees can pro-

vide insight into subjective role quality. Goffman (1961) long ago distinguished between

role embracement, where individuals feel inseparable from their roles, and role distancing,

where individuals feel removed from their roles (e.g., feigning excitement). Each of these

states are indicators of subjective role quality. Kahn (1990) applied the notion of role

embracement to the work role specifically, asserting that individuals protect themselves

from being alienated, on the one hand, or overwhelmed on the other, by alternately pulling

away from and moving toward their work roles.

Kahn coined the terms ‘‘personal engagement’’ and ‘‘personal disengagement’’ to

describe these calibrations of ‘‘self-in-role.’’ He defined personal engagement as ‘‘the

simultaneous employment and expression of a person’s ‘preferred self’ in task behaviors

that promote connections to [the] work and to others, personal presence (physical, cog-

nitive, and emotional) and active, full performances’’ (Kahn 1990, p. 700). Kahn thus

conceptualized engagement as a unique and important motivational state characterized by a

desire to invest one’s valuable resources into a role performance and to persist despite

obstacles. Personal disengagement, conversely, was described as ‘‘the uncoupling of selves

from…roles…[where] people withdraw and defend themselves physically, cognitively, or

emotionally during role performances’’ (p. 694).

Several approaches to the measurement of work engagement have emerged in the

academic literature, four of which were informed by Kahn (1990). Rothbard (2001) and

Saks (2006) developed items to capture Kahn’s idea of psychological presence, while both

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May et al. (2004) and Rich et al. (2010) created items to assess each of Kahn’s three

dimensions of engagement (physical, emotional, cognitive).

Two additional scales conceptualize engagement (or its components) as a continuum.

The Maslach Burnout Inventory (Maslach et al. 1996) measures burnout, whereas its

reverse measures engagement. Likewise, the reverse of the disengagement subscale of the

Oldenburg Burnout Inventory (Demerouti et al. 2003) is used to measure engagement.

In a third line of research, engagement is seen as a construct in its own right. In other

words, it is not viewed as part of the burnout continuum, but as the positive antithesis of

burnout theoretically. The Utrecht Work Engagement Scale (UWES) (Schaufeli and

Bakker 2003), one of the most oft-cited measures of engagement in the academic literature,

defines it as ‘‘a positive, fulfilling work-related state of mind characterized by vigor,

dedication, and absorption’’ (Schaufeli et al. 2006, p. 702).

Each of these measurement efforts has made important contributions to the field and has

informed the current study in many ways. Like Rothbard (2001), May et al. (2004), Saks

(2006), and Rich et al. (2010), our measure is informed by Kahn’s theory. Similar to

Maslach et al. (1996) and Demerouti et al. (2003), we a priori theorized engagement as a

construct existing on a continuum, albeit one that ranges from low engagement to high

engagement, as evidence suggests that burnout is not necessarily the direct opposite of

engagement (Demerouti et al. 2010). Finally, like Schaufeli et al. (2006), we see

engagement as an affective-cognitive state, though we seek to expand this conceptuali-

zation to other PRs. In our view, engagement is characterized by positive affective and

cognitive states while performing any PR, not necessarily limited to work. Therefore, we

contend that work engagement represents just one of many settings within which varying

levels of engagement occur.

2 Method

2.1 Construct Definition

We see engagement as a situation-activated, affective-cognitive state. Engagement is

defined as:

A positive, enthusiastic, and affective connection with a role that both motivates and

energizes individuals. Engagement is characterized by a high degree of investment of

personal energies (whether physical, cognitive, or emotional) into a role, being

highly focused on the role activities to the point where other thoughts and distrac-

tions melt away, and an expression of genuine interest in the role.

Highly engaged individuals feel enlivened and invigorated by their PRs. Low

engagement is characterized by a lack of investment of personal energies (physical, cog-

nitive, or emotional), a lack of focus (distracted or thinking about other things), and a lack

of interest in role activities. Unengaged individuals feel indifferent about their role

involvement—in essence they are just ‘‘showing up’’.

Our instrument seeks to capture engagement as a unidimensional construct that assesses

different levels of interest, focus, and energy experienced while enacting a role. While

existing measures of work engagement generally conceptualize engagement as having

three dimensions, empirical psychometric tests have been largely inconclusive as to the

extent to which a 3-, 2-, or 1-factor model best fit the data. For example, some studies have

failed to find a clear factor solution for the UWES using exploratory or confirmatory

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approaches (e.g., Muilenburg-Trevino 2009; Sonnentag 2003). Thus, it is usually recom-

mended that the items can be treated as 1 factor for analyses, scoring, and reporting

(Schaufeli and Bakker 2003).

We argue that at the highest level of engagement, the facets of interest, energy, and

focus come together such that they cannot be disentangled. We also suggest that the

construct of engagement should be measured on an explicit continuum, ranging from

unengaged to highly engaged. As individuals move up the engagement continuum, we

theorize that they will exert more energy, display greater focus, and express higher interest

in their activity.

Given this definitional framework, we employed a Rasch measurement approach as the

appropriate assessment strategy. This item response theory approach assumes that scale

items are hierarchical in their degree of progression up the construct ‘‘ladder’’ (e.g.,

increasing difficulty/intensity/endorsement/severity) (Rasch 1960/1980). Item parameter

estimates then pertain to the difficulty of items ranging from an easier to achieve affective-

cognitive state (e.g., just showing up) through a more difficult to achieve affective-cog-

nitive state (e.g., immersing oneself completely in an activity). Person parameter estimates

pertain to the level of engagement that people have achieved on the continuum. Hence we

get a clear description of the level of interest-energy-focus that characterizes a low scoring

person versus the level of interest-energy-focus that characterizes a higher scoring person.

None of the existing instruments reviewed here were designed to explicitly include hier-

archically structured items (although some have applied item response theory—Rasch or

otherwise—in a post hoc fashion to scales that had been developed under classical test

theory assumptions, e.g., Gonzalez-Roma et al. 2006).

Our theoretical mapping of the construct in a hierarchical, multi-faceted fashion can be

seen in Table 1.

2.2 Item Generation

The items for each PEP scale, i.e., one each for work (PEP-W), formal volunteering (PEP-

V), adult caregiving (PEP-C), and informal helping (PEP-H), were generated through an

iterative process to ensure both face and content validity. We first generated an item pool

based on the theoretical framework described above, along with feedback from three 1.5-h

focus groups with older adults in community settings. We developed two parallel pools of

items using two different scaling approaches, one in which response options ranged from 1

(strongly disagree) to 7 (strongly agree)—a Likert-based approach (Likert 1932)—and

another in which respondents were asked to choose his or her position on a 7-point scale

between two bipolar adjectives or concepts—a semantic differential approach (Osgood

1952).

A common concern in the measurement of positive psychological constructs is

acquiescence bias (Friborg et al. 2006), which can occur when scales consist only of

positively worded items. The traditional remedy, however, of transforming positive items

into their reverse, ‘‘… may introduce errors, as negations of positive constructs may

appear contra-intuitive’’ (Friborg et al. 2006, p. 873) and may lead to an artificial factor

structure since positively worded items and negatively worded items tend to factor

separately (Bakker and Demerouti 2008). Friborg and colleagues, using a measure of

resilience, found that a semantic differential response format, in which some of the items

were presented in their negative form by placing the positive differentials on the right for

half of the items and on the left for the rest, effectively reduced acquiescence bias

without diminishing psychometric properties. We employed a semantic differential

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approach as a complementary measure of engagement in an effort to address these

potential weaknesses.

In both approaches (Likert-based—named PEP-WL, PEP-VL, PEP-CL, and PEP-HL—

and semantic differential—named PEP-WSD, PEP-VSD, PEP-CSD, and PEP-HSD), we

devised items that explicitly captured low, low moderate, moderate, high moderate, and

high levels of engagement, guided by our theoretical mapping of the engagement construct

presented in Table 1. This meant crafting items to represent low to high engagement for

each of our theoretical domains (interest, focus, and energy) for each of our four PRs. We

originally conceptualized perseverance as a fourth domain but later collapsed it with

energy to maintain a natural wording of items.

Scale development proceeded through four pilot samples and one full scale admin-

istration. Pilot 1 was conducted with friends, family and co-workers to gain feedback on

the extent to which the item wording and response options were clear or confusing.

Pilot 2 was conducted with older adult volunteers from community settings to get

feedback on the degree to which the items across the PRs appropriately captured their

lived experiences. Pilot 3 was conducted with graduate students in research methods

and psychometrics courses to ask about double-barreled item structures, preferences for

different response options, ambiguity in terms, and transparency in ‘‘correct’’ responses.

Pilot 4 was aimed at producing a sample of 50 older adults in each of three roles—paid

work, volunteering, and caregiving—in order to run initial Rasch models to explore

how the items were functioning. Respondents were recruited from Survey Sampling

International’s (SSI) diverse web panel of survey respondents ages 50–64 and age 65

plus.

Each pilot was analyzed and revisions made before the next was administered—words

were eliminated or replaced when they were confusing, items were dropped when

redundant, and new items were added to fill in gaps in the engagement continuum. Thus, an

initial pool of items was developed that worked well across each of the PRs and for each of

the response formats. The 17 initial Likert and semantic differential items are presented in

Table 2. A high total score on either the Likert-based scale or the semantic differential

scale indicates a higher level of engagement. Scores could range from 17 to 119.

Table 1 Theorized hierarchical mapping of the engagement construct

Interest Energy Focus

Highengagement

Strongidentification/embracement

Receives energies back frominvolvement

Completely wrapped up in it,in a positive way/transcendent

Highmoderateengagement

Becomes fun/like play

Devote a lot of personal energies andwant (am motivated) to keep devotingenergies/persevere

Time passes quickly/thoughts of other thingsfade to the background

Moderateengagement

Enthusiastic/excited

Devote significant personal energies toit/at least some discretionary effort

Focus in

Lowmoderateengagement

Basic interest Invest enough energy to do a good job Pay attention

Lowengagement

Uninterested/Bored

Invest the minimum amount of energy toget by/Give up when pushed

Unattentive/distracted

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Table 2 Semantic differential and likert-based item pool generation

Semantic differential item Likert-based item Theoreticaldomain

Label

1 When it comes to my activities, Iusually [go well above and beyondwhat is required/do the minimumrequired] (REV)

When it comes to my activities, Iusually go well above and beyondwhat is required

Energy

2 When it comes to my activities,getting so focused that I forgeteverything else around me is[easy/difficult] (REV)

When it comes to my activities,getting so focused that I forgeteverything else around me is easy

Focus F2

3 Pushing myself to accomplish goalswithin my activities is something[I avoid/I really enjoy]

Pushing myself within my activitiesis something I really enjoy

Energy E3

4 To say I feel invigorated when I aminvolved in my activities would be[an understatement/anexaggeration] (REV)

To say I feel invigorated wheninvolved in my activities would bean understatement

Energy E1

5 When I am involved in my activities, Iusually find that [time goes byslowly/time flies]

When I am involved in my activities, Iusually find that time flies

Focus

6 When it comes to my activities, Iusually feel [enthusiastic/indifferent] (REV)

I feel enthusiastic about myactivities

Interest I3

7 When I am involved in my activities,other thoughts and worries [are onmy mind/fade to the background]

When I am involved in my activities,other thoughts and worries fade tothe background

Focus

8 When I am involved in my activities,it feels like [a chore/fun]

When I am involved in my activities,it feels like fun

Interest

9 When I am involved in my activities,I usually [give my full attention/tend to pay only minimalattention] (REV)

When I am involved in my activities,I usually give my full attention

Focus F3

10 To me, my activities are[fascinating/rather unstimulating](REV)

To me, my activities are fascinating Interest I2

11 When I am involved in my activities, Iusually [welcome distractions/resistdistractions]

When I am involved in my activities, Iusually resist distractions

Focus

12 For me, experiencing strong positiveemotions when involved in myactivities (like inspiration, pride,or passion) is [atypical/typical]

For me, experiencing strong positiveemotions when involved in myactivities (like inspiration, pride,or passion) is typical

Interest I1

13 When it comes to investing myphysical, intellectual, and/oremotional energy into my activities,I usually [am eager to do so/have toforce myself] (REV)

I am eager to invest my physical,intellectual, and/or emotional energyinto my activities

Energy

14 I find my activities to be [dull/interesting]

I find my activities to be interesting Interest

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2.3 Sample

The full-scale, formal administration of the 17-item PEP was stratified for activity

involvement: 120 paid workers, 120 volunteers, 120 caregivers, and 120 informal helpers.

Participants were asked to complete both scales (Likert-based and semantic differential)

for just one of their current activities. The 480 individuals ranged from age 50–89

(M = 63.18; SD = 8.32). Respondents were 60.6 % female; 38.8 % with a bachelor’s

degree or higher; 90.9 % Caucasian; 57.9 % married/cohabitating; and 92.1 % living

independently. The sample was obtained using the same approach as pilot 4 described

above, with the stratification for age and activity involvement yielding 120 respondents per

role, rather than 50.

Respondents’ involvement in each of the roles was determined using questions derived

from the Americans’ Changing Lives Study (House 2003). Paid employment was assessed

by asking respondents whether they currently work for pay; volunteering by asking if they

did volunteer work in the last 4 weeks for any national or local organization (e.g., a church

or other religious organization, a school or educational organization, etc.); caregiving by

asking if they currently were involved in helping a friend or relative age 18 or older who

has trouble taking care of themselves because of a physical or mental illness, disability, or

for some other reason (includes caring for them directly or arranging for their care by

others); and, informal helping by asking if they provided unpaid help in the last 4 weeks to

someone who does not reside with them (excluding ill/disabled), including providing

transportation, shopping, running errands, helping with housework or car maintenance, or

providing childcare.

2.4 Rasch Measurement Model

As described more fully in Ludlow et al. (2013), the Rasch model (1960), in addition to

being a statistical model to estimate item response probabilities, proposes measurement

principles that aid in the construction of a ‘‘set of well chosen test problems’’ (p. 78). These

include the notion that the construct can be conceptualized as a continuum ranging from

lower to higher levels, the items should demonstrate wide variation and uniform spread

Table 2 continued

Semantic differential item Likert-based item Theoreticaldomain

Label

15 For me, getting so wrapped up inmy activities that I practicallyhave to tear myself away is [afrequent occurrence/a rareoccurrence or does not happen](REV)

I frequently get so wrapped up inmy activities that I practicallyhave to tear myself away

Focus F1

16 When I am involved in my activities,I usually feel [bursting withenergy/sluggish] (REV)

When I am involved in my activities,I usually feel bursting with energy

Energy E2

17 When it comes to my activities, I[barely invest the energy necessaryto complete the job/invest theenergy necessary to do a good job]

When it comes to my activities, Iinvest the energy necessary to do agood job

Energy

Bold indicates items retained in the final 9-item scale

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defining the hypothesized continuum, and the items should be hierarchical in their pro-

gression along this continuum.

Based upon these principles, the initial set of items were written, administered and

analyzed. Decisions about which items to retain or revise were guided first and foremost by

our theoretical construct mapping (Ghiselli et al. 1981). Thus, items that did not display a

close match between their theoretical and empirical ordering along the engagement con-

tinuum were discarded. Second, we sought consistency in the progression of items across

all PRs. Our goal was to develop a measure of engagement that was invariant across all 4

role types. Hence, items were discarded when the hierarchical progression differed sig-

nificantly across roles or across Likert-based and semantic differential approaches. Third,

to be sure that each of our theoretical domains (interest, energy, and focus) was adequately

sampled at the low, moderate and high levels of our proposed construct hierarchy, we

retained at least three items per domain. However, we also sought to keep each of the eight

possible scales (four roles-by-two measurement approaches) as short as possible. Finally,

items that were highly ‘‘misfitting’’ under the Rasch model (described in further detail

below) were omitted as well as items with the lowest factor analysis loadings. The final

9-items, bolded in Table 2, represent those that best met the above criteria across PRs and

that were thought to be meaningful and representative of the theoretical engagement

domain.

2.5 Statistical Analyses

The Rasch rating scale model (Andrich 1978; Rasch 1960; Wright and Masters 1982) was

employed for analyses of the eight sets of items. This model is appropriate when the

response categories have an order in their probability of response that stays the same across

all the items in a scale—whether the scale is Likert-based or semantic differential-based.

The model produces for each item and person a ‘‘difficulty’’ and ‘‘level of engagement’’

estimate, respectively. These estimates are reported as logits (Wright and Masters 1982;

Ludlow and Haley 1995). Higher scoring (highly engaged) people and harder to achieve or

agree with items will have positive logit estimates while lower scoring (not highly

engaged) people and easier to achieve or agree with items will have negative estimates. As

shown below, these person and item estimates simultaneously portray the progression of

the items as they define the continuum forming the engagement construct and the location

of each person’s level of engagement along the continuum. The WINSTEPS software

package (Wright and Linacre 1998, Version 3.73.0) was used for these analyses.

3 Results

Figure 1 contains the ‘‘variable map’’ for the Volunteer Engagement Semantic Differential

Scale (PEP-VSD). This specific role and measurement approach was chosen to illustrate

the features and details that a Rasch analysis yields. The other seven scale variations

underwent the same analysis and interpretation process.

The left column in Fig. 1 represents individual persons (designated by pound signs and

periods) and the right column represents individual items (designated by abbreviations

which are keyed to Table 2). The items are ordered by their logit estimates from easiest to

positively endorse (bottom of the map) to hardest to positively endorse (top of the map).

Similarly, the participants are ordered from lowest scoring (bottom of the map) to highest

scoring (top of the map). Only high scoring people are expected to strongly endorse the

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hard items (and all items below the hardest ones). Similarly, low scoring people are

expected to strongly endorse only the easiest items and weakly endorse, if at all, the items

above them. The ‘‘M’’ to the right represents the mean item difficulty—which is set for

Fig. 1 Map of Rasch measurement person and item hierarchies for the volunteer semantic differential scale(PEP-VSD, item numbers keyed to Table 2). Person n = 120, Item n = 9; each ‘‘#’’ is 3 persons, each ‘‘.’’ is1–2 persons, the ‘‘=’’ indicates that 6 empty lines were deleted. The map was restricted to be consistent withthe maps of other roles, i.e., persons scoring above ?2 are located at 2 on this map

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statistical reasons at zero. The ‘‘A’’ to the left represents the person average level of

engagement. If we are successful in terms of Rasch principles, our engagement scale

should progress meaningfully along a continuum of easier-to-harder to endorse engage-

ment levels.

As seen in Fig. 1, starting at the bottom of the volunteer engagement variable map it is

easiest to fully endorse item F3 (give my full attention), followed by item I3 (feel

enthusiastic). I2 (activities are fascinating) is slightly harder, followed by E3 (enjoy

pushing myself to accomplish goals), E2 (feel bursting with energy), and I1 (experience

strong positive emotions). A slight gap occurs in the item distribution and F2 (get so

focused that I forget everything else around me) and E1 (feel invigorated) group together

near the top. F1 (get so wrapped up I have to tear myself away) defines the highest level on

the volunteer engagement variable because it is the hardest to fully endorse.

Together, the items form a ‘ladder that persons climb’ as they become more and more

engaged. The ordering is consistent with our a priori theorizing represented in Table 1 and

while there are some gaps in the structure of the variable—particularly between Il and

F2—overall, there is excellent coverage of the engagement continuum for the volunteer

role with the semantic differential response format.

Analysis of each of the variable maps across the PRs and measurement approaches

(Likert-based and semantic differential) are strikingly similar in terms of the mapping of

the engagement continuum. As shown in Figs. 2 and 3, the easiest (F3: give my full

attention) and hardest (F1: get so wrapped up I have to tear myself away) items are the

same across all PRs and across both measurement approaches. The remaining items,

though not in identical ordering across all eight maps, show great similarity in their

placement. For example, we see consistency in the placement of the energy items across

each of the eight maps, with E1 (feel invigorated) as the most difficult energy item to

endorse, followed by E2 (feel bursting with energy), with E3 (enjoy pushing myself to

accomplish goals) as the easiest energy item to endorse. The similarities in the person-item

maps across roles and across measurement approaches provides strong empirical evidence

that (1) the psychological state of engagement is theoretically the same, regardless of the

role, and (2) engagement can be conceptualized (and measured) on a continuum ranging

from low to high engagement.

High correlations between item difficulties for pairs of items across the various roles

(e.g., PEP-WL and PEP-CL, r = .84–.96) and scoring formats (e.g., PEP-WL and PEP-

WSD, r = .90–.97) indicate that the meaning of engagement is the same across role and

format. Also, high correlations (r = .70–.85) between person scores across approaches

(e.g., PEP-WL and PEP-WSD) indicate that the meaning of engagement for a person

produces the same score interpretation regardless of which scoring approach is taken.

3.1 Goodness-of-Fit

Rasch goodness-of-fit analyses for both items and persons are generally based upon

residuals, i.e. the difference between an observed response and the response expected

under the statistical model (Wright and Masters 1982; Ludlow 1983). The INFIT, reported

in Table 3, is a variance-weighted average of the squared standardized item residuals.

Positive ZSTD (similar to a z-statistic) and MNSQ values larger than 1.0 occur when

responses are unexpectedly high or low. Negative ZSTD and MNSQ values less than 1.0

occur when responses are more consistent than expected. We chose to use moderate-valued

criteria in order to not overlook indications of misfit and we used them in combination with

Measurement of Productive Engagement in Later Life

123

Page 12: The Meaning and Measurement of Productive Engagement in Later Life

one another. Hence we focused on MNSQ values greater than 1.4 and ZSTD values greater

than 3.0.

Given that there are (9 items*8 scales) = 72 fit statistics to consider and that some

percentage may be expected to be relatively large simply due to chance, we observe only

six instances where one of the items provoked unexpected responses on one of the 72

combinations of roles and measurement formats: (1) F1 on Volunteer-L; (2) F2 on Work-L;

(3) F3 on Caregiving-L; (4) E1 on Caregiving-L; (5) F1 on Work-SD; and (6) I1 on

Caregiving-SD. There appears to be no item-specific, measurement format-specific, or

role-specific problem although caregiving did have three instances out of 18 possible

where some degree of unexpected responses occurred (Table 4).

Fig. 2 Maps of Rasch measurement person and item hierarchies across roles for semantic differential scales(item numbers keyed to Table 2). Person n = 120, Item n = 9; each ‘‘#’’ is 3 persons, each ‘‘.’’ is 1–2persons, each‘‘=’’ indicates that 5 empty lines were deleted. Maps were restricted to show an identical rangeacross roles, i.e., persons scoring above ?2 are located at 2 on these maps

C. Matz-Costa et al.

123

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One of the purposes of developing both Likert-based scales and semantic differential

scales was to assess whether a semantic differential approach could mitigate against the

afore-mentioned acquiescence bias. Like many existing work engagement scales (e.g., the

UWES), only positively keyed Likert-based items were included in the final analyses due

to the fact that in initial piloting all reverse-keyed Likert-based items were discarded

because they did not meet the criteria described above. The semantic differential format,

however, allowed for half of the items to be negatively keyed while also meeting item

retention criteria. But did this approach actually reduce the acquiescence bias? The

‘‘person separation’’ statistics (Wright and Masters 1982) ranged from 2.76 to 3.58 for the

Likert-based scales and from 1.89 to 2.17 for the semantic differential scales, suggesting

that the semantic differential approach did not, in fact, address this issue any better than the

Likert-based approach (see Ludlow et al. 2013).

Fig. 3 Maps of Rasch measurement person and item hierarchies across roles for likert-based scales (itemnumbers keyed to Table 2). Person n = 120, Item n = 9; each ‘‘#’’ is 3 persons, each ‘‘.’’ is 1–2 persons.Maps were restricted to show an identical range across roles, i.e., persons scoring above ?2 are located at 2on these maps. Person mean ‘‘A’’ for the volunteer role fell outside the displayed range of the map at 2.54

Measurement of Productive Engagement in Later Life

123

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Ta

ble

3R

asch

item

fit

stat

isti

csfo

rre

duce

d9-i

tem

bes

tfi

ttin

gm

odel

s:li

ker

t-bas

edver

sion

Item

Wo

rkV

olu

nte

erC

areg

ivin

gIn

form

alh

elpin

g

dIn

fit

MN

SQ

Infi

tZ

ST

Dd

Infi

tM

NS

QIn

fit

ZS

TD

dIn

fit

MN

SQ

Infi

tZ

ST

Dd

Infi

tM

NS

QIn

fit

ZS

TD

(1)

F1

1.2

11

.10

.81

.35

1.4

53

.0.8

21

.07

.51

.53

1.2

82

.0

(2)

F2

.37

1.4

22

.8.9

01

.27

1.9

.42

1.0

4.4

.73

1.3

92

.5

(3)

F3

-1

.52

1.0

3.2

-1

.54

.93

-.4

-1

.59

1.4

73

.1-

1.7

0.9

4-

.4

(4)

E1

.42

1.1

91

.4.8

11

.02

.2.4

31

.59

3.8

.42

.72

-2

.1

(5)

E2

.43

.83

-1

.3.4

1.7

5-

1.9

.32

.65

-2

.9.2

8.8

0-

1.5

(6)

E3

-.0

1.8

4-

1.2

-.1

31

.05

.4.1

4.6

1-

3.4

-.2

7.7

7-

1.7

(7)

I1.0

1.8

9-

.8-

.45

1.1

-.3

91

.07

.6-

.35

1.1

31

.0

(8)

I2-

.17

.85

-1

.1-

.38

.85

-1

.1.2

7.7

6-

1.9

.42

.98

-.1

(9)

I3-

.73

.77

-1

.7-

.96

.63

-2

.9-

.43

.69

-2

.5-

1.0

6.7

5-

2.0

Sep

.a5

.88

6.4

15

.70

6.9

8

aS

ep.

refe

rsto

‘‘se

par

atio

n’’

—th

eex

tent

tow

hic

hth

eit

ems

are

no

n-o

ver

lap

pin

gin

thei

rd

efinit

ion

of

the

con

stru

ct.

Itis

the

rati

oo

fth

est

andar

dd

evia

tio

no

fth

eit

emes

tim

ates

toth

em

ean

stan

dar

der

ror

of

tho

sesa

me

esti

mat

es

C. Matz-Costa et al.

123

Page 15: The Meaning and Measurement of Productive Engagement in Later Life

Tab

le4

Ras

chit

emfi

tst

atis

tics

for

reduce

d9-i

tem

bes

tfi

ttin

gm

odel

s:se

man

tic

dif

fere

nti

alver

sion

Item

Work

Volu

nte

erC

areg

ivin

gIn

form

alhel

pin

g

dIn

fit

MN

SQ

Infi

t

ZS

TD

dIn

fit

MN

SQ

Infi

t

ZS

TD

dIn

fit

MN

SQ

Infi

t

ZS

TD

dIn

fit

MN

SQ

Infi

t

ZS

TD

(1)

F1

.83

1.4

73.2

.91

1.1

61.2

.74

1.3

22.3

1.2

01.3

32.4

(2)

F2

.01

1.1

41.0

.58

1.0

6.5

.15

1.2

31.7

.47

1.4

62.9

(3)

F3

-1.2

3.7

2-

2.1

-.9

91.3

32.2

-.9

71.1

21.0

-1.1

2.7

9-

1.8

(4)

E1

.66

1.0

8.7

.64

1.4

32.9

.52

1.0

2.2

.47

.81

-1.3

(5)

E2

.19

.52

-4.3

.00

.51

-4.3

.12

.68

-2.7

-.1

5.7

1-

2.4

(6)

E3

-.4

41.0

9.7

-.1

5.9

9.0

-.3

8.7

5-

2.1

-.3

81.1

31.1

(7)

I1.1

71.2

71.9

.04

1.3

32.2

-.2

21.6

94.6

.05

1.2

01.5

(8)

I2.0

7.8

4-

1.2

-.3

7.6

9-

2.5

.20

.44

-5.5

.08

.69

-2.5

(9)

I3-

.26

.66

-2.8

-.6

6.5

0-

4.5

-.1

7.6

8-

2.8

-.6

3.6

4-

3.3

Sep

.a5.7

75.3

35.1

06.3

6

aS

ep.

refe

rsto

‘‘se

par

atio

n’’

—th

eex

tent

tow

hic

hth

eit

ems

are

non-o

ver

lappin

gin

thei

rdefi

nit

ion

of

the

const

ruct

.It

isth

era

tio

of

the

stan

dar

ddev

iati

on

of

the

item

esti

mat

esto

the

mea

nst

andar

der

ror

of

those

sam

ees

tim

ates

Measurement of Productive Engagement in Later Life

123

Page 16: The Meaning and Measurement of Productive Engagement in Later Life

4 Discussion

The purpose of this study was to propose a definition of engagement that is invariant across

role types, and to present evidence of a new, Rasch-based (1960) measure of engagement

in the later life productive activities of paid work, volunteering, caregiving, and informal

helping—the PEP. Evidence suggests that the PEP scales hold promise for illuminating the

lived experiences of role involvement among older adults. Specifically, results of Rasch

measurement models provide strong empirical support that: (1) the psychological state of

engagement can be conceptualized and measured on a meaningful continuum defining a

unidimensional and hierarchical construct ranging from lower to higher levels of

engagement; (2) the technical characteristics of the items are invariant across diverse PRs

for both Likert-based and semantic differential approaches; and (3) the meaning of person

scores within a role is independent of the response format. These findings demonstrate the

robustness of the engagement construct and its applicability to a broad range of PRs.

While the semantic differential scales were not found to address acquiescence problems

frequently observed within Likert-based measures of positive psychology constructs, they

did allow for both positively- and negatively-keyed items to be included in the scale, which

can be beneficial in flagging respondents who are not reading questions carefully.

4.1 Value of the Engagement Scales

The importance of defining and assessing this indicator of role quality for an older adult

population within PRs is evident in research that has demonstrated a relationship between

involvement in PRs and measures of health and subjective well-being, such as life satis-

faction, positive self-concept and reduced rates of depression and mortality (Baker et al.

2005; Bambrick and Bonder 2005; Lum and Lightfoot 2005; Rozario et al. 2004). The

mechanisms through which these activities exert their effects on health and subjective

well-being are unclear, but insights from the work engagement literature suggest that

engagement may play a key role in this process (Bakker and Leiter 2010; Torp et al. 2013).

The present investigation contributes to the building of a nomological net (Cronbach and

Meehl 1955) for a more broadly conceptualized engagement construct that can be used to

examine these pathways more fully.

4.2 Practical Applications of the Engagement Scales

Since scores on Rasch scales represent a person’s location within a carefully scaled series

of items, one is able to directly interpret what a given score on the measure means along

with what it would take to move an individual from a given location on the scale to a

higher one. We take the Rasch approach one step further than most Rasch measure

development studies by creating score conversion charts (see Tables 5, 6) which make it

possible to delineate how the actual raw scores of people translate into locations on the

engagement variable and what it means to be at a particular location. For example, say a

person had a score of 36 on the Likert-based version of the volunteer scale (PEP-VL-

Table 5). We can say that this individual has low to moderate engagement on our scale and

on average, feels neutral about the items that were placed on the item hierarchy at roughly

this level and those just above this level, but slightly disagrees with the items at the highest

level and agrees to some extent with the items below this level. More specifically a score of

36 on the PEP-VL suggests that the person tends to give his or her full attention, feels

enthusiastic, sometimes experiences strong positive emotions, may find their activities to

C. Matz-Costa et al.

123

Page 17: The Meaning and Measurement of Productive Engagement in Later Life

Ta

ble

5S

core

con

ver

sio

nch

art:

lik

ert-

bas

edv

ersi

on

Work

Volu

nte

erC

areg

ivin

gH

elpin

gE

ngag

emen

t

level

Des

crip

tion

of

score

Des

crip

tion

of

engag

emen

tex

per

ience

Item

s

63

63

63

63

Hig

hes

t

engag

emen

t

Thes

epeo

ple

stro

ngly

agre

ew

ith

all

item

s

54–62

54–62

54–62

54–62

Extr

emel

y

hig

h

engag

emen

t

On

aver

age,

thes

epeo

ple

agre

eor

stro

ngly

agre

ew

ith

ever

yit

em

Com

ple

tely

wra

pped

up

inth

eta

sk,

toth

e

poin

tof

hav

ing

tote

arth

emse

lves

away

.

Extr

emel

yfo

cuse

d,

ener

giz

ed,

and

inte

rest

edin

the

task

44–53

45–53

41–53

44–53

Hig

h

engag

emen

t

Thes

epeo

ple

–to

var

yin

gdeg

rees

–gen

eral

ly

agre

ew

ith

all

the

item

s

Alw

ays

giv

efu

llat

tenti

on—

toth

epoin

tth

at

they

forg

etab

out

oth

erth

ings.

Fas

cinat

ed

by

acti

vit

ies

and

freq

uen

tly

exper

ience

stro

ng

posi

tive

emoti

ons.

Invig

ora

ted

by

acti

vit

ies

and

ver

ym

uch

enjo

ypush

ing

them

selv

es;

hav

eto

tear

them

selv

esaw

ay

from

the

task

F1:

Hav

eto

tear

myse

lf

away

(W,

V,

C,

H)

40–43

41–44

39–40

40–43

Hig

h

moder

ate

engag

emen

t

On

aver

age,

thes

epeo

ple

feel

neu

tral

about

the

item

sin

this

sect

ion

and

inth

eab

ove

sect

ion.

They

agre

eto

som

eex

tent

wit

hth

e

item

sin

the

bel

ow

sect

ions

Giv

efu

llat

tenti

on,

feel

enth

usi

asti

c,

exper

ience

stro

ng

posi

tive

emoti

ons,

find

acti

vit

ies

fasc

inat

ing,

and

hav

ea

lot

of

ener

gy.

Not

nec

essa

rily

invig

ora

ted

by

acti

vit

ies,

nor

sofo

cuse

dth

atev

eryth

ing

else

isfo

rgott

en.

Does

not

hav

eto

tear

self

away

F2:

So

focu

sed

that

I

forg

etev

eryth

ing

else

(W,

V,

C,

H)

E1:

Fee

lin

vig

ora

ted

(W,

V,

C,

H)

E2:

Burs

ting

wit

h

ener

gy

(W,

V,

C).

I2:

Act

ivit

ies

are

fasc

inat

ing

(H)

36–39

36–40

37–38

36–39

Low moder

ate

engag

emen

t

On

aver

age,

thes

epeo

ple

feel

neu

tral

about

the

item

sin

this

sect

ion

and

the

above

sect

ion,

but

slig

htl

ydis

agre

ew

ith

the

item

inth

eto

pse

ctio

n.

They

agre

eto

som

e

exte

nt

wit

hth

eit

ems

inth

ebel

ow

sect

ions

Giv

efu

llat

tenti

on,

feel

enth

usi

asti

c,

som

etim

esex

per

ience

stro

ng

posi

tive

emoti

ons,

may

find

acti

vit

ies

fasc

inat

ing,

and

som

etim

eshav

ea

lot

of

ener

gy.

Not

nec

essa

rily

invig

ora

ted

by

acti

vit

ies,

nor

so

focu

sed

that

ever

yth

ing

else

isfo

rgott

en.D

o

not

hav

eto

tear

them

selv

esaw

ay

E3:

Push

ing

myse

lfis

som

ethin

gI

real

ly

enjo

y(W

,V,C

,H

)

I1:

Exper

ienci

ng

stro

ng

posi

tive

emoti

ons

typic

al(W

,V

,H

).

I2:

Act

ivit

ies

are

fasc

inat

ing

(W,

V,

C)

E2:

Burs

ting

wit

h

ener

gy

(H)

Measurement of Productive Engagement in Later Life

123

Page 18: The Meaning and Measurement of Productive Engagement in Later Life

Tab

le5

con

tin

ued

Work

Volu

nte

erC

areg

ivin

gH

elpin

gE

ngag

emen

t

level

Des

crip

tion

of

score

Des

crip

tion

of

engag

emen

tex

per

ience

Item

s

27–35

27–35

27–36

27–35

Low en

gag

emen

t

On

aver

age,

thes

epeo

ple

slig

htl

ydis

agre

eor

feel

neu

tral

about

the

item

inth

isse

ctio

n,

and

are

likel

yto

be

neu

tral

tow

ard

the

item

inth

ebel

ow

sect

ion.T

hey

tend

todis

agre

e

wit

hit

ems

above

this

sect

ion

Giv

eth

eir

atte

nti

on,

but

do

not

hav

ehig

h

level

of

inte

rest

or

dev

ote

agre

atdea

lof

ener

gy

tota

sk

I3:

Fee

len

thusi

asti

c(W

,

V,

C,

H)

I1:

Exper

ienci

ng

stro

ng

posi

tive

emoti

ons

typic

al(C

)

9–26

9–26

9–26

9–26

Extr

emel

y

low

engag

emen

t

Thes

epeo

ple

dis

agre

e–to

var

yin

gdeg

rees

wit

hal

lit

ems

Do

not

pay

atte

nti

on

toth

eta

skan

ddo

not

dev

ote

ener

gy

nor

hav

ein

tere

stin

task

F3:

Giv

em

yfu

ll

atte

nti

on

(W,

V,

C,

H)

Ther

ear

ea

few

dis

crep

anci

esin

term

sof

whic

hit

ems

fall

inw

hic

hca

tegory

;it

emnum

ber

skey

edto

Tab

le2

C. Matz-Costa et al.

123

Page 19: The Meaning and Measurement of Productive Engagement in Later Life

Ta

ble

6S

core

con

ver

sio

nch

art:

sem

anti

cd

iffe

ren

tial

ver

sion

Wo

rkV

olu

nte

erC

areg

ivin

gH

elp

ing

En

gag

emen

tle

vel

Des

crip

tion

of

score

Des

crip

tion

of

engag

emen

tex

per

ience

Item

s

63

63

63

63

Hig

hes

ten

gag

emen

tT

hes

ep

eop

lest

ron

gly

agre

ew

ith

all

item

s

54

–62

54

–62

54

–6

25

4–

62

Ex

trem

ely

hig

hen

gag

emen

t

On

aver

age,

thes

ep

eop

leag

ree

or

stro

ng

lyag

ree

wit

hev

ery

item

Com

ple

tely

wra

pp

edu

pin

the

task

,to

the

po

int

of

hav

ing

tote

arth

emse

lves

away

.E

xtr

emel

yfo

cuse

d,

ener

giz

ed,

and

inte

rest

edin

the

task

46

–53

46

–53

46

–5

34

6–

53

Hig

hen

gag

emen

tT

hes

ep

eop

le–

tov

ary

ing

deg

rees

–g

ener

ally

agre

ew

ith

all

the

item

sA

lway

sg

ive

full

atte

nti

on

—to

the

po

int

that

they

forg

etab

ou

to

ther

thin

gs.

Fas

cinat

edby

acti

vit

ies

and

freq

uen

tly

exp

erie

nce

stro

ng

po

siti

ve

emoti

on

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)

Measurement of Productive Engagement in Later Life

123

Page 20: The Meaning and Measurement of Productive Engagement in Later Life

Ta

ble

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som

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inte

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item

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ry;

item

nu

mb

ers

key

edto

Tab

le2

C. Matz-Costa et al.

123

Page 21: The Meaning and Measurement of Productive Engagement in Later Life

be fascinating, and sometimes has a lot of energy when carrying out this activity. They are

not necessarily invigorated by activities, nor so focused that everything else is forgotten

and they do not have to tear themselves away. This measurement approach not only

describes a person’s status at a given time point and the meaning of a person’s score on the

scale but also provides a roadmap for explaining change (either lower or higher on the

scale) after a second administration of the scale.

The ability to assess change is particularly useful in the development of interventions

(Mayhew et al. 2011), as research has suggested that engagement is indeed malleable

(Heslin 2010). Thus, our scales can easily and meaningfully chart a person’s level of

engagement pre- and post-intervention. The PEP instrument can also be used in survey

research or by practitioners in community or medical settings to assess the extent to which

older adults are involved in roles/activities that enhance their overall quality of life and to

identify opportunities and barriers to engagement.

Acknowledgments This work was supported by a grant from the Alfred P. Sloan Foundation’s Programon Workplace, Work Force and Working Families to the Sloan Center on Aging & Work at Boston College(grant numbers 2008-6-15, 2011-6-23); the Boston College Institute on Aging; the Graduate School ofSocial Work at Boston College; and a Boston College research incentive grant.

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