John B. Gatewood and Dawn E. Murray
[ Copyright (c) 1999, John B. Gatewood & Dawn E. Murray]
Presented at the 98th meetings of the American Anthropological Association, Chicago, Illinois, November 17-22, 1999 (based on Dawn Murray's M.A. Thesis at Lehigh University).
Abstract
Contemporary cognitive anthropology is increasingly studying the social
organization or the distribution of knowledge. Here, we describe a general
method for coupling consensus analysis with social network data and illustrate
the approach using a close-to-home organizational culture as a case in
point. The admissions process in a mid-sized, private university involves
various personnel. To ascertain the extent to which administrators and
faculty share a common culture regarding their students, we gave 51 "admissions-involved"
people a multiple-choice quiz concerning characteristics of the student
body. Then, we collected demographic and social network data to test five
plausible hypotheses concerning how people learn their institutional culture.
(1) People learn the institutional culture dyadically, from those individuals
with whom they interact more frequently. (2) Individuals who occupy more
central positions in the organization's social network learn the institutional
culture better. (3) Different status groups within the university (admissions
office/deans/faculty) develop sub-cultural understandings based on their
roles vis-a-vis students. (4) Learning the institutional culture is a matter
of multi-source, diffuse saturation (measured by variables such as time
spent at the university and the number of other people known). And, (5)
knowledge of students arises by "independent invention" based on how one
interacts with (similar) students. The basic approach could be used to
study the organization of knowledge in any bounded social group.
This paper illustrates how social network theory and cultural consensus theory can be conjoined to study the social organization of knowledge within an institution. The institution we chose to study was our own university, but the general approach could easily be modified for any formal organization or bounded social group.
We are not the first to conjoin these two theoretical/methodological
perspectives, but our study differs from others' work in two interesting
respects. First, whereas previous researchers have focused on the relation
between position in the social network and knowledge of the social network,
we are interested in how position in a social network affects knowledge
of some substantive domain. Second, our goal is to develop methods for
determining the relative effects of network, status, demographic-biographic,
and experiential measures with respect to how well each accounts for the
distribution of substantive knowledge.
B. If there is a widely shared model of the typical student, what factors predict how well individual faculty-staff learn the prevailing view?
C. Is the model learned primarily from others in the faculty-staff peer group [DIFFUSION], or is it learned primarily through direct experience with students [INDEPENDENT INVENTION]?
Final. Weeding out coaches, secretaries, and a few faculty, the final sample of 51 "admissions-involved" people was composed as follows:
"Knowledge Quiz" concerning Lehigh students ... kinds of students who apply to Lehigh, kinds of students who accept admission offers, other schools with whom Lehigh competes for students, attributes of Lehigh that influence (positively and negatively) students decisions to apply and/or accept, and so forth.
Social Network Data among the "admissions-involved" group ... who interacts with whom and how often.
Informants' Familiarity with Students ... average number of students seen one-on-one per week, number of students' hometowns known, number of students' summer plans known, and so forth.
STEP 2. IF THERE IS AN OVERALL CONSENSUS, then the hypotheses can be tested easily, and the relative strengths of the factors can be compared using a 'proportion of variance explained' logic.
For Hypothesis A. Construct an actor-by-actor similarity matrix based on matches in the "knowledge quiz," then correlate that matrix with the actor-by-actor frequency of interaction matrix. If relation is significant, calculate r2.
For Hypothesis B. For each actor, calculate his/her network centrality (degree, betweenness, etc.), then correlate those scores with actors' cultural competence scores from the consensus analysis. If relation is significant, calculate r2.
For Hypothesis C. Compare cultural competence scores for different status groups via t-tests or oneway analysis of variance. If the group-group differences are significant, calculate estimated- omega2.
For Hypothesis D. Correlate actors' "experience at Lehigh" measures (years at Lehigh, percentage of other actors known, level of involvement with admissions issues, etc.) with their cultural competence scores. If relation is significant, calculate r2.
For Hypothesis E. Correlate actors' "familiarity with students"
measures with their cultural competence scores. If relation is significant,
calculate r2.
STEP 2'. IF THERE IS NO OVERALL CONSENSUS, then much of the analytical effort shifts to identifying the different sub-cultural groups, and the relative strengths of the hypothesized factors cannot be assessed.
For Hypothesis A. Construct an actor-by-actor similarity matrix based on matches in the "knowledge quiz," then QAP-correlate that matrix with the actor-by-actor frequency of interaction matrix [same as Step 2B, above]. If relation is significant, calculate r2.
For Hypothesis B. The expected relation between network centrality and knowledge changes when there is no overall consensus. High centrality individuals will be atypical of any given sub-group, i.e., such individuals 'know too much' to be typical of any one group because of their mediating role. Under these conditions, network centrality and sub-group cultural competence scores should be inversely related; and the main analytical task is to identify sub-group boundaries: (1) For each actor, calculate measures of his/her network centrality. (2) Identify sub-groups in the sample based on clique, k-plex, or component analyses of the social network data. (3) For each sub-group identified, and including high centrality individuals who connect different groups to one another, perform a separate consensus analysis. [High betweenness centrality individuals are likely to be included in more than one such analysis.] (4) For each identified sub-group, correlate actors' overall network centrality scores with their sub-group's "knowledge quiz" consensus scores. If relations are significant, calculate r2 (but conclusions will be for each sub-group separately).
For Hypothesis C. Dis-aggregate the sample into homogeneous status-role groups (e.g., admissions staff vs. faculty vs. administrators), and perform separate consensus analyses (one for each status group) of their "knowledge quiz" data. If status-role is a relevant factor, then each group should show a consensus of its own. If status groups do not show consensus among themselves, then status would be rejected as a relevant factor.
For Hypothesis D. For each sub-group, correlate actors' "experience at Lehigh" measures (years at Lehigh, percentage of other actors known, level of involvement with admissions issues, etc.) with their cultural competence score. If relations are significant, calculate r2 (but conclusions will be for each sub-group separately).
For Hypothesis E. For each sub-group, correlate actors' "familiarity
with students" measures with their cultural competence scores. If relations
are significant, calculate r2 (but conclusions will be for each
sub-group separately).
Is there a single cultural model of the typical Lehigh student? Is there a consensus among the sample of 51 admissions-involved faculty and staff?
Test: Consensus analysis of the 30-item, multiple choice "knowledge quiz" data.
Findings:
Eigenvalues: | ||||
Factor | Value | Percent | Cum % | Ratio |
1: | 19.144 | 76.2 | 76.2 | 4.992 |
2: | 3.835 | 15.3 | 91.5 | 1.798 |
3: | 2.133 | 8.5 | 100.0 | |
25.111 | 100.0 |
Average Competence Score = 0.601
Std Dev of Scores = 0.121
Conclusion: YES... The patterning of agreement among the 51 admissions-involved
informants indicates that they deviate randomly around a single model of
culturally "correct" answers concerning the typical Lehigh student.
HYPOTHESIS A
DYADIC INTERACTIONS WITHIN THE ADMISSIONS NETWORK: faculty-staff's beliefs resemble those in their peer group with whom they interact more often.
Test: QAP-correlation between the actor-by-actor similarity matrix based on matches in the "knowledge quiz" and the frequency of interaction matrix.
Findings:
(Significance) | QAP-r = .137 | p = .028 |
(Strength) | QAP-r2 = .019 |
Conclusion: TRUE... Dyadic interactions within the admissions
network have a significant but very weak effect in explaining shared understandings
of the typical Lehigh student.
HYPOTHESIS B
POSITION IN THE ADMISSIONS NETWORK: Faculty-staff in the organization through whom more information passes tend to have more "accurate" (more representative of their group) beliefs than people who are peripheral in the group.
Test: Correlation between measures of network centrality and cultural competence scores.
Findings:
(Significance) | Consensus Factor 1 | ||
Information centrality | .284 | p < .05 | |
Degree centrality | .171 | n.s. | |
Flow-Betweenness centrality | .140 | n.s. | |
Betweenness centrality | .090 | n.s. | |
(Strength) | Information centrality: r2 = .081 |
Conclusion: TRUE... Position in the admissions network has a
significant effect on one's grasp of the 'typical Lehigh student' model,
at least when the measure is "information centrality" (Stephenson &
Zelen, 1989). This measure of one kind of Diffusion accounts for 8% of
the variance in cultural competence scores.
HYPOTHESIS C
STATUS AND ROLE IN THE ORGANIZATION: Faculty-staff occupying similar structural roles in the organization develop similar understandings (and these contrast from the understandings of other such groups).
Test: Compare mean cultural competence scores of status-groups using oneway analysis of variance.
Findings:
(Significance) | |||
ANOVA with Four Groups: F = .061, df = 3 / 47, p = .980 | |||
10 Admissions Staff | .6120 | ||
7 Other Administrators | .6114 | ||
6 College Deans | .5900 | ||
28 Faculty | .5982 | ||
ANOVA with Two Groups: F = .051, df = 1 / 49, p = .822 | |||
23 Administrators & Deans | .6061 | ||
28 Faculty | .5982 | ||
(Strength) | Irrelevant, since not significant. |
Conclusion: FALSE... Status-role within the organization has
no effect with respect to one's grasp of the 'typical Lehigh student' model.
HYPOTHESIS D
SATURATION IN THE ORGANIZATION'S MILIEU: Faculty-staff learn the organizational culture through diffuse, multi-source saturation based on their total experiences in the organization.
Test: Correlations between measures of "experience with Lehigh" and cultural competence scores.
Findings:
(Significance) | Consensus Factor 1 | ||
Gender | -.130 | n.s. | |
Admissions activity level | .126 | n.s. | |
Age | -.083 | n.s. | |
Child(ren) attended L.U. | .082 | n.s. | |
Years in current position | -.012 | n.s. | |
Years at L.U. | .006 | n.s. | |
Attended L.U. | -.003 | n.s. | |
(Strength) | Irrelevant, since not significant. |
Conclusion: FALSE... Saturation in the organization's milieu
has no discernible effects on one's grasp of the 'typical Lehigh student'
model. Varying degrees of "exposure" to Lehigh do not account for degrees
of cultural competence.
HYPOTHESIS E
FAMILIARITY WITH (SIMILAR) STUDENTS: Faculty-staff's models of students resemble one another because the students they deal with are similar.
Test: Correlations between measures of "familiarity with students" and cultural competence scores.
Findings:
(Significance) | Consensus Factor 1 | ||
Knowing students' hometowns | .387 | p < .05 | |
Knowing students' summer plans | .184 | n.s. | |
Average hours per week with students | .094 | n.s. | |
Maximum hours per week with students | .093 | n.s. | |
Students known: faces & names | .083 | n.s. | |
Maximum number of students seen per week | .031 | n.s. | |
Average number of students seen per week | .021 | n.s. | |
(Strength) | |||
Knowing students' hometowns: r2 = .150 |
Conclusion: TRUE... Familiarity with (similar) students has a
significant effect on one's grasp of the 'typical Lehigh student' model.
In particular, the more students' hometowns one knows, the more likely
he/she is to share the consensus model of Lehigh students. This Independent
Invention measure accounts for 15% of the variance in cultural competence
scores.
Because the sample of 51 admissions-involved faculty and staff did show consensus around a single cultural model, testing the five specific hypotheses was greatly simplified. All things considered, it would appear that the way in which faculty-staff interact one-on-one with students is the single biggest factor affecting how well they "learn" the cultural model concerning the typical Lehigh student. Faculty-staff who get to know students' personal histories (know many students' hometowns) tend to better exemplify the consensus model of students. For this reason, we suggest that INDEPENDENT INVENTION is more responsible for the distribution of the cultural model than is diffusion, i.e., firsthand experience with students themselves is more important than hearsay from one's peers. On the other hand, sharing of information within the social network of admissions-involved people also has significant effects. In particular, the higher an individual's "information centrality," the better he or she exemplifies the cultural model concerning students. And, people in the network do tend to resemble those others with whom they interact more frequently. Still, INDEPENDENT INVENTION accounts for about 15% of the variance in cultural competence, whereas DIFFUSION factors account for only about 10% (network centrality's 8%, plus dyadic resemblance's 2%).
It is interesting to contemplate whether a similar study of a larger and more diverse university would turn out differently. Lehigh's students, or so faculty often say, are remarkably similar to one another. Thus, as individual faculty and staff deal with similar students, they come to similar conclusions. But at a large school with a much more diverse undergraduate population, faculty-student interactions could very well lead faculty to dissimilar conclusions regarding the 'typical student.' In such settings, perhaps the DIFFUSION factors (social learning from one's peers) might better explain faculty-staff views of students.
Overall, the case study illustrates how to research the 'organization of diversity' in systematic fashion. By conjoining the tools of social network analysis and consensus analysis, it is possible to determine the degrees to which various factors explain the distribution of knowledge in a variety of social contexts. In so doing, one hopes to advance the theoretical insights of Wallace and Roberts through fine-grained empirical research.
Roberts, J. M. 1964. The Self-Management of Cultures. In W. Goodenough, (Ed.), Explorations in Cultural Anthropology: Essays in Honor of George Peter Murdock. Pp. 433-454. New York: McGraw-Hill.
Stephenson, K. & Zelen, M. 1989. Rethinking centrality: Methods and examples. Social Networks, 11, 1-37.
Wallace, A. F. C. 1961. Introduction. In Culture and Personality. Pp. 1-44. New York: Random House.
Implicit References
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Acknowledgment
The authors are especially grateful to Jeffrey C. Johnson and Stephen P. Borgatti for their patient counseling concerning the nuts-and-bolts of social network analysis.
Part I. Demographic-Biographic Questions
PROSPECTIVE STUDENTS: Questions pertaining to students interested in applying to Lehigh University.
FOLLOW-UP QUESTIONNAIRE
(data collected during the summer)
1. During the past academic year, how much one-on-one
interacting with undergraduate students did you do?
a. Hours per week: _____ average / _____ maximum
b. Number of students per week: _____ average / _____ maximum
2. Before classes ended this spring, approximately how many undergraduates
were you able to both recognize when you saw them and remember
their names (i.e., match faces with names, and vice versa)?
__ 0 to 9
__ 10 to 19
__ 20 to 29
__ 30 to 39
__ 40 to 49
__ 50 or more
3. Do you know where any of our current undergraduates (including graduating
seniors) are from, e.g., their hometowns?
___ No ___ Yes
If yes, for approximately how many individual students do you know this?
__ none
__ 1 or 2
__ 3 to 5
__ 6 to 10
__ 11 to 20
__ more than 20
4. Do you know what any of our current undergraduates (including graduating
seniors) plan to do this summer?
___ No ___ Yes
If yes, for approximately how many individual students do you know this?
_____ [estimate]
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