This course is meant as an introduction to basic quantitative
methods in anthropology. In the last 30 years, quantitative
methods have taken on an increasingly important role in anthropology,
especially in evaluations of field research. This course should
enable you to employ standard quantitative methods in your
own research and understand the numerous writings in which
such methods are used.
Some of what we are going to cover is part of standard "Intro
to Statistics" courses for social sciences. However,
by taking examples from anthropology, it will become more
evident why certain techniques are useful. Only the most basic
skills of high school mathematics are required.Whenever you
feel that the course goes too fast, you should immediately
discuss this with us so that we can adjust to your needs.
For those who take the course for credit, weekly assignments
are required. For those who sit in, it is advisable to do
the assignments as well, so that you can keep up with the
material we cover: statistics are best understood through
employing what you have read and what was discussed in class.
Assignments should not just consist of a graph or a sheet
with numbers, but should always be accompanied by a text that
explains why you did what you did and how you interpret your
results.
Two books contain most of the core readings:
Madrigal, Lorena
1999 Statistics for Anthropology. Cambridge: Cambridge
University Press.
Shennan, Stephen
1997 Quantifying Archaeology. 2nd edition. University
of Iowa Press, Iowa.
In addition to these books, there are required readings from
journals or book chapters that present case studies in anthropology.
Some of these are "classic" articles from earlier
in the century which demonstrate the long involvement by anthropology
in quantitative studies. In addition, it is always good to
have a general introduction to statistics at hand. You will
also need a calculator. We will be using SPSS in the computer
lab for various assignments. We will introduce you to this
software at the appropriate point in time.
COURSE SCHEDULE
WEEK 1 September 3
Introduction; Nominal, Ordinal and Interval Scales; Stem-
and Leaf-Plots; Histograms
Required Readings:
Madrigal, Chapters 1 and 2
Shennan, Chapter 3
Thomas, David Hurst
1978 The Awful Truth About Statistics in Archaeology. American
Antiquity 43:231-244.
WEEK 2 September 10
Exploratory Data Analysis (EDA)
Qualitative Analysis; Survey Instruments
Resistant Statistics; Median, lower and upper hinges, midspread,
Tukey-line, Running Medians
Required Readings:
Drennan, Robert
1996 Statistics for Archaeologists: A Commonsense Approach.
New York, Plenum.
Chapters 3 and 4.
Hartwig, Frederick and Brian E. Dearing
1979 Exploratory Data Analysis. Beverly Hills: SAGE.
Further Readings:
Wallgren, Anders, Britt Walgren, Rolf Persson, Ulf Jorner,
and Jan-Aage Haaland
1996 Graphing Statistics & Data. Thousand Oaks:
SAGE.
WEEK 3 September 17
Measures of centrality and dispersion; standardization and
z-scores; skewed distributions and transformations.
Required Readings:
Madrigal, Chapter 3
Shennan, Chapter 8.
DeBoer, Warren R.
1993 Like a Rolling Stone: The Chunkey Game and Political
Organization in Eastern North America. Southeast Archaeology
12:83-92.
Eerkens, J.W.
2000 Practice Makes Within 5% of Perfect: Visual Perception,
Motor Skills, and Memory in Artifact Variation. Current
Anthropology 41 (4): 663-668.
Kimball Romney, A.
1999 Culture Consensus as a Statistical Model. Current
Anthropology 40, Suppl: S103-S115
Further Reading:
Rummel, R.J.
1970 Applied Factor Analysis. Evanston: Northwestern
University Press. Chapter 11 (deals with transformations).
WEEK 4 September 24
Populations and Samples
Required Readings:
Madrigal, Chapter 4
Orton, Clive
1998 Sampling in Archaeology. Cambridge: Cambridge
University Press. Read Chapter 1 (pp. 1-14) and 3 (pp. 40-66).
Thomas, David Hurst
1986 Refiguring Anthropology. Prospect Heights, Il.:
Waveland.
Chapter 15, "Sampling Problems in Anthropology"
WEEK 5 October 1
Regression and Least Squares Method; Correlation
Required Readings:
Shennan, Chapter 9
Madrigal, Chapters 9 and 10
Krogman, Wilton Marion
1976 The Human Skeleton in Forensic Medicine. Springfield,
IL: Charles C. Thomas.
Chapter 6: "The Calculation of Stature from Long Bones"
Crognier, E.
1996 Behavioral and Environmental Determinants of Reproductive
Success in Traditional Moroccan Berber Groups. American
Journal of Physical Anthropology 100:181-190.
Further Reading:
Campbell, S.K.
1974 Flaws and Fallacies in Statistical Thinking. Read
Chapter 13: Relationships: Causal and Casual, pp. 152-177.
Englewood Cliffs: Prentice Hall.
WEEK 6 October 8
Hypothesis Testing; t-Test; Chi-square and elementary categorical
data
Required Readings:
Madrigal, Chapters 5, 6, and 11
Shennan, Chapter 6
Cowgill, George L.
1982 The Trouble With Significance Tests and What We Can Do
About It. American Antiquity 42:350-368.
Further Reading:
Majone, G. and P.R. Sandy
1971 On the Numerical Classification of Nominal Data. In Paul
Kay, ed.: Explorations in Mathematical Anthropology,
pp. 226-241. Cambridge: MIT Press.
WEEK 7 October 15
Category Data and Ordinal Data
Hypothesis Testing I: Kolmogorov Smirnov
Hypothesis Testing II: Spearman's Rho
Required Readings:
Shennan, Chapter 5
Madrigal, Chapter 8
Thomas, David Hurst
1986 Refiguring Anthropology. Prospect Heights, Il.:
Waveland.
Chapters 11 and 12, nonparametric statistics for nominal and
ordinal data
Further Reading:
Kerrich, J. E. and D. L. Clarke
1968 Notes on the Possible Misuse And Errors of Cumulative
Percentage Frequency Graphs for the Comparison of Prehistoric
Artifact Assemblages. Proceedings of the Prehistoric Society
33:57-69.
WEEK 8 October 22
Residuals; Analysis of Variance
Required Readings:
Madrigal, Chapter 7
Shennan, Chapter 10
Sinopoli, Carla M.
1988 The Organization of Craft Production at Vijayanagara,
South India. American Anthropologist 90:580-597.
Hardy, Vernon C. and Dennis P. Van Gerven
1976 The Effect of Size Variation on Univariate Assessments
of Morphological Difference in Human Crania. American Journal
of Physical Anthropology 44:79-82.
WEEK 9 October 29
Seriation
Required Readings:
Shennan, pp. 191-212
Kroeber, A. L.
1919 On the Principle of Order in Civilization as Exemplified
by Changes of Fashion. American Anthropologist 21
Bentley, R. Alexander and Stephen J. Shennan
2003 Cultural Transmission and Stochastic Network Growth.
American Antiquity 68 (3): 459-486.
Further Reading:
Marquardt, William H.
1978 Advances in Archaeological Seriation. In Advances
in Archaeological Method and Theory 1, edited by Michael
B. Schiffer, pp. 266-314. Academic Press, New York.
WEEK 10 November 5
Typology
Required Readings:
Shennan, Chapter 7
Christenson, Andrew L. and Dwight W. Read
1977 Numerical taxonomy, R-mode factor analysis, and archaeological
classification. American Antiquity 42:163-179.
Spaulding, Albert C.
1982 Structure in Archaeological Data: Nominal Variables.
In Essays on Archaeological Typology, edited by Robert
Whallon and James A. Brown, pp. 1-20. Center for American
Archaeology Press, Evanston.
Whallon, Robert
1982 Variables and dimensions: the critical step in quantitative
typology. In Essays on Archaeological Typology, edited
by Robert Whallon and James A. Brown, pp. 127-161. Center
for American Archaeology Press, Evanston.
Further Reading:
Clark, G. A.
1976 More on contingency table analysis, decision making criteria,
and the use of log linear models. American Antiquity
41:259-273.
Read, Dwight W.
1974 Some comment on typologies in archaeology and an outline
of a method. American Antiquity 39:216-242.
WEEK 11 November 12
Spatial Analysis: Regional Sampling, Dimensional Analysis
of Variance; Nearest Neighbor Analysis
Required Readings:
Nance, Jack D.
1983 Regional sampling in archaeological survey: the statistical
perspective. In Advances in archaeological method and theory
6, edited by Michael B. Schiffer, pp. 289-356. Academic
Press, New York.
Orton, Clive
1998 Sampling in Archaeology. Cambridge: Cambridge
University Press. Read pp. 67-111.
Whallon, Robert Jr.
1973 Spatial analysis of occupation floors I: application
of dimensional
analysis of variance. American Antiquity 38:266-278.
Whallon, Robert Jr.
1974 Spatial analysis of occupation floors II: the application
of nearest neighbor analysis. American Antiquity 39:16-34.
Further Readings:
Plog, Stephen
1976 Relative Efficiencies of Sampling Techniques for Archaeological
Surveys. In The early Mesoamerican village, edited by Kent
V. Flannery, pp. 136-158. Academic Press, New York.
Dacey, M. F.
1973 Statistical Tests of Spatial Association in the Locations
of Tool Types. American Antiquity 38:320-328.
Stark, Barbara L. and Dennis L. Young
1981 Linear nearest neighbor analysis. American Antiquity
46:284-300.
Pinder, David, Izumi Shimada and David Gregory
1979 The nearest neighbor statistic: archaeological applications
and new developments. American Antiquity 44:430-445.
WEEK 12 November 19
Principal Components Analysis; Factor Analysis
Required Readings:
Shennan, pp. 269-305
Binford, Lewis R. and Sally R.
1966 A Preliminary Analysis of Functional Variability in the
Mousterian of Levallois Facies. American Anthropologist
68, 2 (Part 2):238-295.
MacEachern, S.
2000 Genes, Tribes, and African History. Current Anthropology
41 (3):357-384.
D'Andre, Roy and Phillip A. Morin
1996 Chimpanzee and Human Mitochondrial DNA. American Anthropologist
98:352-370.
WEEK 13 November 26
Principles of Multivariate Analysis, Cluster Analysis
Required Readings:
Shennan, Chapter 13
Baxter, M. J.
1994 Cluster Analysis - The Main Ideas. In Exploratory
Multivariate Analysis in Archaeology. Edinburgh University
Press, Edinburgh.
Read, Dwight W.
1982 Toward a Theory of Archaeological Classification. In
Essays on Archaeological Typology, edited by Robert Whallon
and James A. Brown, pp. 56-92. Evanston, Il.: Center for American
Archaeology Press.
WEEK 14 December 3
Diversity Studies
Bobrowsky, Peter T., and Bruce F. Ball
1989 The Theory and Mechanics of Ecological Diversity in Archaeology.
In Quantifying Diversity in Archaeology, edited by
R. D. Leonard and G. T. Jones, pp. 4-12. Cambridge University
Press, Cambridge.
Jones, George T., Charlotte Beck, and Donald K. Grayson
1989 Measures of Diversity and Expedient Lithic Technologies.
In Quantifying Diversity in Archaeology, edited by
R. D. Leonard and G. T. Jones, pp. 69-78. Cambridge University
Press, Cambridge.
Shott, Michael J.
1989 Diversity, Organization, and Behavior in the Material
Record: Ethnographic and Archaeological Examples. Current
Anthropology 30 (3): 283-316.
WEEK 15 December 10
Discussion/Some closing thoughts on morphometrics and other
issues of interest
Corruccini, Robert S.
1978 Morphometric Analysis: Uses and Abuses. Yearbook of
Physical Anthropology 21:134-150.
Lynch, J. Walter and Richard J. Hathaway
1994 Projectile Point Morphology: A Note on the Golden Section.
Journal of Quantitative Anthropology 4:211-220.
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