A solution to the ecological inference problem: Reconstructing individual behavior from aggregate data

A Solution to the Ecological Inference Problem: Reconstructing Individual Behavior from Aggregate Data

Volumn , Issue , 2013, Pages 1-342

  King, Gary ^a  

^a HARVARD UNIVERSITY   (United States)

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EID: 84924433738     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Book

References (382)

1. Achen, Christopher H. 1986. "Necessary and Sufficient Conditions for Unbiased Aggregation of Cross-Sectional Regressions." Paper presented at the annual meetings of the American Political Science Association, Washington D.C., 28-31 August.
2. Achen, Christopher H. 1993. "MLE, Aggregate Data, and the Montana Test." Paper prepared for delivery at the annual meetings of the American Political Science Association, Washington, D.C., 1-5 September.
3. Achen, Christopher H., and W. Phillips Shively. 1995. Cross-Level Inference. Chicago: University of Chicago Press.
4. Agnew, John. 1996. "Mapping Politics: How Context Counts in Electoral Geography." Political Geography 15: 129-146.
5. Aigner, Dennis J., and Stephen M. Goldfeld. 1974. "Estimation and Prediction from Aggregate Data when Aggregates are Measured More Accurately Than Their Components." Econometrica 42: 113-134.
6. Akdeniz, Fikri, and George A. Milliken. 1975. "The Relationship between Macro and Micro Parameters." International Economic Review 16: 511-515.
7. Alba, Richard D., and John R. Logan. 1992. "Analyzing Locational Attainments: Constructing Individual-Level Regression Models Using Aggregate Data." Sociological Methods and Research 20: 367-397.
8. Alker, Hayward R., Jr. 1969. "A Typology of Ecological Fallacies," pp. 69-86 in Dogan and Rokkan (1969).
9. Allardt, Erik. 1969. "Aggregate Analysis: The Problem of Its Informative Value," pp. 41-52 in Dogan and Rokkan (1969).
10. Allenby, Greg M., and Peter E. Rossi. 1991. "There Is No Aggregation Bias: Why Macro Logit Models Work." Journal of Business and Economic Statistics 9: 1-14.
11. Allport, Floyd H. 1924. "The Group Fallacy in Relation to Social Science." American Journal of Sociology 29: 688-703.
12. Alt, James E. 1993. "Persistence and Change in Southern Voter Registration Patterns, 1972-1990." Paper prepared for the workshop on Race, Ethnicity, Representation, and Governance, Harvard University, 21-22 January.
13. Alt, James E., Gary King, and Curtis Signorino. 1996. "Estimating the Same Quantities from Different Levels of Data: Time Dependence and Aggregation in Event Process Models." Paper presented at the annual meeting of the Midwest Political Science Association, Chicago, Illinois.
14. Amemiya, Takeshi. 1973. "Regression Analysis When Variance of Dependent Variable is Proportional to the Square of its Expectation," Journal of the American Statistical Association 68: 928-934.
15. Anselin, Luc. 1988. Spatial Econometrics: Methods and Models. Boston: Kluwer Academic Publishers.
16. Ansolabehere, Stephen, and Douglas Rivers. 1992. "Using Aggregate Data to Correct for Nonresponse and Misreporting in Surveys." Paper presented to the annual meeting of the Political Methodology Group, Harvard University.
17. Ansolabehere, Stephen, and Douglas Rivers. 1994. "Bias in Ecological Regression Estimates." Unpublished paper, Stanford University.
18. Attanasio, Orazio P., and Guglielmo Weber. 1993. "Consumption Growth, the Interest Rate and Aggregation." Review of Economic Studies 60: 631-649.
19. Bacharach, Michael. 1971. Biproportional Matrices and Input-Output Change. Cambridge, Cambridge University Press.
20. Barker, Terry S., and M. Hashem Pesaran, eds. 1990. Disaggregation in Econometric Modeling. London: Routledge.
21. Beck, Nathaniel. 1983. "Time Varying Parameter Regression Models." American Journal of Political Science 27: 557-600.
22. Ben-Akiva, Moshe, and Steven R. Lerman. 1989. Discrete Choice Analysis: Theory and Application to Travel Demand. Cambridge: MIT Press.
23. Beran, Rudolf, Andrey Feuerverger, and Peter Hall. 1996. "On Nonparametric Estimation of Intercept and Slope Distributions in Random Coefficient Regression." Unpublished paper, Department of Statistics, University of California, Berkeley.
24. Berelson, Bernard R., Paul F. Lazarsfeld, and William N. McPhee. 1954. Voting. Chicago: University of Chicago Press.
25. Berg, S. 1988. "Spatial Influence on Voter Transitions in Swedish Elections: An Application of Johnston's Maximum Entropy Method." Electoral Studies 7: 233-250.
26. Berglund, Sten, and Soren Risbjerg Thomsen. 1990. Modern Political Ecological Analysis. Abo: Abo Akademis Forlang.
27. Bergstrom, R., and P-A. Edin. 1992. "Time Aggregation and the Distributional Shape of Unemployment Duration." Journal of Applied Econometrics 7: 5-30.
28. Bernstein, F. 1932. "Uber eine Methode, die Soziologische und Bevolkerungsstatistische Gliederung von Abstimmungen bei Geheimem Wahlverfahren Statistisch zu Ermitteln." Allgemeines Statistisches Archiv 22: 253-56. ["A Method to Determine Statistically the Sociological and Demographic Structure of Voting in Secret Elections," translated by W. Phillips Shively and reprinted in pp. 25-28 of Achen and Shively (1995).]
29. Bidwell, Charles E., and John D. Karsarda. 1975. "Specification of Models for Organizational Effectiveness." American Sociological Review 40: 55-70.
30. Birdsall, Nancy, and Jere R. Behrman. 1984. "Does Geographical Aggregation Cause Overestimates of the Returns to Schooling?" Oxford Bulletin of Economics and Statistics 46: 55-72.
31. Bishop, Y. M. M., S. E. Fienberg, and P. W. Holland. 1975. Discrete Multivariate Analysis. Cambridge: MIT Press.
32. Blalock, Hubert M., 1964. Causal Inferences in Nonexperimental Research. Chapel Hill: University of North Carolina Press.
33. Blau, Judith, and Peter Blau. 1982. "The Cost of Inequality: Metropolitan Structure and Violent Crime." American Sociological Review 47: 114-29.
34. Blau, Peter M., 1960. "Structural Effects." American Sociological Review 25:178-193
35. Blundell, Richard, Panos Pashardes, and Guglielmo Weber. 1993. "What Do We Learn about Consumer Demand Patterns from Micro Data?" American Economic Review 83: 570-597.
36. Bogue, Donald J., and Elizabeth J. Bogue. 1982. "Ecological Correlation Reexamined: A Refutation of the Ecological Fallacy," pp. 88-103 in George A. Theodorson ed., Urban Patterns: Studies in Human Ecology. University Park: Pennsylvania State University Press.
37. Booth, David E., and Stephane E. Booth. 1988. "An Introduction to the Use of Ecological and Robust Regression in Historical Research." Historical Methods 21: 35-44.
38. Borgatta, Edgar R, and David J. Jackson, eds. 1980. Aggregate Data: Analysis and Interpretation. Beverly Hills: Sage Publications.
39. Boudman, A. R. 1983. "The Neighbourhood Effect: A Test of the Butler-Stokes Model." British Journal of Political Science 13: 243-249.
40. Boudon, Raymond. 1963. "Propriéts individuelles et Propriéts collectives: Un probleme d'analyse écologique." Revue Frangaise de Sociologie 4: 275-299.
41. Boyd, Lawrence H., and Gudmund R. Iversen. 1979. Contextual Analysis: Concepts and Statistical Techniques. Belmont, CaL: Wadsworth.
42. Brady, Henry E. 1985. "Statistical Consistency and Hypothesis Testing for Nonmetric Multidimensional Scaling," PsychometriL• 50: 509-537.
43. Brenner, H., D. A. Savitz, K. H. Jockel, S. Greenland. 1992. "Effects of Nondifferential Exposure Misclassification in Ecologic Studies." American Journal of Epidemiology 135: 85-95.
44. Breslaw, Jon A. 1994. "Evaluation of Multivariate Normal Probability Integrals Using a Low Variance Simulator." Review of Economics and Statistics 76: 673-682.
45. Breslow, Norman. 1990. "Biostatistics and Bayes" (with discussion). Statistical Science 5: 269-298.
46. Brown, Philip J., and Clive D. Payne. 1986. "Aggregate Data, Ecological Regression, and Voting Transitions." Journal of the American Statistical Association 81: 452-460.
47. Bruner, Jere. 1976. "What's the Question to that Answer? Measures and Marginals in Crosstabulation." American Journal of Political Science 20: 781-804.
48. Brunner, Ronald D., and Klaus Liepelt. 1972. "Data Analysis, Process Analysis, and System Change." Midwest Journal of Political Science 16: 538-569.
49. Bryk, Anthony S., and Stephen W. Raudenbush. 1992. Hierarchical Linear Models: Data Analysis Methods. Newbury Park, CaI: Sage Publications.
50. Bullock, Charles S., III. 1991. "Misinformation and Misperceptions: A Little Knowledge Can Be Dangerous." Social Science Quarterly 72: 834-839.
51. Bulmer, Martin. 1984. The Chicago School of Sociology: Institutionalization, Diversity, and the Rise of Sociological Research. Chicago: University of Chicago Press.
52. Buse, Adolph. 1992. "Aggregation, Distribution and Dynamics in the Linear and Quadratic Expenditure Systems." Review of Economic Statistics 74:45-53
53. Butler, David, and Donald Stokes. 1969. Political Change in Britain: Forces Shaping Electoral Choice. New York: St. Martin's Press.
54. Byrne, James, and Robert J. Sampson, eds. 1986. The Social Ecology of Crime. New York: Springer-Verlag.
55. Carlin, Bradley. 1989. "Counteracting the Ecological Fallacy: Improved Estimation of Individual Correlation from Aggregate Data." American Statistical Association, Proceedings of the Social Statistics Section, pp. 234-239.
56. Cartright, Phillip A., and Cheng F. Lee. 1987. "Time Aggregation and the Estimation of the Market Model: Empirical Evidence." Journal of Business and Economic Statistics 5: 131-143.
57. Chambers, Robert G., and Rulon D. Pope. 1991. "Testing for Consistent Aggregation." American Journal of Agricultural Economics 73: 808-818.
58. Childers, Thomas. 1983. The Nazi Voter: The Social Foundations of Fascism in Germany, 1919-1933. Chapel Hill: University of North Carolina Press.
59. Choi, In. 1992. "Effects of Data Aggregation on the Power of Tests for a Unit Root." Economics Letters 40: 397-401.
60. Claggett, William, and John Van Wingen. 1993. "An Application of Linear Programming to Ecological Inference: An Extension of an Old Procedure." American Journal of Political Science 37: 633-661.
61. Clark, William A. V., and K. L. Avery. 1976. "The Effects of Data Aggregation in Statistical Analysis." Geographic Analysis 8: 428-433.
62. Clark, William A. V., and Peter A. Morrison. "Demographic Paradoxes in the Los Angeles Voting Rights Case." Evaluation Review 15: 712-726.
63. Cleave, Nancy. 1992. Ecological Inference. Ph.d. dissertation, University of Liverpool.
64. Cleave, Nancy, P. J. Brown, and C. D. Payne. 1995. "Evaluation of Methods for Ecological Inference. Unpublished paper, University of Liverpool.
65. Cohen, Bernard L. 1990. "Ecological versus Case-Control Studies for Testing a Linear-No Threshold Dose Response Relationship." International Journal of Epidemiology 19: 680-684.
66. Cohen, Bernard L. 1994. "Invited Commentary: In Defense of Ecologic Studies for Testing a Linear-No Threshold Theory." American Journal of Epidemiology 139: 765-768.
67. Connor, Michael J., Dennis B. Gillings, Sandra B. Greene. 1981. "The Ecological Fallacy: Assessing the Effects of Changing Units of Analysis." Proceedings of the American Statistical Association, Social Statistics Section, pp. 183-188.
68. Converse, Philip E. 1969. "Survey Research and the Decoding of Patterns in Ecological Data," pp. 459-486 in Dogan and Rokkan (1969).
69. Cox, David R. 1957. "Note on Grouping." Journal of the American Statistical Association 52: 543-547.
70. Cox, Lawrence H. 1995. "Network Models for Complementary Cell Suppression." Journal of the American Statistical Association 90: 1,453-1,462.
71. Cramer, J. S. 1964. "Efficient Grouping, Regression, and Correlation in the Engle Curve Analysis." Journal of the American Statistical Association 59: 233-250.
72. Cramer, J. S. 1986. Economic Applications of Maximum Likelihood Methods. New York: Cambridge University Press.
73. Cressie, Noel A. C. 1993. Statistics for Spatial Data. Revised ed. New York: Wiley.
74. Crewe, Ivor, and Clive Payne. 1976. "Another Game with Nature: An Ecological Regression Model of the British Two-Party Vote Ratio in 1970." British Journal of Political Science 6: 43-81.
75. Daley, D. J. 1974. "Computation of Bi-and Tri-variate Normal Integrals." Applied Statistics 23: 435-438.
76. Davis, James A., Joe L. Spaeth, and Carolyn Huson. 1961. "A Technique for Analyzing the Effects of Group Composition." American Sociological Review 26: 215-225.
77. Debreu, Gerard. 1974. "Excess Demand Functions." Journal of Mathematical Economics 1: 15-23.
78. Deming, W. E., and R R Stephan. 1940. "On a Least Squares Adjustment of a Sampled Frequency Table when Expected Marginal Totals are Known." Annals of Mathemtical Statistics 11: 427-444.
79. Deutsch, Karl W., 1969. "On Methodological Problems of Quantitative Research," pp. 19-40 in Dogan and Rokkan (1969).
80. De Wolff, Pieter. 1941. "Income Elasticity of Demand, a Micro-Economic and a Macro-Economic Interpretation." Economics Journal 51: 140-145.
81. DeGroot, Morris. 1986. Probability and Statistics. Second ed. Reading, MA: Addison-Wesley.
82. Divgi, D. R. 1979. "Calculation of the Univariate and Bivariate Normal Integral." Annals of Statistics 7: 903-910.
83. Dogan, Mattei, and Stein Rokkan. 1969. Quantitative Ecological Analysis in the Social Sciences. Cambridge: MIT Press.
84. Drost, Feike C, and Theo E. Nijman. 1993. "Temporal Aggregation of Garch Processes." Econometrica 61: 909-927.
85. Duncan, Otis Dudley, and Beverly Davis. 1953. "An Alternative to Ecological Correlation." American Sociological Review 18: 665-666.
86. Duncan, Otis Dudley, Ray P. Cuzzort, and Beverly Duncan. 1961. Statistical Geography: Problems in Analyzing Areal Data. Westport, Conn.: Greenwood Press.
87. Dunn, D. M., W. H. Williams, and T. L. DeChaine. 1976. "Aggregate versus Subaggregate Models in Local Area Forecasting." Journal of the American Statistical Association 71: 68-71.
88. Dykstra, Robert R. 1986. "Ecological Regression Estimates: Alchemist's Gold?" Social Science History 10: 85-90.
89. Efron, Bradley, and Carl Morris. 1973. "Combining Possibly Related Estimation Problems" (with discussion). Journal of the Royal Statistical Society, Series B, 35: 379-421.
90. Elklit, Jorgen. 1985. "Nominal Record Linkage and the Study of Non-Secret Voting: A Danish Case." Journal of Interdisciplinary History 15: 419-443.
91. Engstrom, Richard L. 1990. "Getting the Numbers Right: A Response to Wildgen." The Urban Lawyer 22: 495-502.
92. Epstein, Seymour. 1986. "Does Aggregation Produce Spuriously High Estimates of Behavior Stability?" Journal of Personality and Social Psychology 50: 1,199-1,210.
93. Erbring, Lutz. 1989. "Individuals Writ Large: An Epilogue on the 'Ecological Fallacy'." Political Analysis 1: 235-269.
94. Ersson, Svante, and Ingemar Worlund. 1990. "Level of Aggregation and Ecological Inference: A Study of the Swedish Elections in 1944 and 1979," pp. 131-147 in Berglund and Thomsen (1990).
95. Escobar, Michael D., and Mike West. 1995. "Bayesian Density Estimation and Inference Using Mixtures." Journal of the American Statistical Association 90: 577-588.
96. Ezzati, A. 1974. "Forecasting Market Shares of Alternative Home-Heating Units by Markov Process Using Transition Probabilities Estimated from Aggregate Time Series Data." Management Science 21: 462-473.
97. Fairfield Smith, H. 1938. [untitled article]. Journal of Agricultural Science 28: 1-23.
98. Falter, Jürgen W 1991. Hitlers Wäihler. Munich: Beck.
99. Farebrother, R. W. 1979. "Estimation with Aggregated Data." Journal of Econometrics 10: 43-55.
100. Farkas, George. 1974. "Specification, Residuals and Contextual Effects." Sociological Methods and Research 2: 333-363.
101. Feige, Edgar L., and Harold W Watts. 1972. "An Investigation of the Consequences of Partial Aggregation of Micro-Economic Data." Econometrica 40: 343-360.
102. Firebaugh, Glenn. 1978. "A Rule for Inferring Individual-Level Relationships from Aggregate Data." American Sociological Review 43: 557-572.
103. Firebaugh, Glenn. 1993. "Are Bad Estimates Good Enough for the Courts?" Social Science Quarterly 74: 488-496.
104. Fisher, Ronald A. 1915. "Frequency Distribution of the Values of the Correlation Coefficient in Samples from an Indefinitely Large Population." BiometriL• 10: 507-521.
105. Fisher, Walter D. 1969. Clustering and Aggregation in Economics. Baltimore: Johns Hopkins University Press.
106. Fisher, Walter D. 1979. "A Note on Aggregation and Disaggregation." Econometrica 47: 739-746.
107. Flanigan, William H., and Nancy Zingale. 1985. "Alchemist's Gold: Inferring Individual Relationships from Aggregate Data." Social Science History 9: 71-92.
108. Forcina, A., and G. M. Marchetti. 1989. "Modelling Transition Probabilities in the Analysis of Aggregated Data," pp. 157-164 in A. Decarli, B. J. Francis, R. Gilchrist, and G. U. H. Seber, eds., Statistical Modeling (Proceedings, Trento 1989). Berlin: Springer-Verlag.
109. Forcina, A., and G. M. Marchetti. 1991. "Effects of Misspecification in the Brown and Payne Model." Paper presented at the European Consortium for Political Research Workshop, Essex, England, 22-26 March.
110. Fotheringham, A. S., and D. W S. Wong. 1991. "The Modifiable Areal Unit Problem in Multivariate Statistical Analysis." Environment and Planning, A, 23: 1,025-1,045.
111. Freedman, David A., Stephen P. Klein, Jerome Sacks, Charles A. Smyth, and Charles G. Everett. 1991. "Ecological Regression and Voting Rights." Evaluation Review 15: 673-711, with introduction by David L. Rubinfeld, comments by William V. Clark, Peter A. Morrison, William O'Hare, Bernard Grofman, and Allan J. Lichtman, and rejoinder.
112. Fromm, Gary, and George R. Schink. 1973. "Aggregation and Econometric Models." International Economic Review 14: 1-32.
113. Gardner, R. J. 1995a. Geometric Tomography. New York: Cambridge University Press.
114. Gardner, R. J. 1995b. "Geometric Tomography." Notices of the American Mathematical Society, 42: 422-429.
115. Gehlke, C. E., and KCatherine Biehl. 1934. "Certain Effects of Grouping upon Size of the Correlation Coefficient in Census Tract Material." Journal of the American Statistical Association Supplement 29: 663-664.
116. Gelman, Andrew, John B. Carlin, Hal S. Stern, and Donald B. Rubin. 1995. Bayesian Data Analysis. London: Chapman and Hall.
117. Gelman, Andrew, and Gary King. 1990. "Estimating the Electoral Consequences of Legislative Redistricting." Journal of the American Statistical Association 85: 274-282.
118. Gelman, Andrew, and Gary King. 1994a. "Enhancing Democracy through Legislative Redistricting." American Political Science Review 88: 541-559.
119. Gelman, Andrew, and Gary King. 1994b. "A Unified Method of Evaluating Electoral Systems and Redistricting Plans." American Journal of Political Science 38: 514-554.
120. Geweke, John. 1978. "Temporal Aggregation in the Multiple Regression Model" (with comments). Econometrica, 46: 643-661.
121. Geweke, John. 1985. "Macroeconomic Modeling and the Theory of the Representative Agent." American Economic Review (papers and proceedings) 75: 206-210.
122. Geweke, John, Michael Keane, and David Runkle. 1994. "Alternative Computational Approaches to Inference in the Multinomial Probit Model." Review of Economics and Statistics 76: 609-631.
123. Giles, Michael W, and Kaenan Hertz. 1994. "Racial Threat and Partisan Identification." American Political Science Review 88: 317-326.
124. Goldberger, Arthur. 1991. A Course in Econometrics. Cambridge: Harvard University Press.
125. Good, I. J. 1963. "Maximum Entropy for Hypothesis Formulation, Especially for Multidimensional Contingency Tables." Annals of Mathematical Statistics 64: 911-934.
126. Goodfriend, Marvin. 1992. "Information-Aggregation Bias." American Economic Review 82: 508-519.
127. Goodman, Leo. 1953a. "Ecological Regressions and the Behavior of Individuals." American Sociological Review 18: 663-666.
128. Goodman, Leo. 1953b. "A Further Note on Miller's 'Finite Markov Processes in Psychology'." PsychometriL• 18: 245-248.
129. Goodman, Leo. 1959. "Some Alternatives to Ecological Correlation." American Journal of Sociology 64: 610-624.
130. Gordon, Stephen. 1992. "Costs of Adjustment, the Aggregation Problem and Investment." Review of Economics and Statistics 74: 422-429
131. Gorman, William M. 1953. "Community Preference Fields." Econometrica 21: 63-80.
132. Gow, David John. 1985. "Quantification and Statistics in the Early Years of American Political Science, 1880-1922." Political Methodology 11: 1-18.
133. Granger, Clive W. J. 1980. "Long Memory Relationships and the Aggregation of Dynamic Models." Journal of Econometrics 14: 227-238.
134. Granger, Clive W. J. 1987. "Implications of Aggregation with Common Factors." Econometric Theory 3: 208-222.
135. Graunt, John. 1662. Natural and Political Observations Mentioned in a Following Index, and Made upon the Bills of Mortality. London: John Martyn and James Allestry.
136. Green, H. A. John. 1964. Aggregation in Economic Analysis. Princeton: Princeton University Press.
137. Greenland, Sander. 1992. "Divergent Biases in Ecologic and Individual-level Studies." Statistics in Medicine 11: 1,209-1,223.
138. Greenland, Sander, and H. Brenner. 1993. "Correcting for Nondifferential Misclassification in Ecologic Analyses." Applied Statistics 42: 117-126.
139. Greenland, Sander, and H. Morgenstern. 1989. "Ecological Bias, Confounding, and Effect Modification." International Journal of Epidemiology 18: 269-274.
140. Greenland, Sander, and James Robins. 1994a. "Invited Commentary: Ecologic Studies-Biases, Misconceptions, and Counterexamples." American Journal of Epidemiology 139: 747-760.
141. Greenland, Sander, and James Robins. 1994b. "Accepting the Limits of Ecologic Studies: Drs. Greenland and Robins Reply to Drs. Piantadosi and Cohen." American Journal of Epidemiology 8: 769-771.
142. Griffiths, William E., Ross G. Drynan, and Surekha Prakash. 1979. "Bayesian Estimation of a Random Coefficient Model." Journal of Econometrics 10: 201-220.
143. Grofman, Bernard. 1991a. "Straw Men and Stray Bullets: A Reply to Bullock." Social Science Quarterly 72: 840-843.
144. Grofman, Bernard. 1991b. "Statistics without Substance: A Critique of Freedman et al. and Clark and Morrison." Evaluation Review 15: 746-769.
145. Grofman, Bernard, Lisa Handley, and Richard G. Niemi. 1992. Minority Representation and the Quest for Voting Equality. New York: Cambridge University Press.
146. Grofman, Bernard, Michael Migalski, and Nicholas Noviello. 1985. "The 'Totality of Circumstances' Test in Section 2 of the 1982 Extension of the Voting Rights Act: A Social Science Perspective." Law and Policy 7: 209-223.
147. Grunfeld, Yehuda, and Zvi Griliches. 1960. "Is Aggregation Necessarily Bad?" Review of Econometrics and Statistics, 42: 1-13.
148. Gupta, Kanhya L., 1969. Aggregation in Economics. Rotterdam: Rotterdam University Press.
149. Gupta, Kanhya L. 1971. "Aggregation Bias in Linear Economic Models." International Economic Review 12: 293-305.
150. Haitovsky, Yoel. 1966. "Unbiased Multiple Regression Coefficients Estimated from One-Way Classification Tables When the Cross-classifications are Unknown." Journal of the American Statistical Association 61: 720-728.
151. Hamilton, Richard F. 1982. Who Voted for Hitler? Princeton: Princeton University Press.
152. Hammond, John L. 1973. "Two Sources of Error in Ecological Correlations." American Sociological Review 38: 764-777.
153. Hand, Carol A., and James E. Prather. 1986. "The Impact of Aggregation Bias upon the Interpretation of Test Scores across Schools." American Statistical Association, Proceedings of the Social Statistics Section, pp. 80-82.
154. Hannan, Michael T. 1971. "Problems of Aggregation," pp. 403-40 in H. M. Blalock, ed., Causal Models in the Social Sciences, Chicago: Aldine-Atherton.
155. Hannan, Michael T. 1974. "Estimation from Grouped Observations." American Sociological Review 39: 374-392.
156. Hannan, Michael T. 1991. Aggregation and Disaggregation in the Social Sciences. Revised ed., Lexington, Mass. Lexington Books.
157. Hannan, Michael T., and Leigh Burstein. 1974. "Estimation from Grouped Observations." American Sociological Review 39: 374-392.
158. Hanushek, Erik A., John E. Jackson, and John R Kain. 1974. "Model Specification, Use of Aggregate Data, and the Ecological Correlation Fallacy." Political Methodology 1: 89-107.
159. Hanushek, Eric A., Steven G. Rivkin, and Lori L. Taylor. 1995. "Aggregation and the Estimated Effects of School Resources." Rochester Center for Economic Research, Working Paper no. 397. Rochester, N.Y.
160. Hatt, P. K. 1946. "The Concept of Natural Area." American Sociological Review 11: 423-428.
161. Hauser, Robert M. 1974. "Contextual Analysis Revisited." Sociological Methods and Research 2: 365-375.
162. Hawkes, A. G. 1969. "An Approach to the Analysis of Electoral Swing." Journal of the Royal Statistical Society 31: 68-79.
163. Heckman, James J., and Guilherme Sedlacek. 1985. "Heterogeneity, Aggregation and Market Wage Functions: An Empirical Model of Self-Selection in the Labor Market." Journal of Political Economy 93: 1,077-1,125.
164. Heineke, John M., and Herschel M. Shefrin. 1990. "Aggregation and Identification in Consumer Demand Systems." Journal of Econometrics 44: 377-390.
165. Heitjan, Daniel F. 1989. "Inference from Grouped Continuous Data: A Review." Statistical Science 4: 164-183.
166. Heitjan, Daniel R, and Donald B. Rubin. 1990. "Inference from Coarse Data via Multiple Imputation with Application to Age Heaping." Journal of the American Statistical Association 85: 304-314.
167. Hildreth, C, and J. P. Houck. 1968. "Some Estimates for a Linear Model with Random Coefficients." Journal of the American Statistical Association 63: 584-595.
168. Hsiao, Cheng. 1975. "Some Estimation Methods for a Random Coefficient Model." Econometrica 43: 305-325.
169. Huckfeldt, Robert, and John Sprague. 1987. "Networks in Context: The Social Flow of Political Information." American Political Science Review 81: 1,197-1,116.
170. Huston, James L. 1991. "Weighting, Confidence Intervals, and Ecological Inference." Journal of Interdisciplinary History 21: 631-654.
171. Ijiri, Yuji. 1965. "The Linear Aggregation Coefficient as the Dual of the Linear Correlation Coefficient." Econometrica 36: 252-259.
172. Ijiri, Yuji. 1971. "Fundamental Queries in Aggregation Theory." Journal of the American Statistical Association 66: 766-782.
173. Irwin, Galen A. 1967. "Two Methods for Estimating Voter Transition Probabilities." Ph.D. dissertation, Florida State University.
174. Irwin, Galen A., and Duane A. Meeter. 1969. "Building Voter Transition Models from Aggregate Data." Midwest Journal of Political Science 13: 545-566.
175. Irwin, Laura, and Allan J. Lichtman. 1976. "Across the Great Divide: Inferring Individual Level Behavior from Aggregate Data." Political Methodology 2: 411-439.
176. Isard, Walter. 1956. "Regional Science, the Concept of Region, and Regional Structure." Papers and Proceedings of the Regional Science Association 2: 13-26.
177. Ivansson, S. 1987. "Crosshole Transmission Tomography," chapter 7 in Guust Nolet, ed., Seismic Tomography. Boston: D. Reidel.
178. Iversen, Gudmund R. 1969. "Estimation of Cell Entries in Contingency Tables when Only Margins Are Observed." Ph.D. dissertation, Harvard University.
179. Iversen, Gudmund R. 1973. "Recovering Individual Data in the Presence of Group and Individual Effects." American Journal of Sociology 79: 420-434.
180. Jackman, Simon. 1996. "Bayesian Tools for Social Scientists." Paper presented at the Annual Meetings of the American Political Science Association, San Francisco.
181. Jackson, John E. 1991. "Estimation of Models with Variable Coefficients." Political Analysis 3: 27-49.
182. Janson, Carl-Gunnar. 1969. "Some Problems of Ecological Factor Analysis," pp. 301-342 in Dogan and Rokkan (1969).
183. Johnston, R. J., and A. M. Hay. 1982. "On the Parameters of the Uniform Swing in Single-Member Constituency Electoral Systems." Environment and Planning, A 14: 61-74.
184. Johnston, R. J., A. M. Hay, and P. J. Taylor. 1982. "Estimating the Sources of Spatial Change in Election Results: A Multiproportional Matrix Approach." Environment and Planning, A 14: 951-961.
185. Johnston, R. J., and C. J. Pattie. 1990. "Estimating and Analyzing the Unknown: Entropy-Maximising Procedures, Flow-of-the-Vote Matrices, and Tactile Voting in Great Britain." Unpublished paper, Department of Geography, University of Sheffield.
186. Johnstone, Iain M., and Bernard W. Silverman. 1990. "Speed of Estimation in Positron Emission Tomography and Related Inverse Problems." Annals of Statistics 18: 251-280.
187. Jorgenson, Dale W., Lawrence J. Lau, and Thomas M. Stoker. 1980. "Welfare Comparisons under Exact Aggregation." American Economic Review 70: 268-272.
188. Jorgenson, Dale W, Lawrence J. Lau, and Thomas M. Stoker. 1982. "The Transcendental Logarithmic Model of Aggregate Consumer Behavior," pp. 97-238 in Robert L. Basemann and Georges Rhodes, eds., Advances in Econometrics, vol. 1. Greenwich, Conn.: JAI Press.
189. Kalbfleisch, J. D., and J. F. Lawless. 1984. "Least-Squares Estimation of Transition Probabilities from Aggregate Data." Canadian Journal of Statistics 12: 169-182.
190. Kalbfleisch, J. D., J. F. Lawless, and V. M. Vollmer. 1983. "Estimation in Markov Models from Aggregate Data." Biometrics 39: 907-919.
191. Kanoh, Satoru, and Takamitsu Sawa. 1976. "What Can We Infer from a Single Aggregated Proportion?" International Economic Review 17: 763-768.
192. Kao, Richard C. W. 1953. "Note on Miller's 'Finite Markov Processes in Psychology'. " Psychometrica 18: 241-243.
193. Keane, Michael P. 1994. "A Computationally Practical Simulation Estimator for Panel Data." Econometrica 62: 95-116.
194. Key, V. O. 1949. Southern Politics in State and Nation. New York: Alfred A. Knopf.
195. King, Gary. 1989a. Unifying Political Methodology: The Likelihood Theory of Statistical Inference. New York: Cambridge University Press.
196. King, Gary. 1989b. "Representation through Legislative Redistricting: A Stochastic Model." American journal of Political Science 33: 787-824.
197. King, Gary. 1990. "Electoral Responsiveness and Partisan Bias in Multiparty Democracies." Legislative Studies Quarterly 15: 159-181.
198. King, Gary. 1991. "On Political Methodology." Political Analysis 2: 1-30.
199. King, Gary. 1995. "Replication, Replication," PS: Political Science and Politics, with comments and a response, 27: 443-499.
200. King, Gary. 1996. "Why Context Should Not Count." Political Geography, forthcoming.
201. King, Gary, James Alt, Nancy Burns, and Michael Laver. 1990. "A Unified Model of Cabinet Dissolution in Parliamentary Democracies." American journal of Political Science 34: 846-871.
202. King, Gary, and Robert X Browning. 1987. "Democratic Representation and Partisan Bias in Congressional Elections." American Political Science Review 81: 1,251-1,273.
203. King, Gary, John Bruce, and Andrew Gelman. 1995. "Standards of Racial Fairness in Legislative Redistricting," pp. 85-110 in Paul E. Peterson, ed., Classifying by Race. Princeton: Princeton University Press.
204. King, Gary, Robert O. Keohane, and Sidney Verba. 1994. Designing Social Inquiry: Scientific Inference in Qualitative Research. Princeton: Princeton University Press.
205. Kirman, Alan P 1992. "Whom or What Does the Representative Individual Represent?" Journal of Economic Perspectives 6: 117-136.
206. Klein, Lawrence R. 1946. "Remarks on the Theory of Aggregation." Econometrica 14: 303-312.
207. Klein, S. P., J. Sacks, and David A. Freedman. 1991. "Ecological Regressions versus the Secret Ballot." Jurimetrics Journal 31: 393-413.
208. Kleppner, Paul. 1985. Chicago Divided: The Making of a Black Mayor. De KaIb: Northern Illinois University Press.
209. Kodell, R. L., and J. H. Matis. 1976. "Estimating the Rate Constants in a Two-Compartment Stochastic Model." Biometrics 32: 377-400
210. Koopman, James S., and Ira M. Longini, Jr. 1994. "The Ecological Effects of Individual Exposures and Nonlinear Disease Dynamics in Populations." American Journal of Public Health 84: 836-842.
211. Kousser, J. Morgan. 1973. "Ecological Regression and Analysis of Past Politics." Journal of Interdisciplinary History 4: 237-262.
212. Kousser, J. Morgan. 1974. The Shaping of Southern Politics: Suffrage Restriction and the Establishment of the One-Party South, 1880-1910. New Haven: Yale University Press.
213. Kousser, J. Morgan. 1986a. "Must Historians Regress? An Answer to Lee Benson." Historical Methods 19.2: 62-81.
214. Kousser, J. Morgan. 1986b. "Speculation or Specification? A Note on Flanigan and Zingale." Social Science History 10: 71-84.
215. Kousser, J. Morgan. 1993. "A Generation of Ecological Regression: A Survey and Synthesis." Unpublished paper, California Institute of Technology.
216. Kousser, J. Morgan. 1995. "Shaw v. Reno and the Real World of Redistricting and Representation." Unpublished paper, California Institute of Technology.
217. Kousser, J. Morgan, and Allan J. Lichtman. 1983. "'New Political History' Some Statistical Questions Answered." Social Science History 7: 321-344.
218. Kraemer, Helena Chmura. 1978. "Individual and Ecological Correlation in a General Context." Behavioral Science 23: 67-72.
219. Kramer, Gerald H. 1983. "The Ecological Fallacy Revisited: Aggregate-versus Individual-Level Findings on Economics and Elections and Sociotropic Voting." American Political Science Review 77: 92-111.
220. Kritzer, Herbert M. 1978a. "An Introduction to Multivariate Contingency Table Analysis." American Journal of Political Science 21: 187-226.
221. Kritzer, Herbert M. 1978b. "Analyzing Contingency Tables by Weighted Least Squares: An Alternative to the Goodman Approach." Political Methodology 5: 277-326.
222. Krivo, Lauren J., and Robert L. Kaufman. 1990. "Estimating Macro-Relationships Using Micro-Data." Sociological Methods and Research 19: 196-202.
223. Lau, Lawrence J. 1982. "A Note on the Fundamental Theorem of Exact Aggregation." Economic Letters 9: 119-126.
224. Learner, Edward E. 1990. "Optional Aggregation of Linear Net Export Systems," pp. 150-170 in Barker and Pesaran (1990).
225. Lee, T. C, G. G. Judge, and T. Takayama. 1965. "On Estimating the Transition Probabilities of a Markov Process." Journal of Farm Economics 47: 742-762.
226. Lee, T. C, G. G. Judge, and A. Zellner. 1968. "Maximum Likelihood and Bayesian Estimation of Transition Probabilities." Journal of the American Statistical Association 63: 1,162-1,179.
227. Lee, T. C, G. G. Judge, and A. Zellner. 1970. Estimating the Parameters of the Markov Probability Model from Aggregate Time Series Data. Amsterdam: North-Holland.
228. Lewbel, Arthur. 1994. "Aggregation and Simple Dynamics." American Economic Review 84: 905-918.
229. Lewbel, Arthur. 1992. "Aggregation with Log-Linear Models." Review of Economic Studies 59: 635-642
230. Lewbel, Arthur. 1989. "Exact Aggregation and a Representative Consumer." Quarterly Journal of Economics 104: 622-633.
231. Lichtman, Allan J. 1974. "Correlation, Regression, and the Ecological Fallacy: A Critique." Journal of Interdisciplinary History 4: 417-433.
232. Lichtman, Allan J. 1991. "Passing the Test: Ecological Regression Analysis in the Los Angeles County Case and Beyond." Evaluation Review 15: 770-799.
233. Linz, Juan J. 1969. "Ecological Analysis and Survey Research," pp. 91-132 in Dogan and Rokkan (1969).
234. Little, Roderick J. A., and Mei-Miau Wu. 1991. "Models for Contingency Tables with Known Margins When Target and Sampled Populations Differ." Journal of the American Statistical Association 86: 87-95.
235. Loewen, James. 1982. Social Science in the Courtroom: Statistical Techniques and Research Methods for Winning Class-Action Suits. Lexington, Mass.: Lexington Books.
236. Loewen, James W. and Bernard Grofrnan. 1989. "Recent Developments in Methods Used in Vote Dilution Litigation." The Urban Lawyer 21: 589-604.
237. Lubin, Jay H. 1994. "Invited Commentary: Lung Cancer and Exposure to Residential Radon." American Journal of Epidemiology 140: 323-332.
238. Lucas, Robert E. 1976. "Econometric Policy Evaluation: A Critique," pp. 19-46 in K. Brunner and A. H. Meltzer, eds. The Phillips Curve and Labor Markets, Carnegie-Rochester Conferences on Public Policy, Vol. 1 of Journal of Monetary Economics.
239. Lupia, Arthur, and Kenneth McCue. 1990. "Why the 1980s Measures of Racially Polarized Voting are Inadequate for the 1990s." Law and Policy 12: 353-387.
240. MacRae, Duncan, Jr., and James A. Meldrum. 1969. "Factor Analysis of Aggregate Voting Statistics," pp. 487-506 in Dogan and Rokkan (1969).
241. MacRae, Elizabeth Chase. 1977. "Estimation of Time-Varying Markov Processes with Aggregate Data." Econometrica 45: 183-198.
242. Malinvaud, Edmond. 1955. "Aggregation Problems in Input-Output Models," pp. 187-202 in Tibor Barna, ed., Structrual Interdependence of the Economy. New York: John Wiley and Sons.
243. Manski, Charles F. 1995. Identification Problems in the Social Sciences. Cambridge: Harvard University Press.
244. Manski, Charles F., and Daniel McFadden. 1981. Structural Analysis of Discrete Data with Econometric Applications. Cambridge: MIT Press.
245. Marksjo, Bertil. 1984. "Simple Aggregation and Disaggregation Subject to Minimal Information Loss and Other Criteria." Regional Science and Urban Economics 14: 465-478.
246. Marshak, Jacob. 1939. "Personal and Collective Budget Functions." Review of Economics and Statistics 21: 161-170.
247. Mason, William M., George Y. Wong, and Barbara Entwisle. 1983. "Contextual Analysis through the Multilevel Linear Model." pp. 72-103 in Samuel Leinhardt, eds., Sociological Methodology, 1983-84. Washington, D.C.: Jossey-Bass.
248. Matis, J. H., and H. O. Hartley. 1971. "Stochastic Comparrmental Analysis: Model and Least Squares Estimation from Time Series Data." Biometrics, 27: 71-102.
249. Matsusaka, John G., and Filip Palda. 1993. "The Downsian Voter Meets the Ecological Fallacy." Public Choice 77: 855-878.
250. Matthews, Donald R., and James W. Prothro. 1966. Negroes and Southern Politics. New York: Harcourt, Brace & World.
251. May, Kenneth. 1946. "The Aggregation Problem for a One-Industry Model." Econometrica 14: 285-312.
252. McCarthy, CoIm, and Terence M. Ryan. 1977. "Estimates of Voter Transition Probabilities from the British General Elections of 1974." Journal of the Royal Statistical Society, A 140: 78-85.
253. McCarthy, John L., and John W. Tukey. 1978. "Exploratory Analysis of Aggregate Voting Behavior: Presidential Elections in New Hampshire, 1896-1972." Social Science History 2: 292-331.
254. McCue, Kenneth F. 1995. "The Ecological Fallacy Redux." Unpublished paper, California Institute of Technology.
255. Meckstroth, Theodore W. 1974. "Some Problems in Cross-Level Inference." American Journal of Political Science 28: 45-66.
256. Meckstroth, Theodore W. 1975. "'Ecological Inference' and the Disaggregation of Individual Decisions." Political Science Annual 6: 113-174.
257. Menzel, Herbert. 1960. "A Comment on Robinson's 'Ecological Correlations,' " American Sociological Review 18: 674.
258. Messner, Steven. 1982. "Inequality and the Urban Homicide Rate." Criminology 20: 103-114.
259. Miller, George A. 1952. "Finite Markov Processes in Psychology." Psychometrica 17: 149-167.
260. Miller, W. L. 1972. "Measures of Electoral Change Using Aggregate Data." Journal of the Royal Statistical Society, A 135: 122-142.
261. Miller, W. L., Gillian Raab, and K. Britto. 1974. "Voting Research and the Population Census 1918-71: Surrogate Data for Constituency Analyses." Journal of the Royal Statistical Society, A 137: 384-427.
262. Morgenstern, H. 1982. "Uses of Ecologic Analysis in Epidemiologic Research." American Journal of Public Health 72: 1,336-1,344.
263. Muller, Hans-Georg. 1991. "Smooth Optimum Kernel Estimators Near Endpoints." Biometrika 78: 521-530.
264. Natterer, Frank. 1986. The Mathematics of Computerized Tomography. New York: Wiley.
265. Norberg, Ragnar. 1977. "Inference in Random Coefficient Regression Models with One-Way and Nested Classifications." Scandinavian Journal of Statistics 4: 71-80.
266. Norstrom, Thor. 1988a. "Deriving Relative Risks from Aggregate Data. I. Theory." Journal of Epidemiology and Community Health 42: 333-335.
267. Norstrom, Thor. 1988b. "Deriving Relative Risks from Aggregate Data. II. An Application to the Relationship between Unemployment and Suicide." Journal of Epidemiology and Community Health 42: 336-340.
268. O'Hare, William. 1991. "The Use of Demographic Data in Voting Rights Litigation." Evaluation Review 15: 729-745.
269. Ogburn, William R, and Inez Goltra. 1919. "How Women Vote: A Study of an Election in Portland, Oregon." Political Science Quarterly 34: 413-433
270. Openshaw, Stan. 1979. "A Million or So Correlation Coefficients: Three Experiments on the Modifiable Areal Unit Problem," pp. 127-144 in N. Wrigley, ed., in Statistical Methods in the Spatial Sciences. London: Pion.
271. Openshaw, Stan. 1984. "The Modifiable Areal Unit Problem." Concepts and Techniques in Modern Geography, No. 38. Norwich, England: Geo Books.
272. Orcutt, Guy H., Harold W. Watts, and John B. Edwards. 1968. "Data Aggregation and Information Loss." American Economic Review 58: 773-787.
273. Owen, Guillermo, and Bernard Grofman. 1994. "Estimating the Likelihood of Fallacious Ecological Inference: Linear Ecological Regression in the Presence of Context Effects." Unpublished paper, University of California, Irvine.
274. Pagan, Adrian. 1980. "Some Identification and Estimation Results for Regression Models with Stochastically Varying Coefficients." Journal of Econometrics 13: 341-363.
275. Palmquist, Bradley Lowell. 1993. "Ecological Inference, Aggregate Data Analysis of U.S. Elections, and the Socialist Party of America." Ph.D. dissertation, University of California, Berkeley.
276. Palmquist, Bradley Lowell. 1994. "Respecification Approaches to Ecological Inference: A Comparison of Control Variables and the Quadratic Model." Paper prepared for delivery at the annual meetings of the American Political Science Association, New York, 1-4 September.
277. Park, Wayne I., and Philip Garcia. 1994. "Aggregate versus Disaggregate Analysis: Corn and Soybean Acreage Response in Illinois." Review of Agricultural Economics 16: 17-26.
278. Parsons, George R., and Michael S. Needleman. 1992. "Site Aggregation in a Random Utility Model of Recreation." Land Economics 68: 418-433.
279. Pesaran, M. H., R. G. Pierse, and M. S. Kumar. 1989. "Econometric Analysis of Aggregation in the Context of Linear Prediction Models." Econometrica 57: 861-888.
280. Pesaran, M. H., R. G. Pierse and K. C. Lee. 1993. "Persistence, Cointegrarion, and Aggregation." Journal of Econometrics 56: 57-88.
281. Pesaran, M. H., R. G. Pierse and K. C. Lee. 1994. "Choice between Disaggregate and Aggregate Specifications Estimated by Instrumental Variables Methods." Journal of Business and Economic Statistics 12: 11-21.
282. Peston, M. H. 1959/1960. "A View of the Aggregation Problem." Review of Economic Studies 27: 58-64.
283. Petty, Sir William. 1690. Political Arithmetick. London: Robert Clavel and Hen. Mortlock.
284. Petty, Sir William. 1691. The Political Anatomy of Ireland. London: D. Brown and W Rogers.
285. Piantadosi, Steven. 1994. "Invited Commentary: Ecologic Biases." American Journal of Epidemiology 139: 761-764.
286. Piantadosi, S., D. P. Byar, and S. B. Green. 1988. "The Ecological Fallacy." American Journal of Epidemiology 127: 893-904.
287. Powell, James L., and Thomas M. Stoker. 1985. "The Estimation of Complete Aggregation Structures." Journal of Econometrics 30: 317-344.
288. Prais, S. J. and J. Aitchison. 1954. "The Grouping of Observations in Regression Analysis." Review of the International Institute of Statistics 22: 1-22.
289. Press, William H., et al. 1987. Numerical Recipes. Cambridge: Cambridge University Press.
290. Price, Hugh D. 1968. "Micro-and Macro-Politics: Notes on a Research Strategy," pp. 102-140 in Oliver Garceau, ed., Political Research and Political Theory. Cambridge: Cambridge University Press.
291. Prsby, Charles L. 1976. "Community Partisanship and Individual Voting Behavior: Methodological Problems of Contextual Analysis." Political Methodology 3: 183-198.
292. Przeworski, Adam. 1974. "Contextual Models of Political Behavior." Political Methodology 1: 27-60.
293. Pu, Shou Shan. 1946. "A Note on Macroeconomics." Econometrica 14: 299-302.
294. Putnam, Robert D. 1966. "Political Attitudes and the Local Community." American Political Science Review 60: 640-654.
295. Raj, Baldev. 1975. "Linear Regression With Random Coefficients: The Finite Sample and Convergence Properties," Journal of the American Statistical Association 70: 127-137.
296. Raj, Baldev, Virender Kumar Srivastava, and Sushama Upadhyaya. 1980. "The Efficiency of Estimating a Random Coefficient Model." Journal of Econometrics 12: 285-299.
297. Ranney, Austin. 1962. "The Utility and Limitations of Aggregate Data in the Study of Electoral Behavior," pp. 91-102 in Ranney, ed., Essays on the Behavioral Study of Politics. Urbana: University of Illinois Press.
298. Rao, J. N. K. 1989. "Ratio Estimators," in Samuel Kotz, Normal L. Johnson, and Campbell B. Read, eds., Encyclopedia of Statistical Sciences, vol. 7. New York: Wiley.
299. Richardson, S., I. Stiicker, and D. Hemon. 1987. "Comparison of Relative Risks Obtained in Ecological and Individual Studies: Some Methodological Considerations." International Journal of Epidemiology 16: 111-120.
300. Richmond, J. 1976. "Aggregation and Identification." International Economic Review 17: 47-56.
301. Ripley, B. D. 1987. Stochastic Simulation. New York: Wiley.
302. Rivers, Douglas, and Wendy Tarn. 1996. "Estimation of Random Coefficient Models," Unpublished paper, Stanford University.
303. Robinson, William S. 1950. "Ecological Correlation and the Behavior of Individuals." American Sociological Review 15: 351-357.
304. Rosenbaum, Paul R., and Donald B. Rubin. 1984. "Difficulties with Regression Analyses of Age-Adjusted Rates." Biometrics 40: 437-143.
305. Rosenthal, Howard. 1973. "Aggregate Data," pp. 915-927 in Ithiel de Sola Pool et al., eds., Handbook of Communications. Chicago: Rand McNaIIy.
306. Roth, Randolph A. 1986. "Ecological Regression and the Analysis of Voter Behavior." Historical Methods 19: 103-117.
307. Rubin, Donald B. 1980. "Using Empirical Bayes Techniques in the Law School Validity Studies" (with discussion). Journal of the American Statistical Association 75: 801-827.
308. Rubin, Donald B. 1987. Multiple Imputation for Nonresponse in Surveys. New York: Wiley.
309. Rubinfeld, Daniel L. 1991. "Statistical and Demographic Issues Underlying Voting Rights Cases." Evaluation Review 15: 659-672.
310. Sampson, Robert J. 1987. "Urban Black Violence: The Effect of Male Joblessness and Family Disruption." American Journal of Sociology 93: 348-382.
311. Scarbrough, Elinor. 1991. "Micro and Macro Analysis of Elections' European Journal of Political Research 19: 361-374.
312. Schlicht, Ekkehart. 1985. Isolation and Aggregation in Economics. New York: Springer-Verlag.
313. Schuman, Howard, and Stanley Presser. 1981. Questions and Answers in Attitude Surveys: Experiments on Question Form, Wording, and Context. New York: Academic Press.
314. Schwallie, Daniel P. 1982. "Unconstrained Maximum Likelihood Estimation of Contemporaneous Covariances." Economics Letters 9: 359-364.
315. Schwartz, Sharon. 1994. "The Fallacy of the Ecological Fallacy: The Potential Misuse of a Concept and the Consequences." American Journal of Public Health 84: 819-824.
316. Selvin, Hanan C. 1965. "Durkheim's Suicide: Further Thoughts on a Methodological Classic," pp. 113-136 in Robert A. Nisbet, ed., Emile Durkheim, Englewood Cliffs, N.J.: Prentice-Hall.
317. Shin, Jeong-Shik. 1987. "Aggregation and the Endogeneity Problem." International Economic Journal 1: 57-65.
318. Shively, W. Phillips. 1974. "Utilizing External Evidence in Cross-Level Inference." Political Methodology 1: 61-73.
319. Shively, W. Phillips. 1977. " 'Ecological' Inference: The Use of Aggregate Data to Study Individuals." American Political Science Review 63: 1,183-1,196.
320. Shively, W. Phillips. 1985. "A Strategy for Cross-Level Inference under an Assumption of Breakage Effects." Political Methodology 11: 167-179.
321. Shively, W. Phillips. 1991. "A General Extension of the Method of Bounds, with Special Application to Studies of Electoral Transition." Historical Methods 24: 81-94.
322. Shively, W. Phillips. 1992. "From Differential Absention to Conversion: A Change in Electoral Change, 1864-1988." American Journal of Political Science, 36: 309-330.
323. Sigelman, Lee. 1991. "Turning Cross Sections into a Panel: A Simple Procedure for Ecological Inference." Social Science Research 20: 150-170.
324. Silverman, B. W. 1986. Density Estimation for Statistics and Data Analysis. London: Chapman and Hall.
325. Singer, J. David. 1961. "The Level-of-Analysis Problem in International Relations," pp. 77-92 in Klaus Knorr and Sidney Verba, eds., The International System. Princeton: Princton University Press.
326. Singh, Balvir, A. L. Nagar, N. K. Choudhry, and Baldev Raj. 1976. "On the Estimation of Structural Change: A Generalization of the Random Coefficients Regression Model." International Economic Review 17: 340-361.
327. Smith, Kent W. 1977. "Another Look at the Clustering Perspective on Aggregation Problems." Sociological Methods and Research 5: 289-315.
328. Sonnenschein, Hugo. 1972. "Market Excess Demand Functions." Econometrica 40: 549-563.
329. Sprague, John. 1976. "Estimating a Boudon Type Contextual Model: Some Practical and Theoretical Problems of Measurement." Political Methodology 3: 333-353.
330. Sprague, John. 1982. "Is there a Micro Theory Consistent with Contextual Analysis?" pp. 99-121 in Elinor Ostrom, ed., Strategies of Political Inquiry. Beverly Hills: Sage Publications.
331. Spurrier, John D., and Sandra J. Kohta. 1993. "Estimation of Proportions of White and Non-White Voters Voting for a Candidate with Applications to Possible Violations of Section 2 of the Voting Rights Act." Communications in Statistics-Simulation 22: 845-862.
332. Srivastava, V. K., G. D. Mishra, and A. Chaturveda. 1981. "Estimation of Linear Regression Model with Random Coefficients Ensuring Almost Non-Negativity of Variance Estimators." Biometrical Journal 23: 3-8.
333. Steel, D. G., and D. Holt. 1996. "Analyzing and Adjusting Aggregation Effects: The Ecological Fallacy Revisited." International Statistical Review 64: 39-60.
334. Steinnes, Donald N. 1980. "Aggregation, Gerrymandering, and Spatial Econometrics." Regional Science and Urban Economics 10: 561-569.
335. Stidley, C. A. and J. M. Samet. 1993. "A Review of Ecologic Studies of Lung Cancer and Indoor Radon." Health Physiology 65: 234-251.
336. Stoker, Thomas. 1984. "Completeness, Distribution Restrictions, and the Form of Aggregate Functions." Econometrica 52: 887-907.
337. Stoker, Thomas M. 1985. "Aggregation, Structural Change, and Cross-section Estimation." Journal of the American Statistical Association 80: 720-729.
338. Stoker, Thomas M. 1986. "Aggregation, Efficiency and Cross-Section Regression." Econometrica 54: 171-188.
339. Stoker, Thomas M. 1993. "Empirical Approaches to the Problem of Aggregation over Individuals." Journal of Economic Literature 33: 1,827-1,874.
340. Stokes, Donald E. 1969. "Cross-Level Inference as a Game against Nature," in James L. Bernd, ed., Mathematical Applications in Politcial Science, 4: 62-83. Charlottesville: University Press of Virginia.
341. Susser, Mervyn. 1994a. "The Logic in Ecological: I. The Logic of Analysis." American Journal of Public Health 84: 825-829.
342. Susser, Mervyn. 1994b. "The Logic in Ecological: II. The Logic of Design." American Journal of Public Health 84: 830-835.
343. Swamy, P. A. V. B. 1971. Statistical Inference in Random Coefficient Regression Models. Berlin: Springer-Verlag.
344. Swamy, P. A. V. B., and J. S. Mehta. 1975. "Bayesian and Non-Bayesian Analysis of Switching Regressions and of Random Coefficient Regression Models." Journal of the American Statistical Association 70: 593-602.
345. Swamy, P. A. V. B., and J. N. K. Rao. 1972. "Maximum Likelihood Estimation of Distributed Lag Model with Autocorrelated Errors." Journal of the Indian Statistical Association 10, 87-99.
346. Tannenbaum, Arnold S., and Jerald G. Bachman. 1964. "Structural versus Individual Effects." American Journal of Sociology 69: 85-95.
347. Tanner, Martin A. 1996. Tools for Statistical Inference: Methods for the Exploration of Posterior Distributions and Likelihood Functions. Third ed., New York: Springer-Verlag.
348. Telser, Lester G. 1963. "Least-Squares Estimates of Transition Probabilities," pp. 270-293 in Charl F. Christ et al., eds., Measurement in Economics. Stanford: Stanford University Press.
349. Theil, Henri. 1954. Linear Aggregation of Economic Relations. Amsterdam: North-Holland.
350. Theil, Henri. 1957. "Linear Aggregation in Input-Output Analysis." Econometrica 25: 111-122.
351. Thompson, Gary D. 1991. "A Test for Spatial and Temporal Aggregation." Economics Letters 36: 391-396.
352. Thompson, Gary D., and Charles C. Lyon. 1992. "A Generalized Test for Perfect Aggregation." Economics Letters 40: 389-396.
353. Thomsen, Soren Risbjerg. 1987. Danish Elections, 1920-79: A Logit Approach to Ecological Analysis and Inference. Arhus: Politica.
354. Thomsen, Søren Risbjerg, and Hyun-woo Kim. 1993. "Electoral Dynamics in South Korea since 1981." Korean Studies 17: 39-66.
355. Thomsen, Soren Risbjerg, Sten Berglund, and Ingemar Worlund. 1991. "Assessing the Validity of the Logit Method for Ecological Inference." European Journal of Political Science 19: 441-477.
356. Thornburg v. Gingles, 478 U.S. 30 (1986).
357. Thorndike, E. L. 1939. "On the Fallacy of Imputing the Correlations Found for Groups to the Individuals or Smaller Groups Composing Them." American Journal of Psychology 52: 122-124.
358. Tiao, George, C, and W. Y Tan. 1965. "Bayesian Analysis of Random-Effect Models in the Analysis of Variance, I." Biometrika 52: 37-53.
359. Tobler, Waldo. 1990. "Frame Independent Spatial Analysis," pp. 115-122 in M. Goodchild, ed., Accuracy of Spatial Data Bases. London: Taylor and Frances.
360. United States. Bureau of the Census. 1989. Poverty in the United States: 1988 and 1989. Current Population Reports, P-60, no. 171. Washington, D.C.: U.S. Government Printing Office.
361. United States. Department of Health, Education, and Welfare. 1976. The Measure of Poverty. Washington, D.C.: U.S. Government Printing Office.
362. Upton, Graham J. G. 1978. "A Note on the Estimation of Voter Transition Probabilities." Journal of the Royal Statistical Society, A 141: 507-512.
363. Valkonen, Tapani. 1969. "Individual and Structural Effects in Ecological Research," pp. 53-68 in Dogan and Rokkan (1969).
364. van Daal, Jan, and Arnold H. Q. M. Merkies. Aggregation in Economic Research. Dordrecht: D. Reidel.
365. Vangrevelinghe, G. 1961. "Étude composee des résultats des Referendums de 1958 et 1961." Revue de Statistique Appliqué 9: 83-100.
366. Vardi, Y, L. A. Shepp, and L. Kaufman. 1985. "A Statistical Model for Positron Emission Tomography," with discussion and rejoinder. Journal of the American Statistical Association 80: 8-37.
367. Venezia, Itzhak. 1978. "A Decision-Theoretic Approach to the Aggregation Problem at the Pre-Data-Collection Stage." Journal of the American Statistical Association 73: 552-558.
368. Von Korff, M., T. Koepsell, S. Curry, and P. Diehr. 1993. "Multi-Level Analysis in Epidemiologic Research on Health Behaviors and Outcomes." American Journal of Epidemiology 135: 1,077-1,082.
369. Wanat, John. 1979. "The Application of a Non-Analytic, Most Possible Estimation Technique: The Relative Impact of Mobilization and Conversion of Votes in the New Deal." Political Methodology 6: 357-374.
370. Wanat, John. 1982. "Most Possible Estimates and Maximum Likelihood Estimates." Sociological Methods and Research 10: 453-462.
371. Waterhouse, David. 1983. "The Estimation of Voter Behavior from Aggregated Data: A Test." Journal of Social History 16: 35-54.
372. Webb, Steve. 1990. From the Watching of Shadows: The Origins of Radiological Tomography. New York: Adam Hillger.
373. Wei, William W S. 1982. "The Effects of Systematic Sampling and Temporal Aggregation on Causality-A Cautionary Note." Journal of the American Statistical Association 77: 316-322.
374. Wellhofer, E. Spencer. 1991. "Confounding Sources of Variance in the Macro-Analysis of Electoral Data." European Journal of Political Research 19: 425-439.
375. West, Mike. 1991. "Kernel Density Estimation and Marginalization Consistency." Biometrika 78: 4210-25.
376. Whittle, P. 1956. "On the Variation of Yield Variance with Plot Size." Biometrika 43: 337-343.
377. Wildgen, John K. 1988. "Adding Thornburg to the Thicket: The Ecological Fallacy and Parameter Control in Vote Dilution Cases." The Urban Lawyer 20: 155-173.
378. Wildgen, John K. 1990. "Vote Dilution Litigation and Cold Fusion Technology." The Urban Lawyer 22: 487-493.
379. Worsley, K. J., A. C. Evans, S. C. Strother, and J. L. Tyler. 1991. "A Linear Spatial Correlation Model, with Applications to Positron Emission Tomography." Journal of the American Statistical Association 86: 55-67.
380. Yule, G. Udny. 1911. An Introduction to the Theory of Statistics. London: Griffin.
381. Yule, G. Udny, and M. G. Kendall. 1950. An Introduction to the Theory of Statistics. London: Griffin.
382. Zellner, Arnold. 1969. "On the Aggregation Problem: A New Approach to a Troublesome Problem," pp. 365-374 in K. A. Fox et al., eds., Economic Models: Estimation and Risk Programming: Essays in Honor of Gerhard Tintner. New York: Springer-Verlag.