
Richard Williams
Department of Sociology
University of Notre Dame
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| Biography Educational Background, Teaching and Research Interests |
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| The Mannix/Williams Family | |||
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30902
Undergraduate Research Methods |
Soc
73994 Categorical Data Analysis |
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Soc 43402
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Soc 63992
(formerly Soc 592) Graduate Statistics I |
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Soc 63993
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Soc 530 Intermediate Social Psychology |
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Soc 513 |
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Graduate Statistics I, Graduate Statistics II, and Stata Highlights. These are actually alternate versions of my Graduate Statistics I & II pages. Unlike the regular course pages, the URLs for these pages are fairly stable for anyone who wants to link to them. The highlights page singles out those notes that are of special interest to those who want to learn about Stata. |
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Residential Segregation and the Transformation of Home Mortgage Lending, by Carolyn Bond & Richard Williams. (December 2007 Social Forces.) After decades of inequality, the 1990s saw sudden and dramatic increases in lending to low income and minority groups. This paper examines the impact this lending had on residential segregation. It contends that the nature of lending was even more important than the amount: some lenders and types of lending had much more impact on residential segregation than did others. The Washington Post discusses highlights from this research in Subprime Mortgages and Race: A Bit of Good News May Be Illusory. |
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Ordinal Generalized Linear Models.
oglm
is a Stata 9 program written by
Richard Williams.
oglm estimates Ordinal
Generalized Linear Models. When these models include equations for
heteroskedasticity they are also known as heterogeneous choice/
location-scale / heteroskedastic ordinal regression models.
oglm supports multiple link functions,
including logit, probit, complementary log-log, log-log and
cauchit.
When an ordinal regression model incorrectly assumes that error variances
are the same for all cases, the standard errors are wrong and (unlike OLS
regression) the parameter estimates are biased. Heterogeneous choice/
location-scale models explicitly specify the determinants of
heteroskedasticity in an attempt to correct for it. Further, these models
can be used when the variance/variability of underlying attitudes is itself
of substantive interest.
This working paper (revised June 2008), "Using
Heterogeneous Choice Models To Compare Logit and Probit Coefficients Across
Groups," shows an application of the oglm
program, while "Estimating Heterogeneous
Choice Models with Stata"
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Generalized logistic regression/ partial proportional odds models for ordinal dependent variables. These papers and handouts illustrate the theory and use of generalized logistic regression models for ordinal dependent variables. Such models can be tested with gologit2, a Stata 8 program written by Richard Williams. A major strength of gologit2 is that it can estimate models that are less restrictive than the proportional odds /parallel lines models estimated by ologit (whose assumptions are often violated) but more parsimonious and interpretable than those estimated by a non-ordinal method, such as multinomial logistic regression (i.e. mlogit). gologit2 actually supports multiple link functions, including logit, probit, complementary log-log, log-log and cauchit. If you are already familiar with gologit2 but are having trouble getting it to work right, you may want to check out the troubleshooting page. | ||
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Alternative Assessments of GSE Performance, Influence and Impact. The May 2006 final report for this HUD funded study is now available. This report examines the impact that the Government Sponsored Enterprises (Fannie Mae and Freddie Mac) had on nationwide home mortgage lending to underserved markets during the years 1993-2003. Previous studies have concluded that the GSEs were not leading the market. The ultimate conclusion of this study is the same. But, by virtually every criterion examined, it is also clear that in recent years the GSEs have made noteworthy progress. | ||
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The Changing Face of Inequality in Home Mortgage Lending (Revised January 2005; final version published in Social Problems, May 2005.) This paper discusses the growth of subprime and manufactured housing lending during the 1990s and the impact this has had on inequality in the United States, both in home mortgage lending and in other areas. The online bibliography includes links to many of the sources used in the paper. |
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Are the GSEs Leading, and If So Do They Have Any
Followers? An Analysis of the GSEs’ Impact on Home Purchase Lending to
Underserved Markets During the 1990s. The November 2002 final report for this HUD funded study is now available. This report examines the impact that the Government Sponsored Enterprises (Fannie Mae and Freddie Mac) had on nationwide home mortgage lending to underserved markets during the years 1993-2000. |
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The Effect of GSEs, CRA, and Institutional Characteristics on Home Mortgage Lending to Underserved Markets. The final report for this 1999 HUD funded study is now available. Also available is an updated analysis that extends the work through 1999. |
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Journal of Urban Affairs, 1997. Racial, Economic and Institutional Differences in Home Mortgage Loans: St. Joseph County, Indiana |
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Social
Psychology |
Methods & Stats Sample Methods and Statistics Area Exams |
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You can send email to Richard Williams at Richard.A.Williams.5@ND.Edu