Modelling charitable donations: A latent class panel inverse hyperbolic sine heteroskedastic tobit approach

We make a methodological contribution to the latent class literature by re-examining censored variable analysis within a panel data context. Specifically, we extend the standard latent class tobit panel approach to include random effects, to allow for heteroskedasticity and to incorporate the invers...

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Main Authors: Brown, S., Greene, W., Harris, Mark, Taylor, K.
Format: Working Paper
Published: Centre for Research in Applied Economics 2012
Subjects:
Online Access:http://hdl.handle.net/20.500.11937/34723
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author Brown, S.
Greene, W.
Harris, Mark
Taylor, K.
author_facet Brown, S.
Greene, W.
Harris, Mark
Taylor, K.
author_sort Brown, S.
building Curtin Institutional Repository
collection Online Access
description We make a methodological contribution to the latent class literature by re-examining censored variable analysis within a panel data context. Specifically, we extend the standard latent class tobit panel approach to include random effects, to allow for heteroskedasticity and to incorporate the inverse hyperbolic sine (IHS) transformation of the dependent variable. The IHS transformation ensures robustness to non-normality in the original (untransformed) dependent variable. We then use this framework to model charitable donations, an interesting application given the potential for divergent groups of individuals in the population with regard to their donating behaviour, which we uncover by a latent class approach. Our findings, which are based on U.S. panel data drawn from five waves of the Panel Study of Income Dynamics, do suggest two distinct classes. There is a clear disparity between the probabilities of zero donations across these classes, with one class dominated by the observed zero givers and associated with relatively low levels of predicted giving. We find clear evidence of both heteroskedasticity and random effects. All IHS parameters were significantly different from zero and different across classes. In combination, these findings endorse the importance of our three modelling extensions.
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spelling curtin-20.500.11937-347232017-01-30T13:45:14Z Modelling charitable donations: A latent class panel inverse hyperbolic sine heteroskedastic tobit approach Brown, S. Greene, W. Harris, Mark Taylor, K. Tobit Panel Data Latent Class Donations Charity We make a methodological contribution to the latent class literature by re-examining censored variable analysis within a panel data context. Specifically, we extend the standard latent class tobit panel approach to include random effects, to allow for heteroskedasticity and to incorporate the inverse hyperbolic sine (IHS) transformation of the dependent variable. The IHS transformation ensures robustness to non-normality in the original (untransformed) dependent variable. We then use this framework to model charitable donations, an interesting application given the potential for divergent groups of individuals in the population with regard to their donating behaviour, which we uncover by a latent class approach. Our findings, which are based on U.S. panel data drawn from five waves of the Panel Study of Income Dynamics, do suggest two distinct classes. There is a clear disparity between the probabilities of zero donations across these classes, with one class dominated by the observed zero givers and associated with relatively low levels of predicted giving. We find clear evidence of both heteroskedasticity and random effects. All IHS parameters were significantly different from zero and different across classes. In combination, these findings endorse the importance of our three modelling extensions. 2012 Working Paper http://hdl.handle.net/20.500.11937/34723 Centre for Research in Applied Economics fulltext
spellingShingle Tobit
Panel Data
Latent Class
Donations
Charity
Brown, S.
Greene, W.
Harris, Mark
Taylor, K.
Modelling charitable donations: A latent class panel inverse hyperbolic sine heteroskedastic tobit approach
title Modelling charitable donations: A latent class panel inverse hyperbolic sine heteroskedastic tobit approach
title_full Modelling charitable donations: A latent class panel inverse hyperbolic sine heteroskedastic tobit approach
title_fullStr Modelling charitable donations: A latent class panel inverse hyperbolic sine heteroskedastic tobit approach
title_full_unstemmed Modelling charitable donations: A latent class panel inverse hyperbolic sine heteroskedastic tobit approach
title_short Modelling charitable donations: A latent class panel inverse hyperbolic sine heteroskedastic tobit approach
title_sort modelling charitable donations: a latent class panel inverse hyperbolic sine heteroskedastic tobit approach
topic Tobit
Panel Data
Latent Class
Donations
Charity
url http://hdl.handle.net/20.500.11937/34723