Nonparametric analysis of longitudinal binary data: An application to the intergroup prisoner's dilemma game

Ronit Nirel; Malka Gorfine

doi:10.1023/A:1026233605098

Nonparametric analysis of longitudinal binary data: An application to the intergroup prisoner's dilemma game

Ronit Nirel, Malka Gorfine

Department of Mathematics

Israel Central Bureau of Statistics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

The intergroup prisoner's dilemma game was suggested by Bornstein (1992, Journal of Personality and Social Psychology. 7, 597-606) for modelling intergroup conflicts over continuous public goods. We analyse data of an experiment in which the game was played for 150 rounds, under three matching conditions. The objective is to study differences in the investment patterns of players in the different groups. A repeated measures analysis was conducted by Goren and Bornstein (1999, Games and Human Behaviour: Essays in Honor of Amnon Rapoport, pp. 299-314), involving data aggregation and strong distributional assumptions. Here we introduce a nonparametric approach based on permutation tests. Two new measures, the cumulative investment and the normalised cumulative investment, provide additional insight into the differences between groups. The proposed tests are based on the area under the investment curves. They identify an overall difference between the groups as well as pairwise differences. A simultaneous confidence band for the mean difference curve is used to detect the games which account for any pairwise difference.

Original language	English
Pages (from-to)	327-341
Number of pages	15
Journal	Experimental Economics
Volume	6
Issue number	3
DOIs	https://doi.org/10.1023/A:1026233605098
State	Published - Nov 2003

Bibliographical note

Funding Information:
The authors wish to thank Shmuel Zamir for his support and for helpful discussions. We thank Harel Goren for providing the data. This work was partly supported by the Center for Rationality and Interactive Decision Theory, The Hebrew University of Jerusalem.

Funding

The authors wish to thank Shmuel Zamir for his support and for helpful discussions. We thank Harel Goren for providing the data. This work was partly supported by the Center for Rationality and Interactive Decision Theory, The Hebrew University of Jerusalem.

Funders	Funder number
Center for Rationality and Interactive Decision Theory
Hebrew University of Jerusalem

Keywords

Conflict resolution problems
Displacement approach
Multiple comparisons
Randomisation tests

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10.1023/A:1026233605098

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abstract = "The intergroup prisoner's dilemma game was suggested by Bornstein (1992, Journal of Personality and Social Psychology. 7, 597-606) for modelling intergroup conflicts over continuous public goods. We analyse data of an experiment in which the game was played for 150 rounds, under three matching conditions. The objective is to study differences in the investment patterns of players in the different groups. A repeated measures analysis was conducted by Goren and Bornstein (1999, Games and Human Behaviour: Essays in Honor of Amnon Rapoport, pp. 299-314), involving data aggregation and strong distributional assumptions. Here we introduce a nonparametric approach based on permutation tests. Two new measures, the cumulative investment and the normalised cumulative investment, provide additional insight into the differences between groups. The proposed tests are based on the area under the investment curves. They identify an overall difference between the groups as well as pairwise differences. A simultaneous confidence band for the mean difference curve is used to detect the games which account for any pairwise difference.",

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author = "Ronit Nirel and Malka Gorfine",

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Nonparametric analysis of longitudinal binary data: An application to the intergroup prisoner's dilemma game

Abstract

Bibliographical note

Funding

Keywords

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