Reasonable Sample Sizes for Convergence to Normality

Carsten Schröder and Shlomo Yitzhaki

No 714, SOEPpapers on Multidisciplinary Panel Data Research from DIW Berlin, The German Socio-Economic Panel (SOEP)

Abstract: The central limit theorem says that, provided an estimator fulfills certain weak conditions, then, for reasonable sample sizes, the sampling distribution of the estimator converges to normality. We propose a procedure to find out what a “reasonably large sample size” is. The procedure is based on the properties of Gini’s mean difference decomposition. We show the results of implementations of the procedure from simulated datasets and data from the German Socio‐economic Panel.

Keywords: central limit theorem; Gini’s mean difference composition (search for similar items in EconPapers)
JEL-codes: C1 C4 (search for similar items in EconPapers)
Pages: 7 p.
Date: 2014
New Economics Papers: this item is included in nep-ecm
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:diw:diwsop:diw_sp714

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