The Law of Proportionate Effect: The Growth of the UK Credit Union Movement at National and Regional Level
: This study examines credit union size‐growth relationships within the context of Gibrat's law of proportionate effect. This relates to the hypothesis that the growth of each firm in each period is random. The analysis covers the period 1994 to 2000 and is undertaken separately for the United...
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| Published in | Journal of business finance & accounting Vol. 32; no. 9-10; pp. 1827 - 1859 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Oxford, UK; Malden, USA
Blackwell Publishing Ltd/Inc
01.11.2005
Wiley Blackwell Blackwell Publishing Ltd |
| Series | Journal of Business Finance & Accounting |
| Subjects | |
| Online Access | Get full text |
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| Abstract | : This study examines credit union size‐growth relationships within the context of Gibrat's law of proportionate effect. This relates to the hypothesis that the growth of each firm in each period is random. The analysis covers the period 1994 to 2000 and is undertaken separately for the United Kingdom (UK) and its regions, Northern Ireland, England & Wales and Scotland. Sample attrition is a characteristic of the data and to avoid the problem of survivorship bias the inverse of the Mill's ratio, obtained from a probit regression for surviving credit unions, is introduced into the estimating relationship. In terms of the empirical results, little evidence emerged to support the law of proportionate effect as a theoretical paradigm. Although not universal, three broad findings emerged. First, small credit unions on average grow faster than their larger counterparts, although there was also some evidence of non‐linearity in this relationship. Secondly, growth persistence pertained with credit unions which experienced above average growth (below average growth) in one period, experiencing above average growth (below average growth) in the next. Thirdly, variability of growth was not independent of size with the cross‐sectional variance of the error term inversely related to size suggesting that small credit unions have greater growth variability than larger ones. |
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| AbstractList | This study examines credit union size-growth relationships within the context of Gibrat's law of proportionate effect. This relates to the hypothesis that the growth of each firm in each period is random. The analysis covers the period 1994 to 2000 and is undertaken separately for the United Kingdom (UK) and its regions, Northern Ireland, England & Wales and Scotland. Sample attrition is a characteristic of the data and to avoid the problem of survivorship bias the inverse of the Mill's ratio, obtained from a probit regression for surviving credit unions, is introduced into the estimating relationship. In terms of the empirical results, little evidence emerged to support the law of proportionate effect as a theoretical paradigm. Although not universal, three broad findings emerged. First, small credit unions on average grow faster than their larger counterparts, although there was also some evidence of non-linearity in this relationship. Secondly, growth persistence pertained with credit unions which experienced above average growth (below average growth) in one period, experiencing above average growth (below average growth) in the next. Thirdly, variability of growth was not independent of size with the cross-sectional variance of the error term inversely related to size suggesting that small credit unions have greater growth variability than larger ones. Reprinted by permission of Blackwell Publishers This study examines credit union size-growth relationships within the context of Gibrat's law of proportionate effect. This relates to the hypothesis that the growth of each firm in each period is random. The analysis covers the period 1994 to 2000 and is undertaken separately for the United Kingdom (UK) and its regions, Northern Ireland, England & Wales and Scotland. Sample attrition is a characteristic of the data and to avoid the problem of survivorship bias the inverse of the Mill's ratio, obtained from a probit regression for surviving credit unions, is introduced into the estimating relationship. In terms of the empirical results, little evidence emerged to support the law of proportionate effect as a theoretical paradigm. Although not universal, three broad findings emerged. First, small credit unions on average grow faster than their larger counterparts, although there was also some evidence of non-linearity in this relationship. Secondly, growth persistence pertained with credit unions which experienced above average growth (below average growth) in one period, experiencing above average growth (below average growth) in the next. Thirdly, variability of growth was not independent of size with the cross-sectional variance of the error term inversely related to size suggesting that small credit unions have greater growth variability than larger ones. [PUBLICATION ABSTRACT] This study examines credit union size‐growth relationships within the context of Gibrat's law of proportionate effect. This relates to the hypothesis that the growth of each firm in each period is random. The analysis covers the period 1994 to 2000 and is undertaken separately for the United Kingdom (UK) and its regions, Northern Ireland, England & Wales and Scotland. Sample attrition is a characteristic of the data and to avoid the problem of survivorship bias the inverse of the Mill's ratio, obtained from a probit regression for surviving credit unions, is introduced into the estimating relationship. In terms of the empirical results, little evidence emerged to support the law of proportionate effect as a theoretical paradigm. Although not universal, three broad findings emerged. First, small credit unions on average grow faster than their larger counterparts, although there was also some evidence of non‐linearity in this relationship. Secondly, growth persistence pertained with credit unions which experienced above average growth (below average growth) in one period, experiencing above average growth (below average growth) in the next. Thirdly, variability of growth was not independent of size with the cross‐sectional variance of the error term inversely related to size suggesting that small credit unions have greater growth variability than larger ones. : This study examines credit union size‐growth relationships within the context of Gibrat's law of proportionate effect. This relates to the hypothesis that the growth of each firm in each period is random. The analysis covers the period 1994 to 2000 and is undertaken separately for the United Kingdom (UK) and its regions, Northern Ireland, England & Wales and Scotland. Sample attrition is a characteristic of the data and to avoid the problem of survivorship bias the inverse of the Mill's ratio, obtained from a probit regression for surviving credit unions, is introduced into the estimating relationship. In terms of the empirical results, little evidence emerged to support the law of proportionate effect as a theoretical paradigm. Although not universal, three broad findings emerged. First, small credit unions on average grow faster than their larger counterparts, although there was also some evidence of non‐linearity in this relationship. Secondly, growth persistence pertained with credit unions which experienced above average growth (below average growth) in one period, experiencing above average growth (below average growth) in the next. Thirdly, variability of growth was not independent of size with the cross‐sectional variance of the error term inversely related to size suggesting that small credit unions have greater growth variability than larger ones. This study examines credit union size-growth relationships within the context of Gibrat's law of proportionate effect. This relates to the hypothesis that the growth of each firm in each period is random. The analysis covers the period 1994 to 2000 and is undertaken separately for the United Kingdom (UK) and its regions, Northern Ireland, England & Wales and Scotland. Sample attrition is a characteristic of the data and to avoid the problem of survivorship bias the inverse of the Mill's ratio, obtained from a probit regression for surviving credit unions, is introduced into the estimating relationship. In terms of the empirical results, little evidence emerged to support the law of proportionate effect as a theoretical paradigm. Although not universal, three broad findings emerged. First, small credit unions on average grow faster than their larger counterparts, although there was also some evidence of non-linearity in this relationship. Secondly, growth persistence pertained with credit unions which experienced above average growth (below average growth) in one period, experiencing above average growth (below average growth) in the next. Thirdly, variability of growth was not independent of size with the cross-sectional variance of the error term inversely related to size suggesting that small credit unions have greater growth variability than larger ones. Copyright Blackwell Publishers Ltd, 2005. |
| Author | McKillop, Donal G. Ward, Ann-Marie |
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| Notes | ark:/67375/WNG-DQDZ1J9K-X ArticleID:JBFA649 istex:F774EA87C639D3967D719A23FBA79F74A8775724 The authors are respectively, Lecturer in Accounting at Queen's University, Belfast; and Professor of Financial Services at Queen's University, Belfast. They are grateful for the very useful comments of the anonymous referees on an earlier draft of the paper. ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
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| Snippet | : This study examines credit union size‐growth relationships within the context of Gibrat's law of proportionate effect. This relates to the hypothesis that... This study examines credit union size-growth relationships within the context of Gibrat's law of proportionate effect. This relates to the hypothesis that the... This study examines credit union size‐growth relationships within the context of Gibrat's law of proportionate effect. This relates to the hypothesis that the... |
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| SubjectTerms | Business studies Correlation analysis Credit co-operatives Credit unions Economic models Finance industry growth Industrywide conditions Regions Studies the law of proportionate effect United Kingdom |
| Title | The Law of Proportionate Effect: The Growth of the UK Credit Union Movement at National and Regional Level |
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