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Trutz Haase & Jonathan Pratschke THE 2011 POBAL HP DEPRIVATION INDEX FOR SMALL AREAS (SA) Statistical Features Dublin, August 2012.

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Presentation on theme: "Trutz Haase & Jonathan Pratschke THE 2011 POBAL HP DEPRIVATION INDEX FOR SMALL AREAS (SA) Statistical Features Dublin, August 2012."— Presentation transcript:

1 Trutz Haase & Jonathan Pratschke THE 2011 POBAL HP DEPRIVATION INDEX FOR SMALL AREAS (SA) Statistical Features Dublin, August 2012

2 INTRODUCTION TO THE 2011 POBAL HP DEPRIVATION INDEX This presentation highlights some of the more technical issues in the construction of the 2006 and 2011 Pobal HP Deprivation Index for Small Areas (SA) and is aimed at the more statistically-minded reader. At the level of the individual indicator variables, the presentation includes: The transformation of the 2006 indicator variables The transformation of the 2011 indicator variables A comparison of the 2006 and 2011 indicator variables At the level of the new Pobal HP Deprivation Index, the presentation includes: The change in the Absolute Index Scores The change in the Relative Index Scores

3  Demographic Decline (predominantly rural)  population loss and the social and demographic effects of emigration (age dependency, low education of adult population)  Social Class Deprivation (applying in rural and urban areas)  social class composition, education, housing quality  Labour Market Deprivation (predominantly urban)  unemployment, lone parents, low skills base THE UNDERLYING DIMENSIONS OF SOCIAL DISADVANTAGE

4 Age Dependency Rate  1 Population Change  2 Primary Education only  3 Third Level Education  4 Professional Classes  5 Persons per Room  6 Lone Parents  7 Semi- and Unskilled Classes  8 Male Unemployment Rate  9 Female Unemployment Rate  10 Demographic Growth Social Class Composition Labour Market Situation BASIC MODEL OF THE POBAL HP DEPRIVATION INDEX

5 THE TRANSFORMATION OF INDICATOR VARIABLES When deriving composite indicators for multi-dimensional concepts, like deprivation, it is common practice to transform the individual indicator variables to normalise their distribution prior to model estimation The most common transformations include: truncation - to avoid the undue influence of extreme outliers zero-centering – to eliminate unwanted trend influences logarithmic – to normalise a skewed distribution The transformation of scaled variables does not affect the order of observations The overall emphasis on deriving true measures for the composite index as a distance from the mean is thereby maintained, whilst avoiding that this is unduly influenced by a small number of extreme observations

6 POPULATION CHANGE (SA) Comparison of 2006 and 2011 r = 0.39 n = 18,246 Transformation:truncated at ±60% 2006 BeforeMean:12.0STD:29.1Skew:4.3Kurtosis:34.9 AfterMean:9.9STD:20.1Skew:1.3Kurtosis: BeforeMean:48.9STD:645.8Skew:34.8Kurtosis: 1527 AfterMean:7.6STD:21.2Skew:1.0Kurtosis:1.0

7 AGE DEPENDENCY RATE (SA) Comparison of 2006 and 2011 r = 0.75 n = 18,246 Transformation:truncated at 70% 2006 BeforeMean:31.1STD:8.8Skew:-0.35Kurtosis:3.0 AfterMean:31.1STD:8.7Skew:-0.55Kurtosis: BeforeMean:32.7STD:8.2Skew:-0.71Kurtosis:1.9 AfterMean:32.7STD:8.2Skew:-0.72Kurtosis:1.8

8 LONE PARENT RATE (SA) Comparison of 2006 and 2011 r = 0.61 n = 18,246 Transformation:natural log 2006 BeforeMean:20.9STD:17.5Skew:1.3Kurtosis:1.8 AfterMean:3.3STD:.54Skew:0.07Kurtosis: BeforeMean:21.5STD:16.5Skew:1.2Kurtosis:1.4 AfterMean:3.3STD:0.51Skew:0.01Kurtosis:-0.5

9 PRIMARY EDUCATION ONLY (SA) Comparison of 2006 and 2011 r = 0.90 n = 18,246 Transformation:zero-centred – natural log 2006 BeforeMean:18.7STD:12.1Skew:0.7Kurtosis:0.7 AfterMean:3.6STD:0.3Skew:0.02Kurtosis: BeforeMean:16.0STD:10.7Skew:0.8Kurtosis:0.5 AfterMean:3.7STD:0.3Skew:0.2Kurtosis:-0.6

10 THIRD LEVEL EDUCATION (SA) Comparison of 2006 and 2011 r = 0.90 n = 18,246 Transformation:zero-centred – natural log 2006 BeforeMean:30.9STD:16.8Skew:0.9Kurtosis:0.4 AfterMean:3.6STD:0.4Skew:-0.17Kurtosis: BeforeMean:30.7STD:16.6Skew:-0.85Kurtosis:0.47 AfterMean:3.6STD:0.4Skew:-0.20Kurtosis:-0.12

11 HIGHER AND LOWER PROFESSIONALS (SA) Comparison of 2006 and 2011 r = 0.89 n = 18,246 Transformation:none 2006 BeforeMean:32.9STD:15.0Skew:0.4Kurtosis:-0.04 AfterMean:STD:Skew:Kurtosis: 2011 BeforeMean:34.1STD:15.2Skew:0.4Kurtosis:-0.14 AfterMean:STD:Skew:Kurtosis:

12 SEMI- AND UNSKILLED SOCIAL CLASSES (SA) Comparison of 2006 and 2011 r = 0.81 n = 18,246 Transformation:natural log 2006 BeforeMean:19.4STD:10.6Skew:0.8Kurtosis:1.2 AfterMean:3.2STD:0.4Skew:-0.3Kurtosis: BeforeMean:18.6STD:9.8Skew:0.7Kurtosis:0.5 AfterMean:3.2STD:0.4Skew:-0.3Kurtosis:-0.1

13 MALE UNEMPLOYMENT RATE (SA) Comparison of 2006 and 2011 r = 0.62 n = 18,246 Transformation:natural log 2006 BeforeMean:9.1STD:8.4Skew:2.4Kurtosis:11.0 AfterMean:2.3STD:0.6Skew:0.2Kurtosis: BeforeMean:23.1STD:12.7Skew:1.1Kurtosis:1.1 AfterMean:3.1STD:0.5Skew:-0.3Kurtosis:0.2

14 FEMALE UNEMPLOYMENT RATE (SA) Comparison of 2006 and 2011 r = 0.51 n = 18,246 Transformation:natural log 2006 BeforeMean:8.3STD:7.3Skew:2.1Kurtosis:10.1 AfterMean:2.2STD:0.6Skew:-0.1Kurtosis: BeforeMean:15.5STD:9.5Skew:1.3Kurtosis:2.3 AfterMean:2.8STD:0.5Skew:-0.3Kurtosis:0.3

15 AVERAGE NUMBER OF PERSONS PER ROOM (SA) Comparison of 2006 and 2011 r = 0.70 n = 18,246 Transformation:truncated – natural log 2006 BeforeMean:0.51STD:0.09Skew:1.4Kurtosis:6.4 AfterMean:-0.69STD:0.16Skew:0.5Kurtosis: BeforeMean:0.51STD:0.18Skew:20.2Kurtosis: 854 AfterMean:-0.70STD:0.17Skew:0.7Kurtosis:0.3

16 COMPARISON OF 2006 AND 2011 ABSOLUTE INDEX SCORES

17 COMPARISON OF 2006 AND 2011 RELATIVE INDEX SCORES

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