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Income, Poverty, and Health Insurance Coverage ... - Census Bureau

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Table 3.<br />

<strong>Income</strong> Distribution Measures Using Money <strong>Income</strong> <strong>and</strong> Equivalence-Adjusted <strong>Income</strong>: 2008<br />

<strong>and</strong> 2009<br />

(For information on confidentiality protection, sampling error, nonsampling error, <strong>and</strong> definitions, see www.census.gov/apsd/techdoc/cps/cpsmar10.pdf)<br />

2008 2009 Percentage change<br />

Money Equivalence- Money Equivalence- Money Equivalenceincome<br />

adjusted income income adjusted income income adjusted income<br />

Measure<br />

90 90 90 90 90 90<br />

percent percent percent percent percent percent<br />

confi- confi- confi- confi- confi- confiEstidence<br />

interval<br />

dence dence dence dence dence<br />

1 Esti- interval1 Esti- interval1 Esti- interval1 Esti- interval1 Esti- interval1 mate (±) mate (±) mate (±) mate (±) mate (±) mate (±)<br />

Shares of Aggregate<br />

<strong>Income</strong> by Percentile<br />

Lowest quintile 34 004 36 003 34 004 34 003 – 127 *–56 096<br />

Second quintile 86 009 94 007 86 009 92 007 – 124 *–21 087<br />

Middle quintile 147 016 151 011 146 016 150 011 –07 123 –07 085<br />

Fourth quintile 233 025 229 017 232 025 229 017 –04 124 – 084<br />

Highest quintile 500 054 490 036 503 055 494 036 06 125 08 083<br />

Top 5 percent 215 049 214 031 217 049 217 033 09 261 14 176<br />

Summary Measures<br />

Gini index of income<br />

inequality 0466 00045 0451 00028 0468 00046 0458 00028 04 111 *16 072<br />

Mean logarithmic deviation<br />

of income 0541 00104 0614 00077 0550 00105 0665 00081 17 222 *83 152<br />

Theil <br />

Atkinson:<br />

0398 00002 0380 00001 0403 00002 0394 00001 *13 005 *37 004<br />

e=025 0096 00018 0092 00012 0097 00018 0095 00012 11 216 *33 147<br />

e=050 0188 00029 0183 00019 0190 00030 0190 00020 10 175 *38 122<br />

e=075 <br />

– Represents or rounds to zero<br />

0285 00038 0287 00026 0288 00039 0300 00026 10 155 *45 106<br />

* Statistically different from zero at the 90 percent confidence level<br />

1 A 90 percent confidence interval (CI) is a measure of an estimate’s variability The larger the confidence interval in relation to the size of the estimate, the less reliable<br />

the estimate For more information, see “St<strong>and</strong>ard Errors <strong>and</strong> Their Use” at <br />

Source: U S <strong>Census</strong> <strong>Bureau</strong>, Current Population Survey, 2009 <strong>and</strong> 2010 Annual Social <strong>and</strong> Economic Supplements<br />

(Table A-3 lists historical equivalence- equivalence-adjusted income distribu- parameter. 22 Between 2008 <strong>and</strong> 2009,<br />

adjusted inequality measures.) tion showed a statistically significant the Atkinson measure calculated with<br />

For equivalence-adjusted income,<br />

between 2008 <strong>and</strong> 2009, there was<br />

increase between 2008 <strong>and</strong> 2009<br />

(Table 3). The Gini index increased<br />

from 0.451 in 2008 to 0.458 in<br />

an e=0.25 increased by 3.3 percent;<br />

<strong>and</strong> with e=0.75, it increased 4.5<br />

percent. 23<br />

an increase in the Gini index <strong>and</strong> the<br />

redistribution of aggregate income<br />

shares, suggesting an increase<br />

in income inequality. Specifically,<br />

2009—the second annual significant<br />

increase. The MLD, which measures<br />

the gap between the median <strong>and</strong> aver-<br />

Table A-3 shows equivalence-adjusted<br />

measures of income distribution<br />

for income years 1967 to 2009. 24<br />

between 2008 <strong>and</strong> 2009, for the lowest<br />

quintile, the aggregate share of<br />

income decreased from 3.6 percent to<br />

3.4 percent; <strong>and</strong> for the second quin-<br />

tile, the aggregate share of income<br />

declined from 9.4 percent to 9.2 percent.<br />

The changes between 2008 <strong>and</strong><br />

2009 in the aggregate shares for the<br />

middle, fourth, <strong>and</strong> highest quintiles<br />

were not statistically significant.<br />

age income, increased 8.3 percent<br />

between 2008 <strong>and</strong> 2009. The Theil<br />

index is similar to the Gini index in<br />

that it is a single statistic that summarizes<br />

the dispersion of income across<br />

the entire income distribution. The<br />

Theil index increased from 0.380 to<br />

0.394 between 2008 <strong>and</strong> 2009. The<br />

Atkinson measure, useful in determining<br />

which end of the distribution contributed<br />

most to inequality, increased<br />

Over the 1967-to-2009 period, all<br />

equivalence-adjusted inequality<br />

measures increased more than the<br />

22 Higher values for the epsilon parameter (e)<br />

when calculating the Atkinson measure increases<br />

sensitivity of changes at the lower end of the dis-<br />

tribution, while lower values increase sensitivity<br />

of changes at the upper end of the distribution.<br />

23 The difference between the percentage<br />

changes in the Atkinson measure based on<br />

e=0.25 <strong>and</strong> e=0.75 was not statistically signifi-<br />

cant.<br />

Each income inequality summary<br />

measure based on the<br />

between 2008 <strong>and</strong> 2009 for both<br />

high <strong>and</strong> low values of the epsilon (e)<br />

24 This is the first year a historical series of<br />

equivalence-adjusted income inequality has been<br />

produced back to 1967.<br />

10 <strong>Income</strong>, <strong>Poverty</strong>, <strong>and</strong> <strong>Health</strong> <strong>Insurance</strong> <strong>Coverage</strong> in the United States: 2009 U.S. <strong>Census</strong> <strong>Bureau</strong>

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