Table 3.

Entropy and Kullback-Leibler Divergence of Observed and Counterfactual Family Income Distributions by Race and Year, Decomposed by Family Type (Marital Status by Parental Status Groups)

	Entropy, White			Entropy, Black			KL Divergence
	Between Group	Within Group	Total	Between Group	Within Group	Total	Level	% Change from 1968
Men and Women
Observed Distributions
1968	1.667 (1.663, 1.671)	2.254 (2.251, 2.257)	3.921 (3.916, 3.925)	1.812 (1.799, 1.825)	2.023 (2.003, 2.040)	3.835 (3.813, 3.853)	.313 (.293, .338)	0
2008	1.842 (1.838, 1.845)	2.214 (2.211, 2.217)	4.056 (4.051, 4.060)	1.843 (1.833, 1.854)	2.116 (2.104, 2.125)	3.959 (3.942, 3.973)	.230 (.217, .246)	−26.528 (−33.112, −19.669)
Counterfactual Distributions
2008, demographics fixed to 1968	1.667 (1.663, 1.671)	2.214 (2.211, 2.217)	3.881 (3.876, 3.886)	1.812 (1.799, 1.825)	2.172 (2.161, 2.179)	3.983 (3.967, 3.998)	.167 (.154, .183)	−46.664 (−51.054, −42.183)
2008, income distributions fixed to 1968	1.842 (1.838, 1.845)	2.221 (2.215, 2.226)	4.062 (4.057, 4.068)	1.843 (1.833, 1.854)	1.871 (1.841, 1.896)	3.714 (3.683, 3.742)	(.353, .396)	18.786 (8.202, 29.947)
Women Only
Observed Distributions
1968	1.722 (1.717, 1.728)	2.218 (2.213, 2.223)	3.940 (3.934, 3.946)	1.882 (1.866, 1.895)	1.908 (1.879, 1.935)	3.790 (3.758, 3.818)	.323 (.298, .362)	0
2008	1.908 (1.905, 1.912)	2.183 (2.178, 2.187)	4.092 (4.085, 4.096)	1.885 (1.873, 1.896)	2.052 (2.036, 2.068)	3.938 (3.915, 3.956)	.288 (.266, .311)	−10.794 (−22.023, −1.127)
Counterfactual Distributions
2008, demographics fixed to 1968	1.722 (1.717, 1.728)	2.192 (2.189, 2.198)	3.916 (3.909, 3.922)	1.882 (1.866, 1.895)	2.127 (2.111, 2.139)	4.008 (3.986, 4.026)	.184 (.167, .207)	−42.990 (−48.736, −36.724)
2008, income distributions fixed to 1968	1.908 (1.905, 1.912)	2.159 (2.150, 2.167)	4.068 (4.058, 4.076)	1.885 (1.873, 1.896)	1.677 (1.633, 1.717)	3.561 (3.516, 3.604)	.425 (.399, .464)	31.555 (16.774, 48.119)

Source: March Current Population Survey data.

Note: 95% credible intervals in parentheses.