[This post is under revision]
I did a cross-tab query in the NAEP Data Explorer of grade 8 math scores (2011) of those who identify as both black and multiracial. The average was 278, whereas the white average was 295 and the black average 263. The mixed-race-white gap is as predicted by the hereditarian model.
Some other results for grade 8 math:
Mixed-race Asians 299
Unmixed Asians 308
Hawaiians/Pacific Islanders 271
However, I’m not sure if both of those cross-tabbed race questions were asked from everybody, so the sample sizes may be low. The standard errors were small, though.
Looking quickly at grade 8 reading and grade 4 math (the results of which you listed above), I get the following:
Grade 8 reading
Mixed-race blacks 259
Grade 4 math:
Mixed-race blacks 239
I’m not quite sure how the race variables should be interpreted.
You can do a cross-tab of those who identify as both white and black. The mean is 279 for grade 8 math. This would suggest that the “white” and “black” variables include also mixed-race individuals, and to get the means of unmixed groups, you should not use those variables. (The Asian-white mixed-race mean is 298, BTW.) Using the variable labeled “Race/ethnicity using 2011 guidelines, student-reported”, you get these mean values.
Correct link: http://oi39.tinypic.com/2hqxh0g.jpg
Great find. I see that there is also information concerning nativity. And that one can link to the international explorer here. Awesome.
As for mixed race data, let’s limit our discussion to 2011 Grade 8 math. It seems there are two race variables “school (i.e., parent) reported race” and “self-reported race.” The cross tab searches that you’re doing are based on self-report. Do a cross tab for school and self reported race using the 2011 definitions. This is what I get: (Rounding, and deriving N for S.E and SD)
(Rounding and using DRACE10)
Self White/Parent White: 276
Self White: 276
Parent White: 274
Self White/Parent Black 248
Self Black: 249
Parent Black: 249
Parent 2more races: 269 (SE= 1.186, SD=34.12)
derived N= 827
Self 2more races: 267 (SE=.694, SD=32.24)
derived N= 2158
Self/Parent 2more races: 273 (SE= 1.405, SD=32.48) derived N= 534
SelfWhite/Parent Black: 253 (SE=3.979, SD=37.11)
SelfBlack/ParentWhite: 258 (SE=2.191, SD=31.98)
Self 2more/Parent Black: 257 (SE=.993, SD=30.73)
SelfBlack/Parent 2more: 261 (3.577, SD=35.67)
Self report alone looks like a unreliable indictor. Using self report (White, Black) we get:
White (variable BA21201): 272
Black (variable BB21201): 250
Cross tab: 258 (SE=1.105, SD=31.91)
derived N: 834
Anyways, so why was my original surmise so off?
When replying, let’s make sure to specify the variables used. There are 1/2 a dozen race variables:
Black (chose one or more)
Which of the following best describes you? Fill in one or more ovals. Black or African American (student-reported)
Race/ethnicity that best describes you
Full Title: Which [race/ethnicity] best describes you? (One of two questions combined to produce self-reported student race/ethnicity.) (student-reported)
Full Title: Which [race/ethnicity] best describes you? (Results from this question are combined with other data to produce racial/ethnic categories for NAEP reports.) (student-reported)
Race/ethnicity using 2011 guidelines, student-reported
Full Title: Race/ethnicity based on student responses to two background questions; organized according to OMB guidelines introduced in the 2011 assessment, with an option to choose more than one race and a Native Hawaiian/Other Pacific Islander category that is separate from Asian; variable not used in NAEP reporting
Race/ethnicity allowing multiple responses, student-reported
Full Title: Race/ethnicity based on student responses to two background questions with an option to choose more than one race; data for Asian and Native Hawaiian/Other Pacific Islander categories are combined; variable not used in NAEP reporting
In my most recent analysis, I might have been using reading instead of math.
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