<?xml version="1.0" encoding="UTF-8" standalone="yes"?><oembed><version><![CDATA[1.0]]></version><provider_name><![CDATA[Random Critical Analysis]]></provider_name><provider_url><![CDATA[https://randomcriticalanalysis.wordpress.com]]></provider_url><author_name><![CDATA[rcafdm]]></author_name><author_url><![CDATA[https://randomcriticalanalysis.wordpress.com/author/rcafdm/]]></author_url><title><![CDATA[IQ, test scores, GPA, income, and related correlations from&nbsp;NLSY97]]></title><type><![CDATA[link]]></type><html><![CDATA[<p>Diving into the <a href="https://www.nlsinfo.org/content/cohorts/nlsy97" target="_blank">NLSY97</a> dataset a bit right now and I thought I&#8217;d share some plots pertaining to IQ/achievement tests, income, GPA, educational attainment, and more.   Nothing here is particularly novel, if you&#8217;ve looked for this sort of data before, but sometimes it&#8217;s nice to have additional independent analysis or alternative presentations of the data.</p>
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<h3 style="text-align:center;"><span style="text-decoration:underline;"><strong>High school GPA-test score relationships</strong></span></h3>
<p style="text-align:center;">HS GPA by ASVAB in percentiles (IQ test)</p>
<p style="text-align:center;"><a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/gpa_by_asvab_q25.png" target="_blank"><img class="aligncenter wp-image-2383 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/gpa_by_asvab_q25.png?w=809&#038;h=482" alt="gpa_by_asvab_q25" width="809" height="482" /></a></p>
<p style="text-align:center;">HS GPA by PIAT (Peabody Individual Achievement Test, IQ test admin. in early childhood)</p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/gpa_by_piat.png" target="_blank"><img class="aligncenter wp-image-2380 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/gpa_by_piat.png?w=809&#038;h=482" alt="gpa_by_piat" width="809" height="482" /></a></p>
<p><!--more--></p>
<p style="text-align:center;">HS GPA by ACT composite score</p>
<p style="text-align:center;"><a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/gpa_by_act_q10.png" target="_blank"><img class="aligncenter wp-image-2381 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/gpa_by_act_q10.png?w=809&#038;h=482" alt="gpa_by_act_q10" width="809" height="482" /></a></p>
<p style="text-align:center;"><a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/gpa_by_asvab_q50.png"><br />
</a>HS GPA by SAT composite score<a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/gpa_by_asvab_q25.png"><br />
</a> <a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/gpa_by_satc_q25.png" target="_blank"><img class="aligncenter wp-image-2384 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/gpa_by_satc_q25.png?w=809&#038;h=482" alt="gpa_by_satc_q25" width="809" height="482" /></a></p>
<p style="text-align:center;"><em>[Note: Both the ACT and SAT suffer from some range restriction issues here relative to the ASVAB/AFQT, i.e., mostly the upper half of the ability distribution take it, not much below that]</em></p>
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<h3 style="text-align:center;"><span style="text-decoration:underline;"><strong>IQ/test score relationships</strong></span></h3>
<p style="text-align:center;">PIAT by ASVAB</p>
<p style="text-align:center;"><a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/piat_by_asvab_q20.png" target="_blank"><img class="aligncenter wp-image-2387 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/piat_by_asvab_q20.png?w=809&#038;h=482" alt="piat_by_asvab_q20" width="809" height="482" /></a></p>
<p style="text-align:center;">ASVAB by PIAT<br />
<a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/asvab_by_piat_q20.png" target="_blank"><img class="aligncenter wp-image-2386 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/asvab_by_piat_q20.png?w=809&#038;h=482" alt="asvab_by_piat_q20" width="809" height="482" /></a> SAT composite by ACT composite<a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/sat_by_act_q10.png" target="_blank"><img class="aligncenter wp-image-2388 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/sat_by_act_q10.png?w=809&#038;h=482" alt="sat_by_act_q10" width="809" height="482" /></a> ACT composite by SAT composite<a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/act_by_satc_q20.png" target="_blank"><img class="aligncenter wp-image-2389 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/act_by_satc_q20.png?w=809&#038;h=482" alt="act_by_satc_q20" width="809" height="482" /></a> ACT composite by ASVAB<a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/actc_by_asvab_q20.png" target="_blank"><img class="aligncenter wp-image-2390 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/actc_by_asvab_q20.png?w=809&#038;h=482" alt="actc_by_asvab_q20" width="809" height="482" /></a> SAT composite by ASVAB<a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/satc_by_asvab_q20.png" target="_blank"><img class="aligncenter wp-image-2391 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/satc_by_asvab_q20.png?w=809&#038;h=482" alt="satc_by_asvab_q20" width="809" height="482" /></a> ASVAB by SAT composite<a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/asvab_by_satc_q20.png" target="_blank"><img class="aligncenter wp-image-2392 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/asvab_by_satc_q20.png?w=809&#038;h=482" alt="asvab_by_satc_q20" width="809" height="482" /></a> ASVAB by SAT verbal<a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/asvab_by_satv_q20.png" target="_blank"><img class="aligncenter wp-image-2393 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/asvab_by_satv_q20.png?w=809&#038;h=482" alt="asvab_by_satv_q20" width="809" height="482" /></a> ASVAB by SAT math<a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/asvab_by_satm_q25.png" target="_blank"><img class="aligncenter wp-image-2394 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/asvab_by_satm_q25.png?w=809&#038;h=482" alt="asvab_by_satm_q25" width="809" height="482" /></a>SAT math by ASVAB<br />
<a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/satm_by_asvab_q25.png" target="_blank"><img class="aligncenter wp-image-2395 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/satm_by_asvab_q25.png?w=809&#038;h=482" alt="satm_by_asvab_q25" width="809" height="482" /></a> SAT verbal by ASVAB<a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/satv_by_asvab_q25.png" target="_blank"><img class="aligncenter wp-image-2396 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/satv_by_asvab_q25.png?w=809&#038;h=482" alt="satv_by_asvab_q25" width="809" height="482" /></a></p>
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<h3 style="text-align:center;"><span style="text-decoration:underline;"><strong>2011 income / test score relationships</strong></span></h3>
<p style="text-align:center;">Income by ASVAB</p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/income11_by_asvab_q251.png" target="_blank"><img class="aligncenter wp-image-2421 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/income11_by_asvab_q251.png?w=809&#038;h=482" alt="income11_by_asvab_q25" width="809" height="482" /></a></p>
<p style="text-align:center;">Income by SAT math</p>
<p style="text-align:center;"><a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/income11_by_satm_q10.png" target="_blank"><img class="aligncenter wp-image-2399 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/income11_by_satm_q10.png?w=809&#038;h=482" alt="income11_by_satm_q10" width="809" height="482" /></a>Income by SAT verbal<a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/income11_by_sat_v_q10.png" target="_blank"><img class="aligncenter wp-image-2398 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/income11_by_sat_v_q10.png?w=809&#038;h=482" alt="income11_by_sat_v_q10" width="809" height="482" /></a></p>
<p style="text-align:center;">Income by SAT composite</p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/income11_by_satc_q10.png" target="_blank"><img class="aligncenter wp-image-2401 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/income11_by_satc_q10.png?w=809&#038;h=482" alt="income11_by_satc_q10" width="809" height="482" /></a></p>
<p style="text-align:center;">Income by ACT composite</p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/income11_by_act_q10.png" target="_blank"><img class="aligncenter wp-image-2402 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/income11_by_act_q10.png?w=809&#038;h=482" alt="income11_by_act_q10" width="809" height="482" /></a></p>
<p style="text-align:center;">ASVAB by income (females-only)<br />
<a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/female_income_by_asvab.png" target="_blank"><img class="aligncenter wp-image-2408 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/female_income_by_asvab.png?w=809&#038;h=482" alt="female_income_by_asvab" width="809" height="482" /></a></p>
<p style="text-align:center;">ASVAB by income (males-only)<a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/male_income_by_asvab_q20.png" target="_blank"><img class="aligncenter wp-image-2409 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/male_income_by_asvab_q20.png?w=809&#038;h=482" alt="male_income_by_asvab_q20" width="809" height="482" /></a></p>
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<h3 style="text-align:center;"><span style="text-decoration:underline;"><strong>IQ/test score by educational attainment level</strong></span></h3>
<p style="text-align:center;">ASVAB (IQ)</p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/bw_iq_by_education_levels.png" target="_blank"><img class="aligncenter wp-image-2414 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/bw_iq_by_education_levels.png?w=809&#038;h=365" alt="bw_iq_by_education_levels" width="809" height="365" /></a></p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/iq_q20_by_ed_atmt.png" target="_blank"><img class="aligncenter wp-image-2428 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/iq_q20_by_ed_atmt.png?w=660&#038;h=367" alt="iq_q20_by_ed_atmt" width="660" height="367" /></a></p>
<p style="text-align:left;">***</p>
<p style="text-align:left;">The ASVAB is by far the best cognitive measure here since it is a decent test and it was administered to the vast majority of respondents (not true with the other tests here)!  The reported SAT and ACT scores, for instance, suffer from both range restriction and self-selection issues, even though the tests are very well correlated with ASVAB.  Nevertheless, I am including these other tests for completeness&#8230;.</p>
<p style="text-align:left;">***</p>
<p style="text-align:center;">SAT composite</p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/bw_ed_by_sat_com.png" target="_blank"><img class="aligncenter wp-image-2415 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/bw_ed_by_sat_com.png?w=809&#038;h=371" alt="bw_ed_by_sat_com" width="809" height="371" /></a></p>
<p style="text-align:center;">PIAT (IQ)</p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/bw_ed_by_piat.png" target="_blank"><img class="aligncenter wp-image-2416 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/bw_ed_by_piat.png?w=809&#038;h=371" alt="bw_ed_by_piat" width="809" height="371" /></a></p>
<p style="text-align:center;">ACT composite score</p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/bw_ed_by_act.png" target="_blank"><img class="aligncenter wp-image-2417 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/bw_ed_by_act.png?w=809&#038;h=371" alt="bw_ed_by_act" width="809" height="371" /></a></p>
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<p style="text-align:center;"><span style="text-decoration:underline;"><strong>Mean IQ by race, ethnicity, religion, etc</strong></span></p>
<p style="text-align:center;"><a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/iq_by_re.png" target="_blank"><img class="aligncenter wp-image-2433 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/iq_by_re.png?w=660&#038;h=608" alt="iq_by_re" width="660" height="608" /></a></p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/mean_iq_by_respondents_religion.png" target="_blank"><img class="aligncenter wp-image-2430 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/mean_iq_by_respondents_religion.png?w=660&#038;h=259" alt="mean_iq_by_respondents_religion" width="660" height="259" /></a> <a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/mean_iq_by_spouse_religion.png" target="_blank"><img class="aligncenter wp-image-2431 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/mean_iq_by_spouse_religion.png?w=660&#038;h=274" alt="mean_iq_by_spouse_religion" width="660" height="274" /></a></p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/iq_by_shared_religion.png" target="_blank"><img class="aligncenter wp-image-2432 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/iq_by_shared_religion.png?w=660&#038;h=212" alt="iq_by_shared_religion" width="660" height="212" /></a></p>
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<h3 style="text-align:center;"><span style="text-decoration:underline;"><strong>By Parents Education Levels</strong></span></h3>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/mean_iq_all_by_parents_combined_ed.png" target="_blank"><img class="aligncenter wp-image-2435 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/mean_iq_all_by_parents_combined_ed.png?w=660&#038;h=656" alt="mean_iq_all_by_parents_combined_ed" width="660" height="656" /></a> <a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/nhw_iq_by_parents_combined_ed.png" target="_blank"><img class="aligncenter wp-image-2436 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/nhw_iq_by_parents_combined_ed.png?w=660&#038;h=533" alt="nhw_iq_by_parents_combined_ed" width="660" height="533" /></a></p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/nhw_iq_by_father_ed.png" target="_blank"><img class="aligncenter wp-image-2441" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/nhw_iq_by_father_ed.png?w=484&#038;h=447" alt="nhw_iq_by_father_ed" width="484" height="447" /></a> <a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/nhw_iq_by_mother_ed.png" target="_blank"><img class="aligncenter wp-image-2440" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/nhw_iq_by_mother_ed.png?w=445&#038;h=411" alt="nhw_iq_by_mother_ed" width="445" height="411" /></a><a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/mean_iq_all_by_father_ed.png" target="_blank"><img class="aligncenter wp-image-2442" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/mean_iq_all_by_father_ed.png?w=552&#038;h=478" alt="mean_iq_all_by_father_ed" width="552" height="478" /></a><a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/iq_all_by_mother_ed.png" target="_blank"><img class="aligncenter wp-image-2439" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/iq_all_by_mother_ed.png?w=486&#038;h=448" alt="iq_all_by_mother_ed" width="486" height="448" /></a></p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/iq_nhw_by_parents_avg_years_ed.png" target="_blank"><img class="aligncenter wp-image-2443 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/iq_nhw_by_parents_avg_years_ed.png?w=660&#038;h=246" alt="iq_nhw_by_parents_avg_years_ed" width="660" height="246" /></a> <a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/iq_all_by_parents_avg_years_ed.png" target="_blank"><img class="aligncenter wp-image-2444 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/iq_all_by_parents_avg_years_ed.png?w=660&#038;h=224" alt="iq_all_by_parents_avg_years_ed" width="660" height="224" /></a></p>
<p>Note: I punched some quick numbers in for average years education as crude weights (S.W.A.G.) for cognitive intensity/discipline factor mainly, not as the necessarily actual empirical average number of years for each. None = 8, GED = 10, HS = 12,2-yr degree= 14,Bachelors = 16, Masters = 18, Professional degree = 20, PhD= 21 <em>(the average PhD probably takes considerably longer than this now <span class='wp-smiley wp-emoji wp-emoji-smile' title=':-)'>:-)</span>.</em></p>
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<h3 style="text-align:center;"><span style="text-decoration:underline;"><strong>(big) Scatterplot matrices</strong></span></h3>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/splom_many_tests1.png" target="_blank"><img class="aligncenter wp-image-2411 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/splom_many_tests1.png?w=809&#038;h=526" alt="splom_many_tests" width="809" height="526" /></a></p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/splom_personality.png" target="_blank"><img class="aligncenter wp-image-2412 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/06/splom_personality.png?w=809&#038;h=512" alt="splom_personality" width="809" height="512" /></a></p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/06/splom_many_tests.png"><br />
</a></p>
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