<?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[Some additional plots of within school achievement&nbsp;gaps]]></title><type><![CDATA[link]]></type><html><![CDATA[<p style="text-align:left;">In a <a title="Within school comparisons by ethnic group" href="https://randomcriticalanalysis.wordpress.com/2015/05/19/small-update-to-my-prior-post-on-concentrated-poverty/" target="_blank">prior post</a> I compared the performance of various ethnic groups directly against each other within the same schools.  That method has the advantage of reducing the effect of racial/ethnic composition from influencing the apparent relationship between each groups performance within school environments.  However, there aren&#8217;t always enough of both groups to clear the minimum reporting requirements for student privacy and the school average is a better indicator of &#8220;school quality&#8221; in some peoples&#8217; minds.  Below I simply took the reported average for all students on the x-axis so that I could compare multiple groups at once.</p>
<p style="text-align:left;">I do not believe that this is a particularly good way to view the data, since it&#8217;s confounded by racial/ethnic composition and sorting by education levels (despite the obvious correlation), but if you do happen to think that the average score is a particularly good measure of &#8220;school quality&#8221; this approach might be eye opening.</p>
<p style="text-align:left;">I also plotted this same data for poor and non-poor blacks and whites <strong><em>and</em></strong> (all race/ethnic) scores by parental education level below.  You&#8217;ll need to scroll down a ways to see it though.</p>
<h3 style="text-align:center;"><span style="text-decoration:underline;"><strong>English</strong></span></h3>
<p style="text-align:center;">English Grade 2</p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_ela_g2.png" target="_blank"><img class="aligncenter wp-image-1934 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_ela_g2.png?w=660&#038;h=475" alt="school_ela_g2" width="660" height="475" /></a></p>
<p style="text-align:center;">English Grade 4</p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_ela_g4.png" target="_blank"><img class="aligncenter wp-image-1933 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_ela_g4.png?w=660&#038;h=475" alt="school_ela_g4" width="660" height="475" /></a></p>
<p style="text-align:center;">English Grade 6</p>
<p><img class="aligncenter size-full wp-image-1932" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_ela_g6.png?w=660&#038;h=475" alt="school_ela_g6" width="660" height="475" /></p>
<p><!--more--></p>
<p style="text-align:center;">English Grade 8</p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_ela_g8.png" target="_blank"><img class="aligncenter wp-image-1931 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_ela_g8.png?w=660&#038;h=475" alt="school_ela_g8" width="660" height="475" /></a></p>
<p style="text-align:center;">English Grade 10</p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_ela_g10.png" target="_blank"><img class="aligncenter wp-image-1930 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_ela_g10.png?w=660&#038;h=475" alt="school_ela_g10" width="660" height="475" /></a></p>
<p style="text-align:center;">English Grade 11</p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_ela_g11.png" target="_blank"><img class="aligncenter wp-image-1929 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_ela_g11.png?w=660&#038;h=475" alt="school_ela_g11" width="660" height="475" /></a></p>
<hr />
<h3 style="text-align:center;"><span style="text-decoration:underline;"><strong>Maths</strong></span></h3>
<h3 style="text-align:center;">Math Grade 2<a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_math_g6.png"><br />
</a><a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_math_g2.png" target="_blank"><img class="aligncenter wp-image-1946 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_math_g2.png?w=660&#038;h=475" alt="school_math_g2" width="660" height="475" /></a></h3>
<p style="text-align:center;">Math Grade 4</p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/schol_math_g4.png" target="_blank"><img class="aligncenter wp-image-1945 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/schol_math_g4.png?w=660&#038;h=475" alt="schol_math_g4" width="660" height="475" /></a></p>
<p style="text-align:center;">Math Grade 6</p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_math_g6.png" target="_blank"><img class="aligncenter wp-image-1944 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_math_g6.png?w=660&#038;h=475" alt="school_math_g6" width="660" height="475" /></a></p>
<p style="text-align:center;">Math Grade 7</p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_math_g7.png" target="_blank"><img class="aligncenter wp-image-1943 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_math_g7.png?w=660&#038;h=475" alt="school_math_g7" width="660" height="475" /></a></p>
<p style="text-align:center;">Math summative (grade 9-11)</p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_math_summative.png" target="_blank"><img class="aligncenter wp-image-1928 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_math_summative.png?w=660&#038;h=475" alt="school_math_summative" width="660" height="475" /></a></p>
<p style="text-align:center;">Algebra I</p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_algebrai.png" target="_blank"><img class="aligncenter wp-image-1936 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_algebrai.png?w=660&#038;h=475" alt="school_algebraI" width="660" height="475" /></a></p>
<p style="text-align:center;">Algebra II</p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_algebraii.png" target="_blank"><img class="aligncenter wp-image-1935 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_algebraii.png?w=660&#038;h=475" alt="school_algebraII" width="660" height="475" /></a></p>
<p style="text-align:center;">Geometry</p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_geometry.png" target="_blank"><img class="aligncenter wp-image-1941 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_geometry.png?w=660&#038;h=475" alt="school_geometry" width="660" height="475" /></a></p>
<hr />
<h3 style="text-align:center;"><span style="text-decoration:underline;"><strong>Sciences</strong></span></h3>
<p style="text-align:center;">Science Grade 5</p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_sci_g5.png" target="_blank"><img class="aligncenter wp-image-1937 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_sci_g5.png?w=660&#038;h=475" alt="school_sci_g5" width="660" height="475" /></a></p>
<p style="text-align:center;">Science Grade 8</p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_sci_g8.png" target="_blank"><img class="aligncenter wp-image-1938 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_sci_g8.png?w=660&#038;h=475" alt="school_sci_g8" width="660" height="475" /></a></p>
<p style="text-align:center;">Science Grade 10</p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_scig10.png" target="_blank"><img class="aligncenter wp-image-1939 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_scig10.png?w=660&#038;h=475" alt="school_scig10" width="660" height="475" /></a></p>
<p style="text-align:center;">Physics</p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_physics.png" target="_blank"><img class="aligncenter wp-image-1940 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_physics.png?w=660&#038;h=475" alt="school_physics" width="660" height="475" /></a></p>
<p style="text-align:center;">Earth Science</p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_earth_science.png" target="_blank"><img class="aligncenter wp-image-1947 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_earth_science.png?w=660&#038;h=475" alt="school_earth_science" width="660" height="475" /></a></p>
<p style="text-align:center;">Biology</p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_biology.png" target="_blank"><img class="aligncenter wp-image-1948 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_biology.png?w=660&#038;h=475" alt="school_biology" width="660" height="475" /></a></p>
<p style="text-align:center;">Chemistry</p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_chemistry.png" target="_blank"><img class="aligncenter wp-image-1949 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_chemistry.png?w=660&#038;h=475" alt="school_chemistry" width="660" height="475" /></a></p>
<hr />
<h3 style="text-align:center;"><span style="text-decoration:underline;"><strong>History</strong></span></h3>
<p style="text-align:center;">U.S. History</p>
<p style="text-align:center;"><a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_us_hist.png" target="_blank"><img class="aligncenter wp-image-1927 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_us_hist.png?w=660&#038;h=475" alt="school_us_hist" width="660" height="475" /></a>World History<a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_math_summative.png"><br />
</a> <a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_world_hist.png" target="_blank"><img class="aligncenter wp-image-1942 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/school_world_hist.png?w=660&#038;h=475" alt="school_world_hist" width="660" height="475" /></a></p>
<hr />
<p style="text-align:center;">
<p style="text-align:center;">
<p style="text-align:center;">
<h3 style="text-align:center;"><span style="text-decoration:underline;"><strong>Some black &amp; white comparisons with SES measures</strong></span></h3>
<p style="text-align:center;">Math Grade 2<a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/sses_bw_math_g2.png" target="_blank"><img class="aligncenter wp-image-1960 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/sses_bw_math_g2.png?w=660&#038;h=475" alt="sses_bw_math_g2" width="660" height="475" /></a></p>
<p style="text-align:center;">Math Grade 6<a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/sses_bw_math_g6.png" target="_blank"><img class="aligncenter wp-image-1959 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/sses_bw_math_g6.png?w=660&#038;h=475" alt="sses_bw_math_g6" width="660" height="475" /></a></p>
<p style="text-align:center;">Math Grade 7<a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/sses_bw_math_g7.png" target="_blank"><img class="aligncenter wp-image-1958 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/sses_bw_math_g7.png?w=660&#038;h=475" alt="sses_bw_math_g7" width="660" height="475" /></a></p>
<p style="text-align:center;">Math Summative<a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/sses_bw_math_summative.png" target="_blank"><img class="aligncenter wp-image-1957 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/sses_bw_math_summative.png?w=660&#038;h=475" alt="sses_bw_math_summative" width="660" height="475" /></a></p>
<p style="text-align:center;">Algebra II</p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/sses_bw_algebraii.png" target="_blank"><img class="aligncenter wp-image-1954 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/sses_bw_algebraii.png?w=660&#038;h=475" alt="sses_bw_algebraII" width="660" height="475" /></a></p>
<p style="text-align:center;">English Grade 2<a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/sses_bw_ela_g2.png" target="_blank"><img class="aligncenter wp-image-1964 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/sses_bw_ela_g2.png?w=660&#038;h=475" alt="sses_bw_ela_g2" width="660" height="475" /></a></p>
<p style="text-align:center;">English Grade 6<a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/sses_bw_ela_g6.png" target="_blank"><img class="aligncenter wp-image-1963 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/sses_bw_ela_g6.png?w=660&#038;h=475" alt="sses_bw_ela_g6" width="660" height="475" /></a></p>
<p style="text-align:center;">English Grade 9<a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/sses_bw_ela_g9.png" target="_blank"><img class="aligncenter wp-image-1962 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/sses_bw_ela_g9.png?w=660&#038;h=475" alt="sses_bw_ela_g9" width="660" height="475" /></a>English Grade 11<a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/sses_bw_ela_g11.png" target="_blank"><img class="aligncenter wp-image-1961 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/sses_bw_ela_g11.png?w=660&#038;h=475" alt="sses_bw_ela_g11" width="660" height="475" /></a></p>
<p style="text-align:center;">U.S. History</p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/sses_bw_us_hist.png" target="_blank"><img class="aligncenter wp-image-1953 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/sses_bw_us_hist.png?w=660&#038;h=475" alt="sses_bw_us_hist" width="660" height="475" /></a></p>
<p style="text-align:center;">Physics<a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/sses_bw_physics.png" target="_blank"><img class="aligncenter wp-image-1956 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/sses_bw_physics.png?w=660&#038;h=475" alt="sses_bw_physics" width="660" height="475" /></a>You might notice that within similarly ranked schools poor whites generally perform at least as well as non-poor blacks (save mainly early elementary school subjects).</p>
<hr />
<p style="text-align:center;">
<h3 style="text-align:center;"><span style="text-decoration:underline;"><strong>Some comparisons by parental education levels (all races/ethnicities included)</strong></span></h3>
<p style="text-align:center;">English Grade 2</p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_ela_g2.png" target="_blank"><img class="aligncenter wp-image-1966 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_ela_g2.png?w=660&#038;h=475" alt="ses_school_ela_g2" width="660" height="475" /></a></p>
<p style="text-align:center;">English Grade 4</p>
<p><a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_ela_g4.png" target="_blank"><img class="aligncenter wp-image-1967 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_ela_g4.png?w=660&#038;h=475" alt="ses_school_ela_g4" width="660" height="475" /></a></p>
<p style="text-align:center;">English Grade 6<br />
<a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_ela_g6.png" target="_blank"><img class="aligncenter wp-image-1968 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_ela_g6.png?w=660&#038;h=475" alt="ses_school_ela_g6" width="660" height="475" /></a> English Grade 8<a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_ela_g8.png" target="_blank"><img class="aligncenter wp-image-1969 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_ela_g8.png?w=660&#038;h=475" alt="ses_school_ela_g8" width="660" height="475" /></a></p>
<p style="text-align:center;">English Grade 10<a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_ela_g10.png" target="_blank"><img class="aligncenter wp-image-1970 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_ela_g10.png?w=660&#038;h=475" alt="ses_school_ela_g10" width="660" height="475" /></a> English Grade 11<a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_ela_g11.png" target="_blank"><img class="aligncenter wp-image-1971 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_ela_g11.png?w=660&#038;h=475" alt="ses_school_ela_g11" width="660" height="475" /></a></p>
<p style="text-align:center;">U.S. History<a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_us_history.png" target="_blank"><img class="aligncenter wp-image-1972 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_us_history.png?w=660&#038;h=475" alt="ses_school_us_history" width="660" height="475" /></a></p>
<p style="text-align:center;">Math Grade 2<a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_math_g2.png" target="_blank"><img class="aligncenter wp-image-1973 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_math_g2.png?w=660&#038;h=475" alt="ses_school_math_g2" width="660" height="475" /></a> Math Grade 4<a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_math_g4.png" target="_blank"><img class="aligncenter wp-image-1974 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_math_g4.png?w=660&#038;h=475" alt="ses_school_math_g4" width="660" height="475" /></a> Math Grade 6<a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_math_g6.png" target="_blank"><img class="aligncenter wp-image-1975 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_math_g6.png?w=660&#038;h=475" alt="ses_school_math_g6" width="660" height="475" /></a> Math grade 7<a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_math_g7.png" target="_blank"><img class="aligncenter wp-image-1976 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_math_g7.png?w=660&#038;h=475" alt="ses_school_math_g7" width="660" height="475" /></a> Math summative (grades 9-11)<a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_math_summative.png" target="_blank"><img class="aligncenter wp-image-1977 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_math_summative.png?w=660&#038;h=475" alt="ses_school_math_summative" width="660" height="475" /></a></p>
<p style="text-align:center;">Algebra I<a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_algebrai.png" target="_blank"><img class="aligncenter wp-image-1978 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_algebrai.png?w=660&#038;h=475" alt="ses_school_algebraI" width="660" height="475" /></a> Algebra II<a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_algebraii.png" target="_blank"><img class="aligncenter wp-image-1979 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_algebraii.png?w=660&#038;h=475" alt="ses_school_algebraII" width="660" height="475" /></a> Physics<a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_physics.png" target="_blank"><img class="aligncenter wp-image-1980 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_physics.png?w=660&#038;h=475" alt="ses_school_physics" width="660" height="475" /></a>Science Grade 5<br />
<a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_sci_g5.png" target="_blank"><img class="aligncenter wp-image-1981 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_sci_g5.png?w=660&#038;h=475" alt="ses_school_sci_g5" width="660" height="475" /></a> Science Grade 8<a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_sci_g8.png" target="_blank"><img class="aligncenter wp-image-1982 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_sci_g8.png?w=660&#038;h=475" alt="ses_school_sci_g8" width="660" height="475" /></a> Science Grade 10</p>
<p style="text-align:center;">
<p style="text-align:center;"><a href="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_sci_g10.png" target="_blank"><img class="aligncenter wp-image-1983 size-full" src="https://randomcriticalanalysis.files.wordpress.com/2015/05/ses_school_sci_g10.png?w=660&#038;h=475" alt="ses_school_sci_g10" width="660" height="475" /></a></p>
<p style="text-align:center;">
<p style="text-align:left;">You might note that the better the average score the larger the apparent difference between education levels.  This &#8220;effect&#8221; is probably somewhat real, but it is likely confounded by race/ethnicity too, as in, the &#8220;educated&#8221; on the left side of the distribution are apt to be proportionately more black and latino than on the right side.  There are also meaningful differences in the academic rigor behind different levels of credentials (e.g., CalTech physics PhD  != 3rd tier U. education PhD) and people sort along these lines within and between school districts.</p>
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