<p>Harvard, Cal and Stanford "exceed" Michigan in the research academics bit. The others you mention do not exceed Michigan. Overall, 9 of the remainin schools you mention are certainly as good as Michigan, and they all rank between #4 and #13 or so, with very little separating them. But UCSD, Caltech, Northwestern and Duke are not quite as well rounded.</p>
<p>If you look at the combined rankings in the main disciplines, you see that Michigan is one of the top 10 for sure...arguably one of the top 5. The link below shows you the ranking based on the USNWR averages for research programs.</p>
<p><a href="http://www.philosophicalgourmet.com/topresearch.htm%5B/url%5D">http://www.philosophicalgourmet.com/topresearch.htm</a></p>
<p>Here are some research rankings of the universities you feel are better or equal to Michigan in the various disciplines according to the USNWR. The # indicates the national ranking and the number if () indicates the peer assessment score.</p>
<p>BIOLOGY:</p>
<h1>2 MIT (4.8)</h1>
<h1>5 Caltech (4.7)</h1>
<h1>5 Johns Hopkins (4.7)</h1>
<h1>9 Princeton (4.5)</h1>
<h1>9 Yale (4.5)</h1>
<h1>12 Duke (4.4)</h1>
<h1>14 Columbia (4.3)</h1>
<h1>14 Cornell (4.3)</h1>
<h1>14 Michigan (4.3)</h1>
<h1>14 UCSD (4.3)</h1>
<h1>20 Chicago (4.2)</h1>
<h1>20 UCLA (4.2)</h1>
<h1>23 Penn (4.1)</h1>
<h1>36 Northwestern (3.6)</h1>
<p>CHEMISTRY:</p>
<h1>2 Caltech (4.9)</h1>
<h1>2 MIT (4.9)</h1>
<h1>8 Columbia (4.4)</h1>
<h1>8 Cornell (4.4)</h1>
<h1>11 UCLA (4.3)</h1>
<h1>12 Northwestern (4.2)</h1>
<h1>14 Chicago (4.1)</h1>
<h1>14 Princeton (4.1)</h1>
<h1>14 Yale (4.1)</h1>
<h1>18 Penn (4.0)</h1>
<h1>21 Michigan (3.9)</h1>
<h1>22 UCSD (3.8)</h1>
<h1>27 Johns Hopkins (3.7)</h1>
<h1>43 Duke (3.3)</h1>
<p>COMPUTER SCIENCE:</p>
<h1>1 MIT (4.9)</h1>
<h1>6 Cornell (4.5)</h1>
<h1>9 Princeton (4.3)</h1>
<h1>10 Caltech (4.1)</h1>
<h1>14 Michigan (3.9)</h1>
<h1>14 UCLA (3.9)</h1>
<h1>17 Penn (3.8)</h1>
<h1>20 Columbia (3.7)</h1>
<h1>20 Duke (3.7)</h1>
<h1>20 UCSD (3.7)</h1>
<h1>25 Yale (3.6)</h1>
<h1>29 Johns Hopkins (3.3)</h1>
<h1>35 University of Chicago (3.2)</h1>
<p>N/A Northwestern</p>
<p>ECONOMICS:</p>
<h1>1 MIT (5.0)</h1>
<h1>1 Chicago (5.0)</h1>
<h1>3 Princeton (4.9)</h1>
<h1>7 Yale (4.8)</h1>
<h1>8 Northwestern (4.6)</h1>
<h1>9 Penn (4.5)</h1>
<h1>10 UCSD (4.3)</h1>
<h1>11 Columbia (4.2)</h1>
<h1>11 Michigan (4.2)</h1>
<h1>11 UCLA (4.2)</h1>
<h1>17 Caltech (4.0)</h1>
<h1>17 Cornell 4.0)</h1>
<h1>21 Duke (3.7)</h1>
<h1>24 Johns Hopkins (3.6)</h1>
<p>ENGLISH:</p>
<h1>1 Yale (4.9)</h1>
<h1>4 Princeton (4.8)</h1>
<h1>6 Chicago (4.7)</h1>
<h1>6 Cornell (4.7)</h1>
<h1>8 Columbia (4.6)</h1>
<h1>8 Johns Hopkins (4.6)</h1>
<h1>10 Penn (4.5)</h1>
<h1>10 UCLA (4.5)</h1>
<h1>12 Duke (4.4)</h1>
<h1>12 Michigan (4.4)</h1>
<h1>19 Northwestern (4.0)</h1>
<p>N/A Caltech
N/A MIT
N/A UCSD</p>
<p>GEOLOGY:</p>
<h1>1 Caltech (4.9)</h1>
<h1>2 MIT (4.8)</h1>
<h1>5 Columbia (4.3)</h1>
<h1>5 Michigan (4.3)</h1>
<h1>10 Chicago (4.0)</h1>
<h1>11 Cornell (3.9)</h1>
<h1>11 Johns Hopkins (3.9)</h1>
<h1>11 Princeton (3.9)</h1>
<h1>11 UCLA (3.9)</h1>
<h1>11 UCSD (3.9)</h1>
<h1>20 Yale (3.6)</h1>
<p>N/A Duke
N/A Northwestern
N/A Penn</p>
<p>HISTORY:</p>
<h1>1 Yale (4.9)</h1>
<h1>2 Princeton (4.8)</h1>
<h1>4 Chicago (4.7)</h1>
<h1>7 Columbia (4.6)</h1>
<h1>7 Michigan (4.6)</h1>
<h1>9 Johns Hopkins (4.5)</h1>
<h1>9 UCLA (4.5)</h1>
<h1>11 Cornell (4.4)</h1>
<h1>13 Penn (4.3)</h1>
<h1>15 Duke (4.1)</h1>
<h1>17 Northwestern (4.0)</h1>
<p>NA/ Caltech
N/A MIT
NA/ UCSD</p>
<p>MATHEMATICS:</p>
<h1>1 MIT (5.0)</h1>
<h1>2 Princeton (4.9)</h1>
<h1>6 Chicago (4.8)</h1>
<h1>7 Yale (4.7)</h1>
<h1>8 Caltech (4.6)</h1>
<h1>8 Michigan (4.6)</h1>
<h1>10 Cornell (4.4)</h1>
<h1>10 UCLA (4.4)</h1>
<h1>13 Columbia (4.3)</h1>
<h1>16 Penn (4.1)</h1>
<h1>21 Northwestern (4.0)</h1>
<h1>21 UCSD (4.0)</h1>
<h1>25 Duke (3.9)</h1>
<h1>26 Johns Hopkins (3.8)</h1>
<p>PHYSICS:</p>
<h1>1 Caltech (5.0)</h1>
<h1>1 MIT (5.0)</h1>
<h1>3 Princeton (4.9)</h1>
<h1>7 Chicago (4.6)</h1>
<h1>7 Cornell (4.6)</h1>
<h1>10 Columbia (4.3)</h1>
<h1>12 Yale (4.2)</h1>
<h1>13 Michigan (4.1)</h1>
<h1>16 UCLA (4.0)</h1>
<h1>16 UCSD (4.0)</h1>
<h1>20 Johns Hopkins (3.9)</h1>
<h1>20 Penn (3.9)</h1>
<h1>28 Northwestern (3.5)</h1>
<h1>32 Duke (3.4)</h1>
<p>POLITICAL SCIENCE:</p>
<h1>3 Michigan (4.8)</h1>
<h1>4 Princeton (4.7)</h1>
<h1>5 Yale (4.6)</h1>
<h1>7 UCSD (4.4)</h1>
<h1>8 Chicago (4.3)</h1>
<h1>8 Duke (4.3)</h1>
<h1>10 Columbia (4.2)</h1>
<h1>10 MIT (4.2)</h1>
<h1>10 UCLA (4.2)</h1>
<h1>18 Cornell (3.8)</h1>
<h1>21 Northwestern (3.6)</h1>
<p>N/A Caltech
N/A Johns Hopkins
N/A Penn</p>
<p>PSYCHOLOGY:</p>
<h1>2 Michigan (4.6)</h1>
<h1>4 Yale (4.5)</h1>
<h1>5 Princeton (4.4)</h1>
<h1>5 UCLA (4.4)</h1>
<h1>12 MIT (4.1)</h1>
<h1>16 Columbia (4.0)</h1>
<h1>16 Cornell (4.0)</h1>
<h1>16 UCSD (4.0)</h1>
<h1>16 Penn (4.0)</h1>
<h1>22 Johns Hopkins (3.9)</h1>
<h1>22 Northwestern (3.9)</h1>
<h1>28 Chicago (3.9)</h1>
<h1>28 Duke (3.8</h1>
<p>N/A Caltech</p>
<p>SOCIOLOGY:</p>
<h1>3 Michigan (4.7)</h1>
<h1>4 Chicago (4.6)</h1>
<h1>6 Princeton (4.5)</h1>
<h1>8 UCLA (4.4)</h1>
<h1>10 Penn (4.2)</h1>
<h1>11 Columbia (4.1)</h1>
<h1>11 Northwestern (4.1)</h1>
<h1>14 Cornell (3.9)</h1>
<h1>14 Duke (3.9)</h1>
<h1>20 Yale (3.7)</h1>
<h1>22 Johns Hopkins (3.6)</h1>
<p>N/A Caltech
N/A MIT
N/A UCSD</p>
<p>As you can see, in terms of raw academic power, Michigan is very well rounded and very tough to edge out, especially in the Social Sciences.</p>