<p>According to SSATB, one's SSAT scores are a good predictor of his/her future SAT scores. This is probably based on its own survey and statistical analysis. So I did a quickie of my own to see if such a prediction model is any good and, more importantly, to find those schools that were able to help their students more than predicted, and more than peer schools.</p>
<p>To this end, I turned to boardingschoolreview.com, where you can find average SSAT and SAT scores for individual schools. Out of 321 schools, 57 schools showed both SSAT and SAT scores. Indeed, there was a correlation, a strong one (r=0.8) , between SSAT and SAT scores. (Pardon my language. Here, 'r' denotes correlation coefficient based on Spearman analysis. r=0 means no correlations, and r=1 means perfect correlations. There was less than 1 in > 1 trillion of chance that this happened by accident.) Then, I did what else might be correlated with SAT scores, and found none came close. Not class size, not % of teachers with advanced degrees, not # of AP classes, not teacher:students ratio,... and you can guess the rest. One thing that came close (r=0.57) was endowment size.</p>
<p>From this analysis, I derived an equation to quantify and compare how much improvement (or reverse) schools helped their students with SAT scores beyond what's predicted. And I grouped them by their average SSAT percentiles before comparison, because given everything being equal, it is a lot more difficult to improve 5 percentile from 90 percentile than from 50 percentile. Now, here are the results:</p>
<p>85-94 percentile group
Boarding School | Avg. SSAT percentile | Avg. SAT score | Expected SAT | Observed/Expected SAT
* Middlesex School | 88 | 2080 | 2000 | 1.04
* Groton School | 90 | 2080 | 2016 | 1.03
* Phillips Exeter | 94 | 2097 | 2046 | 1.02
* Milton Academy | 90 | 2065 | 2016 | 1.02
* Choate Rosemary Hall | 85 | 2018 | 1977 | 1.02
* Phillips Academy | 94 | 2076 | 2046 | 1.01
* The Hotchkiss School | 87 | 2013 | 1992 | 1.01
* Deerfield Academy | 87 | 2000 | 1992 | 1
* St. Paul's School | 89 | 2014 | 2008 | 1
* Indian Springs | 85 | 1970 | 1977 | 1
* Georgetown Preparatory | 90 | 1975 | 2016 | 0.98
* St. Andrew's School, | 85 | 1928 | 1977 | 0.98
* The Thacher School | 90 | 1962 | 2016 | 0.97
* Woodside Priory School | 85 | 1844 | 1977 | 0.93</p>
<p>75-84 percentile group
Boarding School | Avg. SSAT percentile | Avg. SAT score | Expected SAT | Observed/Expected SAT
* Linden Hall | 78 | 2095 | 1923 | 1.09
* Lawrenceville School | 84 | 2095 | 1969 | 1.06
* Concord Academy | 84 | 2050 | 1969 | 1.04
* Cate School | 83 | 2027 | 1962 | 1.03
* The Loomis Chaffee | 79 | 1935 | 1931 | 1
* St. George's School | 81 | 1920 | 1946 | 0.99
* St. Mark's School | 84 | 1940 | 1969 | 0.99
* The Taft School | 84 | 1928 | 1969 | 0.98
* Blair Academy | 75 | 1840 | 1900 | 0.97
* Hill School | 79 | 1855 | 1931 | 0.96
* Verde Valley School | 80 | 1700 | 1938 | 0.88</p>
<p>65-74 percentile group
Boarding School | Avg. SSAT percentile | Avg. SAT score | Expected SAT | Observed/Expected SAT
* Emma Willard School | 66 | 1950 | 1830 | 1.07
* Cranbrook Schools | 68 | 1939 | 1846 | 1.05
* Westminster School | 70 | 1926 | 1861 | 1.03
* Miss Porter's School | 70 | 1920 | 1861 | 1.03
* Stevenson School | 67 | 1866 | 1838 | 1.02
* Holderness School | 65 | 1800 | 1823 | 0.99
* Portsmouth Abbey | 72 | 1807 | 1877 | 0.96
* Lawrence Academy | 65 | 1732 | 1823 | 0.95
* The Ethel Walker | 65 | 1675 | 1823 | 0.92
* Colorado Rocky Mountain | 73 | 1701 | 1884 | 0.9
* Hawai'i Preparatory | 65 | 1628 | 1823 | 0.89</p>
<p>55-64 percentile group
Boarding School | Avg. SSAT percentile | Avg. SAT score | Expected SAT | Observed/Expected SAT
* Suffield Academy | 55 | 1910 | 1746 | 1.09
* Dana Hall School | 58 | 1885 | 1769 | 1.07
* Canterbury School | 55 | 1820 | 1746 | 1.04
* Asheville School | 60 | 1860 | 1784 | 1.04
* The Bolles School | 56 | 1800 | 1753 | 1.03
* Garrison Forest | 55 | 1790 | 1746 | 1.03
* Saint Andrew's | 60 | 1820 | 1784 | 1.02
* Westover School | 61 | 1827 | 1792 | 1.02
* The Williston Northampton | 57 | 1790 | 1761 | 1.02
* Pomfret School | 62 | 1786 | 1800 | 0.99
* Avon Old Farms | 60 | 1705 | 1784 | 0.96</p>
<p>45-54 percentile group
Boarding School | Avg. SSAT percentile | Avg. SAT score | Expected SAT | Observed/Expected SAT
* St. Anne's-Belfield | 50 | 1827 | 1707 | 1.07
* Salisbury School | 54 | 1810 | 1738 | 1.04
* Ridley College | 50 | 1750 | 1707 | 1.03
* Rabun Gap-Nacoochee | 45 | 1691 | 1669 | 1.01
* Trinity-Pawling | 50 | 1710 | 1707 | 1
* The Gunnery | 50 | 1680 | 1707 | 0.98
* Church Farm School | 50 | 1670 | 1707 | 0.98
* Proctor Academy | 54 | 1660 | 1738 | 0.96
* Vermont Academy | 50 | 1550 | 1707 | 0.91
* Brewster Academy | 54 | 1548 | 1738 | 0.89</p>
<p>Schools are sorted based on the ratio of observed or actual SAT scores over expected scores, and the higher the ratio, the more improvement in SAT scores. Now, just like SSAT, we all understand a higher SAT score does not guarantee the "better" colleges. (You define "better" here.) And for many boarding schools, higher SAT scores might not be one of their goals. But lower SAT scores can limit one's college choices. So no lecturing is necessary how significant or insignificant SAT scores in college application. </p>
<p>Having done this analysis, beside those top ranked elite schools with super statistics, two schools stand out from the rest. One is Linden Hall and another is Suffield Academy. I wish I could show the chart that I'm seeing, but they just stand out by merely looking at the chart. Both shows 9% improvement in SAT scores than predicted, which is 164 and 172 and which I believe is very significant improvement. (Disclaimer: I hadn't known anything about these schools until I finished this analysis.)</p>