Research-Based and Data-Driven
23% Math ISAT Gains

Note: These results just in after 60 hours of math tutoring in the 2008-2009 Chess Academy Reading and Math Tutoring Program with a sample group of 75 students at one of the Chess Academy Schools.
Average Reading Gain = 26%
Average Math Gain = 24%
Sample Size = 75 Students
See analysis below:
Grade Rdg Pre Math Pre Rdg Post Math Post Rdg Gain Main Gain 1 5 0 20 19 15 19 1 0 0 43 31 43 31 1 9 25 80 97 71 72 1 5 0 89 86 84 86 1 9 0 39 28 30 28 1 11 11 41 47 30 36 1 0 0 80 56 80 56 1 0 0 64 100 64 100 2 0 0 77 61 77 61 2 45 14 75 83 30 69 2 9 11 41 56 32 45 2 7 8 80 72 73 64 2 25 25 34 53 9 28 2 2 8 73 78 71 70 2 50 25 36 69 -14 44 2 25 22 59 58 34 36 2 0 0 23 28 23 28 2 34 28 39 64 5 36 3 14 22 68 75 54 53 3 18 28 27 19 9 -9 3 11 22 61 36 50 14 3 52 19 43 61 -9 42 3 9 8 30 17 21 9 3 5 17 32 33 27 16 3 59 47 64 53 5 6 3 25 39 59 72 34 33 3 16 11 48 31 32 20 3 20 19 43 44 23 25 3 11 19 41 31 30 12 3 18 28 55 81 37 53 3 9 19 36 42 27 23 3 9 28 64 67 55 39 3 16 33 30 28 14 -5 3 16 25 36 64 20 39 3 18 33 27 53 9 20 3 32 14 45 33 13 19 3 25 53 61 86 36 33 3 16 17 34 58 18 41 4 0 6 36 44 36 38 4 11 33 50 47 39 14 4 14 44 34 31 20 -13 4 23 36 25 31 2 -5 4 7 39 52 50 45 11 4 41 33 32 36 -9 3 4 23 47 34 44 11 -3 4 34 31 59 42 25 11 4 5 22 20 36 15 14 4 18 6 32 53 14 47 4 55 58 64 72 9 14 4 20 72 84 72 64 0 4 20 47 39 36 19 -11 4 20 44 64 61 44 17 4 14 22 36 42 22 20 5 82 44 73 56 -9 12 5 23 17 48 25 25 8 5 32 69 36 69 4 0 5 30 28 36 36 6 8 5 0 22 34 33 34 11 5 9 17 34 33 25 16 5 70 36 66 67 -4 31 5 0 28 43 36 43 8 5 73 28 75 61 2 33 6 20 28 25 25 5 -3 6 11 17 32 56 21 39 6 23 42 16 42 -7 0 6 23 22 57 50 34 28 6 41 14 48 67 7 53 7 27 28 45 22 18 -6 7 41 33 48 31 7 -2 7 66 56 77 69 11 13 8 52 64 66 67 14 3 8 61 44 61 42 0 -2 8 80 44 89 42 9 -2 8 34 28 64 44 30 16 8 32 28 77 50 45 22 Reading Data
t-Test: Two-Sample Assuming Unequal Variances
5 20 Mean
23.85135135
49.83783784
Variance
416.2378749
343.1788227
Observations
74
74
Hypothesized Mean Difference
0
df
145
t Stat
-8.111914293
P(T<=t) one-tail
9.64044E-14
t Critical one-tail
1.655430424
P(T<=t) two-tail
1.92809E-13
t Critical two-tail
1.976459316
Math Data
t-Test: Two-Sample Assuming Unequal Variances
0 19 Mean
26.41891892
50.95945946
Variance
279.8358016
364.8065531
Observations
74
74
Hypothesized Mean Difference
0
df
144
t Stat
-8.314584783
P(T<=t) one-tail
3.15367E-14
t Critical one-tail
1.655503183
P(T<=t) two-tail
6.30733E-14
t Critical two-tail
1.976577551
Rdg Pre Math Pre Rdg Post Math Post Rdg Gain Main Gain Mean 23.6 Mean 26.06666667 Mean 49.44 Mean 50.53333333 Mean 25.84 Mean 24.46666667 Standard Error 2.35329939 Standard Error 1.950590886 Standard Error 2.161517652 Standard Error 2.231577904 Standard Error 2.611343239 Standard Error 2.737614753 Median 18 Median 25 Median 45 Median 50 Median 23 Median 20 Mode 0 Mode 28 Mode 36 Mode 31 Mode 30 Mode 28 Standard Deviation 20.38017054 Standard Deviation 16.8926126 Standard Deviation 18.71929197 Standard Deviation 19.32603155 Standard Deviation 22.61489583 Standard Deviation 23.70843922 Sample Variance 415.3513514 Sample Variance 285.3603604 Sample Variance 350.4118919 Sample Variance 373.4954955 Sample Variance 511.4335135 Sample Variance 562.0900901 Kurtosis 0.800165198 Kurtosis 0.138238151 Kurtosis -0.916406708 Kurtosis -0.455363245 Kurtosis 0.154883041 Kurtosis 0.600533547 Skewness 1.166017842 Skewness 0.522522884 Skewness 0.369935605 Skewness 0.413367932 Skewness 0.711374116 Skewness 0.837140168 Range 82 Range 72 Range 73 Range 83 Range 98 Range 113 Minimum 0 Minimum 0 Minimum 16 Minimum 17 Minimum -14 Minimum -13 Maximum 82 Maximum 72 Maximum 89 Maximum 100 Maximum 84 Maximum 100 Sum 1770 Sum 1955 Sum 3708 Sum 3790 Sum 1938 Sum 1835 Count 75 Count 75 Count 75 Count 75 Count 75 Count 75