Chi-Squared Test
Let the probabilities of various classes in a distribution be 
, 
,..., 
. The expected frequency
is a measure of the deviation of a sample from expectation. Karl Pearson provedthat the limitingdistribution of
is 
(Kenney and Keeping 1951, pp. 114-116). |  |  | |
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where
is Pearson's Function. There are some subtleties involved in using the test to fit curves(Kenney and Keeping 1951, pp. 118-119).When fitting a one-parameter solution using , the best-fit parameter value can be found by calculating atthree points, plotting against the parameter values of these points, then finding the minimum of a Parabola fit throughthe points (Cuzzi 1972, pp. 162-168).
References
Cuzzi, J. The Subsurface Nature of Mercury and Mars from Thermal Microwave Emission. Ph.D. Thesis. Pasadena, CA: California Institute of Technology, 1972. Kenney, J. F. and Keeping, E. S. Mathematics of Statistics, Pt. 2, 2nd ed. Princeton, NJ: Van Nostrand, 1951.
- Boatman's Knot
- Bochner Identity
- Bochner's Theorem
- Bode's Rule
- Bogdanov Map
- Bogomolov-Miyaoka-Yau Inequality
- Bohemian Dome
- Bohr-Favard Inequalities
- Bolyai-Gerwein Theorem
- Bolzano Theorem
- Bolzano-Weierstraß Theorem
- Bolza Problem
- Bombieri Inner Product
- Bombieri Norm
- Bombieri's Inequality
- Bombieri's Theorem
- Bond Percolation
- Bonferroni Correction
- Bonferroni's Inequality
- Bonferroni Test
- Bonne Projection
- Book Stacking Problem
- Boolean Algebra
- Boolean Connective
- Boolean Function