Smirnov Cramer Von Mises Test 1.0

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Single sample Smirnov-Cramer-Von Mises goodness-of-fit hypothesis test.H = MTEST(X,ALPHA) performs the particular case of Smirnov-Cramer-Von Mises test to determine whether the null hypothesis of composite normality CDF is a reasonable assumption regarding the population distribution of a random sample X with the desired significance level ALPHA. The Smirnov-Cramer-Von Mises test is based on interpolation procedure, so the significance level is restricted to0.001 Reject the null hypothesis at significance level ALPHA. Let S(x) be the empirical c.d.f. estimated from the sample vector X,F(x) be the corresponding true normal population c.d.f., and CDF be anormal c.d.f. with zero mean and unit standard deviation. The Smirnov-Cramer-Von Mises hypotheses and test statistic in this particular case are:Null Hypothesis: F(x) is normal with zero mean and unit variance.Alternative Hypothesis: F(x) is not normal with zero mean and unit variance.Test Statistic: W^2 = integral from 0 to 1 of (S(x)-F(x))^2 dF(x)The decision to reject the null hypothesis is taken when the test statistic exceeds the critical value.X must be a row vector representing a random sample. ALPHA must be a scalar.The function doesn't check the formats of X and ALPHA, as well as a number of the input and output parameters.The asymptotic limit of the Smirnov-Cramer-Von Mises is reached whenLENGTH(X)>=3.References:W. T. Eadie, D. Drijard, F. E. James, M Roos and B. Sadoulet, "Statistical Methodsin Experimental Physics", North-Holland, Sec. Reprint, 1982.

Requirements: No special requirements

Platforms: Matlab

Keyword: Check, Critical, Decision, Doesn, Exceeds, Function, Representing, Scalar

Users rating: 0/10

License: Shareware

Size: 10 KB

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