Linguistic Relativity Hypothesis

H = TRIPLESTEST(X) performs the non-parametric triples test for symmetry (skewness) of the null hypothesis that the data in X comes from a symmetrical distribution with an unknown median. The test involves the examination of subsets of three variables from X (triples) to determine the likelihood...

Other hypothesis used with the Mauchly's sphericity test is on the orthonormalized contrasts,H0: Cd-deOaoSC = s^2I , where C is any full-rank (p-1) x p matrix of orthonormal contrasts.A is the nonorthonormalized contrasts matrix.C = GMO(Ad-deOao) is a (p-1) doOCo p column-orthonormal matrix (by...

Anderson and Darling (1952, 1954) introduced a goodness-of-fit statistic to test the hypothesis that a random sample comes from a continuous population with a specified distribution function. It is a modification of the Kolmogorov-Smirnov (K-S) test and gives more weight to the tails than the K-S...


Platforms: Matlab

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...


Platforms: Matlab

Grubb's outlier test can be used to remove one outlier (see deleteoutliers.m by Brett Schoelson). If you decide to remove this outlier, you might be tempted to run Grubbs' test again to see if there is a second outlier in your data. However, if you do this, you cannot use the same rejection...


Platforms: Matlab

Single Sample Kupier Goodness-Of-Fit Hypothesis Test. Similar to Kolmogorov-Smirnov (K-S) test, but (K-S) test tend to be most sensitive around median value of the distribution and less sensitive at the distribution tails.Doesn't require any Toolbox.Find if the random sample X could have the...


Platforms: Matlab

This file performs the Stuart-Maxwell's test for all the marginal homogeneity (i.e. across all the categories simultaneously) for each of the two sample times (nominal samples). Obviously, it need a square KxK table.It is a non-parametric statistical test. The test was proposed by Stuart (1955),...


Platforms: Matlab

This m-file performs the Cochran's Q test for multi-way tables which each variable has two levels, that is, for 2x2...x2 tables. It is used to test the homogeneity of the one-dimensional margins. So, Cochran's Q test is a nonparametric test examining change in a dichotomous variable across more...


Platforms: Matlab

CHI2RAYLTEST: Single sample Pearson Chi Square goodness-of-fit statistical test to examine a null hypothesis of Rayleigh Channel.H=CHI2RAYLTEST(X,ALPHA) performs the particular case of Pearson Chi Squaretest to determine whether the null hypothesis of a Rayleigh channel realization is a...


Platforms: Matlab

This function deals with the univariate hypotheses test concerning skewness and kurtosis.It needs to input data vector, direction of tests (1 = one-tailed; 2 = two-tailed)[default = 2], and significance level (default = 0.05).Immediately it outputs, for an one-tailed hypothesis whether or not the...


Platforms: Matlab

Levene's F test is used to test the null hypothesis that multiple population variances corresponding to multiplesamples are equal. Prior to the analysis the data are transforming to the absolute deviation of the mean. Then perform an one-way analysis of variance.


Platforms: Matlab

GTEST: Single sample Geary goodness-of-fit hypothesis test.H=GTEST(X,ALPHA) performs the Geary test to determine whether the null hypothesis of composite normality PDF is a reasonable assumption regarding the population distribution of a random sample X with the desired significance level ALPHA.H...


Platforms: Matlab

Sample size required to achieve a specified test for difference between two variances, using the normal approximation. This estimate assumes equal or unequal sample sizes. File only needs the sample size vector, variance vector, hypothesis direction, desired sample size (equal or unequal), sizes...


Platforms: Matlab

The bootstrap is a way of estimating the variability of a statistic from a single data set by resampling it independently and with equal probabilities (Monte Carlo resampling). Allows the estimation of measures where the underlying distribution is unknown or where sample sizes are small. Their...


Platforms: Matlab

This was inspired by kstest2 from the matlab statistics toolbox.Works from medium to large sample sizes, look at the references in the code


Platforms: Matlab

This is a quick and dirty way to test the convexity of an input-output data set - i.e. whether or not there exists a convex function that may fit the data within a specified residual tolerance. It was written for the purposes of testing a local convexity assumption on a set of noisy data, for...


Platforms: Matlab

Permutation test of the null hypothesis that a set of data was sampled from a symmetric distribution with a particular mean. The test is based on a t-statistic and can be applied to situations in which a one sample or paired sample/repeated measures t-test is appropriate. Note, that this test is...


Platforms: Matlab

Executes the Benjamini & Hochberg (1995) procedure for controlling the false discovery rate (FDR) of a family of hypothesis tests. FDR is the expected proportion of rejected hypotheses that are mistakenly rejected (i.e., the null hypothesis is actually true for those tests). FDR is generally a...


Platforms: Matlab

The Anderson-Darling test (Anderson and Darling, 1952) is used to test if a sample of data comes from a specific distribution. It is a modification of the Kolmogorov-Smirnov (K-S) test and gives more weight to the tails than the K-S test. The K-S test is distribution free in the sense that the...


Platforms: Matlab

This is really a small hack that I wanted to share just to inspire more people to make interactive Matlab graphics. Use it as is or use the code as a template to do more advanced stuff.Here is how it works (for a 2-D patch):% First make the patch ... t = 0:2*pi/20:2*pi; X = 3 + sin(t); Y = 2 +...


Platforms: Matlab