Hypothesis

CHI2TEST: Single sample Pearson Chi Square goodness-of-fit hypothesis test.H=CHI2TEST(X,ALPHA) performs the particular case of Pearson Chi Square test to determine whether the null hypothesis of composite normality PDF is a reasonable assumption regarding the population distribution of a random...

Shapiro-Wilk parametric hypothesis test of composite normality, for sample size 3

Calculate tedious and difficult Statistics and Discrete Mathematics formulas accurately, quickly, and with ease! Combinatorics (permutations and combinations, etc.), probabilities, expected values, confidence intervals, data analysis, hypothesis testing and more. Statistics Pro does more...


Platforms: Windows, Mac

Let us assume the following MIMO model:Y(k)=HX(k)+Y(k)This file can detect the number of sources, i.e the size of the vector X(k) from the received signal Y(k). The noise is assumed spatially white and the number of receivers must be strictly greater than the number of sources. For more details...


Platforms: Matlab

GRANGER_CAUSE is a Granger Causality Test. The null hypothesis is that the y does not Granger Cause x. A user specifies the two series, x and y, along with the significance level and the maximum number of lags to be considered. The function chooses the optimal lag length for x and y based on the...


Platforms: Matlab

Comparison of two survival curves can be done using a statistical hypothesis test called the log rank test. It is used to test the null hypothesis that there is no difference between the population survival curves (i.e. the probability of an event occurring at any time point is the same for each...


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 simple function tests the null hypothesis that two variables are equally linearly correlated with a third variable when all three sets of observations were derived from the same "individuals" (i.e., a repeated measures/paired observations design). The test uses a t-distribution and was taken...


Platforms: Matlab

H = COCHRANQTEST(X) performs the non-parametric Cochran's Q-test on the hypothesis that the K columns of N-by-K matrix have the same number of successes and failures. H==0 indicates that the null hypothesis cannot be rejected at the 5 significance level. H==1 indicates that the null hypothesis...


Platforms: Matlab

Performs the nonparametric squared ranks test on quality of variance for two samples. Based on Conover (1981), 'Practical Nonparametric Statistics', pp. 239-248.Uses normal approximation for for m >10 (MATLAB fxn norminv or table if norminv unavailable). Uses normal approximation if ties exist....


Platforms: Matlab

In statistics, sequential analysis or sequential hypothesis testing is statistical analysis where the sample size is not fixed in advance. Instead data is evaluated as it is collected, and further sampling is stopped in accordance with a pre-defined stopping rule as soon as significant results...


Platforms: Matlab

Besides the power estimation it makes the hypothesis testing concerning the one-sample variance. The function only needs the sample variance, the sample size, the hypothesized value and the significance level.


Platforms: Matlab

Estimates the power and the hypothesis testing for difference between two variances. The one or two-tailed hypothesis is submitted to the variance ratio test, that automatically it places the larger variance in the numerator and the smaller in the denominator. File asks for the statistical...


Platforms: Matlab

This code implements a new method for quantile inference based on theoretical work found here: http://econ.ucsd.edu/~dkaplan/personalResearch.htmlExtensive simulations (Section 6 of paper has some examples) have shown it to control size better than bootstrap ("BS") methods and the analytic Hall...


Platforms: Matlab

Compares probabilities of two binomial samples X, Y from a Bernoully experiments with probability p1 for set X and p2 for set YTest the null hypothesis H_0: p1 = p2 vs alternatives H_1: p1 > p2 H_2: p1 < p2 H_3: p1 != p2 Input: X - row of 0 or 1 Y - row of 0 or 1 Output: z - normal statistics...


Platforms: Matlab

As you know, the Student t-test can be used only to compare two groups. When you have k groups you can't use a t-test for each couple because, if you have fixed alpha=0.05 for each t-test, there is a probability of k*0.05 to find a difference when it isn't (Bonferroni inequality).The Holm-Sidak...


Platforms: Matlab

This function provides a Wilcoxon-type test for trend across a group of three or more independent random samples.Assumptions:- Data must be at least ordinal- Groups must be selected in a meaningful order i.e. orderedIf you do not choose to enter your own group scores then scores are allocated...


Platforms: Matlab

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...


Platforms: Matlab

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...


Platforms: Matlab

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