Specialized Statistics Templates

This is a template for doing a 2x2 contingency table just by entering in the counts into the cells n11, n12, n21, and n22. No need to enter 1's and 0's for everything or use the Replicate command.

Cronbach's Alpha is a statistic that measures the reliability of tests, observations, experiments or measurements by estimating the extent to which the tests, observations, experiments or measurements provide the same results on repeated trials. Cronbach's Alpha is a value between 0 and 1. Values near 0 indicate low reliabilty. Values near 1 indicate high reliability. (See Cronbach, 1951 and Carmines and Zeller, 1979).

Computes the Durbin-Watson statistic for serial correlation.

Exponentially-weighted moving average (Ewma) solved using iteration. Given scalar 'alpha' (between 0 and 1) and vector 'X', this template solves for L, such that:

   L(t) = (alpha*X) + (1-alpha)*L(t-1)
   L(1) = X(1)
 

It solves this by looping through all the cases and appending the results.

Exponentially-weighted moving average (Ewma) solved using iteration. Given scalar 'alpha' (between 0 and 1) and vector 'X', this template solves for L, such that:

   L(t) = (alpha*X) + (1-alpha)*L(t-1)
   L(1) = X(1)
 

It uses iteration if alpha is closer to 1.

This template performs the standard F-test for equality of population variances. Given a sample s1 of size n from population p1 and another sample s2 of size m from population p2, the ratio (svar1/svar2)/(popvar1/popvar2) has an F distribution.

This template computes the sample standard deviations and then compares their ratio to an appropriate F distribution (specifically one with n-1 and m-1 degrees of freedom, respectively). It then reports the p-value of obtaining a result as extreme or more extreme than the result obtained given that the chosen null hypothesis is true.

Use this template to compute a Fourier Transform of any size real data sequence.

Use this template to perform the popular Kolmogorov Test for normality on a sample.

Use this template to perform the nonparametric Kruskal Wallis test.

The Levene Test tests for nonconstant variance across groups.This template computes, for each measured value, the absolute value of the difference between the measured value and the group median.

The Mantel-Haenszel template computes the Mantel-Haenszel statistic and the corresponding Chi-Square based p-value with one degree of freedom. The MH test is used for combining several 2x2 contingency tables to obtain one test statistic and one p-value. For example, the MH test is often used to combine several clinical trial results together into one larger test.

For the technical folks, the user has control over the correction factor and the variance component and thus can obtain results based on Mantel and Haenszel (1959), Cochran (1954) or Grizzle (1967).

Use this template to perform Vertical Calculations for datasets of any size.

This is another version of the previous template dealing with Vertical Calculations.

Specialized Plots
Templates primarily concerned with displaying data.

Specialized Statistics
Templates that perform specialized computations.

Advanced Analyses
Templates that perform whole analyses, usually involving both statistics and plots.

Teaching/Illustration
Templates and simulations whose primary purpose is educational in nature.

Quick Pick
A list of template names only, designed for quick access to specific templates.

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