Basic Concepts The Mood’s Median Test, essentially a two-sample version of the Sign Test, is used to determine whether the medians of two independent samples are equal (the null hypothesis). To perform this test, you need to execute the following steps: Calculate the median m of the combination of the two samples. Create a 2 × 2 … Read More
Basic Concepts The power of the goodness of fit or chi-square independence test is given by where F is the cumulative distribution function (cdf) for the noncentral chi-square distribution χ2(df), xcrit is the χ2(df) critical value for the given value of α and λ = w2n = χ2 is the noncentrality parameter where w is the φ effect … Read More
The following is a summary of all the multivariate functions provided in the Real Statistics Resource Pack. These functions are organized into the following categories: Multivariate normal distribution Mahalanobis Distance and Outliers Hotelling T2 One-way MANOVA Two-way MANOVA Permutational MANOVA Box’s Test Extraction Factor Analysis Multivariate Regression PLS Regression Cluster Analysis Jenks Natural Breaks Discriminant … Read More
Today, I have published release 1.4 of the Real Statistics Resource Pack. This release is backwards compatible with the previous releases, but also includes some new functions and bug fixes. The release is the one that is available on the Free Download page, and includes the following features: 1. Improved non-parametric functions: For the Mann-Whitney, Wilcoxon Rank-Sum … Read More
Abdi, H. (2009) The Greenhouse-Geisser correction. In Neil Salkind (Ed.), Encyclopedia of Research Design. Sage. Thousand Oaks, CA. http://www.utdallas.edu/~herve/abdi-GreenhouseGeisser2010-pretty.pdf Abdi, H. (2010) Coefficient of variation. Encyclopedia of Research Design. Sage. Thousand Oaks, CA https://www.utdallas.edu/~herve/abdi-cv2010-pretty.pdf Abdi, H. & Molin, P. (2007) Lilliefors/Van Soest’s test of normality. Encyclopedia of measurement and statistics. Neil Salkind (Ed.). Sage, Thousand … Read More
Although all the statistical analyses described on this website can be done with standard Excel capabilities, it is often easier to use the supplemental functions and data analysis tools provided in the Real Statistics Resource Pack. The functions provided in the Real Statistics Resource Pack are summarized in Real Statistics Functions. Here we briefly review … Read More
Basic Concepts In the non-comprehensive models at least one of the variables is not used. We show how to calculate the expected frequencies for one such model, namely (A, B). The degrees of freedom are abc – (a – 1) – (b – 1) –1 = abc – a – b + 1. Example Figure … Read More
Basic Concepts The homogeneous association model for (AB, BC, AC) consists of the saturated model with the λABC term dropped. It therefore has (a – 1)(b – 1)(c – 1) degrees of freedom. For Example 1 of Three-way Contingency Tables this is (2 – 1)(2 – 1)(3 – 1) = 2 degrees of freedom. For … Read More
Basic Concepts The model for (A, B, C) is ln y = λ + λA + λB + λC and has abc – [(a – 1) + (b – 1) + (c – 1) + 1] = abc – (a+b+c) + 2 degrees of freedom. For Example 1 of Three-way Contingency Tables the mutual independence … Read More
Basic Concepts There are three partial independence models (A, BC), (B, AC) and (C, AB). We’ll look at the first of these; the others are similar. The model for (A, BC) consists of the saturated model with the λAB, λAC and λABC terms dropped. It therefore has (a – 1)(b – 1) + (a – 1)(c – … Read More