Bayesian Independence Testing

Objective We describe the Bayesian approach to determining whether the two variables defined by a contingency table are independent. This is the Bayesian equivalence to the chi-square test of independence or Fisher’s exact test. See also Bayesian Hypothesis Testing. Terminology We assume that we have an m × n contingency table X = [xij] and … Read More

Real Statistics Release 9.1

I am pleased to announce Release 9.1 of the Real Statistics Resource Pack. The new release is now available for free download at Download Resource Pack for Excel 2010, 2013, 2016, 2019, 2021, and 365 Windows and Mac environments.  I want to thank everyone who has made suggestions or has identified errors in the website … Read More

Real Statistics Release 8.7

I am pleased to announce Release 8.7 of the Real Statistics Resource Pack. The new release is now available for free download at Download Resource Pack for Excel 2010, 2013, 2016, 2019, 2021, and 365 in both Windows and Mac environments. The primary focus of this release is the addition of new non-parametric tests. . The … Read More

Somers’ d Measure of Asymmetric Association

Basic Concepts Somers’ d statistic is a measure of (asymmetric) association. d takes values between -1 and 1. A value of 1 or -1 means that the independent variable perfectly predicts the dependent variable: +1 when the relationship is positive and -1 when the relationship is negative. A value of 0 means that there is … Read More

Lambda Coefficient

Basic Concepts The lambda coefficient is a measure of (asymmetric) association that reflects the proportional reduction in error (PRE) when values of the independent variable are used to predict values of the dependent variable. Lambda takes values between 0 and 1. A value of 1 means that the independent variable perfectly predicts the dependent variable. … Read More

Gamma Measure of Association

Basic Concepts Goodman and Kruskal’s gamma statistic is a measure of (symmetric) association between two ordinal variables. Gamma takes values between -1 and 1. A value of 1 or -1 means that the variables have a perfect association: +1 when the relationship is positive and -1 when the relationship is negative. A value of 0 … Read More

Real Statistics Release 8.3

I am pleased to announce Release 8.3 of the Real Statistics Resource Pack. The new release is now available for free download at Download Resource Pack for Excel 2010, 2013, 2016, 2019, 2021, and 365 in both Windows and Mac environments. The Real Statistics website will be modified in the next few days to explain the … Read More

Real Statistics Release 8.1.6

Announcing a minor bug-fix release of the Real Statistics software, Rel 8.1.6.  This release is now available for free download for both Windows and Mac environments. This release corrects the following bugs: The AdjRes and AdjResTest functions previously produced an error value when the number of rows in the contingency table was not equal to … Read More

Real Statistics Non-Parametric Test Functions

The following is a summary of worksheet functions provided in the Real Statistics Resource Pack that support non-parametric tests.  These functions are organized into the following categories: Chi-square tests Other non-parametric tests Other non-parametric tests (array functions) Runs tests Power and sample size for non-parametric tests Kolmogorov-Smirnov and Lilliefors functions Anderson-Darling test Other Goodness-of-Fit tests … Read More

Correlation and Reliability Functions

The following is a summary of the correlation and reliability functions worksheet functions provided in the Real Statistics Resource Pack. These functions are organized into the following categories: Covariance and Correlation Association Interrater Reliability Internal Consistency Reliability Partitioning Bradley-Terry Model Testing Theory (Item Analysis and Item Response) Statistical Power Sample Size Covariance and Correlation COVARP(R1, … Read More