# Psychology and Statistics 56

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Hi everyone!

This collection is every equation, calculator, and dataset I created while working on the vCalc Project for St. Mary's College of Maryland. I worked primarily on the psychology and statistics aspect, which will be helpful for researchers and students alike to better understand inferential statistics and use the correct tests. Almost every inferential and descriptive statistic test you could possibly want is included in this collection, from correlations to parametric and non-parametric tests. It also includes a calculator that combines all of those statistics tests into one comprehensive, easy-to-use tool. The collection additionally holds several non-statistics-related psychology equations, including Weber's Fraction, Ricco's Law, and Bayes' Theorem, the latter of which I have applied in a couple of contexts. Bayes' Theorem for Disease Testing describes the risk to one person of having a rare disease, given that the test for it returned positive. Some equations in this collection may not be completely finished, so feel free to duplicate anything and try your hand at computer programming. Happy calculating!

Cheers,
Caroline Robertson

## Equations

• Descriptive Statistics (n=6)
• Choosing a Relationship Test
• Choosing a Parametric Test
• Choosing a Non-Parametric Test
• Descriptive Statistics (n=7)
• Spearman's rho correlation
• Paired Samples t-tests
• Wilcoxon signed rank test
• Descriptive Statistics (n=8)
• Chi-square goodness-of-fit test (C=3)
• z-score equation (find z)
• Mann-Whitney U test
• Descriptive Statistics (n=9)
• Pearson correlation (n=6)
• Single-Sample t-test
• Friedman two-way Analysis of Variance (ANOVA)
• Descriptive Statistics (n=10)
• Multiple regression (n=6)
• Kruskal-Wallis one-way Analysis of Variance (ANOVA)
• Descriptive Statistics (n=11)
• Regression Line (n=6)
• One-way Analysis of Variance (ANOVA) - 3 Groups
• Chi-square test for independence
• Descriptive Statistics (n=12)
• Comparing SAT and ACT Scores
• Factorial Analysis of Variance (ANOVA) - 2x2, n=24
• Expected Frequency (for chi-squared)
• Repeated-measures Analysis of Variance (ANOVA) - 3 Groups
• Inverse-Square Law
• Effect Size (r-squared)
• Rescorla-Wagner Formula (alpha and beta version)
• One-way Analysis of Variance (ANOVA) - 4 Groups
• Bayes' Theorem for Disease Testing
• Effect Size (Cohen's d)
• Stevens' Power Law
• Bayes' Theorem for Event Probability
• Ricco's Law (K variable)
• Rescorla-Wagner Formula (k version)
• Paired Samples t-test (n=6)
• z-score equation (find x)
• Weber Fraction
• Weber-Fechner's Law