Tagged: reference
← All topicsArticles tagged with reference in Stats and Cats.
- Two-Sample Tests
Confidence intervals and hypothesis tests comparing two means, two proportions, paired data, and two variances.
- t Distribution Table
Critical values of the t distribution for common significance levels and degrees of freedom 1–120.
- Standard Normal (Z) Table
Cumulative probabilities P(Z ≤ z) for the standard normal distribution, z from 0.0 to 3.4.
- ANOVA
One-way and two-way analysis of variance: sum of squares, mean squares, and F-statistics.
- Confidence Intervals
One-sample confidence intervals for means, proportions, and variance, plus sample size formulas.
- Hypothesis Testing (One Sample)
Test statistics and decision rules for one-sample z, t, and chi-square hypothesis tests.
- Greek Letters
Greek alphabet with uppercase and lowercase forms and their conventional uses in statistics.
- Normal Distribution
Standardization, the Central Limit Theorem, and sampling distributions of the mean.
- Probability
Probability rules, counting methods, and discrete distributions including binomial and Poisson.
- Regression and Correlation
Pearson correlation, least-squares regression, inference for regression coefficients, and chi-square tests.
- Chi-Square Table
Critical values of the chi-square distribution for upper and lower tail probabilities, degrees of freedom 1–30.
- F Distribution Table
Critical values of the F distribution at α = 0.05 and α = 0.01, for numerator df 1–10 and common denominator df.
- Confidence Intervals for Proportions
Normal approximation (Wald) and Wilson score intervals for a population proportion, with conditions, sample size formulas, and when the approximation breaks down.
- Descriptive Statistics
Formulas for central tendency, variability, z-scores, and outlier detection.
- Sample Size Calculation
How to calculate required sample size for a two-sample t-test and a chi-square test, given a target effect size, significance level, and power.
- Nonparametric Tests
Formulas and decision rules for Mann-Whitney U, Wilcoxon signed-rank, Kruskal-Wallis, and Spearman rank correlation: the nonparametric alternatives to common parametric tests.
- Post-Hoc Tests
Tukey's HSD, Bonferroni correction, and Scheffé's method for identifying which group pairs differ after a significant ANOVA.
- Chi-Square Tests
Formulas, degrees of freedom, and assumptions for the chi-square test for independence and the chi-square goodness-of-fit test, with worked examples.
- Multiple Regression
The multiple linear regression model, coefficient interpretation, R-squared and adjusted R-squared, the F-test, multicollinearity, and the VIF.
- Choosing a Statistical Test
A structured decision guide for selecting the right statistical test. Covers one-sample, two-sample, multi-group, and association tests for parametric and nonparametric situations.
