This page lists all of the basic statistics tutorials available on Statology.

**Introduction to Statistics**

**Descriptive vs. Inferential Statistics
Population vs. Sample
Statistic vs. Parameter
Qualitative vs. Quantitative Variables
Levels of Measurement: Nominal, Ordinal, Interval and Ratio
**

**Describing Data**

**Measures of Central Tendency
Measures of Dispersion
SOCS: A Helpful Acronym for Describing Distributions
**

**Visualizing Data**

**Boxplots
Stem and Leaf Plots
Scatterplots
Relative Frequency Histogram
Density Curves
**

**Probability**

**Theoretical Probability
Posterior Probability
How to Interpret Odds Ratios
Law of Large Numbers
Set Operations
The General Multiplication Rule
**

**Study Design**

**Explanatory & Response Variables
Sampling Methods
What is a Representative Sample?
What is a Sampling Frame?
Matched Pairs Design
Pretest-Posttest Design
Split-Plot Design
Permuted Block Randomization
Latin Hypercube Sampling
**

**Random Variables**

**What Are Random Variables?
CDF vs. PDF: What’s the Difference?
The Normal Distribution
The Binomial Distribution
The Poisson Distribution
The Geometric Distribution
The Hypergeometric Distribution
The Negative Binomial Distribution
The Multinomial Distribution
**

**Sampling Distributions**

**What is a Sampling Distribution?
Central Limit Theorem
**

**Confidence Intervals**

**What are Confidence Intervals?
Confidence Interval for a Mean
Confidence Interval for the Difference Between Means
Confidence Interval for a Proportion
Confidence Interval for the Difference in Proportions
Confidence Interval for a Standard Deviation
Confidence Interval for a Correlation Coefficient
**

**Hypothesis Testing**

**Introduction to Hypothesis Testing
One Sample t-test
Two Sample t-test
Welch’s t-test
Mann-Whitney U Test
Paired Samples t-test
Wilcoxon Signed Rank Test
One Proportion Z-Test
Two Proportion Z-Test
**

**P-values and Effect Size**

**How to Interpret a P-Value of 0.000
How to Calculate a P-Value from a t Test By Hand
Three Ways to Find a P-Value from a t Statistic
An Explanation of P-Values and Statistical Significance
A Simple Explanation of Statistical vs. Practical Significance
How to Find Z Alpha/2 (za/2)
Effect Size
Bayes Factor
**

**Chi-Square Tests**

**Chi-Square Goodness of Fit Test
Chi-Square Test of Independence
Fisher’s Exact Test
Effect Size for a Chi-Square Test
**

**Regression**

**Introduction to Simple Linear Regression
How to Perform Simple Linear Regression by Hand
Introduction to Multiple Linear Regression
How to Perform Multiple Linear Regression by Hand
Testing the Significance of a Regression Slope
How to Read and Interpret a Regression Table
How to Interpret Regression Coefficients
The F-Test of Overall Significance in Regression
Understanding the Standard Error of the Regression
How to Calculate Residuals in Regression Analysis
Heteroscedasticity in Regression
Multicollinearity in Regression
The Breusch-Pagan Test
**

**ANOVA**

**One-Way ANOVA
One-Way ANOVA by Hand
Two-Way ANOVA
Repeated Measures ANOVA
Repeated Measures ANOVA By Hand
ANOVA Post Hoc Tests
Dunnett’s Test for Multiple Comparisons
Dunn’s Test for Multiple Comparisons
ANCOVA
Kruskal-Wallis Test
Friedman Test**