Free Videos, Calculators, Articles, Instructions, Datasets, etc.

**NOTE: This LibGuide links to many external sources and will be updated as more resources are identified. Please report any broken links to zmoore@fairmontstate.edu.**

**OPEN SOURCE TEXTBOOKS**

- Introductory Statistics (by Openstax)
- An Introduction to Psychological Statistics
- Cote, Linda R.; Gordon, Rupa; Randell, Chrislyn E.; Schmitt, Judy; and Marvin, Helena, "Introduction to Statistics in the Psychological Sciences" (2021).
*Open Educational Resources Collection*. 25.

- Cote, Linda R.; Gordon, Rupa; Randell, Chrislyn E.; Schmitt, Judy; and Marvin, Helena, "Introduction to Statistics in the Psychological Sciences" (2021).

The boxes on this page contain links to videos from Hawkes publishing.

- The first box contains video links aligning with the OpenStax Statistics textbook used in PSYC 2240 and SOCY 2240.
- The second box contains video links to math tutorials to review the types of math used in basic behavioral statistics.
- The final box contains variations of the Hawkes resources for more extensive statistics and mathematics instruction.

- Examples
- 1.4: Classifying Data as Qualitative or Quantitative
- 1.5: Classifying Data as Continuous or Discrete
- 1.6: Understanding the Nominal Level of Measurement
- 1.7: Classifying Data as Nominal or Ordinal
- 1.8: Classifying Data by the Level of Measurement
- 1.9: Classifying Data by the Level of Measurement
- 1.10: Classifying Data

- Examples
- 1.17: Considering the Variables

- Examples
- 2b.1: Calculating the Sample Mean
- 2b.2: Using the Mean to Find a Data Value
- 2b.3: Calculating a Weighted Mean
- 2b.4: Calculating a Weighted Mean
- 2b.5: Finding the Median
- 2b.6: Finding the Mode
- 2b.7: Calculating Measures of Center—Mean, Median, and Mode
- 2b.8: Choosing the Most Appropriate Measure of Center
- 2b.9: Determining Mean, Median, and Mode from a Graph

- Examples
- 2b.20: Finding Data Values Given the Percentiles
- 2b.21: Finding the Percentile of a Given Data Value
- 2b.22: Finding the Quartiles of a Given Data Set
- 2b.23: Finding the Quartiles of a Given Data Set
- 2b.24: Writing the Five-Number Summary of a Given Data Set
- 2b.25: Creating a Box Plot
- 2b.26: Interpreting Box Plots
- 2b.27: Calculating a Standard Score
- 2b.28: Comparing Standard Scores

- Examples
- 3.1: Identifying Outcomes in a Sample Space or Event
- 3.2: Using a Pattern to List All Outcomes in a Sample Space
- 3.3: Using a Tree Diagram to List All Outcomes in a Sample Space
- 3.4: Identifying Types of Probability
- 3.5: Calculating Classical Probability
- 3.6: Calculating Classical Probability
- 3.7: Calculating Classical Probability
- 3.8: Calculating Classical Probability

- Examples
- 3.9: Describing the Complement of an Event
- 3.10: Using the Complement Rule for Probability
- 3.11: Using the Complement Rule for Probability
- 3.12: Using the Addition Rule for Probability
- 3.13: Using the Addition Rule for Probability
- 3.14: Using the Addition Rule for Probability
- 3.15: Using the Addition Rule for Probability of Mutually Exclusive Events
- 3.16: Using the Extended Addition Rule for Probability of Mutually Exclusive Events

- Examples
- 3.17: Using the Multiplication Rule for Probability of Independent Events
- 3.18: Using the Extended Multiplication Rule for Probability of Independent Events
- 3.19: Calculating Probability of Dependent Events
- 3.20: Calculating Conditional Probability
- 3.21: Using the Multiplication Rule for Probability of Dependent Events
- 3.22: Using the Multiplication Rule for Probability of Dependent Events
- 3.23: Using the Rule for Conditional Probability
- 3.24: Using the Fundamental Counting Principle
- 3.25: Using the Fundamental Counting Principle (Without Replacement)
- 3.26: Using the Fundamental Counting Principle to Calculate Probability

- Examples
- 3.27: Calculating Factorial Expressions
- 3.28: Calculating Numbers of Combinations and Permutations by Hand and by Using Formulas
- 3.29: Calculating the Number of Permutations
- 3.30: Calculating the Number of Combinations
- 3.31: Calculating Probability Using Permutations
- 3.32: Calculating Probability Using Combinations
- 3.33: Calculating the Number of Special Permutations

- Examples
- 4.11: Calculating a Poisson Probability Using the Formula
- 4.12: Calculating a Poisson Probability Using the Formula or a TI-83/84 Plus Calculator
- 4.13: Calculating a Poisson Probability Using the Formula or a TI-83/84 Plus Calculator
- 4.14: Calculating Poisson Probabilities Using the Formula or a TI-83/84 Plus Calculator
- 4.17: Finding a Poisson Probability Using a Table

- Examples
- 5.2: Finding Area to the Left of a Positive z-value Using a Cumulative Normal Table
- 5.3: Finding Area to the Left of a Negative z-value Using a Table or a TI-83/84 Plus Calculator
- 5.4: Finding Area to the Right of a Positive z-value Using a Cumulative Normal Table
- 5.5: Finding Area to the Right of a Negative z-value Using a Table or a TI-83/84 Plus Calculator
- 5.6: Finding Area between Two z-values Using Tables or a TI-83/84 Plus Calculator
- 5.10: Interpreting Probability for the Standard Normal Distribution as an Area under the Curve

- Examples
- 5.12: Finding the Probability that a Normally Distributed Random Variable Will Be Less Than a Given Value
- 5.13: Finding the Probability that a Normal Distributed Random Variable Will Be Greater Than a Given Value
- 5.14: Finding the Probability that a Normally Distributed Random Variable Will Be between> Two Given Values
- 5.15: Finding the Probability that a Normally Distributed Random Variable Will Be in the Tails Defined by Two Given Values
- 5.16: Finding the Probability that a Normally Distributed Random Variable Will Differ from the Mean by More Than a Given Value

- Examples
- 6.1: Finding the z-value with a Given Area to Its Left
- 6.2: Finding the z-value with a Given Area to Its Left
- 6.3: Finding the z-value That Represents a Given Percentile
- 6.4: Finding the z-value with a Given Area to Its Right
- 6.5: Finding the z-value with a Given Area between −z and z
- 6.6: Finding the z-value with a Given Area in the Tails to the Left of −z and to the Right of z
- 6.7: Finding the Value of a Normally Distributed Random Variable with a Given Area to Its Right

- Examples
- 6.8: Using the Continuity Correction Factor with a Normal Distribution to Approximate a Binomial Probability
- 6.9: Using the Continuity Correction Factor with a Normal Distribution to Approximate a Binomial Probability
- 6.10: Using a Normal Distribution to Approximate a Binomial Probability of the Form
`P`(`X`>`x`) - 6.11: Using a Normal Distribution to Approximate a Binomial Probability of the Form
`P`(`X`≤`x`) - 6.12: Using a Normal Distribution to Approximate a Binomial Probability of the Form
`P`(`X`=`x`)

- Examples
- 7.4: Finding the Probability that a Sample Mean Will Be Less Than a Given Value
- 7.5: Finding the Probability that a Sample Mean Will Be Greater Than a Given Value
- 7.6: Finding the Probability that a Sample Mean Will Differ from the Population Mean by Less Than a Given Amount
- 7.7: Finding the Probability that a Sample Mean Will Differ from the Population Mean by More Than a Given Amount

- Examples
- 7.8: Finding the Probability that a Sample Proportion Will Be At Least a Given Value
- 7.9: Finding the Probability that a Sample Proportion Will Be No More Than a Given Value
- 7.10: Finding the Probability that a Sample Proportion Will Differ from the Population Proportion by Less Than a Given Amount
- 7.11: Finding the Probability that a Sample Proportion Will Differ from the Population Proportion by More Than a Given Amount

- Examples
- 8.1: Finding a Point Estimate for a Population Mean
- 8.2: Constructing a Confidence Interval with a Given Margin of Error
- 8.3: Finding the Margin of Error of a Confidence Interval for a Population Mean (
`σ`Known) - 8.4: Constructing a Confidence Interval for a Population Mean (
`σ`Known) - 8.5: Constructing a Confidence Interval for a Population Mean (
`σ`Known) - 8.7: Interpreting a Confidence Interval
- 8.8: Finding the Minimum Sample Size Needed for a Confidence Interval for a Population Mean

- Examples
- 8.9: Finding the Value of
`t`_{α} - 8.10: Finding the Value of
`t`Given the Area to the Right - 8.11: Finding the Value of
`t`Given the Area to the Left - 8.12: Finding the Value of
`t`Given the Area in Two Tails - 8.13: Finding the Value of
`t`Given Area between −`t`and`t` - 8.14: Finding the Critical
`t`-value for a Confidence Interval

- Examples
- 8.19: Finding a Point Estimate for a Population Proportion
- 8.20: Constructing a Confidence Interval for a Population Proportion
- 8.22: Finding the Minimum Sample Size Needed for a Confidence Interval for a Population Proportion
- 8.23: Finding the Minimum Sample Size, Point Estimate, and Confidence Interval for a Population Proportion

- Examples
- 8.24: Finding Point Estimates for the Population Standard Deviation and Variance
- 8.25: Constructing a Confidence Interval for a Population Variance
- 8.26: Constructing a Confidence Interval for a Population Standard Deviation
- 8.27: Constructing a Confidence Interval for a Population Variance
- 8.28: Constructing a Confidence Interval for a Population Standard Deviation
- 8.29: Finding the Minimum Sample Size Needed for a Confidence Interval for a Population Standard Deviation

- Examples
- 8b.4: Finding the Margin of Error of a Confidence Interval for the Difference between Two Population Means (
`σ`Unknown, Unequal Variances) - 8b.5: Constructing a Confidence Interval for the Difference between Two Population Means (
`σ`Unknown, Unequal Variances) - 8b.6: Constructing a Confidence Interval for the Difference between Two Population Means (
`σ`Unknown, Equal Variances)

- Examples
- 9.1: Determining the Null and Alternative Hypotheses
- 9.2: Determining the Null and Alternative Hypotheses
- 9.3: Determining the Null and Alternative Hypotheses
- 9.4: Determining the Null and Alternative Hypotheses
- 9.5: Interpreting the Conclusion to a Hypothesis Test
- 9.6: Interpreting the Conclusion to a Hypothesis Test
- 9.7: Determining the Type of Error
- 9.8: Determining the Type of Error
- 9.9: Determining the Type of Error

- Examples
- 9.10: Using a Rejection Region in a Hypothesis Test for a Population Mean (Right-Tailed,
`σ`Known) - 9.11: Calculating the
`p`-Value for a`z`-test Statistic for a Left-Tailed Test - 9.12: Calculating the
`p`-Value for a`z`-test Statistic for a Right-Tailed Test - 9.13: Calculating the
`p`-Value for a`z`-test Statistic for a Two-Tailed Test - 9.15: Determining the Conclusion to a Hypothesis Test Using the
`p`-Value - 9.16: Performing a Hypothesis Test for a Population Mean (Right-Tailed,
`σ`Known) - 9.17: Performing a Hypothesis Test for a Population Mean (Two-Tailed,
`σ`Known)

- Examples
- 10.1: Determining the Null and Alternative Hypotheses for a Left-Tailed Test
- 10.2: Determining the Null and Alternative Hypotheses for a Right-Tailed Test
- 10.3: Determining the Null and Alternative Hypotheses for a Two-Tailed Test
- 10.4: Determining the Null and Alternative Hypotheses
- 10.5: Performing a Hypothesis Test for Two Population Means (Right-Tailed,
`σ`Known) - 10.6: Performing a Hypothesis Test for Two Population Means (Two-Tailed,
`σ`Known) - 10.7: Performing a Hypothesis Test for Two Population Means (Right-Tailed,
`σ`Known)

- Examples
- Example 11.2.1
- Example 11.2.2

- Examples
- Example 11.3.1

- Examples
- 12.1: Creating a Scatter Plot to Identify Trends in Data
- 12.2: Creating a Scatter Plot to Identify Trends in Data
- 12.3: Determining Whether a Scatter Plot Would Have a Positive Slope, Negative Slope, or Not Follow a Straight-Line Pattern
- 12.6: Using a Table of Critical Values to Determine Significance of a Linear Relationship
- 12.9: Calculating and Interpreting the Coefficient of Determination

- Examples
- Example 13.1.1

- Examples
- 1: Finding the Opposite of an Integer
- 2: Graphing Integers on a Number Line
- 3: Identifying Types of Numbers
- 4: Comparing Numbers
- 5: Finding Absolute Values
- 6: Verifying Absolute Value Inequalities
- 7: Solving Absolute Value Equations
- 8: Solving Absolute Value Equations
- 9: Solving Absolute Value Equations

- Examples
- 1: Understanding Fractions
- 2: Understanding Fractions
- 3: Understanding Proper Fractions
- 4: Understanding Improper Fractions
- 5: Evaluating Fractions Involving 0
- 6: Identifying Types of Fractions and Mixed Numbers
- 7: Understanding Mixed Numbers
- 8: Understanding Mixed Numbers
- 9: Changing Mixed Numbers to Improper Fractions
- 10: Changing Improper Fractions to Mixed Numbers
- 11: Changing Improper Fractions to Mixed Numbers

- Examples
- 1: Changing Decimal Numbers to Fractions
- 2: Changing Decimal Numbers to Fractions
- 3: Changing Decimal Numbers to Fractions
- 4: Changing Fractions to Decimal Numbers
- 5: Changing Fractions to Decimal Numbers
- 6: Changing Fractions to Decimal Numbers
- 7: Changing Fractions to Decimal Numbers
- 8: Simplifying Expressions with Decimals and Fractions
- 9: Comparing Decimal Numbers and Fractions
- 10: Decimal and Fraction Expressions

- Examples
- 1: Adding Fractions with the Same Denominator
- 2: Finding the Least Common Denominator (LCD)
- 3: Adding Fractions with Different Denominators
- 4: Adding Fractions with Different Denominators
- 5: Adding Three Fractions with Different Denominators
- 6: Adding Fractions
- 7: Adding Fractions
- 8: Subtracting Fractions with the Same Denominator
- 9: Subtracting Fractions with Different Denominators
- 10: Subtracting Fractions with Different Denominators
- 11: Subtracting Fractions with Different Denominators
- 12: Subtracting Fractions with Different Denominators

- Examples
- 1: Using the Order of Operations with Real Numbers
- 2: Using the Order of Operations with Real Numbers
- 3: Using the Order of Operations with Real Numbers
- 4: Using the Order of Operations with Real Numbers
- 6: Using the Order of Operations with Real Numbers
- 7: Using the Order of Operations with Real Numbers

- Examples
- 1: Finding the Slope of a Line
- 2: Finding the Slope of a Line
- 3: Finding the Slope of a Horizontal Line
- 4: Finding the Slope of a Vertical Line
- 5: Using Slope and the
`y`‑Intercept to Graph a Line - 6: Using Slope and the
`y`-Intercept to Graph a Line - 7: Finding Equations Given the Slope and the
`y`‑Intercept

- Examples
- 1: Writing Ratios
- 2: Writing Ratios that Compare Mixed Numbers
- 3: Writing Ratios that Compare Decimal Numbers
- 4: Writing Ratios from Graphs
- 5: Writing Ratios in Geometry
- 6: Writing Ratios that Compare Measurements
- 7: Writing a Rate
- 8: Batting Average
- 9: Writing a Unit Rate
- 10: Writing a Unit Rate
- 11: Writing a Unit Rate
- 12: Comparing Unit Prices
- 13: Comparing Unit Prices
- 14: Verifying Proportions
- 16: Solving Proportions
- 17: Solving Proportions
- 18: Solving Proportions
- 19: Solving Proportions
- 21: Solving Proportions
- 22: Solving Proportions
- 23: Solving Proportions
- 26: Solving Proportions Written in Medical Notation