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Introductory Statistics release 20.63
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FULL VERSION
CONTENTS
- Descriptive Statistics
- Graphical Data Representation
- Measures of Location
- Mean
- Median
- Mode
- Quartiles
- Measures of Spread
- Interquartile Range
- Range
- Variance and Standard Deviation
- Discrete Random Variables
- Univariate Case
- Probability Mass Function
- Cumulative Distribution Function
- Expected Value
- Variance and Standard Deviation
- Moments
- Bivariate Case
- Joint Probability Mass Function
- Joint Cumulative Distribution Function
- Marginal Probability Distributions
- Conditional Probability Distribution
- Independent Random Variables
- Covariance and Correlation Coefficient
- Discrete Distributions
- Uniform Distribution
- Binomial Distribution
- Poisson Distribution
- Continuous Distributions
- Uniform Distribution
- Exponential Distribution
- Normal Distribution
- Distributions Related to the Normal
- Chi-Square distribution
- Student's t-distribution
- Properties of the Sample Mean and Variance
- Parameter Estimation
- Point Estimations
- Confidence Intervals
- Confidence Intervals for a Mean
- Two - Sided Confidence Interval for a Mean when the Variance is Known
- One - Sided Confidence Interval for a Mean when the Variance is Known
- Two - Sided Confidence Interval for a Mean when the Variance is Unknown
- One - Sided Confidence Interval for a Mean when the Variance is Unknown
- Confidence Intervals for a Difference of Two Means
- Two - Sided Confidence Interval for a Difference of Means when Variances Are Known
- One - Sided Confidence Interval for a Difference of Means when Variances Are Known
- Two-Sided Confidence Interval for a Difference of Means when Variances Are Equal but Unknown
- One-Sided Confidence Interval for a Difference of Means when Variances Are Equal but Unknown
- Confidence Intervals for a Proportion
- Two-Sided Confidence Interval for a Proportion: Large Sample
- One-Sided Confidence Interval for a Proportion: Large Sample
- Determining the Size of the Sample
- Confidence Intervals for a Difference of Two Proportions
- Two-Sided Confidence Interval for a Difference of Proportions
- One-Sided Confidence Interval for a Difference of Proportions
- Hypothesis Testing
- General Principles
- Tests for a Mean
- Two-Tailed Test for a Mean when the Variance Is Known
- One-Tailed Test for a Mean when the Variance Is Known
- Two-Tailed Test for a Mean when the Variance Is Unknown
- One-Tailed Test for a Mean when the Variance Is Unknown
- Tests for a Difference of Two Means
- Two-Tailed Test for a Difference of Means when Variances Are Equal but Unknown
- One-Tailed Test for a Difference of Means when Variances Are Equal but Unknown
- Two-Tailed Test for a Difference of Means when Variances are Known
- One-Tailed Test for a Difference of Means when Variances are Known
- Tests for a Proportion
- Two-Tailed Test for a Proportion: Large Sample
- One-Tailed Test for a Proportion: Large Sample
- Tests for a Difference of Two Proportions
- Two-Tailed Test for a Difference of Proportions: Large Sample
- One-Tailed Test for a Difference of Proportions: Large Sample
- Linear Regression
- The Method of Least Squares
- The Simple Linear Regression Model
- Estimating Parameters of a Simple Linear Regression Model
- Estimating the Slope and Y-intercept of a Simple Linear Regression Model
- Estimating the Variance of the Random Error Components
- Confidence Interval for the Y-intercept of a Linear Regression
- Confidence Interval for the Slope of a Linear Regression
- Testing the Slope for Model Usefulness
- Estimating the Mean Value of Y for a Given Value of X
- Predicting One y-Value for a Given Value of x
- The Coefficient of Determination
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DEMO VERSION
selected lessons from the FULL VERSION
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FULL VERSION
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