Intermediate Statistics

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Intermediate Statistics release 20.63

FULL VERSION
CONTENTS

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
- Snedecor's F-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 Variance
    - Two - Sided Confidence Interval for a Variance when the Mean is Known
    - One - Sided Confidence Interval for a Variance when the Mean is Known
    - Two - Sided Confidence Interval for a Variance when the Mean is Unknown
    - One - Sided Confidence Interval for a Variance when the Mean is Unknown
  - Confidence Intervals for a Ratio of Variances
    - Two - Sided Confidence Interval for a Ratio of Variances
    - One - Sided Confidence Interval for a Ratio of Variances
  - 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 Variance
  - Two-Tailed Test for a Variance when the Mean Is Known
  - One-Tailed Test for a Variance when the Mean Is Known
  - Two-Tailed Test for a Variance when the Mean Is Unknown
  - One-Tailed Test for a Variance when the Mean Is Unknown
- Tests for an Equality of Two Variances
  - Two-Tailed Test for an Equality of Two Variances
  - One-Tailed Test for an Equality of Two Variances
- 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
Analysis of Variance (ANOVA)
- One - Way Analysis of Variance
  - The One - Way Analysis of Variance Technique
  - The Hypothesis Test in One - Way ANOVA
- Two - Way Analysis of Variance
  - The Two - Way Analysis of Variance Technique
  - The Hypothesis Tests in Two – Way ANOVA