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STAT 300: My Introductory Statistics Textbook (Mirzaagha)

Statistics

Nhà xuất bản: LibreTexts
Nguồn: LibreTexts
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

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Mục lục· 191 mục

01: Basic Ideas
1.01: Videos
1.02: Introduction
1.2.01: A Classroom Story and an Inspiration
1.2.02: The Blind Man and the Elephant
1.2.03: What can go Wrong in Research Two Stories
1.03: Displaying and Analyzing Data with Graphs
1.3.01: Introduction and Examples
1.3.02: Types of Data
1.3.03: Levels of Data
1.3.04: Graphs of Categorical Data
1.3.05: Graphs of Numeric Data
1.3.5.01: Stem and Leaf Plots
1.3.5.02: Dot Plots
1.3.5.03: Grouping Numeric Data
1.3.5.04: Histograms
1.3.5.05: Cumulative Frequency and Relative Frequency
1.3.5.06: Using Ogives to find Percentiles
1.04: Introduction to Statistics
1.4.01: What are Statistics
1.4.02: Importance of Statistics
1.4.03: Descriptive Statistics
1.4.04: Inferential Statistics
1.4.05: Sampling Demonstration
1.4.06: Variables
1.4.07: Percentiles
1.4.08: Levels of Measurement
1.4.09: Measurements
1.4.10: Distributions
1.4.11: Summation Notation
1.4.12: Linear Transformations
1.4.13: Logarithms
1.4.14: Statistical Literacy
1.4.E: Introduction to Statistics (Exercises)
1.05: PowerPoints
02: Descriptive Statistics
2.01: Videos
2.02: Graphing Distributions
2.2.01: Graphing Qualitative Variables
2.2.02: Quantitative Variables
2.2.03: Stem and Leaf Displays
2.2.04: Histograms
2.2.05: Frequency Polygons
2.2.06: Box Plots
2.2.07: Box Plot Demo
2.2.08: Bar Charts
2.2.09: Line Graphs
2.2.10: Dot Plots
2.2.11: Statistical Literacy
2.2.E: Graphing Distributions (Exercises)
2.03: PowerPoints
03: Regression Analysis
3.01: Videos
3.02: Bivariate Data
3.2.01: Graphing Bivariate Data with Scatterplots
3.2.02: Correlation Coefficient
3.2.03: Correlation vs. Causation
3.03: Correlation and Linear Regression
3.3.01: Bivariate Data and Scatterplots Review
3.3.02: The Simple Linear Regression Model
3.3.03: Estimating the Regression Model with the LeastSquare Line
3.3.04: Hypothesis Test for Simple Linear Regression
3.3.05: Estimating ( sigma) the standard error of the residuals
3.3.06: ( r2) The Correlation of Determination
3.3.07: Prediction
3.3.08: Extrapolation
3.3.09: Residual Analysis
3.04: Linear Regression and Correlation
3.4.01: Prelude to Linear Regression and Correlation
3.4.02: Linear Equations
3.4.2E: Linear Equations (Exercises)
3.4.03: Scatter Plots
3.4.3E: Scatter Plots (Exercises)
3.05: PowerPoints
04: Fundamental Principle of Counting and Rules of Probability
4.01: Videos
4.02: Probability Topics
4.2.01: Introduction
4.2.02: Terminology
4.2.03: Independent and Mutually Exclusive Events
4.2.04: Two Basic Rules of Probability
4.2.05: Contingency Tables
4.2.06: Tree and Venn Diagrams
4.2.07: Probability Topics (Worksheet)
4.2.E: Probability Topics (Exericses)
4.03: PowerPoints
05: Discrete Probability
5.01: Videos
5.02: Probability
5.2.01: What is Probability
5.2.02: Types of Probability
5.2.03: How to Calculate Classical Probability
5.03: PowerPoints
06: Binomial Probability Distribution
6.01: Videos
6.02: Mean or Expected Value and Standard Deviation
6.03: PowerPoints
07: Continuous Random Variable and Normal Probability Distribution
7.01: Videos
7.02: Continuous Random Variable - Introduction
7.03: The Normal Distribution
7.3.01: Prelude to The Normal Distribution
7.3.02: The Standard Normal Distribution
7.3.2E: The Standard Normal Distribution (Exercises)
7.3.03: Using the Normal Distribution
7.04: The Central Limit Theorem
7.4.01: Prelude to the Central Limit Theorem
7.4.02: The Central Limit Theorem for Sums
7.05: PowerPoints
08: Finding Confidence Interval for Population Mean and Proportion
8.01: Inference for Numerical Data
8.1.01: One-Sample Means with the t Distribution
8.1.02: Paired Data
8.1.03: Difference of Two Means
8.1.04: Power Calculations for a Difference of Means (Special Topic)
8.1.05: Comparing many Means with ANOVA (Special Topic)
8.1.06: Exercises
8.02: Inference for Categorical Data
8.2.01: Inference for a Single Proportion
8.2.02: Difference of Two Proportions
8.2.03: Testing for Goodness of Fit using Chi-Square (Special Topic)
8.2.04: Testing for Independence in Two-Way Tables (Special Topic)
8.2.05: Small Sample Hypothesis Testing for a Proportion (Special Topic)
8.2.06: Randomization Test (Special Topic)
8.2.07: Exercises
8.03: Confidence Intervals
8.3.01: Prelude to Confidence Intervals
8.3.02: A Single Population Mean using the Normal Distribution
8.3.2E: A Single Population Mean using the Normal Distribution (Exercises)
8.3.03: A Single Population Mean using the Student t-Distribution
8.04: PowerPoints
09: Hypothesis Testing about Population Mean and Proportion
9.01: Inference for Numerical Data
9.1.01: One-Sample Means with the t Distribution
9.1.02: Paired Data
9.1.03: Difference of Two Means
9.1.04: Power Calculations for a Difference of Means (Special Topic)
9.1.05: Comparing many Means with ANOVA (Special Topic)
9.1.06: Exercises
9.02: Inference for Categorical Data
9.2.01: Inference for a Single Proportion
9.2.02: Difference of Two Proportions
9.2.03: Testing for Goodness of Fit using Chi-Square (Special Topic)
9.2.04: Testing for Independence in Two-Way Tables (Special Topic)
9.2.05: Small Sample Hypothesis Testing for a Proportion (Special Topic)
9.2.06: Randomization Test (Special Topic)
9.2.07: Exercises
9.03: Hypothesis Testing with One Sample
9.3.01: Prelude to Hypothesis Testing
9.3.02: Null and Alternative Hypotheses
9.3.2E: Null and Alternative Hypotheses (Exercises)
9.3.03: Outcomes and the Type I and Type II Errors
9.3.3E: Outcomes and the Type I and Type II Errors (Exercises)
9.3.04: Distribution Needed for Hypothesis Testing
9.3.4E: Distribution Needed for Hypothesis Testing (Exercises)
9.3.05: Rare Events the Sample Decision and Conclusion
9.3.5E: Rare Events the Sample Decision and Conclusion (Exercises)
9.3.06: Additional Information and Full Hypothesis Test Examples
9.3.07: Hypothesis Testing of a Single Mean and Single Proportion (Worksheet)
9.3.E: Hypothesis Testing with One Sample (Exercises)
9.04: PowerPoints
10: Hypothesis Testing about Two Population Means and Proportions
10.01: Inference for Categorical Data
10.1.01: Inference for a Single Proportion
10.1.02: Difference of Two Proportions
10.1.03: Testing for Goodness of Fit using Chi-Square (Special Topic)
10.1.04: Testing for Independence in Two-Way Tables (Special Topic)
10.1.05: Small Sample Hypothesis Testing for a Proportion (Special Topic)
10.1.06: Randomization Test (Special Topic)
10.1.07: Exercises
10.02: Hypothesis Testing with Two Samples
10.2.01: Two Population Means with Unknown Standard Deviations
10.2.02: Two Population Means with Known Standard Deviations
10.2.03: Comparing Two Independent Population Proportions
10.2.04: Matched or Paired Samples
10.03: PowerPoints
11: Hypothesis Testing about Goodness of Fit (Multinomial)
11.01: Inference for Categorical Data
11.1.01: Inference for a Single Proportion
11.1.02: Difference of Two Proportions
11.1.03: Testing for Goodness of Fit using Chi-Square (Special Topic)
11.1.04: Testing for Independence in Two-Way Tables (Special Topic)
11.1.05: Small Sample Hypothesis Testing for a Proportion (Special Topic)
11.1.06: Randomization Test (Special Topic)
11.1.07: Exercises
11.02: The Chi-Square Distribution
11.2.01: Facts About the Chi-Square Distribution
11.2.02: Goodness-of-Fit Test
11.2.03: Test of Independence
11.2.04: Test for Homogeneity
11.03: PowerPoints