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Applied Statistics

Kimberly Brehm via YouTube

Overview

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This course presents a standard introductory curriculum covering descriptive and inferential statistics. Topics progress from data classification, probability, and distributions to confidence intervals, hypothesis testing, correlation, and regression.

Syllabus

Statistics - 1.1 Intro to Statistics.
Statistics - 1.2 Classifying Data.
Statistics - 1.3.1 Introduction to Statistical Studies.
Statistics - 1.3.2 Observational Studies.
Statistics - 1.3.3 Experiments.
Statistics - 1.4 Critiquing a Published Study.
Statistics - 2.1 Frequency Distributions.
Statistics - 2.2.1 Displaying Qualitative Data.
Statistics - 2.2.2 Displaying Quantitative Data.
Statistics - 2.3 Analyzing Graphs.
Statistics - 3.1 Measures of Center.
Statistics - 3.2.1 Measures of Spread.
Statistics - 3.2.2 Empirical Rule and Chebyshev's Theorem.
Statistics - 3.3.1 Measures of Relative Position.
Statistics - 3.3.2 Box Plots and the 5-Number Summary.
Statistics - 3.3.3 Intro to Z-Scores.
Statistics - 4.1 Intro to Probability.
Statistics - 4.2 Addition Rule for Probability.
Statistics - 4.3 Multiplication Rule for Probability.
Statistics - 4.4 Permutations and Combinations.
Statistics - 4.5 Probability and Counting Practice.
Statistics - 5.1.1 Expected Value of Discrete Probability Distributions.
Statistics - 5.1.2 Variance and SD of Discrete Probability Distributions.
Statistics - 5.2 The Binomial Distribution.
Statistics - 5.3 The Poisson Distribution.
Statistics - 5.4.1 The Hypergeometric Distribution.
Statistics - 5.4.2 Binomial, Poisson or Hypergeometric?.
Statistics - 6.1 The Normal Distribution and Z-Scores.
Statistics - 6.2 Area Under a Normal Distribution.
Statistics - 6.3 Probabilities in a Normal Distribution.
Statistics - 6.4 Z-Scores in Reverse.
Statistics - 6.5 Approximating a Binomial Distribution With a Normal Distribution.
Statistics - 7.1 The Central Limit Theorem.
Statistics - 7.2 The Central Limit Theorem with Means.
Statistics - 7.3 The Central Limit Theorem with Proportions.
Statistics - 8.1.1 An Introduction to Confidence Intervals.
Statistics - 8.1.2 Estimating Population Means ( known).
Statistics - 8.1.3 Calculations With Estimating Population Means - known.
Statistics - 8.2 Student's t-Distribution.
Statistics - 8.3 Estimating Population Means ( Unknown).
Statistics - 8.4.1 Estimating Population Proportions.
Statistics - 8.4.2 Calculations With Estimating Population Proportions.
Statistics - 9.1 Comparing Two Population Means ( Known).
Statistics - 9.2.1 Comparing Two Population Means ( Unknown, Unequal Variances).
Statistics - 9.2.2 Comparing Two Population Means ( Unknown, Equal Variances).
Statistics - 9.3 Comparing Two Population Means ( Unknown, Dependent/Paired).
Statistics - 9.4 Comparing Two Population Proportions.
Statistics - 10.1.1 Introduction to Hypothesis Testing.
Statistics - 10.1.2 Writing Hypotheses.
Statistics - 10.1.3 Interpreting Conclusions to Hypothesis Tests.
Statistics - 10.1.4 Errors in Hypothesis Testing.
Statistics - 10.2.1 Hypothesis Testing for Population Means (σ known) - Right-Tailed.
Statistics - 10.2.2 Hypothesis Testing for Population Means (σ known) - Left-Tailed.
Statistics - 10.2.3 Hypothesis Testing for Population Means (σ known) - 2-Tailed.
Statistics - 10.3.1 Hypothesis Testing for Population Means (σ unknown) - 1-Tailed.
Statistics - 10.3.2 Hypothesis Testing for Population Means (σ unknown) - 2-Tailed.
Statistics - 10.4.1 Hypothesis Testing for Population Proportions - 1-Tailed.
Statistics - 10.4.2 Hypothesis Testing for Population Proportions - 2-Tailed.
Statistics - 11.1.1 Hypothesis Testing for 2 Sample Means (σ known) - 1-Tailed.
Statistics - 11.1.2 Hypothesis Testing for 2 Sample Means (σ known) - 2-Tailed.
Statistics - 11.2.1 Hypothesis Testing for 2 Sample Means (σ unknown) - Unequal Variances.
Statistics - 11.2.2 Hypothesis Testing for 2 Sample Means (σ unknown) - Equal Variances.
Statistics - 11.3 Hypothesis Testing for 2 Sample Means - Paired.
Statistics - 11.4 Hypothesis Testing for 2 Sample Proportions.
Statistics - 12.1.1 Scatter Plots and Correlation.
Statistics - 12.1.2 Determining Statistical Significance for the Pearson Correlation Coefficient.
Statistics - 12.2.1 The Least Squares Regression Line (LSRL).
Statistics - 12.2.2 Predicting With and Interpreting Values of the LSRL.
Statistics - 12.2.3 Creating and Analyzing a Linear Regression Model.
Statistics - 12.3.1 Prediction Intervals for Linear Regression.
Statistics - 12.3.2 Confidence Intervals for 0 and 1.
Statistics - 12.4 Multiple Regression.

Taught by

Kimberly Brehm

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