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Unit I - Descriptive Statistics
Unit II - Probability
Descriptive and Inferential Statistics
Sampling Methods
Types of Variables
Independent and Dependent Variables
Variable Measurement Scales
Frequency Distributions and Cumulative Frequency Distributions
Bar Graphs and Pie Charts
Histograms and Stem & Leaf Plots
Arithmetic Mean for Samples and Populations
Central Tendency: Mean, Median, and Mode
Variance and Standard Deviation of a Population
Variance and Standard Deviation of a Sample
Percentiles and Quartiles
The Five Number Summary, Interquartile Range(IQR), and Boxplots
The Effects of Outliers
Skewness
The Normal Curve and Empirical Rule
Z-Scores (part one)
Z-Scores (part two)
Extra Z-Score Problems
The Basics of Probability
Addition Rule (Probability “or”)
Multiplication Rule (Probability “and”)
Permutations
Combinations
Discrete and Continuous Random Variables
Discrete Probability Distributions
Probability Histograms
Mean and Expected Value of Discrete Random Variables
Variance and Standard Deviation of Discrete Random Variables
The Law of Large Numbers
Binomial Distribution
Mean and Standard Deviation of Binomial Random Variables
Poisson Distribution/Process
Mean and Standard Deviation of Poisson Random Variables
Unit III - Correlation & Regression
Unit IV - Inferential Statistics
Coordinate (Cartesian) Planes
Quadrants
Scatter Plots
Pearson’s r Correlation
Hypothesis Testing with Pearson's r
The Spearman Correlation
Linear Regression
Correlation vs. Causation
Parameters, Statistics, and Sampling Error
Distribution of the Sample Mean
The Central Limit Theorem
Sample Proportions
Confidence Intervals about the Mean, Population Standard Deviation Known
Calculating Required Sample Size to Estimate Population Mean
Student’s t-Distribution
Confidence Intervals about the Mean, Population Standard Deviation Unknown
Confidence Intervals for Population Proportions
Calculating Required Sample Size to Estimate Population Proportions
Null and Alternative Hypotheses
Type I and Type II Errors
One-Tailed and Two-Tailed Tests
Effect Size
Power
Statistical vs. Practical Significance
Independent and Dependent Samples
One Sample z-Test
One Sample z-Test for Proportions
One Sample t-Test
Independent Samples t-Test
Confidence Intervals for Independent Samples t-Test
Effect Size for Independent Samples t-Test
t-test, Two Dependent Samples
Confidence Intervals for Dependent Samples t-Test
Effect Size for Dependent Samples t-Test
z-Test for Proportions, Two Samples
Confidence Intervals for the Difference of Two Proportions
Introduction to ANOVA
One-Way ANOVA
Effect Size for One-Way ANOVA
Post Hoc Tests for One-Way ANOVA
Repeated-Measures ANOVA
Factorial ANOVA, Two Independent Factors
Factorial ANOVA, Two Dependent Factors
Factorial ANOVA, Two Mixed Factors
Chi-Square Goodness-of-Fit Test
Chi-Square Test for Independence
Mann-Whitney U
Wilcoxon Signed-Ranks Test
Kruskal-Wallis Test
Friedman Test
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