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The Basics: Descriptive and Inferential Statistics
2
Sampling Methods
3
Types of Variables
4
Independent and Dependent Variables
5
Variable Measurement Scales
6
Frequency Distributions and Cumulative Frequency Distributions
7
Bar Graphs and Pie Charts
8
Histograms and Stem & Leaf Plots
9
Arithmetic Mean for Samples and Populations
10
Central Tendency: Mean, Median, and Mode
11
Variance and Standard Deviation of a Population
12
Variance and Standard Deviation of a Sample
13
Percentiles and Quartiles
14
The Five Number Summary, Interquartile Range(IQR), and Boxplots
15
The Effects of Outliers
16
Skewness
17
The Normal Curve and Empirical Rule
18
Z-Scores (part one)
19
Z-Scores (part two)
20
Extra Z-Score Problems
21
The Basics of Probability
22
Addition Rule (Probability "or")
23
Multiplication Rule (Probability "and")
24
Permutations
25
Combinations
26
Discrete and Continuous Random Variables
27
Discrete Probability Distributions
28
Probability Histograms
29
Mean and Expected Value of Discrete Random Variables
30
Variance and Standard Deviation of Discrete Random Variables
31
The Law of Large Numbers
32
Binomial Distribution
33
Mean and Standard Deviation of Binomial Random Variables
34
Poisson Distribution/Process
35
Mean and Standard Deviation of Poisson Random Variables
36
Coordinate (Cartesian) Planes
37
Quadrants
38
Scatter Plots
39
Pearson's r Correlation
40
Hypothesis Testing with Pearson's r
41
Spearman Correlation
42
Linear Regression
43
Correlation vs. Causation
44
Parameters, Statistics, and Sampling Error
45
Distribution of the Sample Mean
46
The Central Limit Theorem
47
Sample Proportions
48
Confidence Intervals about the Mean, Population Standard Deviation Known
49
Calculating Required Sample Size to Estimate Population Mean
50
Student's t-Distribution
51
Confidence Intervals about the Mean, Population Standard Deviation Unknown
52
Confidence Intervals for Population Proportions
53
Null and Alternative Hypotheses
54
Type I and Type II Errors
55
One-Tailed and Two-Tailed Tests
56
Effect Size
57
Power
58
Statistical vs. Practical Significance
59
Independent and Dependent Samples
60
One Sample z-Test
61
One Sample z-Test for Proportions
62
One Sample t-Test
63
Independent Samples t-Test
64
Confidence Intervals for Independent Samples t-Test
65
Effect Size for Independent Samples t-Test
66
Dependent Samples t-Test
67
Confidence Intervals for Dependent Samples t-Test
68
Effect Size for Dependent Samples t-Test
69
z-Test for Proportions, Two Samples
70
Confidence Intervals for the Difference of Two Proportions
71
Introduction to ANOVA
72
One-Way ANOVA
73
Effect Size for One-Way ANOVA
74
Post-Hoc Tests for One-Way ANOVA
75
Repeated-Measures ANOVA
76
Factorial ANOVA, Two Independent Factors
77
Factorial ANOVA, Two Dependent Factors
78
Factorial ANOVA, Two Mixed Factors
79
Chi-Square Test for Goodness of Fit
80
Chi-Square Test for Independence
81
Mann-Whitney U-Test
82
Wilcoxon Signed-Ranks Test
83
The Kruskal-Wallis Test
84
The Friedman Test
85
Calculating Required Sample Size to Estimate Population Proportions
86
User Submitted Question: Alpha Levels
Description:
Dive into a comprehensive 5-hour course covering fundamental and advanced statistical concepts. Learn about descriptive and inferential statistics, sampling methods, variable types and measurement scales, data visualization techniques, measures of central tendency and dispersion, probability theory, discrete and continuous probability distributions, correlation and regression analysis, hypothesis testing, confidence intervals, various statistical tests including t-tests, ANOVA, and non-parametric tests, and much more. Gain practical skills in data analysis, interpretation, and decision-making through a wide range of topics from basic probability to complex statistical procedures.

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The Basics: Descriptive and Inferential Statistics