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Statistics Topics
1
Introduction to Statistics
2
3
Descriptive vs. Inferential Statistics
4
Population vs. Sample
5
Statistic vs. Parameter
6
Qualitative vs. Quantitative Variables
7
Levels of Measurement: Nominal, Ordinal, Interval and Ratio
8
9
Describing Data
10
Measures of Central Tendency
11
Measures of Dispersion
12
SOCS: A Helpful Acronym for Describing Distributions
13
14
Visualizing Data
15
Boxplots
16
Stem and Leaf Plots
17
Scatterplots
18
Relative Frequency Histogram
19
Density Curves
20
21
Probability
22
Theoretical Probability
23
Posterior Probability
24
How to Interpret Odds Ratios
25
Law of Large Numbers
26
Set Operations
27
The General Multiplication Rule
28
29
Study Design
30
Explanatory & Response Variables
31
Sampling Methods
32
What is a Representative Sample?
33
What is a Sampling Frame?
34
Matched Pairs Design
35
Pretest-Posttest Design
36
Split-Plot Design
37
Permuted Block Randomization
38
Latin Hypercube Sampling
39
40
Random Variables
41
What Are Random Variables?
42
CDF vs. PDF: What’s the Difference?
43
The Normal Distribution
44
The Binomial Distribution
45
The Poisson Distribution
46
The Geometric Distribution
47
The Uniform Distribution
48
The Exponential Distribution
49
The Hypergeometric Distribution
50
The Negative Binomial Distribution
51
The Multinomial Distribution
52
53
Sampling Distributions
54
What is a Sampling Distribution?
55
Central Limit Theorem
56
57
Confidence Intervals
58
What are Confidence Intervals?
59
Confidence Interval for a Mean
60
Confidence Interval for the Difference Between Means
61
Confidence Interval for a Proportion
62
Confidence Interval for the Difference in Proportions
63
Confidence Interval for a Standard Deviation
64
Confidence Interval for a Correlation Coefficient
65
66
Hypothesis Testing
67
Introduction to Hypothesis Testing
68
One Sample t-test
69
Two Sample t-test
70
Welch’s t-test
71
Mann-Whitney U Test
72
Paired Samples t-test
73
Wilcoxon Signed Rank Test
74
One Proportion Z-Test
75
Two Proportion Z-Test
76
77
P-values and Effect Size
78
How to Interpret a P-Value of 0.000
79
How to Calculate a P-Value from a t Test By Hand
80
Three Ways to Find a P-Value from a t Statistic
81
An Explanation of P-Values and Statistical Significance
82
A Simple Explanation of Statistical vs. Practical Significance
83
How to Find Z Alpha/2 (za/2)
84
Effect Size
85
Bayes Factor
86
87
Chi-Square Tests
88
Chi-Square Goodness of Fit Test
89
Chi-Square Test of Independence
90
Fisher’s Exact Test
91
Effect Size for a Chi-Square Test
92
93
Regression
94
Introduction to Simple Linear Regression
95
How to Perform Simple Linear Regression by Hand
96
Introduction to Multiple Linear Regression
97
How to Perform Multiple Linear Regression by Hand
98
Testing the Significance of a Regression Slope
99
How to Read and Interpret a Regression Table
100
How to Interpret Regression Coefficients
101
The F-Test of Overall Significance in Regression
102
Understanding the Standard Error of the Regression
103
How to Calculate Residuals in Regression Analysis
104
Heteroscedasticity in Regression
105
Multicollinearity in Regression
106
The Breusch-Pagan Test
107
108
ANOVA
109
One-Way ANOVA
110
One-Way ANOVA by Hand
111
Two-Way ANOVA
112
Repeated Measures ANOVA
113
Repeated Measures ANOVA By Hand
114
ANOVA Post Hoc Tests
115
Dunnett’s Test for Multiple Comparisons
116
Dunn’s Test for Multiple Comparisons
117
ANCOVA
118
Kruskal-Wallis Test
119
Friedman Test
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