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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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Statology

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