GC Statistics

R Presentations

Ch. 1

Basic R and an introductory activity.

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Ch. 2 Pt. 1

Data basics, one factor variable, two factor variables, one numerical variable (numerical analysis only).

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Ch. 2 Pt. 2

One numerical variable (graphical approach). Describing shape of the distribution of a numerical variable.

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Ch. 2 Pt. 3

One factor and one numerical variable, mean/SD vs. median/IQR, the 68-95 Rule and z-scores.

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Ch. 3 Pt. 1

Conditional distribtutions, detecting and describing realtionships between two factor variables.

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Ch. 3 Pt. 2

Inference for the relationship between two factor variables. The Chi-Square test, and simulation of P-values.

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Ch. 3 Pt. 3

Simpson's Paradox.

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Ch. 4 Pt. 1

Two Numerical Variables: Scatterplots.

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Ch. 4 Pt. 2

Two Numerical Variables: Correlation and Regression.

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Ch. 4 Pt. 3

Two Numerical Variables: Further Considerations.

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Ch. 5 Pt. 1

Sampling: The Idea of random Sampling; Simple Random Sampling, Stratified Sampling, and Cluster Sampling.

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Ch. 5 Pt. 2

Sampling: Bias in Sampling; Selection Bias, Non-Response Bias, and Response Bias.

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Ch. 6 Pt. 1

Design of Studies: Observational studies and Experiments, Completely Randomized Designs.

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Ch. 6 Pt. 2

Design of Studies: Randomized Block Designs, Matched Pairs/Repeated Measures, Further Ideas.

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Ch. 7 Pt. 1

Basic Probability: Discrete Random Variables; Probability Distributions

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Ch. 7 Pt. 2

Basic Probability: Expected Value and Standard Deviation; Binomial Random Variables

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Ch. 7 Pt. 3

Basic Probability: Continuous Random Variables; Approximating Binomials with Normals

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Ch. 8 Pt. 1

Probability in Sampling: Five Basic Parameters, and the Estimators for These Parameters

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Ch. 8 Pt. 2

Probability in Sampling: Defining Parameters for Experiments

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Ch. 8 Pt. 3

Probability in Sampling: The Central Limit Theorem, Probability Applications, the 68-95 Rule for Random Variables

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Ch. 8 Pt. 4

Probability in Sampling: Standard Errors; the 68-95 Rule for Estimation

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Ch. 9 Pt. 1

Confidence Intervals for Means

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Ch. 9 Pt. 2

How Confidence Intervals Work

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Ch. 9 Pt. 3

Confidence Intervals for Proportions

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Ch. 9 Pt. 4

Cautions About Confidence Intervals

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Ch. 10 Pt. 1

Tests of Significance: Tests Involving Means

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Ch. 10 Pt. 2

Tests of Significance: The Relationship Between Tests and Confidence Intervals

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Ch. 10 Pt. 3

Tests of Significance: The Importance of Safety Checks, and Types of Errors

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Ch. 10 Pt. 4

Tests of Significance: Tests Involving Proportions

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Ch. 10 Pt. 5

Tests of Significance: The Dangers of Limited Reporting, and Data Snooping

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Ch. 11 Pt. 1

Chi-Square Test for Goodness of Fit: The Gambler's Die and Data Snooping

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Ch. 11 Pt. 2

Chi-Square Test for Goodness of Fit: Randomness, and "Too-Good-To-Be-True" Tests

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