Statistics for Sciences

Statistics for college and university students. Contains descriptive statistics, probability theory, inferential statistics, hypothesis testing, data analysis and more. Statistics for Sciences takes a more mathematical approach to explaining and assessing statistics.

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Course content

[A, SfS] Chapter 1: Sampling, Descriptive Statistics, Intr

1.1: Populations and Samples

1.4: Measurement Levels

1.7: The Median

1.8: Quartiles

1.9: Frequency Tables

1.10: Variance and Standard Deviation

[A, SfS] Chapter 2: Probability

2.1: Probability Principles

2.2: Counting Methods

2.3: Conditional Probability and Independence

2.4: Random Variables

2.5: Linear Combinations of Random Variables

[A, SfS] Chapter 3: Probability Distributions

3.1: The Binomial Distribution

3.2: The Normal Distribution

3.3: Normal Quantile-Quantile Plots

3.4: More Probability Distributions

3.5: The Central Limit Theorem

[A, SfS] Chapter 4: Estimation

4.1: Bias, Variance, and Mean Square

4.2: Maximum Likelihood Estimation

[A, SfS] Chapter 5: Confidence Intervals

5.1: Confidence Intervals

5.2: CI for a mean

PRACTICE

P

2.

Confidence Interval for the Population Mean of a Quantitative Variable

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5.3: CI for mean difference

PRACTICE

P

2.

Confidence Interval for the Population Mean Difference for a Quantitative Variable

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5.4: CI for difference in means

THEORY

T

1.

Confidence Interval for the Difference Between Two Population Means for a Quantitative Variable

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PRACTICE

P

2.

Confidence Interval for the Difference Between Two Population Means for a Quantitative Variable

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5.5: CI for proportion

5.6: CI for difference in proportions

THEORY

T

1.

Confidence Interval for the Difference Between Two Population Proportions

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PRACTICE

P

2.

Confidence Interval for the Difference Between Two Population Proportions

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[A, SfS] Chapter 6: Hypothesis Testing

6.1: Theory of Hypothesis Testing

6.2: Test for Population Mean

6.3: Test for Population Mean Difference

6.4: Test for Difference in Two Population Means

6.5: Test for Population Proportion

6.6: Test for Difference Between Proportions

PRACTICE

P

2.

Hypothesis Test for a Difference Between Two Population Proportions

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6.7: Computing the Power of a Hypothesis Test

6.8: Tests & Confidence Intervals in R

[A, SfS] Chapter 7: Chi-square tests and ANOVA

7.1: Chi-square Goodness of Fit Test

7.2: Chi-square Test of Independence

7.3: One-way Analysis of Variance

7.4: Multiple Pairwise Comparisons

7.5: Two-way Analysis of Variance

[A, SfS] Chapter 8: Correlation and Regression

8.1: Correlation

8.2: Simple Linear Regression

8.3: Validating Assumptions and Remediation

8.4: Multiple Linear Regression

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