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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