Basic Statistics

A guide for learning statistics.

Sampling: Sample Sizes, Sampling Methods, Random Selection of a Sample, Sampling Fraction for the distribution of a sample. Descriptive Statistics for one and two variables. Basic probability calculations and probability distributions. Inferential Statistics: Confidence Intervals and Hypothesis Tests.

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Topic List:

- Sampling

- Topic 1: Sample Size

- Sample Size for estimating a Population Proportion

- Sample Size for estimating a Population Mean

- Sample Sizes for the Difference of 2 Population Proportions

- Sample Sizes for the Difference of 2 Population Means

- Topic 2: Sampling Methods

- Probabilistic Sampling Methods

- Simple Random Sampling

- Systematic Sampling

- Stratified Sampling

- Cluster Sampling

- Multistage Random Sampling

- Non-Probabilistic Sampling Methods

- Convenience Sampling

- Judgement Sampling

- Quota Sampling

- Snowball Sampling

- Volunteer Sampling

- Theoretical Sampling

- Topic 3: Random Selection of a Sample

- Topic 4: Sample Distribution

- Descriptive Statistics

- Topic 1: Descriptive Statistical Analysis of a Quantitative Variable

- Mean, Median, Mode

- Quartiles: 1st, 2nd, 3rd

- Amplitude, Mean Deviation, Standard Deviation

- Topic 2: Descriptive Statistical Analysis of a Qualitative Variable

- Topic 3: Descriptive Statistical Analysis of 2 Quantitative Variables

- Topic 4: Descriptive Statistical Analysis of 2 Qualitative Variable

- Topic 5: Descriptive Statistical Analysis of a Quantitative Variable and a Qualitative Variable

- Probabilities

- Topic 1: Calculus, Rules, and Bayes Theorem

- Theoretical Probability

- Empirical Probability

- Complement Rule

- Addition Rule

- Multiplication Rule

- Bayes' Theorem (Simple)

- Topic 2: Binomial Distribution

- Topic 3: Poisson Distribution

- Topic 4: Hypergeometric Distribution

- Topic 5: Normal Distribution

- Standardization

- Probabilities

- Topic 6: Student's t Distribution

- Topic 7: Fisher's F Distribution

- Topic 8: Chi-Squared Distribution

- Inferential Statistics

- Topic 1: Confidence Interval for a Population Proportion

- Confidence Interval for a Population Proportion (Unknown Population)

- Confidence Interval for a Population Proportion (Known Population)

- Topic 2: Confidence Interval for a Population Mean

- Confidence Interval for a Population Mean (Unknown Population)

- Confidence Interval for a Population Mean (Known Population)

- Topic 3: Hypothesis Test for a Population Proportion

- Topic 4: Hypothesis Test for a Population Mean

- Topic 5: Hypothesis Test for comparing 2 Population Proportions

- Topic 6: Hypothesis Test for comparing 2 Population Means

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The source code is available on GitHub: https://github.com/mimg2805/CursoEstadisticaBasica