Basic Statistics

A guide to learning statistics.

Sample size calculation, random number generation, sampling fraction for selection and distribution of a sample of size n. Basic Probability Calculation and the most used probability distributions in Statistics.

Calculation of Confidence Intervals for a Proportion or Population Mean, for a known or unknown population.

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Syllabus:

- Sampling

- Topic 1: Sample Size

- Sample Size to estimate a Population Proportion

- Sample Size to estimate a Population Mean

- Sample Sizes for the Difference of 2 Population Proportions

- Sample Sizes for the Difference of 2 Population Means

- Topic 2: Random Selection of a Sample

- Topic 3: Sample Distribution

- Descriptive statistics

- Topic 1: Descriptive Statistical Analysis of a Quantitative Variable

- Mean, Median, Mode

- Quartile 1, 2, 3

- 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 Variables

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

- Odds

- Topic 1: Calculus, Rules and Bayes' Theorem

- Theoretical Probability

- Empirical Probability

- Complement Rule

- Addition Rule

- Multiplication Rule

- Bayes Theorem (Simple)

- Topic 2: Binomial Probability Distribution

- Topic 3: Poisson Probability Distribution

- Topic 4: Hypergeometric Probability Distribution

- Topic 5: Normal Probability Distribution

- Standardization

- Odds

- Topic 6: Student's T Probability Distribution

- Topic 7: Fisher's F Probability Distribution

- Topic 8: Chi Square Probability 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 Testing for a Population Proportion

- Topic 4: Hypothesis Testing for a Population Mean

- Topic 5: Hypothesis Test to compare 2 Population Proportions

- Topic 6: Hypothesis Test to compare 2 Population Means

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The application is open source and licensed under the GNU GPL, version 3.

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