Titelbild
Technische Informationsbibliothek (TIB)27 Module
Statistics with r
27 Einträge
Aktualisiert
Beschreibung und Lernergebnis
Mentoren
Gábor KismihókGKGábor Kismihók
Carolin EisentrautCECarolin Eisentraut

Beschreibung

This learning path provides a comprehensive introduction to statistics, focusing on both theoretical concepts and practical application using R. It covers central tendency measures, variance, standard deviation, various probability distributions (Bernoulli, Binomial, Poisson, Normal), hypothesis testing, regression, and correlation. Developed with the contribution of the OEduverse Erasmus Plus Project. www.oeduverse.eu

Lernziele

  1. Understand and Apply Measures of Central Tendency: Learners will be able to explain the concepts of mean, median, and mode and apply them to describe data sets.

  2. Calculate and Interpret Measures of Dispersion: Learners will be able to calculate variance and standard deviation and interpret their significance for data analysis.

  3. Identify and Apply Various Probability Distributions: Learners will be able to describe the characteristics of Bernoulli, Binomial, Poisson, and Normal distributions and apply them to appropriate scenarios.

  4. Conduct Hypothesis Tests: Learners will be able to formulate, conduct, and interpret the results of basic hypothesis tests.

  5. Fundamentals of Regression and Correlation: Learners will be able to explain linear regression and correlation and demonstrate their application in analyzing relationships between variables.

  6. Practical Application of Statistical Methods with R: Learners will be able to implement and interpret the learned statistical concepts and methods using the R programming language.

Enthaltene Inhalte
Entdecke die Module, die in diesem Lernpfad enthalten sind.
1

Central tendency measures: mean, median, mode

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2

Central tendency measures: mean, median, mode in r

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3

Variance and standard deviation

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4

Variance and standard deviation in r

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5

Random variables (discrete and continuous)

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6

Density function

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7

Expected value

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8

Bernoulli distribution

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9

Bernoulli distribution in r

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10

Binomial distribution

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11

Binomial distribution in r

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12

Poisson distribution

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13

Poisson distribution in r

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14

Law of large numbers

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15

Normal distribution

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16

Normal distribution in r

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17

Z-score

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18

Central limit theorem

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19

Sampling distribution

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20

Statistical inference

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21

Hypothesis testing, p-value, confidence interval

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22

Linear Regression

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23

Linear regression with r

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24

Conditional probability and independent variables

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25

Bayes' theorem

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26

Covariance and correlation

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27

Correlation and causality

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