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Basic Statistics

Beginner

Updated 01/2025

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Course Description

This course complements course material from the University of Amsterdam's Basic Statistics at Coursera (www.coursera.org/learn/basic-statistics). The Basic Statistics course is roughly based on the syllabus used by the department of Child Development and Educational Sciences at the University of Amsterdam (produced by A. van Maanen, A.A.J. van Peet, N. Borgers, E. Gebhardt, N. Lagerweij, R. Stoel, G. van de Wittenboer, F.J. Oort, P.J. Hoffenaar, and B.J.H. Zijlstra.)

Prerequisites

There are no prerequisites for this course

2

Introduction to R continued

Making a start with functions: Getting help

Functions continued

Functions continued II

Making your own functions

Getting your data into R

Reading in your own data

Working directories in R

Changing working directories in R

Checking files in your working directory

Importing R packages

6

Probability distributions

Probability mass and density functions

Probability mass and density functions (2)

The cumulative probability distribution

Summary statistics: The mean

Summary statistics: Variance and the standard deviation

The normal distribution

The normal distribution and cumulative probability

The normal distribution and quantiles

The normal distribution and Z scores

The binomial distribution

Calculating probabilities of binomial distributions in R

Quantiles and the binomial distribution

7

Sampling distributions

Sampling from the population

Using a for loop

Mean of the sampling distribution

Standard deviation of the sampling distribution

Standard deviation of the sampling distribution (2)

The central limit theorem

Calculating areas with subjects

Interpreting areas under the curve

Calculating areas with sample means

Calculating areas with sample means (2)

Sampling distributions and proportions

Sampling distributions and proportions (2)

8

Confidence Intervals

Point Estimate vs. Interval Estimate

Confidence Interval With Known SD I

Confidence Interval With Known SD II

Calculating a Confidence Interval Without The Population Standard Deviation

Assumptions For Calculating A Confidence Interval

Calculating A Confidence Interval for a Proportion I

Calculating A Confidence Interval for a Proportion II

Calculating A Confidence Interval for a Proportion III

Calculating A Confidence Interval for a Proportion IV

Other Types Of Confidence Intervals I

Other Types Of Confidence Intervals II

Other Types Of Confidence Intervals III

Other Types Of Confidence Intervals IV

Sample Size I

Sample Size II

Sample Size III

Sample Size IV

9

Hypothesis testing

Significance testing recap

Significance testing: one-sided versus two-sided

Significance testing: one-sided versus two-sided (2)

Significance testing: one-sided versus two-sided (3)

Significance testing: one-sided versus two-sided (4)

Hypothesis testing and the binomial distribution

Hypothesis testing and the binomial distribution (2)

Hypothesis testing and the binomial distribution (3)

The t distribution

The t distribution (2)

Confidence interval and significance testing

Confidence interval and significance testing (2)

Confidence interval and significance testing (3)

Basic Statistics

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