Introduction to Statistics
Description
The course Introduction to Statistics is dedicated to solving the most important problems of mathematical statistics in Engee. You will learn how to import tabular data from files into Engee, pre-process them, build graphs of various types based on tabular data, calculate numerical characteristics of a sample, create realizations of a normally distributed random variable, select its parameters and test statistical hypotheses about parameters and distribution shapes.
Each section contains brief theoretical information, practical examples and self-study tasks.
Knowledge requirements: completion of the course Welcome to Engee.
Total course time: ~2 hours.
Course program
Data import and preparation
Loading tabular data into Engee from a file, creating categorical variables, creating new tables based on the original table according to certain criteria are studied.
Data visualization
The construction of various types of graphs based on tabular data is studied: scatter graph, histogram and scatter histogram.
Numerical characteristics of a sample
Numerical characteristics of a sample are studied: the mean, the median, the standard deviation, the sample range, the interquartile range, skewness and kurtosis.
Normal distribution
The probability density function and cumulative distribution function, normal distribution, creating and visualizing a normally distributed random variable and fitting distribution parameters are studied.
Hypothesis testing
The basic concepts of statistical hypothesis testing, testing hypotheses of the equality of mean and the equality of variances for two normally distributed samples and testing the hypothesis of normal sample distribution are studied.