Refer to Khan academy course.
Types of studies:
Sample study
Observational studies
Benford's Law
It’s also called Newcomb-Benford's Law, Law of Anomalous Numbers, and First-Digit Law.
Newcomb-Benford's Law
Law of Anomalous Numbers
First-Digit Law
Refer to wiki: Benford’s law
It is an observation about the frequency distribution of leading digits in many real-life sets of numerical data.
Two-way Tables (Joint Distributions)
Refer to Khan academy: Two-way tablesRefer to Khan academy: Distributions in two-way tablesRefer to Khan academy: Marginal distribution and conditional distribution
Refer to Khan academy: Frequency tables & dot plotsRefer to Khan academy review: Dot plots and frequency tables review
Central Tendencies: Mean, Median, Mode
Which could represent the centres of a distribution.
Refer to youtube: Mean, Median, and Mode: Measures of Central Tendency: Crash Course Statistics #3Refer to wikipedia: Central tendencyRefer to Khan lecture.
Quartiles and Box plots
It’s also called Box and whisker plots, or Five-number summary.
Box and whisker plots
Five-number summary
▶︎ Jump over to Khan academy for practice: Comparing data distributions
Variance
In mathematics and statistics, deviation is a measure of difference between the observed value of a variable and some other value, often that variable’s mean.
Sample Variance
The Sample Variance, s², is used to calculate how varied a sample is, and it's useful to estimate the Population Variance.
s²
Population Variance
Since the Sample Variance is kind of estimation, so its formula is bit different.
Mean Absolute Deviation
The Mean absolute deviation is the absolute average of all deviations.
Mean absolute deviation
The deviation is the distance from the value to the mean value. It's used to describe how the values looks like or how they're laid on the axis, are they close to each other or…
The deviation
mean
Intro to Probability
It’s easy but always confusing if you haven’t yet totally understood it in the first place.
The very first thing to do for solving a probability problem, is to CATEGORISE the problem and apply different formula.