Non Random Sampling methods
In this video, we’ll learn about non-random sampling techniques including: Quota sampling Opportunity sampling
Random Sampling Methods
In this video, we’ll learn about random sampling techniques including: Simple random sampling Systematic sampling Stratified sampling
Understanding Population, census and sample
In this video, we will go through Population, Census, and Sample and look at the advantages and disadvantages of Census VS Sample
Probability Tree Diagrams for Dependent Events
Tree Diagrams
Probability Tree Diagrams for Independent Events
Expected values E(X²)
Notation and defining regions
3 set problems
Probability in Venn diagrams
Exam Questions – Calculating the mean and standard deviation
Exam Questions – Finding an observed value
Histograms – How to find the width and height of a class interval
Exam Questions – Histograms, Finding the length and width of a rectangle
Exam Questions – Estimating the median from a histogram
Exam Questions – Continuous data / standard deviation
Exam Questions – Normal distribution, finding a probability
Exam Questions – Venn diagrams
Exam Questions – Stem and leaf diagrams and box and whisker plots
Types of skewness by comparing the mean with the median or quartiles
In this video you are shown how to calculate the type of skewness by considering the mean in relation to the median or the widths between quartiles.
Exam Questions – Estimating the median from a grouped frequency table
How to interpret class intervals
Exam Questions – Median, lower, upper quartiles and interquartile range for discrete data
Exam Questions – Regression
Exam Questions – Correlation
Exam Questions – Discrete random variables
Exam Questions – Tree diagrams
Exam Questions – Histograms
Exam Questions – Discrete data / standard deviation
Exam Questions – Discrete data / mean
Making predictions and reliability of predicted values
Interpreting the regression line constants, explanatory and response variables
Regression
Product moment correlation coefficient (pmcc)
Correlation
Calculating the mean μ and standard deviation σ
Probabilities from a normal distribution using tables
The standard normal distribution Z~N(0,1) – Using tables or calculator
The normal distribution
Linear combinations of discrete random variables
Variance, Var(X)
Expected values E(X)
Cumulative distribution function F(X)
In this tutorial I show you the meaning of this function and how to use it to calculate probabilities and construct a probability distribution table from it.
Probability distribution tables
Independent, dependent and mutually exclusive events
P(A∪B) and mutually exclusive events
Conditional probability in Venn diagrams
Venn diagrams
Conditional probability in tree diagrams
And Rule (multiplication) / Or Rule (addition for mutually exclusive events)
Probability tree diagrams
In this video, I introduce you to drawing tree diagrams as a way of simplifying calculations when combining probabilities. It is important that you see all three questions as they differ in style. I also introduce you to the notation of conditional probability. 1) A bag contains 5 red sweets and 3 blue sweets. Two […]
Possibility space diagrams
In this video, you are shown how to draw possibility space diagrams to evaluate probabilities for equally likely outcomes.