Student’s T Distribution
The Student’s T distribution is used
predominantly for creating confidence intervals and testing hypotheses with normally distributed
populations when the sample sizes are small. It is particularly useful when we don’t have
enough information or it is too costly to obtain it
All else equal, the
Student’s T distribution has fatter tails than the Normal distribution and a
lower peak. This is to reflect the higher level of uncertainty, caused by the small
sample size.
A random variable following the t-distribution is denoted 𝑡υ, α, where υ are
the degrees of freedom.
We can obtain the student’s T distribution for a variable
with a Normally distributed
population using the formula:
Class Sessions
1- Types of data and level of measurement
2- Graphs and Tables that Represent Categorical Variables
3- Excel formulas
4- Graphs and tables that represent numerical variables
5- Graphs and Tables for Relationships Between Variables.
6- Mean, Median, Mode
7- Variance and Standard Deviation
8- Covariance and Correlation
9- Distributions
10- The Central Limit Theorem
11- Estimators and Estimates
12- Confidence Intervals and the Margin of Error
13- Student’s T Distribution
14- Formulas for Confidence Intervals
15- Scientific method
16- Hypotheses
17- Decisions You Can Take
18- Statistical Errors (Type I Error and Type II Error)
19- P-Value
20- Formulae for Hypothesis Testing
21- Basics
22- Linear regression equation
23- How to do linear regression in Excel with Analysis ToolPak
24- Interpret regression analysis output
25- How to make a linear regression graph in Excel
26- How to do regression in Excel using formulas