The Basics of Statistics
Projects Lab, University of Utah

"There are three kinds of lies: lies, damned lies, and statistics."

~ Mark Twain

Statistics is a branch of mathematics concerned with the effective collection and analysis of numerical data. Whereas random noise is ever-persistent and experimental resources are finite, a firm grasp on the basic concepts of statistics is a necessity in any lab.

• Random Variables
  • Cumulative Distribution Functions
• Probability Density Functions
• Descriptive Statistics
  • Central Tendencies
    • Mean
    • Median
    • Mode
      
  • Dispersions
    • Standard Deviation
    • Variance
    • Range
  • Miscellaneous
    • Skewness
    • Kurtosis
  • Sample verses Population Statistical Properties
• Inferential Statistics
  • Tests for Normality
• Confidence Intervals and Levels
• Hypothesis Testing (Two Treatments)
• Data Visualization