MAE 3340 Instrumentation and Measurements
Section 3: Assessing and Classifying Experimental Data
Section 4 Lecture Notes : ...................
- Section 2.1: Introduction to Probability Theory and Hypothesis Testing
... (Beckwith Chapter 3)
- Sample Mean and Variance Revisited
- Estimation of Uncertainty in Sample Statistics
- Introduction to Uncertainty Anaylsis
- Probabilisitic Description of Error
- Sample Mean Uncertainty Analysis for Large Samples
• Central Limit Theorem
• Gaussian Probability Density Function
• Density versus Distribution Function
• Tables of Normal Distribution
• Example Calculation
• Confidence Intervals for Large but Finite Samples
- Sample Mean Uncertainty Analysis for Small Samples
• Student's-t Distribution
• Degrees of Freedom
• Density versus Distribution Function
• Small Sample Confidence Intervals
• Bias and Single Sample Uncertainties
• The t-test Comparison for Hypothesis Testing
- Sample Variance Uncertainty Analysis
• Probability Distribution for Squared Samples
• "Chi-Square" Probability Density Function
• Density versus Distribution Function
• "Chi-Square"Significance testing
• "Other Uses" for Chi-Square
- Gaussian (Normal) Probability Model (zip)
- Student-t Probability Model (zip)
- Chi Square Probability Model (zip)
- Student Resorces for Homework 5