D.2 Advanced StatisticsHL
HL extensions of Statistics & Probability. Survey design and reliability of measurements. Non-linear regression and the coefficient of determination R². Linear transformations of random variables and unbiased estimators. Linear combinations of normals and the central limit theorem. Confidence intervals for the population mean. The Poisson distribution. Critical regions, Type I/II errors. Markov chains and steady-state probabilities.
Survey design and reliabilityHLSign up
Validity and reliability of variables · Bias in survey design
Non-linear regression and R²HLSign up
Non-Linear Regression & R²
Linear transformations of random variables; unbiased estimatesHLSign up
Linear Transforms & Unbiased Estimates
Linear combinations of normals; central limit theoremHLSign up
Linear Combinations of Normals · Central Limit Theorem
Confidence intervals for the population meanHLSign up
Confidence Intervals for μ
Poisson distributionHLSign up
Poisson Distribution
Critical regions, hypothesis tests; Type I/II errorsHLSign up
Critical Region & Errors
Markov chains and steady-state probabilitiesHLSign up
Transition Matrices · Steady-State Probability