Sampling and Sampling distributions

Sampling methods

Simple random sampling from a large population

Identically and independently distributed observations

Other sampling methods

Stratified sampling

Cluster sampling

Sampling distributions of sample statistics

Sampling distribution of the sample Variance

Variance

Mean

Sampling distribution of the sample Mean

Central Limit Theorem and Normality

Variance

Mean

Falls with sample size

Sample statistics as random variables

Concept of Degrees of Freedom

With distributions derivable from the underlying population distribution

Sampling distribution of sample proportion