Estimate of the mean

Estimate of the total amount

Estimate of overall proportion

The absolute error limit d and the overall variance S^2 are known

The relative error limit r and the overall variance S^2 are known

The formula of deff

The sample size for complex sampling can be determined based on the simple random sampling method

Adopt reverse sampling method to determine sample size

Estimate of the mean

Estimate of the total amount

Estimate of overall proportion

The sample size required varies with different allocation methods.

proportional allocation

Neiman allocation

optimal allocation

Determination of sample size under given cost CT (must be in the context of optimal allocation)

Constant distribution method (even distribution)

proportional allocation

optimal allocation

Neyman allocation (ch=c in optimal allocation)

cumulative square root

post hoc stratification

RatioR

Ybar=R*Xbar

Y=N*R*Xbar

Find out each layer and use layer weights to calculate the overall

Estimate of the mean

Estimates of other estimators...(total)

Through hierarchical estimation of ybar and xbar, directly calculate the overall

Estimate of the mean

Large sample size in each stratum

The ratio difference between each layer is small

Large sample size in each stratum

The ratio difference between each layer is small

Through hierarchical estimation of ybar and xbar, directly calculate the overall

Estimate of the mean (whether β is a constant or a sample regression coefficient)

Find out each layer and use layer weights to calculate the overall

Estimate of the mean (whether β is a constant or a sample regression coefficient)

Estimates of other estimators...(total)

β is 1

β is 0

β is ybar/xbar

β is a constant

β is the sample regression coefficient