Generalized Linear Models for Survey Data
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This menu can be used to fit generalized linear models to data from one- or two-stage surveys. Variance estimates reflecting the survey design are estimated by a bootstrap method or, in the case of Normal data, a Taylor series approximation. Survey weights are used to ensure that unbiased estimates of the finite survey population parameters are produced. It should be noted that using a weighted analysis is not the only way to handle such data; in some circumstances it may be preferable to use an unweighted analysis, including factors reflecting the survey design. Mixed models, such as those fitted by the Linear Mixed Model menu, the Generalized Linear Mixed Models menu or the Hierarchical Generalized Linear Models menu may be another way of accounting for the correlations induced in the data by the survey design.

Design

Specifies the type of survey to tabulate. You can choose from a simple random survey, a stratified random survey, one stage cluster survey or two-way survey.

Stratification factor

For a stratified survey, this is the factor indicating the stratum to which each unit belongs.

Sampling Units

A factor indicating the primary sampling units for a two stage survey or one stage cluster survey.

Weights

A variate containing survey weights.

Response Variate

Specifies the response variate (dependent variate).

Model to be fitted

The terms to be fitted to the model are specified by entering a model formula.

Distribution

List of available error distributions for the generalized linear model. If you select the binomial distribution, then you must supply the binomial totals in the space provided.

Link Function

Lists the available link functions for the model.

Available Data

This lists data structures appropriate to the current input field. It lists either factors for use in specifying the genotypes, environments and replication, or variates for specifying the data. The contents will change as you move from one field to the next. Double-click on a name to copy it to the current input field; alternatively, you can type the name directly into the input field.

Operators

This provides a quick way of entering operators in the fixed and random model formulas. Double-click on the required symbol to copy it to the current input field. You can also type in operators directly. See model formula for a description of each.

See Also