anchors: Non-parametric analysis of surveys with vignette anchors

Description

Non-parametric analysis of surveys with vignette anchors.

Usage

anchors(formula, data, method = c("B","C"),
        options=anchors.options(),
        subset, combn = FALSE, na.action = na.omit)

Arguments

formula

A list of named formulas giving a symbolic description of the model to be fit. See Details below.

data

A data frame or matrix. See Details below.

method

Single string indicating method of analysis. See Details below.

options

A list of class 'anchors.options', produced by function anchors.options;

subset

Logical expression indicating elements or rows to keep: missing values are taken as false; equivalent to function subset.

combn

Logical (TRUE/FALSE). Calculate key statistics for all combinations of subsets of vignettes specified in formula=list(vign=cbind(...))

na.action

Specify the "NA action" which should be applied to 'data'. Default is R standard option 'na.omit'; can also be set to 'na.fail'.

Value

Specific values listed below are meant for programmers; data analysts should see the values produced by the summary.anchors function.
rankList object containing:
[object Object],[object Object],[object Object],[object Object]
summarylist of summary statistics about ranks
minentropyMatrix specifying how interval rank values would be allocated to scalar rank values to minimize entropy.
cpolra cpolr model that was used to estimate how to allocate interval rank values to scalar rank values
typeThe type of nonparamtric analysis (B or C)

Details

The formula syntax is designed to allow the same list of formulas to be used for both anchors and chopit. If a user would like to use exactly the same cases with chopit as with anchors (i.e., drop cases with any missing responses or missing cpolr values), and vise versa (i.e., also drop any case with missing values in the tau=, tau1= formulae), then the user should use the same list of formula for all methods and use the option anchors.options(delete="maximal"). See example below.

Only options relevant to anchors are discussed here.

The named list() of formulas may include

self: LHS self-response variable; RHS is simply 1 (needed to define a formula); actually anything can be put on the RHS, and it will not by default be used.

vign: vignette responses, bound together by cbind (as in glm binomial syntax), with ONLY '~ 1' as RHS of equation (formulas must have RHS).

cpolr: OPTIONAL. linear predictors used by the censored ordered probit, cpolr, model to break ties in rank based models, method="B" or "C". Default is cpolr = ~ 1 (i.e., an intercept only). Example:

fo <- list(self = xsayself ~ 1, vign = cbind(xsay3,xsay1) ~ 1, cpolr = ~ age )

NOTE: one can also use a single formula as a short hand: specifying

fo <- self ~ vign1 + vign2

is equivalent to

fo <- list(self = self ~ 1 vign = cbind(vign1,vign2) ~ 1, cpolr= ~ 1)

All of the response variables must be in the form of consequetive non-negative numeric integers, i.e., 1, 2, ... K. ** anchors currently does not support factor responses.**

The method="B" and "C" requires that cases with any response that is missing be dropped. Any cases with missing values the covariates specified in the cpolr= formula are also dropped. BUT by default these methods ignore missing values in the covariates specified by tau=, tau1=, or the right hand side of self=.

References

Wand, Jonathan; Gary King; and Olivia Lau. (2007) ``Anchors: Software for Anchoring Vignettes''. Journal of Statistical Software. Forthcoming. copy at http://wand.stanford.edu/research/anchors-jss.pdf

Wand, Jonathan. (2007) "Credible Comparisons Using Interpersonally Incomparable Data: Ranking self-evaluations relative to anchoring vignettes or other common survey questions". copy at http://wand.stanford.edu/anchors/wand_anchors.pdf Wand, Jonathan and Gary King. (2007) Anchoring Vignetttes in R: A (different kind of) Vignette copy at http://wand.stanford.edu/anchors/doc/anchors.pdf Gary King and Jonathan Wand. "Comparing Incomparable Survey Responses: New Tools for Anchoring Vignettes," Political Analysis, 15, 1 (Winter, 2007): Pp. 46-66, copy at http://gking.harvard.edu/files/abs/c-abs.shtml. King, Gary; Christopher J.L. Murray; Joshua A. Salomon; and Ajay Tandon. "Enhancing the Validity and Cross-cultural Comparability of Survey Research," American Political Science Review, Vol. 98, No. 1 (February, 2004): 191-207, copy at http://gking.harvard.edu/files/abs/vign-abs.shtml

Examples

Run this code

data(mexchn)

fo <- list(self = xsayself ~ age,
           vign = cbind(xsay3,xsay1)    ~ 1,
           tau  = ~ age + china,
           tau1 = ~ age + china + male,
           cpolr= ~ china + male
    )

a2 <- anchors(fo, data = mexchn, method="B")
summary(a2)

a3 <- anchors(fo, data = mexchn, method="C")
summary(a3)

Run the code above in your browser using DataLab