z_test: One- and Two-Sample Z-Tests for diff Values
In DAKS: Data Analysis and Knowledge Spaces

Description Usage Arguments Details Value Note Author(s) References See Also Examples

z_test performs one- and two-sample Z-tests for the diff values.

1
2
3

z_test(dataset, imp, imp_alt = NULL,
       alternative = c("two.sided", "less", "greater"), mu = 0, 
       conf.level = 0.95, v)

`dataset`	a required data frame or matrix consisting of binary, 1 or 0, numeric data.
`imp`	a required object of class `set` representing the set of implications (ought to be a quasi order).
`imp_alt`	an optional set of implications, representing the alternative quasi order.
`alternative`	a character string specifying the alternative hypothesis, must be one of `"two.sided"` (default), `"less"`, or `"greater"`.
`mu`	a number indicating the true value of the mean (or difference in means if you are performing a two sample test).
`conf.level`	confidence level of the interval.
`v`	a required numeric giving the inductive item tree analysis algorithm to be performed; `v = 1` (minimized corrected) and `v = 2` (corrected).

This function performs a Z-test for the diff values of one or two quasi orders.

If the arguments are of required types, z_test returns a named list consisting of the following seven components:

`Z.value`	the value of the Z-statistic.
`p.value`	the p-value for the test.
`conf`	a confidence interval for the mean appropriate to the specified alternative hypothesis.
`diff_value`	the corresponding diff values for the used quasi orders according to the specified method.
`alternative`	a character string specifying the alternative hypothesis.
`mu`	a number indicating the true value of the mean (or difference in means if you are performing a two sample test).
`conf.level`	the level of the confidence interval.

The current version of the package DAKS does not support performing a Z-test for the original inductive item tree analysis algorithm.

Anatol Sargin, Ali Uenlue

Sargin, A. and Uenlue, A. (2009) Inductive item tree analysis: Corrections, improvements, and comparisons. Mathematical Social Sciences, 58, 376–392.

Uenlue, A. and Sargin, A. (2010) DAKS: An R package for data analysis methods in knowledge space theory. Journal of Statistical Software, 37(2), 1–31. URL http://www.jstatsoft.org/v37/i02/.

iita, the interface that provides the three (sample) inductive item tree analysis methods under one umbrella; variance for estimated asymptotic variances of diff coefficients. See also DAKS-package for general information about this package.