One- and Two-Sample Z-Tests for diff Values
z_test performs one- and two-sample Z-tests for the diff
values.
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, or , 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.
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 package for data analysis methods in knowledge space theory. Journal of Statistical Software, 37 (2), 1--31. URL http://www.jstatsoft.org/v37/i02/.
Anatol Sargin, Ali Uenlue
The current version of the package DAKS does not support performing a Z-test for the original inductive item tree analysis algorithm.
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.
sel_set<-ind_gen(ob_counter(pisa[, 1:3])) z_test(pisa[, 1:3], sel_set[[2]], sel_set[[3]], v = 1)