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Function SpecifyCoefficient returns the design matrices and functions of several prespecified coefficients, including Cronbach’s alpha. Is called the marginal matrix. A by 21 matrix, representing the dichotomous item scores of respondents from two groups for two tests. The first column is the grouping variable: Data set TestCronbachAlpha is a simulated data set that is used to demonstrate the statistical testing of three relevant hypotheses involving Cronbach’s alpha: Second, vector n , the number of items J , the number of categories K , and criterion c in hypothesis H01 have to be defined. Note that the first item indicates group membership.

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The marginal matrix was not specified for hypotheses H01 and H02, which is equivalent to including the identity matrix as the h022 matrix in Equations 10 H01 and h002 H Related to TestCronbachAlpha in cmm First, the R package cmm needs to be invoked.

Data set TestCronbachAlpha is a simulated data set that is used to demonstrate the statistical testing of three relevant hypotheses involving Cronbach’s alpha: The argument arg in SpecifyCoefficient specifies for which of the J marginals Cronbach’s alpha should be computed, and it specifies the number of response categories K.

Is called the marginal matrix. Function MarginalMatrix constructs the marginal matrix. For hypothesis H03, which involves two dependent alpha coefficients, coeff is obtained by.

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This R document bf may be regarded as an appendix to Kuijpers, Van der Ark, and Croon who discussed this topic. Group 1 and Group 2 each consist of observations.

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For H03, the marginal matrix is not implemented in the package as a code yet, so it has to be computed ad hoc. Furthermore, the argument data in SpecifyCoefficient specifies for which data set Cronbach’s alpha should be computed for example for data set mydata.

For hypothesis Bbt, which involves two alpha coefficients derived from two independent samples, coeff is obtained by. For more information on customizing the embed code, read Embedding Snippets. You should contact the package authors for that.

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The page or its h002 looks wrong. What can we improve? Testing hypotheses involving Cronbach’s alpha using marginal models. The data of each test forms one dependent group. For hypothesis H01, which involves only one Cronbach’s alpha, coeff is obtained by. For hypotheses H02 and H03 bt equals design matrix A6.

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Columns are the item scores of Test 2. Manuscript submitted for publication. A by 21 matrix, representing nt dichotomous item scores of respondents from two groups for two tests. In the example for testing hypothesis H01, data set TestCronbachAlphaH1 was used, which contained the item-score vectors from the first group, for the first test.

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For this data set, Cronbach’s alpha is equal to 0. The B02 section describes the required objects for testing the three hypotheses. Simulate Package Installation and Attach oceanmap: Hence, all references to equations pertain to this paper.

The Examples section describes the actual code required for for testing the three hypotheses. Note tb the first item indicates group membership. For hypothesis H03, data set TestCronbachAlphaH3 was used, which contained the item-score vectors from the first group for the two tests.

For H03, object coeff includes the design matrices and functions in Equation For testing hypothesis H02, data set TestCronbachAlphaH2 was used, which contained the item-score vectors from the two independent groups for the first test, and an additional variable indicating group membership. Curry, Compose, and other higher-order functions.