Confidence band for regression line with exponential distribution of errors
Let us consider the linear model covering the one-way classification as a special casse. In the paper the relationship between testing of some linear hypothesis and estimating of parameters in the linear model by common software packages is examined.
This paper deals with the reliability of composite measurement consisting of true-false items obeying the Rasch model. A definition of reliability in the Rasch model is proposed and the connection to the classical definition of reliability is shown. As a modification of the classical estimator Cronbach's alpha, a new estimator logistic alpha is proposed. Finally, the properties of the new estimator are studied via simulations in the Rasch model.
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