AMS 315 Lecture Notes - Lecture 15: Junkers J 1, Partial Derivative, Ss 1

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The procedures in this chapter generalize the test of the equality of means of two independent populations. This generalization is often called the one-way layout. While this design has somewhat limited value in practice, the material in this chapter is fundamental for further generalizations. The model of observations in a completely randomized design. The usual effects model is (where i is the number of. 1 i ijz in this model is the assumption that the dependent variable data is normally distributed and independent. W1 is the assumption that the variances within groups are use of the multiplier homogeneous. The important assumption is independence of the error terms. This is guaranteed when there is a random assignment of experimental unit to treatments. Sometimes researchers apply these techniques to data not generated by a randomized experiment. In that event, checking the assumption of independence is crucial. A model that is equivalent to the effects model is called the means model and is.

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