STAT368 Study Guide - Quiz Guide: F-Test, Statistical Hypothesis Testing, Analysis Of Variance

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Sometimes we can make only one observation per cell. + 2 is what we should be using to estimate experimental error. There is still however a way to test for inter- actions, if we assume that they take a simple form: We carry out tukey s one d. f. test for interaction , which is an application of the usual reduction in ss hypothesis testing principle. Under the null hypothesis tions, the reduced model is. 1): 1 in which the minimum ss (i. e. one computes. The di erence is called the ss for non-additivity , and uses 1 d. f. to estimate the one parameter. An r function to calculate this, and carry out the f- test, is at r commands for tukey s 1 df test on the course web site. For the experiment at example 5. 2 of the text there are = 3 levels of temperature and = 5 of pressure; response is = impurities in a chemical product.