Further Tests Based on a Product Multinomial Model: Order in the Sign Test and Ordinal Categorical Data with a Factorial Response

We now consider two topics that draw directly on the product multinomial model. The first is how order affects the sign test. The successful model for the sign test when order is important is a product binomial - a simpler version of the model used in the previous section to derive Yates’ test and extensions of it. The second topic relates to data analysis in which the structure of the model allows us to take advantage of the results of the previous chapter. Examples are given in sections 5.6, 5.9 and 5.10.