The data show the chemical composition for nine oxides of 48 specimens of Romano-British pottery determined by atomic absorption spectra (for more information on the analysis of compositional data, see Greenacre, 2018). Also, given in the data is the label of the kiln site at which the pot was found. Use MANOVA to test whether the pots found at different kiln sites differ in their chemical compositions.

The five kiln sites are actually from three different regions with kiln 1 from region 1, kilns 2 and 3 from region 2, and kilns 4 and 5 from region 3. Find the allocation rule for allocating a new pot to one of the three regions, and use the rule on a pot with the following chemical composition:

Transcribed Image Text:

Al2O3 Fe2O3 MgO CaO NaO KO TiO2 MnO BaO 15.5 5.71 2.07 0.98 0.65 3.01 0.76 0.09 0.012