Bradley Jones, JMP Distinguished Research Fellow, JMP
Latin Squares are beautifully symmetric designs employing a given number of symbols in the same number of rows and columns. Each row and each column has all the symbols. A Youden Square, attributed to Jack Youden, is a Latin Square from which a number of rows have been removed. The Youden Square is also a special case of a balanced incomplete block design (BIBD), which is one of the design tools in JMP. All these designs have been around for decades. They support a single categorical factor and one or two blocking factors. They are commonly used in agriculture where the rows and columns are rows and columns of plants and it is desirable to remove any fertility gradients in a field in the analysis.
In industrial settings, it is unusual for experiments to be limited to only categorical factors and blocking factors. However, it could be very useful to use these designs as building blocks for creating experiments in an industry with more factors. This talk will show how this can be done in JMP using a combination of the BIBD designer and the Custom Designer.
