Publication

Two-Way Plots Based On Mixed Traces

2002
Conference Papers

Abstract

The two-way plot is a well-known tool to visualize the fit of a two-way table. An additive fit can be represented by two sets of parallel traces, whose intersection ordinates equal the fitted values. Based on linear traces, a variety of other two-way plots were investigated recently. In this work we present two-way plots based on general traces. We show that the resulting fits equal the ones using linear traces. Hence, we also study mixed traces: hyperbolic ones to represent the columns and linear ones to represent the rows of a two-way table.

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2002
Conference Papers

Abstract

Official source

Related concepts (32)

Linear form

In mathematics, a linear form (also known as a linear functional, a one-form, or a covector) is a linear map from a vector space to its field of scalars (often, the real numbers or the complex numbers). If V is a vector space over a field k, the set of all linear functionals from V to k is itself a vector space over k with addition and scalar multiplication defined pointwise. This space is called the dual space of V, or sometimes the algebraic dual space, when a topological dual space is also considered.

Linearity

In mathematics, the term linear is used in two distinct senses for two different properties: linearity of a function (or mapping ); linearity of a polynomial. An example of a linear function is the function defined by that maps the real line to a line in the Euclidean plane R2 that passes through the origin. An example of a linear polynomial in the variables and is Linearity of a mapping is closely related to proportionality. Examples in physics include the linear relationship of voltage and current in an electrical conductor (Ohm's law), and the relationship of mass and weight.

Trace (linear algebra)

In linear algebra, the trace of a square matrix A, denoted tr(A), is defined to be the sum of elements on the main diagonal (from the upper left to the lower right) of A. The trace is only defined for a square matrix (n × n). It can be proven that the trace of a matrix is the sum of its (complex) eigenvalues (counted with multiplicities). It can also be proven that tr(AB) = tr(BA) for any two matrices A and B. This implies that similar matrices have the same trace.

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