Note: The thumbnail sketch shown to the left of each equation shows a generic plot of the behavior of the location parameter, μ, over time. In the report’s main plot, the plot of the estimated median can differ from the thumbnail based on your selections for Distribution and Transformation.
Table 7.2 Model Equations 
μ = b0 + b1 * f(time)
μ = b1 * f(time)
μ = b0X + b1 * f(time)
μ = b0X + b1x * f(time)
μ = b1X * f(time)
μ = b0 + b1X * f(time)
μ = b0 - b1 * Exp[-b2 * Exp[b3 * [Arrhenius(X0) - Arrhenius(X)]] * f(time)]
μ = b0 * [1 - Exp[-b1 * Exp[b2 * [Arrhenius(X0) - Arrhenius(X)]] * f(time)]]
μ = b0 + b1 * Exp[-b2 * Exp[b3 * [Arrhenius(X0) - Arrhenius(X)]] * f(time)]
μ = b0 * Exp[-b1 * Exp[b2 * [Arrhenius(X0) - Arrhenius(X)]] * f(time)]
μ = b0 ± Exp[b1 + b2 * Arrhenius(X)] * f(time)
μ = b0 ± Exp[b1 + b2 * Log(X)] * f(time)
μ = b0 ± Exp[b1 + b2 * X] * f(time)
Figure 7.12 Common Slope Model Using a Lognormal Distribution
When you first select any of these models, you are asked to specify the measurement scale for temperature and a value for X0, the temperature under typical use conditions. The value for X0 is used to construct a time acceleration factor (Meeker and Escobar 1998). If you subsequently select another of the first-order kinetics models or the Arrhenius Rate model (see Arrhenius Rate), the platform remembers and uses these specifications.
In this model, b1 and b2 are positive. On a linear scale, the curves have an upper asymptote at b0as time approaches infinity.
In this model, the location parameter is zero at time zero. Both b0 and b1 are positive. On a linear scale, the curves have an upper asymptote at b0 as time approaches infinity. You can think of the Type 2 model as a vertically shifted version of the Type 1 model.
In this model, both b1 and b2 are positive. Because of the sign preceding b1 is the opposite of the sign preceding b1 in the Type 1 model, this model is an inverted version of the Type 1 model. On a linear scale, it has a lower asymptote at b0 as time approaches infinity.
Given data exhibiting a negative slope over time, the fitted model can produce a plot similar to Figure 7.13. The figure is for Adhesive Bond.jmp. The selected temperature measurement scale is Celsius and the specified temperature under typical use conditions is 35 degrees.
Figure 7.13 Example of First-Order Kinetics Model Type 3

Help created on 7/12/2018