The Ingots2.jmp sample data table includes the numbers of ingots tested for readiness after different treatments of heating and soaking times. The response variable, NReady, is binomial, depending on the number of ingots tested (Ntotal) and the heating and soaking times. Maximum likelihood estimates for parameters from a probit model with binomial errors are obtained using:
The average number of ingots ready is the product of the number tested and the probability that an ingot is ready for use given the amount of time it was heated and soaked. Using a probit model, the P column contains the model formula:
Normal Distribution(b0+b1*Heat+b2*Soak)
The argument to the Normal Distribution function is a linear model of the treatments.
To specify binomial errors, the loss function, Loss, has the formula
-(Nready*Log(p) + (Ntotal - Nready)*Log(1 - p))
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Select Analyze > Specialized Modeling > Nonlinear.
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Select the Numeric Derivatives Only option.
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Click OK.
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Click Go.
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The platform used the Numerical SR1 method to obtain the parameter estimates shown in Solution for the Ingots2 Data.
