EXPLORING MODELS IN EXCEL

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Formulas can be used in Excel to plot graphs of the generalised logistic and Gompertz curves, enabling the user to explore various values for the parameters.
Step 1
Input the constant values for A, C, T and M in cells on a spreadsheet as shown below.
Step 2
Input the values for time (x) down the first column, e.g. 0, 10, 20 ...
Step 3
Using the formula toolbar, type in the formula for the generalised logistic growth curve for the first y cell, typing in the numeric values of the constants not the cell referencing them.
e.g. = A2 + (B2 / POWER((1 + (C2 * EXP(-D2 * (A5 - E2)))), 1 / C2)))
Step 4
Highlight the cell, with the formula and drag the bottom right corner down to the row of the last x values. Use 'replace' to replace the numeric values of the constants with their cell references.
Step 5
Highlight the cells containing the values (x and y), and use the chart wizard to plot them. Now any of the x values and constant values can be changed and the results examined.

A screen shot from an example run is shown below.

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Growth curve modelling 1.6.95 Page : 12d of 12