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Set up data analysis functions on simulation series

Simulator > Charts > Set up data analysis functions on simulation series |

Opening the Data Analysis window

Do one of the following:

- Right click on a curve in the main chart and select
**Edit Data Analysis...**from the dropdown menu. - From the Simulator menu, use
**Edit>Data Analysis** - Click on the
**Edit Solver**icon in the chart toolbar and then click on the Data Analysis tab.

Setting up a data analysis function

- Select the
**Analysis tool**you want to use from the dropdown menu. - From the variable list in
**Select data series for analysis**use the**Add**and**Remove**buttons to make your list. - Click
**Create**.

Which series can I select for data analysis?

Each of the data analysis functions are useful when comparing series predictions with measured values and can be applied to series with both experimental and simulated data:

- Residual
- SSQ
- Variance
- Chi-squared
- Standard deviation

Totalizer is useful to totalize rates, so can only be applied to plotted variables with a **rate type unit** (e.g. mol/s, J/s, W, L/min etc).

Equations used by the data analysis functions

Nomenclature used in the equations

Residual

The residual is the difference between data and model:

One residual is plotted for each data point. If the fit is good, the residuals should be scattered around the x-axis. If there is a clear systematic trend in the residuals, it indicates that the model does not describe the data well.

Variance

The variance is the cumulative sum of squares divided by the number of data points - 1. This is one indicator of goodness of fit:

Sum of Squares

This is the cumulative sum of squares (squares of the residuals):

Show me more on SSQ usage in parameter fitting.

Chi squared

The chi-squared statistic is the sum of squares weighted with user defined errors. If no errors are supplied for the data series (in the data sheet) or the error is 0, then s is set to 1:

Show me more on CHISQ usage in parameter fitting.

Standard deviation

The standard deviation is the square root of the variance. It has the same units as the data series being analyzed:

Totalizer

Integrates a plotted rate curve using the trapezoidal rule, e.g. producing cumulative moles from a plot in mol/s.