# Weighting Data

### Student Objectives for this Chapter

- To understand why all data are not equal
- To understand measures of data accuracy and how they relate to weighting
- To understand how to use different weighting schemes
- To understand why different weighting schemes might be used

Not all data are the same. Not even data values within an experiment or set are the same. I don't mean the same value that is obvious but the uncertainty or error in the data. Each data point has a specified measured value but for that value to have any meaning we must also know the uncertainty or error in the data value. An estimate of the standard deviation or variance. In this way we have an estimate of the precision of the data value. When these data are modeled the measure of uncertainty should be included in the analysis. This uncertainty is expressed by means of a weight (or emphasis) given to each data point.

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