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Closeness and Confidence

July 29, 2007 · Filed Under Education 

Here is my summary of Meaning from Data: Statistics Made Clear Lecture Three. I made it using a combination of GIMP and Inkscape, so it’s not quite up to Photoshop standards. It shows a sample of stars randomly taken from a larger pool of stars. The information that can be inferred from the smaller sample about the larger one (that is, it’s shape, centre and spread) is limited in terms of ‘closeness’ and ‘confidence’. The aim of an experiment is to enable us to infer the characteristics of the complete data set with high closeness and high confidence. If closeness is high but confidence low then we will find that the estimates will often be outside the closeness limits. If the closeness is low but the confidence high then the estimates will be too vague to rely upon.

 

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