ࡱ>  \pmgray Ba==iL;t18X@"1JArial1JArial1JArial1JArial1JArial1JArial1JArial1JArial1JArial1JArial1JArial1JArial1JArial1 JArial""#,##0;\-""#,##0""#,##0;[Red]\-""#,##0""#,##0.00;\-""#,##0.00#""#,##0.00;[Red]\-""#,##0.005*0_-""* #,##0_-;\-""* #,##0_-;_-""* "-"_-;_-@_-,)'_-* #,##0_-;\-* #,##0_-;_-* "-"_-;_-@_-=,8_-""* #,##0.00_-;\-""* #,##0.00_-;_-""* "-"??_-;_-@_-4+/_-* #,##0.00_-;\-* #,##0.00_-;_-* "-"??_-;_-@_-                + ) , *        A ` informationv interactive? prior only Berry p 353 ,"jb(3 A@@  ? prior meansdn likelihood posteriorIQprior precision uncorrectedqThis interactive demonstration uses the techniques laid out in "Statistics: A Bayesian Perspective" by D A Berry. Berry p 3539The particular methods applied can be found in Chapter 11YChecks on the basics calculations are on the final worksheet, with an example from Berry.To use:}Imagine you are studying a group of people with a particular neurological disorder, and you are trying to ascertain their IQ.`Your prior assumption might be that IQ is normal, hence Gaussian with a mean of 100 and s.d.=15.,Now go to the worksheet labelled interactive! D(see the worksheet labelled prior) for the prior density on its own. ! bThere you will see plots of the prior density, the likelihood function, and the posterior density.samplehIn column B, under sample, you can enter the sample mean, standard deviation and number of observations.  ]Watch the posterior density change as you change the sample statistics of your observed data.>precision is a measure related to the inverse of the variance. cThe box labelled uncorrected is the precision obtained without a correction for small sample sizes.  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