Statistical Sciences 2244A/B Chapter Notes - Chapter 13: Statistical Inference, Estimation Theory, Sampling Distribution
5 Oct 2016
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Statistical inference: methods for drawing conclusions about a population from the same data. Random samples and randomized comparative experiments include chance we can"t guarantee the statistical inference will be correct. Parameter: a number that describes the population. This is unknown variable since we can"t examine the whole population. Statistic: a number calculated from the sample data, by using only variables we know. Think statics comes from samples and parameters come from populations. Both start with s and the others with p. With quantitative data mu is for the mean of a population, this is a fixed parameter that"s unknown. Mean of the sample is x (with line on top) this is the average of the observations in the sample. Mu varies for each experiment so it is an estimate of the mean of the population. With categorical data, p is the population proportion of individuals of a given type (this parameter is usually unknown).
