GGR 270 – Lecture 9 – November 10, 2010

Hypothesis Testing

To determine the level of precision of estimates, a confidence interval is

placed around the sample

This is one form of ‘inference’

A properly created sample is essential for the successful application of

inferential statistics

Often, geographers want to know if a particular sample is representative of

the population

Issue here may be to show that the sample differs significantly from the

population

Hypothesis Testing – classic approach

Process that is generally followed for hypothesis testing

oState null and alternate hypothesis

oSelect appropriate statistical test

oSelect level of significance

oDelineate regions of rejection and non-rejection of the null hypothesis

oCalculate test statistic

oCompare test statistic to theoretical value

Hypotheses

2 complementary hypotheses of interest:

NULL hypothesis (H0)

ALTERNATE hypothesis (Ha)

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## Document Summary

Ggr 270 lecture 9 november 10, 2010. To determine the level of precision of estimates, a confidence interval is placed around the sample. a properly created sample is essential for the successful application of inferential statistics. often, geographers want to know if a particular sample is representative of the population. Issue here may be to show that the sample differs significantly from the population. reject h0 as false, when in fact it is true. observing a difference when none actually exists. Fail to reject h0 when in fact it is false. Failing to observe a difference when one does exist. Test used is a function of the research question, and research assumptions. Tests will vary according to the number of samples drawn, sampling design, scale of information. one of the most com mon is the one-sample means test or one-sample difference of means test. placing a probability statement on the likelihood of sample error.