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Contents10 Chi square Introduction .. The Chi square distribution .. Goodness of Fit Test .. Chi square Test for Independence .. Statistical Relationships and Association .. A Test for Independence .. Notation for the Test of Independence .. Reporting Chi square Tests for Independence .. Test of Independence from an SPSS Program .. Summary .. Conclusion .. 764702 Chapter 10 Chi square IntroductionThe statistical inference of the last three chapters has concentrated on statis-tics such as the mean and the proportion. These summary statistics havebeen used to obtain interval estimates and test hypotheses concerning popu-lation parameters. This chapter changes the approach to inferential statisticssomewhat by examining whole distributions, and the relationship betweentwo distributions. In doing this, the data is not summarized into a singlemeasure such as the mean, standard deviation or proportion.
Chi-Square Tests 705 tribution is based are squared, so that the symbol ´2 is used to denote the distribution. An example of the chi squared distribution is given in Figure 10.1.
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