W4 Lecture - Week Four Lecture In previous activity when we...

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Week Four Lecture In previous activity when we had a large sample (over 30) we used the z distribution to determine whether it was reasonable to conclude that the mean calculated from a particular sample came from the hypothesized population. We also examined methods for conducting tests of means were populations were assumed normal but the samples were small (contained less than 30 observations). This was the t distribution and test. Now we want to be able to describe a test for variance that compares several means to determine if they came from equal populations. That method is the Analysis of Variance, known as ANOVA. In ANOVA, we use the F distribution. This probability distribution is used as a test statistic for several situations. We use it to test whether two samples are from populations having equal variances, and it is also implies when we want to compare several population means simultaneously. In this situation, it is important that the populations are normal, and the data at least interval scale. In ANOVA, there is a family of F distributions determined by the degrees of freedom in the numerator and the degrees of freedom in the denominator. Thus, there is one shape for 29 degrees of freedom in the numerator and 28 degrees of freedom in
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This note was uploaded on 10/10/2010 for the course STATS Stats301 taught by Professor Regis during the Spring '10 term at DeVry Irvine.

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W4 Lecture - Week Four Lecture In previous activity when we...

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