STAT 2040 Lecture Notes - Lecture 14: Family-Wise Error Rate, Statistical Inference, Bonferroni Correction
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1 Apr 2015
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Ch 14 one-way anova a test on means!!! In one-way analysis of variance (anova), the pooled-variance two-sample t-test is extended to more than two samples. test the null hypothesis that k populations all have the same mean. By comparing the variability between groups to the variability within groups. In one-way anova the test statistic is an f statistic. The assumptions of one-way anova are the same as those of the pooled-variance two-sample t-test: the samples are independent simple random samples from the populations, the populations are normally distributed, the population variances are equal. Work poorly if the variances are very different. The methods will start to break down if the largest standard deviation is more than double the smallest standard deviation. Total sum of squares where the summation is over all observations. The total sum of squares is partitioned into two components . The sums of squares for treatment and error add to the total sum of squares: