 # Variance Is A Statistical Method Used For Test Differences Between Two Or More Independent Groups?

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Analysis of variance is a statistical method used to test differences between two or more means. ANOVA is used to test general rather than specific differences among means. An ANOVA conducted on a design in which there is only one factor is called a one-way ANOVA. The One-Way ANOVA is considered an omnibus test because it indicates whether or not there are any significant differences in the means between any of the groups. However, it does not indicate which mean are different. The One-way ANOVA compares the means of the samples or groups to make inferences about the population means. The one-way ANOVA, two kinds of variables: independent and dependent. Also, the one-way ANOVA is used to determine whether there are any statistically…show more content…
The One-Way ANOVA can compare the means of three or more groups. Furthermore, by running additional t- tests an increase 5% error increases with every t-test ran. An ANOVA, on the other hand, has a 5% error, that remains trough the duration of the test. Therefore, if one is running many controls the type I error remains at 5% and the researcher can be more confident that any statistically significant result you find is not just running lots of tests.
In a one-way ANOVA, the null hypothesis tested by rather the population means are equal, or that each of the group means is equal. If the null hypothesis is rejected, then it can be concluded that at least one of the population means is different from at least one other population mean. The alternative hypothesis, however, looks to see that at least two of the group means are significantly different. The assumption of independence is obtained if the observations are random and independent if they are to be representative of the populations and in no way related or dependent on another. The distributions of the populations from which the samples are selected are normal; This is commonly referred as the assumption of normality. The variances of the distributions in the populations are equal. This is often referred as the assumption of homogeneity of variance.
In the data file, mtf11sdss. sav, since there is one independent variable and one dependent variable. The race is an independent