Question

In your own words, describe the difference between Between-Treatments (Groups) and Within-Treatments (Groups) variation. Explain how you would evaluate the variation and other methods to ensure that the data are appropriate to use for the test. Illustrate your ideas using a specific example. In replies to peers, provide additional examples to support the ideas presented.

Answer 1

ANSWER:

Among Group Variation :

refers to the variation which exists due to the difference among individual groups. It is also known as Within-group variation, error group, or error variance. It is considered as the variation among the samples which can be described as the sum of squares between groups.

In this case, the sum of the degree of freedom of each sample is equal to the degrees of freedom. ANOVA is one of the ways to figure out whether a given survey or experiment is statistically significant or not. It tells us whether to reject the null hypothesis or to accept the null hypothesis.

Each example is taken a gander at all alone. At the end of the day, no associations between tests are considered. For instance, suppose you had four groups, speaking to drugs A B C D, with each group made out of 20 individuals in each group and you're estimating individuals' cholesterol levels. For within-group variation, you'll take a gander at differences in cholesterol levels for individuals in group A, without considering groups B, C, and D. At that point you would see cholesterol levels for individuals in group B, without considering groups A, C, and D. Etc.

Within-Group Variation

Within-group variation, called error group or error variation, is a terminology used in ANOVA tests. It refers to changes caused by differences within individual groups (or levels).To explain it in plain words, not all the values within each group for e.g., means, are the same. These are variations not caused by the independent variable.

Within-group variation is accounted for in ANOVA yield as SS(W) or which means Sum of Squares Within groups or SSW: Sum of Squares Within. It is inherently connected to between-group variation (Sum of Squares between), change contrast brought about by how groups associate with one another. This is because the general purpose of ANOVA is to think about the proportion of within-group fluctuation and between-group differences. The center of the ANOVA test - the F measurement - is determined by partitioning the between-group change by the within-group fluctuation.