What conditions are necessary in order to use a one-way ANOVA ...

Question

What conditions are necessary in order to use a one-way ANOVA test?

Accepted Answer

Hello there. Today we're gonna solve the following practice problem together. So, first off, let us read the problem and highlight all the key pieces of information that we need to use in order to solve this problem. Which of the following is not a required assumption for conducting a one-way ANOVA test? Awesome. So it appears for this particular problem, we're ultimately trying to determine which of our multiple choice answers. are not required or is considered not a required assumption for conducting a one-way ANOVA test. So, as we should recall, a ANOVA is an analysis of Variance. So this is an analysis of variance test for a one-way analysis of variance test. So now that we know what we're ultimately trying to solve for, let's take a moment to read off our multiple choice answers to see what our final answer might be. A is the samples are dependent on each other. B is the populations have equal variances, C is the populations are normally distributed, and D is the dependent variable is measured at the interval or ratio scale. Awesome. So what we need to do first in order to solve this problem is we need to recall and note that one way ANOVA tests require that samples are independent, not dependent. So I'll put a capital I for independent, so we'll remember. So once again, a one-way analysis of variance test requires that samples are independent, not dependent. Our second step is we need to recall that equal variances among populations is required, so I'll put an equal symbol, so we'll remember. And our third step is that normality of populations is required, so the populations have to be normal. So there's normality of populations required. So I'll put a capital N for normality. Awesome. And our 4th step is we should recall that dependent variables must be at the interval or ratio level. So I'll put a capital D. And an arrow, so it has to be dependent variables must be at the interval, which you call it IN for interval or capital R for ratio level. So, once again, the dependent variable must be at the interval or ratio level. So with that in mind, our 5th and final step. we need to note that out of all of our multiple choice answers, multiple choice answer letter A, which once again is, the samples are dependent on each other, that means that option A is not a required assumption, rather, it is actually the opposite of what is required. So that means that our final answer without a doubt has to be multiple choice answer letter A. Which is the samples are dependent on each other. And that's it. That is our final answer. Thank you so much for watching. Hopefully that helped, and I can't wait to see you in the next video. Bye.

What conditions are necessary in order to use a one-way ANOVA test?

Key Concepts

Independence of Observations

Normality

Homogeneity of Variances

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