What are the requirements to perform a one-way ANOVA? Is the test robust?What are the requirements to perform a one-way ANOVA? Select all that apply. A.There must be k simple random samples, one from each of k populations or a randomized experiment with k treatments. B.The sample size for each of the k samples must be equal. C.The k samples must be independent of each other; that is, the subjects in one group cannot be related in any way to subjects in a second group. D.The populations must have the same variance; that is, each treatment group has population variancesigmaσ2. E.The sample means must all be equal. F.The populations must be normally distributed. G.The within-sample variability must be less than the combined variances of each group.Is the one-way ANOVA test robust? A.Yes, small departures from the normality requirement do not significantly affect the results. B.No, small departures from the normality requirement significantly affect the results. C.Yes, outliers in the data do not significantly affect the results. D.No, outliers in the data significantly affect the results. Click to select your answer.

One-way ANOVA - ANOVA means analysis of variance, it is a test in statistics used to find the…

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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What are the requirements to perform a one-way ANOVA? Is the test robust?

What are the requirements to perform a one-way ANOVA? Select all that apply.

There must be k simple random samples, one from each of k populations or a randomized experiment with k treatments.

The sample size for each of the k samples must be equal.

The k samples must be independent of each other; that is, the subjects in one group cannot be related in any way to subjects in a second group.

The populations must have the same variance; that is, each treatment group has population variance

sigmaσ2.

The sample means must all be equal.

The populations must be normally distributed.

The within-sample variability must be less than the combined variances of each group.

Is the one-way ANOVA test robust?

Yes, small departures from the normality requirement do not significantly affect the results.

No, small departures from the normality requirement significantly affect the results.

Yes, outliers in the data do not significantly affect the results.

No, outliers in the data significantly affect the results.

Click to select your answer.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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