State the requirements that must be satisfied to use the one-way ANOVA procedure. Select all that apply.

A. The k samples must be independent of each other. B. There must be k simple random samples, one from each of k populations. C. The populations must be normally distributed. D. There must be k simple random samples, each from the same population. E. The populations must have the same variance. F. The populations must have the same m

Question

Reina Lloyd

Mathematics

16 September, 02:00

State the requirements that must be satisfied to use the one-way ANOVA procedure. Select all that apply.

A. The k samples must be independent of each other. B. There must be k simple random samples, one from each of k populations. C. The populations must be normally distributed. D. There must be k simple random samples, each from the same population. E. The populations must have the same variance. F. The populations must have the same m

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Wilber · Answer 1

Answer:B. There must be k simple random samples, one from each of k populations.

A. The k samples must be independent of each other.

C. The populations must be normally distributed.

E. The populations must have the same variance.

D. There must be k simple random samples, each from the same population.

Step-by-step explanation:ANOVA (Analysis of variance) is a Mathematical and statistical analysis tool used t analyse the variance of a sample.

ANOVA was formulated based on the law of total variance by Ronald Fisher a Biologist and statistician. The variance from sample is partitioned to Attribute it to different causes.

Requirements to Perform a One - Way ANOVA Test

(1) There must be k simple random samples, one from each of k populations.

(2) The k samples must be independent of each other.

(3) The populations must be normally distributed.

(4) The populations must have the same variance.

(5) There must be k simple random samples, each from the same population.