Chapter 13: Q.6 (page 764)

There are five basic assumptions that must be fulfilled in order to perform a one-way ANOVA test.
State the null hypothesis for a one-way ANOVA test if there are four groups.

Short Answer

Expert verified

The null hypothesis for the four groups is given below:

$H_{0} : μ_{1} = μ_{2} = μ_{3} = μ_{4}$

Where, $μ_{1}$ is the mean of the first group, $μ_{2}$ is the mean of the second group, $μ_{3}$ is the mean of the third group and $μ_{4}$ is the mean of the fourth.

Step by step solution

Step[ 1 Given Information

Five basic assumptions must be fulfilled to perform a one-way ANOVA test.

We have to state the null hypothesis for a one-way ANOVA test if there are four groups.

Explanation

The null hypothesis for a one-way ANOVA test is simply that, all the group population means are the same. The null hypothesis for the four groups is given below:

$H_{0} : μ_{1} = μ_{2} = μ_{3} = μ_{4}$

Where, $μ_{1}$ is the mean of the first group, $μ_{2}$ is the mean of the second group, $μ_{3}$ is the mean of the third group and $μ_{4}$ is the mean of the fourth.

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Bare: $n_{1} = 3$	Ground cover: $n_{2} = 3$	Plastic: $n_{3} = 3$	Straw: $n_{4} = 3$	Compost: $n_{5} = 3$
2625	5348	6583	7285	6277
2997	5682	8560	6897	7818
4915	5482	3830	9230	8677

Team 1	Team 2	Team 3	Team 4	Team 5
36	32	48	38	41
42	35	50	44	39
51	38	39	46	40

East	West
$38$	$71$
$47$	$126$
$30$	$42$
$82$	$51$
$75$	$44$
$52$	$90$
$115$	$88$
$67$

There are five basic assumptions that must be fulfilled in order to perform a one-way ANOVA test.
State the null hypothesis for a one-way ANOVA test if there are four groups.

Short Answer

Step by step solution

Step[ 1 Given Information

Explanation

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There are five basic assumptions that must be fulfilled in order to perform a one-way ANOVA test.State the null hypothesis for a one-way ANOVA test if there are four groups.

Short Answer

Step by step solution

Step[ 1 Given Information

Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Study anywhere. Anytime. Across all devices.

There are five basic assumptions that must be fulfilled in order to perform a one-way ANOVA test.
State the null hypothesis for a one-way ANOVA test if there are four groups.