Q.18 What is聽MSbetween聽?... [FREE SOLUTION]

91影视

Introductory Statistics

Barbara Illowsky, Susan Dean

$Math Studyset 91影视 Explanations$ Math

OER 2018 Edition 路 902 pages

ISBN: 9781938168208

Chapter 13: Q.18 (page 765)

What is $M S_{between}$ ?

Short Answer

Expert verified

The value of $M S_{between} = 8.58333$ .

Step by step solution

Given Information

Team 1	Team 2	Team 3	Team 4
1	2	0	3
2	3	0	4
0	2	1	4
3	4	1	3
2	4	0	2

Explanation

To find the value of $M S_{between}$ :

From our Table, we can calculate

s_{1} = 8, s_{2} = 15, s_{3} = 2, s_{4} = 16

We now can calculate:

{SS}_{between} = 鈭� [\frac{{(s_{j})}^{2}}{n_{j}}] - \frac{{(鈭� s_{j})}^{2}}{n}

$S S_{between} = \frac{s_{1}^{2}}{5} + \frac{s_{2}^{2}}{5} + \frac{s_{3}^{2}}{5} + \frac{s_{4}^{2}}{5} - \frac{{(s_{1} + s_{2} + s_{3} + s_{4})}^{2}}{20}$

$where n_{1} = n_{2} = n_{3} = n_{4} = 5 and n = n_{1} + n_{2} + n_{3} + n_{4} = 20$

W calculate,

$\frac{(8)^{2}}{5} + \frac{(15)^{2}}{5} + \frac{(2)^{2}}{5} + \frac{(16)^{2}}{5} - \frac{(8 + 15 + 2 + 16)^{2}}{20}$

${SS}_{between} = 109, 8 - 84.05 = 25.75$

Calculate the Mean Sum of Squares between the groups

We calculate $M S_{between}$ like:

$M S_{between} = \frac{S S_{between}}{k - 1}$

{MS}_{between} = \frac{25.75}{3} = 8.58333

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91影视

What is $M S_{between}$ ?

Short Answer

Step by step solution

Given Information

Explanation

Calculate the Mean Sum of Squares between the groups

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91影视

What isMSbetween?

Short Answer

Step by step solution

Given Information

Explanation

Calculate the Mean Sum of Squares between the groups

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Decision Maths

Logic and Functions

Mechanics Maths

Geometry

Calculus

Study anywhere. Anytime. Across all devices.

What is $M S_{between}$ ?